STACK
| Online assessment
API Demonstration
Choose a STACK sample file:
Algebra-Refresher
01-Combinations-of-arithmetic-operations
AlgMap-1-1.xml
AlgMap-1-2.xml
AlgMap-1-3.xml
AlgMap-1-4.xml
AlgMap-1-5.xml
AlgMap-1-6.xml
AlgMap-1-7.xml
02-Factorisation-of-whole-numbers
AlgMap-2-1.xml
AlgMap-2-2.xml
AlgMap-2-3.xml
AlgMap-2-4.xml
AlgMap-2-5.xml
AlgMap-2-6.xml
AlgMap-2-7.xml
03-Addition-and-subtraction-of-fractions
AlgMap-3-1.xml
AlgMap-3-2.xml
AlgMap-3-3.xml
AlgMap-3-4.xml
AlgMap-3-5.xml
AlgMap-3-6.xml
AlgMap-3-7.xml
AlgMap-3-8.xml
AlgMap-3-9.xml
04-Multiplication-and-division-of-fractions
AlgMap-4-1.xml
AlgMap-4-2.xml
AlgMap-4-3.xml
AlgMap-4-4.xml
AlgMap-4-5.xml
AlgMap-4-13.xml
05-Combinations-of-arithmetic-operations-on-fractions
AlgMap-5-1.xml
AlgMap-5-2.xml
06-Simplifying-algebraic-expressions
AlgMap-6-1.xml
AlgMap-6-2.xml
AlgMap-6-4.xml
AlgMap-6-5.xml
AlgMap-6-6.xml
AlgMap-6-7.xml
AlgMap-6-8.xml
07-Removing-brackets
AlgMap-7-1.xml
AlgMap-7-2.xml
AlgMap-7-3.xml
AlgMap-7-4.xml
AlgMap-7-5.xml
AlgMap-7-6.xml
AlgMap-7-7.xml
AlgMap-7-8.xml
AlgMap-7-9.xml
AlgMap-7-10.xml
08-Algebraic-fractions
AlgMap-8-1.xml
AlgMap-8-2.xml
AlgMap-8-3.xml
AlgMap-8-4.xml
AlgMap-8-5.xml
AlgMap-8-6.xml
AlgMap-8-7.xml
AlgMap-8-8.xml
AlgMap-8-9.xml
AlgMap-8-10.xml
AlgMap-8-11.xml
AlgMap-8-12.xml
AlgMap-8-13.xml
AlgMap-8-14.xml
AlgMap-8-15.xml
AlgMap-8-16.xml
AlgMap-8-17.xml
AlgMap-8-18.xml
AlgMap-8-19.xml
AlgMap-8-20.xml
AlgMap-8-21.xml
AlgMap-8-22.xml
AlgMap-8-23.xml
09-Linear-equations
AlgMap-9-1.xml
AlgMap-9-2.xml
AlgMap-9-3.xml
AlgMap-9-4.xml
AlgMap-9-5.xml
AlgMap-9-6.xml
10-Expressions-single-term-common-factors
AlgMap-10-1.xml
AlgMap-10-2.xml
AlgMap-10-3.xml
AlgMap-10-4.xml
AlgMap-10-5.xml
AlgMap-10-6.xml
AlgMap-10-7.xml
AlgMap-10-8.xml
AlgMap-10-9.xml
11-Rearranging-algebraic-formulae
AlgMap-11-1.xml
AlgMap-11-2.xml
AlgMap-11-3.xml
AlgMap-11-4.xml
AlgMap-11-5.xml
AlgMap-11-6.xml
AlgMap-11-7.xml
AlgMap-11-8.xml
AlgMap-11-9.xml
AlgMap-11-10.xml
AlgMap-11-11.xml
12-Simultaneous-linear-equations
AlgMap-12-1.xml
13-Factorising-algebraic-expressions
AlgMap-13-1-.xml
AlgMap-13-2.xml
AlgMap-13-3.xml
AlgMap-13-4.xml
AlgMap-13-5.xml
AlgMap-13-6.xml
AlgMap-13-7.xml
AlgMap-13-8.xml
AlgMap-13-9.xml
AlgMap-13-10.xml
AlgMap-13-11.xml
AlgMap-13-12.xml
AlgMap-13-13.xml
AlgMap-13-14.xml
AlgMap-13-14b.xml
AlgMap-13-15.xml
AlgMap-13-16.xml
AlgMap-13-17.xml
AlgMap-13-18.xml
AlgMap-13-19.xml
AlgMap-13-20.xml
AlgMap-13-21.xml
AlgMap-13-22.xml
14-Algebraic-fractions-involving-factorising
AlgMap-14-1.xml
AlgMap-14-2.xml
AlgMap-14-3.xml
AlgMap-14-4.xml
AlgMap-14-5.xml
AlgMap-14-6.xml
AlgMap-14-7.xml
AlgMap-14-8.xml
AlgMap-14-9.xml
AlgMap-14-10.xml
AlgMap-14-11.xml
15-Quadratic-equations
AlgMap-15-1.xml
AlgMap-15-2.xml
AlgMap-15-3.xml
AlgMap-15-4.xml
AlgMap-15-5.xml
AlgMap-15-6.xml
AlgMap-15-7.xml
AlgMap-15-8.xml
Partial-Fractions
Diagnostic_ALG-IPF_1.xml
Diagnostic_ALG-IPF_2.xml
Diagnostic_ALG-RPF_1.xml
Diagnostic_ALG-RPF_2.xml
Diagnostic_ALG-SPF_1.xml
Diagnostic_ALG-SPF_2.xml
Diagnostic_ALG-SPF_3.xml
Partial_Fractions_1.xml
Calculus-Refresher
CR_Diff_01
CR-Diff-01-basic-1-b.xml
CR-Diff-01-basic-1-e.xml
CR-Diff-01-basic-1-f.xml
CR-Diff-01-basic-1-h.xml
CR-Diff-01-basic-1-j.xml
CR-Diff-01-basic-1-k.xml
CR-Diff-01-basic-2-b.xml
CR-Diff-01-basic-2-d.xml
CR-Diff-01-basic-2-f.xml
CR-Diff-01-basic-2-g.xml
CR-Diff-01-basic-2-h.xml
CR-Diff-01-basic-2-i.xml
CR-Diff-01-basic-3-b.xml
CR-Diff-01-basic-3-c.xml
CR-Diff-01-basic-3-d.xml
CR-Diff-01-basic-3-e.xml
CR-Diff-01-basic-4-b.xml
CR-Diff-01-basic-4-c.xml
CR_Diff_02
CR-Diff-02-linearity-1-a.xml
CR-Diff-02-linearity-1-b.xml
CR-Diff-02-linearity-1-d.xml
CR-Diff-02-linearity-1-e.xml
CR-Diff-02-linearity-1-f.xml
CR-Diff-02-linearity-1-g.xml
CR-Diff-02-linearity-2-a.xml
CR-Diff-02-linearity-2-b.xml
CR-Diff-02-linearity-2-c.xml
CR-Diff-02-linearity-2-d.xml
CR-Diff-02-linearity-2-e.xml
CR-Diff-02-linearity-3-a.xml
CR-Diff-02-linearity-3-c.xml
CR-Diff-02-linearity-4-c.xml
CR-Diff-02-linearity-4-e.xml
CR-Diff-02-linearity-5-a.xml
CR-Diff-02-linearity-5-b.xml
CR_Diff_03
CR-Diff-03-higher-1-b.xml
CR-Diff-03-higher-1-c.xml
CR-Diff-03-higher-1-d.xml
CR-Diff-03-higher-1-e.xml
CR-Diff-03-higher-1-f.xml
CR-Diff-03-higher-1-i.xml
CR-Diff-03-higher-1-j.xml
CR_Diff_04
CR-Diff-04-product-1-a.xml
CR-Diff-04-product-1-b.xml
CR-Diff-04-product-1-c.xml
CR-Diff-04-product-1-d.xml
CR-Diff-04-product-1-e.xml
CR-Diff-04-product-1-f.xml
CR-Diff-04-product-2-b.xml
CR-Diff-04-product-2-c.xml
CR-Diff-04-product-2-d.xml
CR-Diff-04-product-2-e.xml
CR-Diff-04-product-2-f.xml
CR-Diff-04-product-2-g.xml
CR_Diff_05
CR-Diff-05-quotient-1-a.xml
CR-Diff-05-quotient-1-b.xml
CR-Diff-05-quotient-1-c.xml
CR-Diff-05-quotient-1-d.xml
CR-Diff-05-quotient-1-e.xml
CR-Diff-05-quotient-2-a.xml
CR-Diff-05-quotient-2-b.xml
CR-Diff-05-quotient-2-c.xml
CR-Diff-05-quotient-2-d.xml
CR-Diff-05-quotient-2-e.xml
CR-Diff-05-quotient-3-a.xml
CR-Diff-05-quotient-3-b.xml
CR-Diff-05-quotient-3-c.xml
CR-Diff-05-quotient-3-d.xml
CR_Diff_06
CR-Diff-06-chain-1-a.xml
CR-Diff-06-chain-1-b.xml
CR-Diff-06-chain-1-c.xml
CR-Diff-06-chain-1-d.xml
CR-Diff-06-chain-1-f.xml
CR-Diff-06-chain-1-h.xml
CR-Diff-06-chain-2-a.xml
CR-Diff-06-chain-2-b.xml
CR-Diff-06-chain-2-c.xml
CR-Diff-06-chain-2-d.xml
CR-Diff-06-chain-2-e.xml
CR-Diff-06-chain-2-f.xml
CR-Diff-06-chain-3-a.xml
CR-Diff-06-chain-3-b.xml
CR-Diff-06-chain-3-c.xml
CR-Diff-06-chain-3-d.xml
CR-Diff-06-chain-3-e.xml
CR-Diff-06-chain-3-f.xml
CR_Diff_07
CR-Diff-07-implicit-1-a.xml
CR-Diff-07-implicit-1-b.xml
CR-Diff-07-implicit-1-c.xml
CR-Diff-07-implicit-2-a.xml
CR-Diff-07-implicit-2-b.xml
CR-Diff-07-implicit-2-e.xml
CR_Diff_08
CR-Diff-08-parametrical-1-a.xml
CR-Diff-08-parametrical-1-b.xml
CR-Diff-08-parametrical-1-c.xml
CR-Diff-08-parametrical-1-d.xml
CR-Diff-08-parametrical-2-a.xml
CR-Diff-08-parametrical-2-b.xml
CR_Diff_09
CR-Diff-09-misc-1-e.xml
CR-Diff-09-misc-1-g.xml
CR-Diff-09-misc-2-b.xml
CR-Diff-09-misc-2-c.xml
CR-Diff-09-misc-3-c.xml
CR-Diff-09-misc-3-d.xml
CR-Diff-09-misc-3-e.xml
CR-Diff-09-misc-4-b.xml
CR-Diff-09-misc-5-b.xml
CR-Diff-09-misc-6-b.xml
CR_Int_10
CR-Int-10-basic-1-a.xml
CR-Int-10-basic-1-b.xml
CR-Int-10-basic-1-d.xml
CR-Int-10-basic-1-f.xml
CR-Int-10-basic-1-m.xml
CR-Int-10-basic-1-n.xml
CR-Int-10-basic-2-a.xml
CR-Int-10-basic-2-b.xml
CR-Int-10-basic-2-c.xml
CR-Int-10-basic-2-d.xml
CR-Int-10-basic-2-e.xml
CR-Int-10-basic-2-f.xml
CR-Int-10-basic-2-g.xml
CR-Int-10-basic-2-h.xml
CR-Int-10-basic-2-i.xml
CR-Int-10-basic-2-j.xml
CR-Int-10-basic-2-l.xml
CR_Int_11
CR-Int-11-linearity-1-b.xml
CR-Int-11-linearity-1-c.xml
CR-Int-11-linearity-1-d.xml
CR-Int-11-linearity-1-e.xml
CR-Int-11-linearity-1-h.xml
CR-Int-11-linearity-1-k.xml
CR-Int-11-linearity-2-a.xml
CR-Int-11-linearity-2-d.xml
CR-Int-11-linearity-2-f.xml
CR-Int-11-linearity-2-l.xml
CR-Int-11-linearity-3-e.xml
CR-Int-11-linearity-3-f.xml
CR_Int_12
CR-Int-12-definite-1-b.xml
CR-Int-12-definite-1-f.xml
CR-Int-12-definite-1-g.xml
CR-Int-12-definite-1-h.xml
CR-Int-12-definite-2.xml
CR-Int-12-definite-3.xml
CR_Int_13
CR-Int-13-parts-1-a.xml
CR-Int-13-parts-1-b.xml
CR-Int-13-parts-1-c.xml
CR-Int-13-parts-1-d.xml
CR-Int-13-parts-1-e.xml
CR-Int-13-parts-1-f.xml
CR-Int-13-parts-2-a.xml
CR-Int-13-parts-2-b.xml
CR-Int-13-parts-2-c.xml
CR-Int-13-parts-2-d.xml
CR-Int-13-parts-3-c.xml
CR-Int-13-parts-4-a.xml
CR-Int-13-parts-5.xml
CR-Int-13-parts-6.xml
CR-Int-13-parts-7.xml
CR_Int_14
CR-Int-14-substitution-1-b.xml
CR-Int-14-substitution-1-f.xml
CR-Int-14-substitution-1-i.xml
CR-Int-14-substitution-1-j.xml
CR-Int-14-substitution-2-a.xml
CR-Int-14-substitution-3-b.xml
CR-Int-14-substitution-3-c.xml
CR-Int-14-substitution-3-d.xml
CR-Int-14-substitution-3-f.xml
CR-Int-14-substitution-3-g.xml
CR-Int-14-substitution-4.xml
CR-Int-14-substitution-5-a.xml
CR-Int-14-substitution-5-c.xml
CR-Int-14-substitution-6-a.xml
CR-Int-14-substitution-6-b.xml
CR-Int-14-substitution-6-c.xml
CR_Int_15
CR-Int-15-partialfrac-1-b.xml
CR-Int-15-partialfrac-1-e.xml
CR-Int-15-partialfrac-1-h.xml
CR-Int-15-partialfrac-2-a.xml
CR-Int-15-partialfrac-2-b.xml
CR-Int-15-partialfrac-2-c.xml
CR-Int-15-partialfrac-3-a.xml
CR-Int-15-partialfrac-3-b.xml
CR-Int-15-partialfrac-3-c.xml
CR-Int-15-partialfrac-4-a.xml
CR-Int-15-partialfrac-4-b.xml
CR-Int-15-partialfrac-4-c.xml
CR-Int-15-partialfrac-5.xml
CR-Int-15-partialfrac-6.xml
CR-Int-15-partialfrac-7.xml
CR-Int-15-partialfrac-8.xml
CR-Int-15-partialfrac-9.xml
CR-Int-15-partialfrac-10.xml
CR_Int_16
CR-Int-16-trigonometric-1-b.xml
CR-Int-16-trigonometric-2.xml
CR-Int-16-trigonometric-3.xml
CR-Int-16-trigonometric-4-a.xml
CR-Int-16-trigonometric-5.xml
CR-Int-16-trigonometric-6.xml
CR_Int_17
CR-Int-17-misc-01.xml
CR-Int-17-misc-02.xml
CR-Int-17-misc-03.xml
CR-Int-17-misc-04.xml
CR-Int-17-misc-05.xml
CR-Int-17-misc-06.xml
CR-Int-17-misc-07.xml
CR-Int-17-misc-08.xml
CR-Int-17-misc-09.xml
CR-Int-17-misc-10.xml
CR-Int-17-misc-11.xml
CR-Int-17-misc-12.xml
CR-Int-17-misc-13.xml
CR-Int-17-misc-14.xml
CR-Int-17-misc-16.xml
Doc-Examples
Authoring-Docs
Information-item.xml
Presenting_strings.xml
Question-blocks
Adapt_button_block.xml
Adapt_delay_block.xml
Blocks.xml
Reveal_block_example.xml
Specialist-Tools-Docs
Drag-and-drop
Drag_and_drop-1-grouping.xml
Drag_and_drop-2-Grid.xml
Drag_and_drop-3-Grid_with_index.xml
Drag_and_drop-4-Using-images.xml
GeoGebra.xml
JSXgraphs
1_Basic_non_bound_example_of_a_graph.xml
2_Binding_what_does_it_mean.xml
3_Two-way_binding_what_does_that_mean.xml
4_JSON_and_complex_binding.xml
Author_quickstart_Line_parallel_to_graph.xml
JSXGraph_and_validation_TECH_DEMO.xml
stack_jxg.binding-demo-4.4.xml
ParsonsProof
Parsons-1-minimal.xml
Parsons-2-Interchangable-order.xml
Parsons-3-builder.xml
Parsons-4-DAG-Proof.xml
STACK-JS
Validation-state-listener.xml
equivalence_reasoning_example.xml
file_download.xml
Topics-Docs
D-L-distance.xml
Statistics.xml
Features
MCQ_example_Remainder-Theorem-T-F.xml
Parsons
Parsons-plot.xml
irrational-power-irrational_illustrates_re-use_of_strings.xml
log-two-three-irrational.xml
Scientific-units.xml
Topics_units_basic.xml
input-type-sample-questions
Algebraic_input.xml
Algebraic_input_align_to_the_right.xml
Algebraic_input_answer_box_sizes_test.xml
Algebraic_input_compact.xml
Algebraic_input_empty_answer_permitted.xml
Algebraic_input_with_simplification.xml
Checkbox.xml
Checkbox_Show_teachers_answer.xml
Checkbox_no_body_LaTeX.xml
Checkbox_plots_in_options.xml
Dropdown_shuffle.xml
Equiv_input_test_compact.xml
Equiv_input_test_let_comma_or_pm.xml
Matrix-multi.xml
Matrix.xml
Matrix_varmatrix.xml
Notes.xml
Numerical_input_min_sf.xml
Radio.xml
Radio_compact.xml
Single_char.xml
String_input.xml
Style_check-HELM.xml
Style_check-proof.xml
Textarea_test.xml
Textarea_test_compact.xml
TrueORfalse.xml
Units.xml
HELM
Course
30-1-Rounding-error-and-conditioning
HELM-30-1-E1-Rounding.xml
HELM-30-1-E2-Loss-of-precision.xml
HELM-30-1-E3-Loss-of-precision.xml
HELM-30-1-E4-Problem-Condition.xml
Info-Accurate-significant-figures.xml
30-2-Gaussian-Elimination
HELM-30-2-E1-Back-substitution.xml
HELM-30-2-E2-Gaussian-Elimination.xml
HELM-30-2-E3a-Gaussian-Elimination.xml
HELM-30-2-E3b-Gaussian-Elimination.xml
HELM-30-2-E3c-Gaussian-Elimination.xml
30-3-LU-Decomposition
HELM-30-3-E1a-LU-Decomposition-2x2.xml
HELM-30-3-E1b-LU-Decomposition-3x3.xml
HELM-30-3-E4-LU-Decomposition-with-permutation.xml
30-4-Matrix-Norms
HELM-30-4-E1a-Matrix-Norms-2x2.xml
HELM-30-4-E1b-Matrix-Norms-3x3.xml
HELM-30-4-E2a-Condition-number-2x2.xml
HELM-30-4-E2b-Condition-number-3x3.xml
HELM-30-4-E5-Improving-the-condition.xml
30-5-Iterative-methods-for-systems-of-equations
HELM-30-5-E1a-Jacobi-Iteration.xml
HELM-30-5-E1b-Gauss-Seidel-Iteration.xml
HELM-30-5-E2-Iteration-Matrix.xml
31-1-Polynomial-Approximations
HELM-31-1-E1-Lagrange-Interpolation.xml
HELM-31-1-E2-Lagrange-Interpolation-(using-a-subset).xml
HELM-31-1-E3-Linear-regression.xml
HELM-31-1-E4-Natural-Spline.xml
31-2-Numerical-Integration
HELM-31-2-E1-Composite-trapezium-rule.xml
HELM-31-2-E2-Composite-trapezium-rule,-intervals.xml
HELM-31-2-E3-Simpson-s-rule.xml
HELM-31-2-E4-Simpson-s-rule,-intervals.xml
HELM-31-2-E5-Simpson-s-rule,-intervals.xml
31-3-Numerical-Differentiation
HELM-31-3-E1-Approximate-Derivatives-of-Functions.xml
HELM-31-3-E2-Differentiation-of-Data-Sets.xml
31-4-Nonlinear-Equations
HELM-31-4-E1-Bisection-Method.xml
HELM-31-4-E2-Newton-Raphson.xml
HELM-31-4-E3-Newton-Raphson.xml
HELM-31-4-E4-Approximate-Newton-Raphson.xml
32-1-Initial-Value-Problems
HELM-32-1-E1-Euler-Method.xml
HELM-32-1-E2-Trapezium-Method-with-f(t).xml
HELM-32-1-E3-Trapezium-Method-with-f(t,y).xml
HELM-32-1-E4-Trapezium-Method,-Application.xml
32-2-Linear-Multistep-Methods
HELM-32-2-E1-Notation.xml
HELM-32-2-E2-Performing-a-time-step.xml
HELM-32-2-E3-Zero-Stability.xml
HELM-32-2-E4-Consistency.xml
HELM-32-2-E5-Performing-a-Runge-Kutta-Time-Step.xml
32-3-Predictor-Corrector-Methods
HELM-32-3-E1-Predictor-Corrector-Method.xml
32-4-Parabolic-PDEs
HELM-32-4-E1-Approximate-Partial-Derivatives.xml
HELM-32-4-E2-Explicit-Difference-Scheme.xml
HELM-32-4-E3-Crank-Nicolson-Scheme.xml
32-5-Hyperbolic-PDEs
HELM-32-5-E1-Wave-Equation,-Single-Time-Step.xml
HELM-32-5-E2-Wave-equation,-Two-first-timesteps.xml
33-1-Two-point-Boundary-Value-Problems
HELM-33-1-E1-BVP.xml
HELM-33-1-E2-BVP-System-of-Equations.xml
HELM-33-1-E3-BVP-System-of-Equations,-Natural-boundary-conditions.xml
33-2-Elliptic-PDEs
HELM-33-2-E1-Elliptic-PDE,-Jacobi-Iteration.xml
HELM-33-2-E2-Elliptic-PDE,-Gauss-Seidel-Iteration.xml
Course_quiz_1_1-mathematical-notation-and-symbols
1-1-1-1-Numbers,-operations-and-common-notations.xml
1-1-2-1-Calculation-with-Numbers.xml
1-1-2-2-Calculation-with-Numbers---modulus.xml
1-1-2-3-Calculation-with-Numbers---factorial.xml
1-1-2-T1-Reciprocal.xml
1-1-2-T2-Modulus.xml
1-1-2-T3-Factorial.xml
1-1-3-1-Rounding-to-n-Decimal-Places.xml
1-1-3-T1-Rounding-to-n-Decimal-Places.xml
1-1-4-1-Rounding-to-n-Significant-Figures.xml
1-1-4-2-BODMAS.xml
1-1-4-2-Multiplication-and-Division-with-Negative-Numbers.xml
1-1-4-3-BODMAS.xml
1-1-4-3-BODMAS_2.xml
1-1-4-4-Modulus-and-Factorials.xml
1-1-4-5-Addition-and-Subtraction-with-Negatives.xml
1-1-4-6-Reciprocals.xml
1-1-4-7-Plus-or-Minus-Sign.xml
1-1-4-8-Inequalities.xml
1-1-4-T1-Rounding-to-n-Significant-Figures.xml
1-1-4-T2-BODMAS.xml
1-1-4-T3-BODMAS.xml
1-1-4-T4-BODMAS.xml
1-1-5-1-Using-Symbols.xml
1-1-6-1-Combining-Numbers-Together.xml
1-1-6-1-Reciprocal.xml
1-1-6-2-Calculating-Change-with-Units.xml
1-1-6-2-Combining-Numbers-Together.xml
1-1-6-3-Simplifying-Multiplication.xml
1-1-6-4-Simplifying-Multiplication.xml
1-1-6-6-Maximum-and-Minimum-Values.xml
1-1-6-T1.xml
Course_quiz_1_2-indices
1-2-1-1-Introduction.xml
1-2-1-2-Evaluate-without-calc.xml
1-2-1-3-Evaluate-with-calc.xml
1-2-1-4-BODMAS.xml
1-2-1-5-Write-index-notation.xml
1-2-1-6-Evaluate-without-calc.xml
1-2-2-1-Laws-of-indices.xml
1-2-2-2-Write-single-index.xml
1-2-2-3-Laws-of-indices-cont.xml
1-2-2-4-Remove-brackets.xml
1-2-2-5-Simplify-indices.xml
1-2-2-6-Simplify-indices.xml
1-2-3-1-Polynomial-expressions.xml
1-2-3-2-Which-are-polynomials.xml
1-2-3-3-Linear-quadratic-constant.xml
1-2-3-4-Which-are-polynomials.xml
1-2-4-1-Negative-indices.xml
1-2-4-2-Simplify-indices.xml
1-2-4-3-Write-fractions-and-decimals.xml
1-2-4-4-Simplify-indices.xml
1-2-5-1-Fractional-indices.xml
1-2-5-2-Evaluate-with-calc.xml
1-2-5-3-Evaluate-with-calc.xml
1-2-5-4-Fractional-indices-continued.xml
1-2-5-5-Simplify-indices.xml
1-2-5-6-Simplify-indices.xml
1-2-6-1-Scientific-notation.xml
1-2-6-2-Give-scientific-notation.xml
1-2-6-3-Simplify.xml
Course_quiz_1_3-simplification-and-factorisation
1-3-1-1-Collecting-terms.xml
1-3-1-2-Collecting-terms.xml
1-3-1-3-Collecting-terms.xml
1-3-1-4-Collect-terms-with-brackets.xml
1-3-1-5-Collecting-terms-with-fractions.xml
1-3-1-a.xml
1-3-2-1.xml
1-3-2-2-Remove-Brackets.xml
1-3-2-3-Removing-Brackets.xml
1-3-3-1.xml
1-3-3-2-Removing-2-sets-of-brackets.xml
1-3-3-3-Removing-2-sets-of-brackets.xml
1-3-3-4-Removing-3-sets-of-brackets.xml
1-3-3-5.xml
1-3-4-1.xml
1-3-4-2-Numerical-factors.xml
1-3-4-3-Common-factors.xml
1-3-4-4-Common-factors.xml
1-3-4-5-Common-factors.xml
1-3-5-1-Factorising-quadratics-with-x^2.xml
1-3-5-2-Factorising-quadratics-with-a-x^2.xml
1-3-5-3-Factorising-quadratics-with-a-x^2.xml
1-3-5.xml
Course_quiz_1_4-arithmetic-of-algebraic-fractions
1-4-1-1-Cancelling-Common-Factors.xml
1-4-1-2-T1.xml
1-4-1-3-T2.xml
1-4-1-4-T3.xml
1-4-1-5-Cancelling-Common-Factors.xml
1-4-1-6-T4.xml
1-4-1-7-Cancelling-Common-Factors.xml
1-4-1-8-Cancelling-Common-Factors.xml
1-4-1-9-T5.xml
1-4-1-10-Simplifying-fractions.xml
1-4-1-11-Simplifying-fractions.xml
1-4-1-12-Simplifying-simple-algebraic-fractions.xml
1-4-1-13-Simplifying-simple-algebraic-fractions.xml
1-4-1-14-Simplifying-algebraic-fractions.xml
1-4-1-15-Simplifying-algebraic-fractions.xml
1-4-1-16-Simplifying-algebraic-fractions.xml
1-4-2-1-Multiplication-and-division-of-algebraic-fractions.xml
1-4-2-2-T6-multiply-expressions.xml
1-4-2-3-Mult-and-div-of-algebraic-fractions---examples.xml
1-4-2-4-T7.xml
1-4-2-5-Fraction-multiplication.xml
1-4-2-6-Fraction-division.xml
1-4-2-7-Write-as-one-fraction.xml
1-4-2-8-Divide-fractions-1.xml
1-4-2-9-Divide-fractions-2.xml
1-4-2-10-Divide-fractions-3.xml
1-4-3-1-Addition-and-subtraction-of-algebraic-fractions.xml
1-4-3-2-Add-fractions-1.xml
1-4-3-3-Add-fractions-2.xml
1-4-3-4-Add-fractions-3.xml
1-4-3-5-Add-fractions-4.xml
Course_quiz_1_5-formulae-and-transposition
1-5-1-1.xml
1-5-2-1-Substitution.xml
1-5-2-1.xml
1-5-2-2-Substitution.xml
1-5-2-2.xml
1-5-2-3-Substitution.xml
1-5-2-4-Substitution.xml
1-5-2-5-Substitution.xml
1-5-2-6-Substitution.xml
1-5-2-7-Converting-m-to-cm.xml
1-5-2-8-Converting-m^2-to-cm^2.xml
1-5-2-9-Converting-m^3-to-cm^3.xml
1-5-2-10-Substitution.xml
1-5-2-11-Substitution-with-Units.xml
1-5-2-12-Transposition.xml
1-5-2-13-Transposition.xml
1-5-2-14-Transposition.xml
1-5-2-15-Transposition.xml
1-5-2-16-Transposition.xml
1-5-2-17-Transposition.xml
1-5-2-18-Transposition.xml
1-5-2-19-Transposition-and-Substitution-with-Units.xml
Course_quiz_2_1-basic-concepts-of-functions
2-1-1-1-The-Function-Rule.xml
2-1-1-2-The-output-of-a-function.xml
2-1-1-3-Function-Notation.xml
2-1-2-1-The-argument-of-a-function.xml
2-1-2-2-Evaluate-value-of-function.xml
2-1-2-3-Evaluate-value-of-function-and-domain.xml
2-1-2-4-Evaluate-value-of-function-2.xml
2-1-3-1-Composition-of-Functions.xml
2-1-3-1a--Domain-of-a-function.xml
2-1-3-2-Composite-function-1.xml
2-1-3-3-Composite-function-2.xml
2-1-3-4-Composite-function-3.xml
2-1-3-5-Composite-function-4.xml
2-1-3-6-Composite-function-5.xml
Course_quiz_2_2-graphs-of-functions-and-parametric-form
2-2-1-1The-Graph-of-a-Function.xml
2-2-1-2-Table-of-Values-and-Graph-of-function.xml
2-2-1-3-Dependent-and-Independent-Variables.xml
2-2-1-4-The-Domain-and-Range-of-a-Function.xml
2-2-1-5-Domain,-Range-and-Graph-of-function.xml
2-2-1-6-Domain,-Range-and-Graph-of-function-2-(NOT-IN-QUIZ).xml
2-2-1-7-Domain,-Range-and-Graph-of-function-3.xml
2-2-2-1-Parametric-Representation-of-a-Function.xml
2-2-2-2-Parametric-Functions.xml
2-2-2-3-Parametric-Functions-2.xml
2-2-2-4-Parametric-Functions-3.xml
Course_quiz_2_3-one-to-one-and-inverse-functions
2-3-1-1a-One-to-many-rules.xml
2-3-1-1b-Many-to-one-and-one-to-one.xml
2-3-1-2-Task-Function-identification.xml
2-3-2-1-Inverse-of-a-function.xml
2-3-2-2-Task-Function-inversion.xml
2-3-3-1-One-to-many-not-a-function-.xml
2-3-3-2-Demonstrate-x^4-many-to-one.xml
2-3-3-3-Demonstrate-one-to-one-.xml
2-3-3-4-Explain-non-invertible-many-to-one-.xml
2-3-3-5-Invert-functions.xml
5-3-3-3-spot-invertible-function.xml
Course_quiz_2_4-characterising-functions
2-4-1-1-Continuous-and-discontinuous-functions-and-limits.xml
2-4-1-2-Task-Sketch-discontinuities.xml
2-4-1-3-Continuous-and-discontinuous-functions-and-limits-(cont-).xml
2-4-2-1-Continuous-vs-discontinuous-discussion.xml
2-4-2-2-Quadratic-continuity.xml
2-4-2-3-Linear-continuity.xml
2-4-2-4-Piecewise-continuity.xml
2-4-2-5-Limits-of-piecewise-function.xml
2-4-3-1-Periodic-functions.xml
2-4-4-1-Explain-periodic.xml
2-4-4-2-Sketch-continuous-periodic.xml
2-4-4-3-Sketch-discontinuous-periodic.xml
2-4-4-4-Frequency-from-period.xml
2-4-5-1-Odd-and-even-functions.xml
2-4-5-2-Task-Complete-sketch-(even).xml
2-4-5-3-1-Task-Comment-on-symmetries.xml
2-4-5-3-2-Task-Comment-on-symmetries.xml
2-4-5-3-Task-Comment-on-symmetries.xml
2-4-5-4-Odd-and-even-functions-(cont).xml
2-4-5-5-Task-Complete-sketch-(odd).xml
2-4-5-6-Odd-and-even-functions-(cont).xml
2-4-6-1-Classify-odd-even-or-neither.xml
2-4-6-2-Originally-5-3-3-spot-odd-function.xml
2-4-6-3-Originally-5-3-3-spot-even-function-(NOT-IN-QUIZ).xml
2-4-6-4-Originally-5-3-3-Odd-and-even-CAP-W1-Q10-(used)-edited.xml
2-4-6-5-Characteristics-of-cosh(x).xml
Course_quiz_2_5-the-straight-line
2-5-1-1-Linear-functions.xml
2-5-1-2-Linear-functions.xml
2-5-1-3-The-linear-function-task-1.xml
2-5-1-3-The-linear-function-task-2,-vertical-intercept-.xml
2-5-1-4-The-linear-function-the-gradient-of-the-line.xml
2-5-1-5-The-linear-function-task-1.xml
2-5-1-6-Gradient-of-lines-task.xml
2-5-1-7-Exercises-on-the-properties-of-straight-lines.xml
2-5-1-7-Exercises-on-the-properties-of-straight-lines_2.xml
2-5-1-8-Charateristics-and-properties-of-straight-lines-exercises-with-solution.xml
2-5-1-8-Classify-as-line-or-other.xml
2-5-1-9-identify-gradient-and-y-intercept.xml
2-5-1-10-Function-with-the-steepest-gradient.xml
2-5-2-1-The-gradient-of-a-straight-line-through-two-points.xml
2-5-2-2-Line-through-two-points-task.xml
2-5-2-3-Gradient-(two-cases)-(NOT-IN-QUIZ).xml
2-5-3-1-The-equation-of-a-straight-line-through-two-points.xml
2-5-3-3-The-equation-of-a-straight-line-through-two-points-and-second-task.xml
2-5-3-4-The-distance-between-two-points.xml
2-5-3-5-The-distance-between-two-points-and-task1.xml
2-5-3-6-The-distance-between-two-points-and-task2-(NOT-IN-QUIZ).xml
Course_quiz_2_6-the-circle
2-6-1-1-Equations-for-circles-in-the-Oxy-plane.xml
2-6-1-2-Circles-with-centre-at-the-origin.xml
2-6-1-3-Task-write-eq-of-circle.xml
2-6-1-4-Distance-between-2-points.xml
2-6-1-5-Example-distance-between-any-2-points.xml
2-6-1-6-Find-eq-of-circles.xml
2-6-1-7-Write-eq-of-cirlce.xml
2-6-1-8-Expanded-equation-of-the-circle.xml
2-6-1-9-Find-centre-and-radious.xml
2-6-1-10-Circles-and-functions.xml
2-6-2-1-Annuli-between-circles.xml
2-6-3-1-Find-centre-and-radious.xml
2-6-3-2-Find-eq-of-circles.xml
2-6-3-3-Find-centre-and-radious.xml
2-6-3-4-Describe-regions.xml
2-6-3-5-State-inequality-outside-circle.xml
2-6-3-6-State-inequality-inside-circle.xml
2-6-3-7-State-circle-eq.xml
2-6-3-8-State-eq-of-circle---advanced.xml
Course_quiz_2_7-some-common-functions
2-7-1-1-Polynomial-functions.xml
2-7-1-1.xml
2-7-1-2-Some-polynomials-analyse-the-functions.xml
2-7-1-3-Polynomial-degree-or-not-poly.xml
2-7-1-4-Polynomial-or-not-(NOT-IN-QUIZ).xml
2-7-1-5-Remove-which-term-to-make-polynomial.xml
2-7-1-6-Polynomial-state-degree-(NOT-IN-QUIZ).xml
2-7-1-7-is-p(z)-constant-with-variable-z.xml
2-7-1-8-Polynomial-1-1-or-1-many.xml
2-7-2-1-Rational-functions.xml
2-7-2-2-Study-the-graph-of-a-rational-function.xml
2-7-2-3-Vertical-asymptotes.xml
2-7-2-4-Study-the-graph-of-a-rational-function-2.xml
2-7-2-5-Sketching-rational-functions.xml
2-7-2-6-The-poles-of-rational-functions.xml
2-7-2-7-Exercises-on-rational-functions-task1-(NOT-IN-QUIZ).xml
2-7-2-8-Deg-of-numerator-and-denominator.xml
2-7-2-9-What-is-a-pole.xml
2-7-2-10-1-1-or-many-1.xml
2-7-2-11-odd-even-cts-discts.xml
2-7-3-1-The-modulus-function.xml
2-7-3-2-find-the-value-of-the-function-(modulus-function).xml
2-7-3-3-Exercise-select-the-graph-associated-to-each-function.xml
2-7-3-4-Exercise.xml
2-7-4-1-The-unit-step-function.xml
2-7-4-2-Step-function-exercise.xml
Course_quiz_3_1-solving-linear-equations
3-1-1-1-Introduction.xml
3-1-1-2-T1-Which-equations-are-linear.xml
3-1-1-3-Introduction---continued.xml
3-1-1-4-Write-a-linear-equation.xml
3-1-2-1-Solving-a-linear-equation.xml
3-1-2-2-Solve-a-linear-equation_1.xml
3-1-2-3-Solve-a-linear-equation_2.xml
3-1-2-4-Solve-a-linear-equation_3.xml
3-1-2-5-Solving-a-linear-equation-cont-(2).xml
3-1-2-6-Solve-a-linear-equation_4.xml
3-1-2-7-Solve-a-linear-equation_5.xml
3-1-2-8-Solve-a-linear-equation_6.xml
3-1-2-9-Solve-a-linear-equation_7.xml
3-1-2-10-Solve-a-linear-equation_8.xml
3-1-2-11-Solve-a-linear-equation_9.xml
3-1-2-12-Solving-a-linear-equation-cont-(3).xml
3-1-2-13-Solve-general-linear.xml
3-1-2-14-Solve-a-linear-equation_10.xml
Course_quiz_3_2-solving-quadratic-equations
3-2-1-1-Quadratic-Equations.xml
3-2-2-1-Solution-by-Factorisation.xml
3-2-2-2-Solve-the-quadratic-equation-(integer-roots).xml
3-2-2-3-Solve-the-quadratic-equation-(rationals).xml
3-2-3-1-Completing-the-Square.xml
3-2-3-2-Completing-the-square-exercises.xml
3-2-3-3-Completing-the-square-exercises-2.xml
3-2-3-4-Completing-the-square-in-practice.xml
3-2-4-1-Solution-by-Formula.xml
3-2-4-2-Possible-modification-Using-the-Quadratic-Formula-(copy).xml
3-2-4-2-Using-the-Quadratic-Formula.xml
3-2-4-3-Engineering-Example-1.xml
3-2-4-4-Engineering-Example-2.xml
3-2-5-1-Geometrical-representation-of-quadratics.xml
3-2-5-2-Solve-the-quadratic-equation-(integer-roots)-(copy-for-end).xml
3-2-5-3-Solve-the-quadratic-equation-(rationals)-(copy-for-end).xml
3-2-5-4-Using-the-Quadratic-Formula-(copy-for-end).xml
3-2-5-4-Using-the-Quadratic-Formula.xml
Course_quiz_3_3-solving-polynomial-equations
3-3-1-1-Multiplying-polynomials-together.xml
3-3-1-2-Task-Degree-of-quadratic-[NOT-IN-QUIZ].xml
3-3-1-3-Task-Degree-of-coefficient-of-linear.xml
3-3-1-4-Task-Coefficient-of-linear-[NOT-IN-QUIZ].xml
3-3-1-5-Task-Degree-of-product-of-quadratics.xml
3-3-2-1-Factorising-polynomials-and-equating-coefficients.xml
3-3-3-1-Factorise-cubic-I.xml
3-3-3-2-Factorise-cubic-II-[NOT-IN-QUIZ].xml
3-3-3-3-Factorise-cubic-III-[NOT-IN-QUIZ].xml
3-3-3-4-Factorise-cubic-IV-(NOT-IN-QUIZ).xml
3-3-4-1-Polynomial-equations.xml
3-3-5-1-Verifying-points.xml
3-3-5-2-Verify-roots-of-a-quadratic.xml
3-3-5-3-Verify-roots-of-a-cubic-(NOT-IN-QUIZ).xml
3-3-6-1-Solving-polynomial-equations-when-one-solution-is-known.xml
3-3-6-2A-Factor-determination-from-root.xml
3-3-6-2B-Solve-cubic-given-a-root.xml
3-3-7-1-Solve-cubic-given-a-root-I.xml
3-3-7-2-Solve-cubic-given-a-root-II-[NOT-IN-QUIZ].xml
3-3-7-3-Solve-cubic-given-a-root-III-(NOT-IN-QUIZ).xml
3-3-8-1-Solving-polynomial-equations-graphically.xml
3-3-9-1-Factorise-cubic-given-factor-I-[NOT-IN-QUIZ].xml
3-3-9-2-Factorise-cubic-given-factor-II-[NOT-IN-QUIZ].xml
3-3-9-3-Factorise-cubic-given-factor-with-repeated-root.xml
3-3-9-4-Factorise-quartic-with-repeated-roots-x=+-a.xml
3-3-9-5-Factorise-quartic-given-factor-with-repeating-root.xml
3-3-9-6-Factorise-quartic-given-two-factors-same-modulus-(NOT-IN-QUIZ).xml
3-3-9-7-Show-a-root-lies-between-two-points-I-.xml
3-3-9-8-Show-a-root-lies-between-two-points-II-.xml
Course_quiz_3_4-solving-simultaneus-linear-equations
3-4-1-1-Introduction-Simultaneous-Equations.xml
3-4-1-2-Introduction-elimination.xml
3-4-1-3-Introduction-no-solution.xml
3-4-1-4-Introduction-infinite-solutions.xml
3-4-1-5-Solve-simultaneous.xml
3-4-1-6-Write-and-solve-simultaneous.xml
3-4-1-7-Solve-signal-simultaneous.xml
3-4-1-8-Graphical-solutions-simultaneous.xml
3-4-1-9-Use-a-graph-to-solve-simultaneous.xml
3-4-1-10-Use-a-graph-to-solve-simultaneous.xml
3-4-1-11-Use-a-graph-to-solve-simultaneous.xml
NOT_IN_QUIZ-Use-a-graph-to-solve-simultaneous.xml
Course_quiz_3_5-solving-inequalities
3-5-1-1-The-Inequality-Symbols.xml
3-5-1-2-Task_Multiplying-both-sides-of-an-inequality.xml
3-5-1-3-afterTask1_(pg53).xml
3-5-1-4-Exercise_True-or-false-inequalities.xml
3-5-1-4-True_False-(copy).xml
3-5-1-5-Rewriting-inequalities-without-the-modulus-sign.xml
3-5-2-1-Solving-Linear-Inequalities-Algebraically.xml
3-5-2-2_Task_Solve-Inequality.xml
3-5-2-3-Example_37-(5).xml
3-5-2-4_Task_Solving-an-inequality-with-mod-step-by-step-(NOT-IN-QUIZ).xml
3-5-2-5-Simple-inequalities-with-var-(pruned).xml
3-5-2-5-Simple-inequalities-with-var.xml
3-5-2-6-Inequalities-with-var-(pruned).xml
3-5-2-6-Inequalities-with-var.xml
3-5-2-7-Inequalities-with-mod-(pruned)-(NOT-IN-QUIZ).xml
3-5-2-7-Inequalities-with-mod.xml
3-5-3-1-Solving-inequalities-using-graphs.xml
3-5-3-2_Task_Negative-part-of-a-quadratic-function.xml
3-5-3-3-Example_40-(8).xml
3-5-3-4-Linear-and-quadratic-inequalities-(NOT-IN-QUIZ).xml
3-5-3-4-Linear-and-quadratic-inequalities-(pruned).xml
Course_quiz_3_6-partial-fractions
3-6-1-1-Proper-and-improper-fractions.xml
3-6-1-2-Last-Paragraph.xml
3-6-1-2_Task_State-the-degree-of-the-numerator-and-denominator.xml
3-6-2-1-Proper-Fractions-with-Linear-Factors.xml
3-6-2-2_Task_Express-in-partial-fractions.xml
3-6-2-3_Find-the-partial-fractions-(NOT-IN-QUIZ).xml
3-6-2-3_Find-the-partial-fractions-(short).xml
3-6-2-4_Example_Express-a-fraction-in-terms-of-partial-fractions.xml
3-6-3-1-Proper-fractions-with-repeated-linear-factors.xml
3-6-3-2-Task_express-in-partial-fractions.xml
3-6-3-3-Exercises_Express-in-partial-fractions-(NOT-IN-QUIZ).xml
3-6-3-3-Exercises_Express-in-partial-fractions-(short).xml
3-6-4-1-Proper-fractions-with-quadratic-factors.xml
3-6-4-2-Ireducible-quadratic-Task_Express-partial-fractions-(copy).xml
3-6-4-3-Express-each-fraction-as-sum-of-partial-fractions-(NOT-IN-QUIZ).xml
3-6-4-4_Example_Express-as-partial-fraction.xml
3-6-4-5-Engineering-Example.xml
3-6-5-1-Improper-fractions.xml
3-6-5-2-Improper-Fractions.xml
Course_quiz_4_1-right---angled-triangles
4-1-1-1-Right-angled-triangles.xml
4-1-1-2-Engineering-Example-1.xml
4-1-1-3-Engineering-Example-2.xml
4-1-1-4-Task-sin,cos,tan-30-and-60.xml
4-1-1-5.xml
4-1-1-6-Task-sin,-cos,-tan-using-calculator.xml
4-1-1-7-Inverse-trigonometric-functions-(a-first-look).xml
4-1-1-8-Task---find-inverse-trig-numb.xml
4-1-2-1-Solving-right-angled-triangles.xml
4-1-2-2-Engineering-Example-3.xml
4-1-2-3-Example.xml
4-1-2-4-Find-sides-and-angles-triangle.xml
4-1-2-5-Find-sides-and-angles-triangle.xml
4-1-3-1-find-cosec,-sec,-cot.xml
4-1-3-2-Find-sin,-cos,-tan,-cosec.xml
4-1-3-3-Find-cos,-tan-for-given-sin.xml
4-1-3-4-Find-angle-given-trig-values.xml
4-1-3-5-Find-sides-and-angles-triangle.xml
4-1-3-6-FAULTY-IMAGE-angle-of-elevation.xml
4-1-3-7-Find-distance.xml
Course_quiz_4_2-trigonometric-functions
4-2-1-1-Radians.xml
4-2-1-2-degrees-to-radians.xml
4-2-1-3-radians-to-degrees.xml
4-2-1-4-Sine-using-calculator.xml
4-2-2-1-General-definitions-of-trigonometric-functions.xml
4-2-2-2-First-and-second-quadrant.xml
4-2-2-3-Trig-without-calculator.xml
4-2-2-4-Third-quadrant.xml
4-2-2-5-Third-quadrant-without-calculator.xml
4-2-2-6-Third-quadrant-(continued).xml
4-2-2-7-Fourth-quadrant.xml
4-2-2-8-Fourth-quadrant-trigs.xml
4-2-2-9-Beyond-the-fourth-quadrant.xml
4-2-3-1-Graphs-of-trigonometric-functions.xml
4-2-3-2-Values-of-tan.xml
4-2-3-3-Tan-undefined.xml
4-2-3-4-Positivity-of-tan.xml
4-2-3-5-Graph-of-tan.xml
4-2-3-6-Positivity-in-quadrants.xml
4-2-4-1-Optical-interference-fringes-due-to-a-glass-plate.xml
4-2-4-1-degrees-to-radians-again-(NOT-IN-QUIZ).xml
4-2-4-2-radians-to-degrees-again-(NOT-IN-QUIZ).xml
4-2-4-6-Area-of-sector-(NOT-IN-Quiz,-confusing).xml
4-2-5-1-find-all-6-trigonometric-functions.xml
4-2-5-2-Invert-trig-functions.xml
4-2-5-3-Quadratic-with-sin.xml
4-2-5-4-Wave-graphs-matching.xml
Course_quiz_4_3-trigonometric-identities
(Unused)-cos(4x).xml
(Unused)-cos^4---sin^4.xml
(Unused)-fraction-of-sum-of-sines-and-sum-of-cosines.xml
(Unused)-inverse-of-tan-plus-cot.xml
(Unused)-product-of-1-plus-sine.xml
(Unused)-product-of-cosines-as-sum-of-cosines.xml
(Unused)-ratio-of-tan-and-sec.xml
4-3-1-1-Introduction.xml
4-3-1-2-Explore-Pythagoras.xml
4-3-1-3-Pythagoras.xml
4-3-1-4-Identities-for-sec,-csc,-cot.xml
4-3-1-5-Sum-of-angles-formula.xml
4-3-1-6-tan-of-difference-of-angles.xml
4-3-1-7-Summary-of-trig-identities.xml
4-3-2-1-Engineering-example.xml
4-3-3-1-Sine-is-shifted-cosine.xml
4-3-3-2-Double-angle-formula.xml
4-3-3-3-cos-of-double-angle.xml
4-3-3-4-cos-squared-in-terms-of-double-angle.xml
4-3-3-5-tan-of-double-angle.xml
4-3-3-6-Half-angle-formula.xml
4-3-3-7-Sum-of-sines-and-cosines.xml
4-3-3-8-sum-of-cosines.xml
4-3-3-9-Summary.xml
4-3-4-1-Projectile.xml
4-3-5-1-sin-times-sec.xml
4-3-5-2-sum-of-squares-of-sines.xml
4-3-5-3-product-of-sines-as-sum-of-sines-(NOT-IN-QUIZ).xml
4-3-5-4-multi-angle-formula.xml
4-3-5-5-ratio-of-sum-of-cosines-and-sines-(NOT-IN-QUIZ).xml
4-3-5-6-Isosceles-triangle.xml
Course_quiz_4_4-applications-of-trigonometry-to-triangles
4-4-1-1-Applications-of-trigonometry-to-triangles.xml
4-4-1-2-Task,-find-side-using-sine-rule.xml
4-4-1-3-The-ambiguous-case.xml
4-4-1-4-The-Cosine-rule.xml
4-4-1-5-Find-angles-of-triangle.xml
4-4-2-1-Find-sides-and-angles-triangle.xml
4-4-2-2-Find-sides-and-angles-triangle.xml
4-4-2-3-Find-angles-of-triangle.xml
4-4-2-4-Seperation-of-ships.xml
4-4-2-5-Rotating-mechanism.xml
Course_quiz_4_5-applications-of-trigonometry-to-waves
4-5-1-1-Applications-of-trigonometry-to-waves.xml
4-5-1-1-Intro.xml
4-5-1-2-Find-the-values.xml
4-5-1-3-Continuation.xml
4-5-1-4-Sketch-a-graph.xml
4-5-1-5-Find-a-period-and-frequency.xml
4-5-1-10-Sketch-a-graph.xml
4-5-2-1-Time-shifts-between-waves.xml
4-5-2-2-Calculate-the-time-shift.xml
4-5-3-1-Key.xml
4-5-3-2-C-as-A-and-B.xml
4-5-3-3-Obtain-alpha-(NOT-IN-QUIZ).xml
4-5-3-4-Key-point2.xml
4-5-3-5-Wave-form.xml
4-5-4-1-Exercise-1-Amp-and-Phase.xml
4-5-4-2-Exercise-2-Amp-Freq-Time-shift.xml
4-5-4-3-Exercise-3-Max-current-(NOT-IN-QUIZ).xml
4-5-4-4-Exercise-4-Water-depth.xml
4-5-4-5-Exercise-5-Temp.xml
4-5-4-6-Exercise-6-(NOT-IN-QUIZ,-as).xml
4-5-4-7-Exercise-7-current-(NOT-IN-QUIZ).xml
4-5-4-8-Exercise-8-(Amp-Phase-x2)-(NOT-IN-QUIZ).xml
4-5-4-9-Exercise-Weight-on-spring-(NOT-IN-QUIZ).xml
4-5-4-10-Exercise-10-Sum-of-currents.xml
Course_quiz_5-1-the-modelling-cycle-and-functions
5-1-1-1-Functions-and-Modelling.xml
5-1-1-2-Constant-functions.xml
5-1-1-3-Linear-functions.xml
5-1-1-4-Task-functions-and-modelling.xml
5-1-1-5-Falling-rocks---initial-velocity.xml
5-1-1-6.xml
5-1-1-6_2.xml
5-1-1-8.xml
5-1-1-9.xml
5-1-1-10-DELETE-Task.xml
5-1-1-10-Task.xml
5-1-1-11-Examples.xml
5-1-1-15.xml
5-1-1-16-Methods-for-calculating-gradient.xml
5-1-1-x-Methods-for-calc-gradient--contintue.xml
Course_quiz_5_2-quadratic-functions-and-modelling
5-2-1-1-Quadratic-functions.xml
5-2-1-2-Quadratic-Functions-Task.xml
5-2-2-1-Modelling-with-parabolas.xml
5-2-2-2-Modelling-with-parabolas.xml
5-2-2-3-Modelling-with-parabolas.xml
5-2-2-3-Modelling-with-parabolas_2.xml
5-2-2-4-Modelling-with-parabolas.xml
5-2-2-5-Modelling-with-parabolas.xml
5-2-2-6-Modelling-with-parabolas.xml
5-2-3-1-Parabolas-and-optimisation.xml
5-2-4-1-Finding-the-equation-of-a-parabola.xml
5-2-4-2-Finding-the-equation-of-a-parabola.xml
5-2-4-3-Volume-of-a-carton.xml
Course_quiz_5_3-oscillating-functions-and-modelling
5-3-1-1-Oscillating-functions-amplitude,-period-and-frequency.xml
5-3-1-2-Amplitude,-frequency-and-period.xml
5-3-2-1-Oscillating-functions-modelling-tides.xml
5-3-2-2-Amplitude,-period-and-frequency.xml
5-3-2-3-Oscillating-functions-modelling-tides.xml
5-3-2-4-Tide-times.xml
5-3-2-5-Amplitude,-period-and-frequency.xml
5-3-2-6-Water-level.xml
5-3-2-7-Example.xml
Course_quiz_5_4-inverse-square-law-modelling
5-4-1-1-Engineering-Case-Study---Sound-Intensity.xml
5-4-1-1-Introduction.xml
Course_quiz_6_1-the-exponential-function
6-1-1-1-Exponents-revisited.xml
6-1-1-2-Simplify-the-expression-1.xml
6-1-1-3-Simplify-the-expression-2.xml
6-1-1-4-when-x-is-any-real-number.xml
6-1-1-5-Find-the-value-of-the-expression-(NOT-IN-QUIZ).xml
6-1-2-1-Exponential-functions.xml
6-1-2-2-Find-values-with-a-calculator.xml
6-1-2-3-Simplify-and-determine-the-value-of-the-expression.xml
6-1-3-1-Exponential-growth.xml
6-1-3-2-Exponential-growth-of-a-fuction.xml
6-1-4-1-Exponential-decay.xml
6-1-4-1-Exponential-decay_2.xml
6-1-4-2-Choose-and-calculate.xml
6-1-5-1-Exercises-(NOT-IN-QUIZ).xml
6-1-5-2-Exercises.xml
Course_quiz_6_2-the-hyperbolic-functions
6-2-1-1-Even-and-odd-functions.xml
6-2-1-2-Separate-odd-and-even-parts.xml
6-2-1-3-Hyperbolic-functions.xml
6-2-2-1-Hyperbolic-Identities.xml
6-2-2-2-cosh^2-sinh^2.xml
6-2-2-3-Key-point.xml
6-2-2-3-cosh(x+y).xml
6-2-2-4-Compute-cosh(x+y)-knowing-sinhx,-sinhy.xml
6-2-2-5-(not-in-quiz)-sinh(x+y).xml
6-2-2-6-(not-in-quiz)-Compute-sinh(x+y)-knowing-sinhx,-sinhy.xml
6-2-2-7-Common-hyperbolic-identities.xml
6-2-2-8-(not-in-quiz)-sinh(2x),-cosh(2x).xml
6-2-3-1-Related-hyperbolic-functions.xml
6-2-3-2-tanh^2.xml
6-2-3-3-Compute-sech-given-tanh.xml
6-2-4-1-(not-in-quiz)-Express-sinh,-cosh-in-terms-of-exp-(exercise-1(a)).xml
6-2-4-2-Express-sinh,-cosh-in-terms-of-exp-(exercise-1(b)).xml
6-2-4-3-Express-exp-in-terms-of-sinh,-cosh-(exercise-2(a)).xml
6-2-4-4-Express-exp-in-terms-of-coth-(exercise-2(b)).xml
6-2-4-5-(not-in-quiz)-Express-exp-in-terms-of-sinh,-cosh-(exercise-2(c)).xml
6-2-4-6-Calculate-tanh,-cosech,-sech-(exercise-3)-(NOT-IN-QUIZ).xml
Course_quiz_6_3-logarithms
6-3-1-1-Logarithms.xml
6-3-1-2-Find-log_a(a^n).xml
6-3-1-3-Log-of-a-product.xml
6-3-1-4-Laws-of-logarithms.xml
6-3-2-1-Simplifying-expressions-involving-logarithms.xml
6-3-2-2-Simplify-sums-of-logs.xml
6-3-3-1-Logs-to-base-10-and-natural-logs.xml
6-3-3-2-Compute-logs-base-10.xml
6-3-3-3-Compute-logs-base-e.xml
6-3-4-1-Changing-base-in-logarithms.xml
6-3-4-2-Computing-logs-arbitrary-base.xml
6-3-4-3-Inverse-of-taking-logs.xml
6-3-5-1-Compute-logs-exercise-1(a).xml
6-3-5-2-(not-in-quiz)-Compute-logs-exercise-1(b)(c).xml
6-3-5-3-(not-in-quiz)-Simplify-exercise-2(a).xml
6-3-5-4-Simplify-exercise-2(b).xml
6-3-5-5-Simplify-exercise-2(c).xml
6-3-5-6-Simplify-exercise-2(d).xml
Course_quiz_6_4-the-logarithmic-function
6-4-1-1-Introduction.xml
6-4-2-1-Solving-equations-involving-logarithms-and-exponentials.xml
6-4-2-2-Solve-e^ax=b.xml
6-4-2-3-Solve-e^ax=be^x.xml
6-4-2-4-Solving-quadratics-involving-exponentials.xml
6-4-2-5-Solve-ae^{2x}-−-be^x-+-c-=-0.xml
6-4-2-6-Logs-and-Temperature.xml
6-4-3-1-Engineering-Example-1.xml
6-4-3-2-Chemical-Reaction-1.xml
6-4-3-3-Chemical-Reaction-2.xml
6-4-4-1-Solving-equations-involving-hyperbolic-functions.xml
6-4-4-2-tanhx-=-b.xml
6-4-4-3-Logs-in-different-bases.xml
6-4-4-4-Exercises.xml
6-4-4-5-Exercises-b).xml
Course_quiz_7_1-introduction-to-matrices
7-1-1-1-Applications-of-Matrices.xml
7-1-2-1-Definitions.xml
7-1-2-2-Classifying-matrices.xml
7-1-2-3-Classify-the-following-matrices.xml
7-1-2-4-Equality-of-Matrices.xml
7-1-2-5-Symmetric-Matrices.xml
7-1-3-1-Addition-and-Subtraction-of-Matrices.xml
7-1-4-1-Multiplication-of-a-matrix-by-a-number.xml
7-1-4-2-Addition-and-Subtraction-of-Matrices.xml
7-1-5-1-Some-simple-matrix-properties.xml
7-1-5-2-Distributivity-of-Matrices.xml
7-1-5-3-Exercises.xml
7-1-5-4-Exercises-b.xml
Course_quiz_7_2-matrix-multiplication
7-2-1-1-Multiplying-row-matrices-and-column-matrices-together.xml
7-2-2-1-Multiplying-two-2x2-matrices.xml
7-2-2-2-Task-Find-the-product-AB.xml
7-2-3-1-Some-surprising-results,-and-Task-1.xml
7-2-3-2-Between-Task1-and-Task2.xml
7-2-3-3-Task2-Multiplying-by-zero.xml
7-2-3-4-Introducing-the-zero-matrix.xml
7-2-3-5-Task3-AB=0.xml
7-2-3-6-Task4-Multiplying-by-identity-matrix.xml
7-2-3-7-Introducing-the-identity-matrix.xml
7-2-4-1-Multiplying-two-3x3-matrices.xml
7-2-4-2-Task-Find-the-product-AB.xml
7-2-4-3-3x3-identity-and-zero-matrix.xml
7-2-5-1-Multiplying-non-square-matrices-together.xml
7-2-5-2-Non-square-multiplication-example.xml
7-2-5-3-Task-Obtain-the-product-AB.xml
7-2-6-1-The-rules-of-matrix-manipulation.xml
7-2-6-2-Task-Which-of-the-matrix-products-are-defined.xml
7-2-6-3-Algebra-of-matrices.xml
7-2-6-4-Application-of-matrices-to-networks-Example.xml
7-2-6-5-Communication-network-example.xml
7-2-7-1-Exercise-1-(long)-NOT-IN-QUIZ.xml
7-2-7-1-Mult-2x2-(NOT-IN-QUIZ).xml
7-2-7-2-Exercise-2.xml
7-2-7-3-Exercise-3.xml
7-2-7-4-Exercise-4.xml
7-2-7-5-Exercise-5.xml
7-2-7-6-Exercise-6.xml
Course_quiz_7_3-determinants
7-3-1-1-Determinant-of-a-2x2-matrix.xml
7-3-1-2-Task-compute-these-2x2-determinants-(copy).xml
7-3-1-2-Task-compute-these-2x2-determinants.xml
7-3-2-1-Laplace-expansion-along-the-top-row,-minors.xml
7-3-2-2-Compute-a-2x2-minor.xml
7-3-2-3-Introducing-cofactors.xml
7-3-2-4-Compute-a-cofactor.xml
7-3-2-5-Evaluating-general-determinants.xml
7-3-2-6-Compute-a-3x3-determinant.xml
7-3-2-6-Evaluating-general-determinants-Key-Point.xml
7-3-2-7-Evaluating-general-determinants-example.xml
7-3-3-1-Properties-of-determinants-1.xml
7-3-3-2-Evaluate-a-4x4-determinant.xml
7-3-4-1-Exercise-1.xml
7-3-4-2-Exercise-2-(NOT-IN-QUIZ).xml
7-3-4-3-Exercise-3.xml
7-3-4-4-Exercise-4.xml
Course_quiz_7_4-the-inverse-of-a-matrix
7-4-1-1-The-inverse-of-a-square-matrix.xml
7-4-1-2-Inverse-of-a-matrix.xml
7-4-1-3-The-inverse-of-a-square-matrix.xml
7-4-1-The-inverse-of-a-square-matrix-(copy).xml
7-4-2-1-Inverse-of-a-2-x-2-matrix.xml
7-4-2-2-Key-point-─-The-inverse-of-a-2-x-2-matrix.xml
7-4-2-2-The-inverse-of-a-2-x-2-matrix.xml
7-4-2-3-Which-2-x-2-matrix-has-an-inverse-.xml
7-4-2-4-Inverse-of-a-2-x-2-matrix.xml
7-4-2-5-Inverse-of-2-x-2-rotation-matrix.xml
7-4-3-1-The-inverse-of-a-3x3-matrix---Gauss-elimination-method.xml
7-4-3-2-Inverse-of-3-x-3-matrix-─-Gauss-elimination-method.xml
7-4-4-1-The-inverse-of-a-3x3-matrix-─-determinant-method.xml
7-4-4-2-Inverse-of-a-3-x-3-matrix-─-determinant-method.xml
7-4-5-1-Exercise-Inverse-of-a-2-x-2-matrix-(NOT-IN-QUIZ).xml
7-4-5-2-(not-in-quiz)-Gauss-elimination-method-─-inverse-of-3-x-3-matrix.xml
7-4-5-3-(not-in-quiz)-Determinant-method-─-Inverse-of-a-3-x-3-matrix.xml
Course_quiz_8_1-solution-by-cramer-s-rule
8-1-1-1-Solving-two-equations-in-two-unknowns.xml
8-1-1-2-Key-point-1.xml
8-1-1-3-Solving-two-equations-in-two-unknowns.xml
8-1-1-4-Exercise-Cramer-s-rule-for-solving-simultaneous-equations.xml
8-1-1-5-Exercise-Cramer-s-rule-for-solving-simultaneous-equations.xml
8-1-1-6-Notation.xml
8-1-2-1-Solving-three-equations-in-three-unknowns.xml
8-1-2-2-Applying-Cramer-s-rule-to-system-with-three-equations-and-three-unknowns.xml
8-1-2-3-Solving-three-equations-in-three-unknowns.xml
8-1-3-1-Engineering-Example-1-─-Stresses-and-strains-on-a-section-of-material.xml
8-1-4-1-(not-in-quiz)-Solving-two-equations-in-two-unknowns.xml
8-1-4-2-(not-in-quiz)-Solving-three-equations-in-three-unknowns.xml
Course_quiz_8_2-solution-by-inverse-matrix-method
8-2-1-1-Introduction.xml
8-2-1-2-Example-determinant-and-inverse-matrix.xml
8-2-1-3-Example-1-inverse-matrix-method.xml
8-2-1-4-Example-2-inverse-matrix-method.xml
8-2-1-5-Exercise-1-2x2-linear-system-inverse-matrix-method.xml
8-2-1-6-Engineering-Example-Currents-in-two-loops.xml
8-2-2-1-Intro-Non-unique-solutions.xml
8-2-2-2-Exercise-2x2-linear-system-infinitely-many-solutions.xml
8-2-2-3-Exercise-2x2-linear-system-no-solutions.xml
8-2-3-1-Example-3x3-linear-system-inverse-matrix-method.xml
8-2-3-2-Exercise-3x3-linear-system-inverse-matrix-method.xml
8-2-3-3-3x3-linear-equations-with-no-unique-solution.xml
8-2-3-4-Exercise-3x3-linear-system-infinitely-many-solutions.xml
8-2-3-5-Exercise-2x2-linear-system-no-solutions-v2-(NOT-IN-QUIZ).xml
8-2-3-6-(not-in-quiz)-Exercise-3x3-linear-system-inverse-matrix-method-v2.xml
8-2-3-7-(not-in-quiz)-Exercise-3x3-linear-system-unique-solution.xml
Course_quiz_8_3-solution-by-gauss-elimination
(not-in-quiz)-8-3-1-5-Remark-about-non-integers-before-Gaussian-Elimination.xml
(not-in-quiz)-8-3-2-1-General-Gauss-Elimination.xml
(not-in-quiz)-8-3-2-3-Remarks-after-describing-Gauss-Elimination.xml
8-3-1-1-Solving-three-equations-in-three-unknowns.xml
8-3-1-2-Exercise-linear-system-diagonal-matrix.xml
8-3-1-3-Triangular-linear-system.xml
8-3-1-4-Exercise-linear-system-upper-triangular-matrix.xml
8-3-2-1-General-Gauss-Elimination-+-Final-exercise-on-back-substitution.xml
8-3-2-2-Row-echelon-form.xml
8-3-2-3-3x3-linear-system-unique-solution-Gauss-Elimination.xml
8-3-3-1-Gauss-Elimination-3x3-linear-systems-with-infinitely-many-solutions.xml
8-3-3-2-Engineering-Example_Currents-in-three-loops.xml
8-3-3-3-Engineering-Example-Velocity-of-a-rocket.xml
8-3-3-4-3x3-linear-system-infinite-solutions-Gauss-Elimination.xml
8-3-3-5-3x3-linear-system-unique-solution-Gauss-Elimination-v3-(NOT-IN-QUIZ).xml
8-3-3-6-3x3-linear-system-unique-solution-Gauss-Elimination-v2-(not-in-quiz).xml
8-3-3-7-3x3-linear-system-unique-solution-Gauss-Elimination-v4-(NOT-IN-QUIZ).xml
Course_quiz_9_1-basic-concepts-of-vectors
9-1-1-2-Scalar-or-vector-quantity.xml
9-1-1-Introduction.xml
9-1-2-1-The-mathematical-description-of-vector-quantities.xml
9-1-3-1-Addition-of-vectors.xml
9-1-3-2-Resolving-Components-of-Vectors.xml
9-1-3-3-Resolving-the-components-of-a-vector.xml
9-1-3-4-Resolving-vectors-applications.xml
9-1-3-5-The-force-vectors-on-an-aeroplane.xml
9-1-4-1-Subtraction-of-vectors.xml
9-1-4-2-Diagonals-of-a-rectangle.xml
9-1-4-3-Resultant-vectors.xml
9-1-5-1-Multiplying-vectors-by-scalars.xml
9-1-5-2-Multiplying-vectors-by-scalars-and-simplfying.xml
9-1-5-3-Unit-Vectors.xml
9-1-5-4-Adding-vectors-in-triangles.xml
9-1-5-5-Hexagon-adding-vectors.xml
Course_quiz_9_2-cartesian-components-of-vectors
9-2-1-1-Two-dimensional-coordinate-frames.xml
9-2-1-2-Column-vector-notation.xml
9-2-1-3-Column-vector-notation.xml
9-2-1-4-Adding-vectors-with-cartesian-components-(2D).xml
9-2-1-5-Adding-vectors-written-in-component-form.xml
9-2-1-6-Position-vectors.xml
9-2-1-7-Definitions-of-free-position-vectors.xml
9-2-1-8-Definition-of-position-vector.xml
9-2-1-9-coordinates-to-position-vectors.xml
9-2-1-10-modulus-of-vectors-(cartesian-2D).xml
9-2-1-11-Points,-position-vectors-and-vectors-between-points-(2D).xml
9-2-2-1-Three-dimensional-coordinate-frames.xml
9-2-2-2-modulus-of-vectors-(cartesian-3D).xml
9-2-2-3-Points,-position-vectors-and-vectors-between-points-(3D).xml
Course_quiz_9_3-the-scalar-product
9-3-1-1-Definition-of-the-scalar-product.xml
9-3-2-1-formula-for-finding-the-scalar-product.xml
9-3-2-2-The-scalar-product.xml
9-3-2-3-The-scalar-product.xml
9-3-3-1-Resolving-one-vector-along-another.xml
9-3-4-1-Computing-the-scalar-product-of-two-vectors.xml
9-3-4-2-Angle-between-vectors.xml
9-3-4-4-Perpendicular-vectors.xml
9-3-4-5-Find-the-scalar-product-of-two-vectors-(NOT-IN-QUIZ).xml
9-3-4-6-True-or-False.xml
9-3-4-7-Work-done-by-a-force.xml
9-3-4-8-Angle-between-vectors-(NOT-IN-QUIZ).xml
9-3-4-Using-the-scalar-product-to-find-the-angle-between-vectors.xml
9-3-5-1-Engineering-example.xml
9-3-5-2-Computing-the-electric-field.xml
9-3-5-Vectors-and-electrostatics.xml
Course_quiz_9_4-the-vector-product
9-4-1-1-The-right-handed-screw-rule.xml
9-4-2-1-Definition-of-the-vector-product.xml
9-4-3-1-A-formula-for-finding-the-vector-product.xml
9-4-3-2-Evaluate-the-vector-product.xml
9-4-4-1-True-or-False.xml
9-4-4-2-The-vector-product.xml
9-4-4-3-Commutativity-of-the-vector-product.xml
9-4-4-4-Find-the-vector-product.xml
9-4-4-5-Vector-perpendicular-to-other-2.xml
9-4-4-6-Vector-perpendicular-to-a-plane.xml
9-4-4-7-Associativity-of-the-vector-product.xml
9-4-4-8-Area-of-a-triangle.xml
9-4-4-9-Distributivity-of-the-vector-product.xml
9-4-4-Using-determinants-to-evaluate-a-vector-product.xml
Course_quiz_9_5-lines-and-planes
9-5-1-1-The-direction-ratio-and-direction-cosines.xml
9-5-1-2-Direction-ratios-and-cosines,-Example.xml
9-5-1-2-Direction-ratios-and-cosines,-Exercise.xml
9-5-1-3-Key-point.xml
9-5-1-4-Direction-ratios-and-cosines,-Exercise.xml
9-5-2-1-Direction-ratios-and-cosines-in-three-dimensions.xml
9-5-2-2-Direction-ratios-and-cosines-in-three-dimensions,-Exercise.xml
9-5-2-3-The-angle-between-a-vector-and-the-axes,-Exercise.xml
9-5-2-4-Find-the-remaining-angle.xml
9-5-2-Direction-ratios-and-cosines-in-three-dimensions.xml
9-5-3-1-The-vector-equation-of-a-line,-Exercise.xml
9-5-3-2-The-vector-equation-of-a-line.xml
9-5-3-3-Vector-equation-of-a-line-through-two-points-in-2D-Exercise.xml
9-5-3-4-Vector-equation-of-a-line-through-two-points-in-3D-Exercise.xml
9-5-3-5-Cartesian-form.xml
9-5-3-6-Cartesian-form,-Example.xml
9-5-3-7-Vector-equation-of-a-line-through-two-points-in-3D.xml
9-5-3-8-Vector-and-cartesian-equation-of-a-line,-Exercise.xml
9-5-3-9-Vector-equation-of-a-point-a-in-direction-r-in-3D.xml
9-5-3-The-vector-equation-of-a-line.xml
9-5-4-1-Vectors-in-a-plane,-Exercise-(NOT-IN-QUIZ).xml
9-5-4-1-Vectors-in-a-plane,-Exercise-[alt].xml
9-5-4-2-Plane-equation.xml
9-5-4-3-Plane-equation,-example.xml
9-5-4-4-Equation-of-a-plane-passing-through-a-point-with-a-given-normal,-Exercise.xml
9-5-4-5-Vector-and-Cartesian-equation-of-a-plane,-Exercise.xml
9-5-4-6-Cartesian-equation-of-a-plane-through-a-point.xml
9-5-4-7-Perpendicular-distance-between-plane-and-origin.xml
9-5-4-The-vector-equation-of-a-plane.xml
Course_quiz_10_1-complex-arithmetic
10-1-1-1-What-is-a-Complex-Number-.xml
10-1-1-2-Complex-Conjugate-(NOT-IN-QUIZ).xml
10-1-1-3-What-is-a-Complex-Number-.xml
10-1-1-4-What-is-a-Complex-Number-.xml
10-1-1-5-What-is-a-complex-number-(NOT-IN-QUIZ).xml
10-1-1-6-What-is-a-Complex-Number-.xml
10-1-1-7-Equal-complex-numbers.xml
10-1-1-8-What-is-a-Complex-Number-.xml
10-1-1-9-What-is-a-Complex-Number-.xml
10-1-1-10-Complex-Conjugate.xml
10-1-1-11-Conjugate-and-Modulus.xml
10-1-2-1-Addition-and-subtraction-of-complex-numbers.xml
10-1-2-2-Algebra-of-complex-numbers.xml
10-1-2-3-Add-Subtract-Complex-Numbers.xml
10-1-2-4-Multiplying-one-complex-number-by-another.xml
10-1-2-5-Multiplication-of-complex-numbers.xml
10-1-2-6-Multiplying-Complex-Numbers.xml
10-1-2-7-Multiplication-of-Complex-numbers.xml
10-1-2-8-Multiplying-complex-numbers.xml
10-1-2-9-Multiplying-complex-numbers-(NOT-IN-QUIZ).xml
10-1-2-10-Conjugates.xml
10-1-2-11-Algebra-of-complex-numbers.xml
10-1-2-12-Dividing-one-complex-number-by-another.xml
10-1-2-13-Dividing-one-complex-number-by-another.xml
10-1-2-14-Dividing-complex-numbers.xml
10-1-2-15-Dividing-complex-numbers.xml
10-1-2-16-Dividing-complex-numbers.xml
10-1-2-17-Algebra-of-complex-numbers-(NOT-IN-QUIZ).xml
10-1-3-1-Solutions-to-polynomial-equations.xml
10-1-3-2-Solutions-to-polynomial-equations.xml
10-1-3-3-Solutions-of-Polynomial-equations.xml
10-1-3-4-Solutions-of-Polynomial-Equations.xml
10-1-3-5-Solution-to-Polynomial-Equations.xml
Course_quiz_10_2-the-argand-diagram-and-polar-form
10-1-9-Argand-Diagram.xml
10-2-1-1-The-Argand-Diagram.xml
10-2-1-2-Argand-diagram.xml
10-2-1-3-Argand-Diagram.xml
10-2-1-4-Argand-Diagram(Algebraic-Operations).xml
10-2-1-9-Write-z-exp-form-(NOT-IN-QUIZ).xml
10-2-1-10-Write-z-in-Cartesian-form-(copy)-(NOT-IN-QUIZ).xml
10-2-2-1-The-polar-form-of-a-complex-number.xml
10-2-2-2-Key-Point--Polar-form.xml
10-2-2-3-Example-Polar-form.xml
10-2-2-4-Polar-form.xml
10-2-2-5-Argument.xml
10-2-2-6-Polar-form.xml
10-2-2-7-Reals-and-Im-to-polar.xml
10-2-2-12-Write-z-in-Cartesian-form-(NOT-IN-QUIZ).xml
10-2-3-1-Multiplication-and-division-using-polar-coordinates.xml
10-2-3-2-Division(Polar-expression)-(NOT-IN-QUIZ).xml
10-2-3-3-Key-Point-Multiplication-and-division.xml
10-2-3-4-Complex-numbers-and-rotations.xml
10-2-3-5-Modulus-and-argument.xml
10-2-3-6-Division-(NOT-IN-QUIZ).xml
10-2-3-7-Modulus.xml
10-2-3-8-Find-z1^2-z2.xml
10-2-3-9-Find-z1-z2-in-polar-form-(NOT-IN-QUIZ).xml
10-2-3-10-Polar-form.xml
10-2-3-11-Find-mod-and-Arg-(NOT-IN-QUIZ).xml
Course_quiz_10_3-the-exponential-form-of-a-complex-number
10-3-1-1-Series-expansions.xml
10-3-2-1-The-exponential-form.xml
10-3-2-2-The-exponential-form-to-Cartesian-form.xml
10-3-2-3-Operations-with-the-exponential-form.xml
10-3-2-4-Finding-the-exponential-form.xml
10-3-3-1-Hyperbolic-and-trigonometric-functions.xml
10-3-3-2-Analogous-trigonometric-and-hyperbolic-function-identities.xml
10-3-3-3-Osborne-s-Rule.xml
10-3-3-4-Osborne-example.xml
10-3-4-1-Applying-Osborne-s-rule.xml
10-3-4-2-Hyperbolic-function-of-a-complex-number.xml
10-3-4-3-Exponential-form-to-Cartesian-form-(NOT-IN-QUIZ).xml
10-3-4-4-Cartesian-form-to-exponential-form-(NOT-IN-QUIZ).xml
Course_quiz_10_4-de-moivre’s-theorem
10-4-1-1-De-Moivre’s-theorem.xml
10-4-2-1-Finding-the-roots-of-complex-numbers.xml
10-4-2-2-Root-finding.xml
10-4-2-3-Roots-of-a-complex-number.xml
10-4-3-1-Complex-roots-of-a-simple-quartic.xml
Course_quiz_11_1-introducing-differentiation
11-1-0-Introduction.xml
11-1-1-Drawing-Tangents.xml
11-1-1a-Key-Point-1.xml
11-1-1b-Classifying-Gradients.xml
11-1-2-Finding-the-gradient-at-a-specific-point.xml
11-1-3-Finding-the-gradient-at-a-general-point.xml
11-1-3-differentiate-intro.xml
11-1-3a-Key-Point-2.xml
11-1-4-1-differentiate.xml
11-1-4-2-differentiate-and-evaluate.xml
11-1-4-3-rate-of-change.xml
11-1-4-Differentiate-function-from-first-principles.xml
Course_quiz_11_2-using-a-table-of-derivatives
11-2-1-1-Table-of-derivatives.xml
11-2-1-2-Key-Point.xml
11-2-1-3-T1-differentiate.xml
11-2-1-4-T2-differentiate.xml
11-2-1-5-T3-diff-sin,-cos,-tan.xml
11-2-1-6-Differentiation.xml
11-2-1-7-Differentiation.xml
11-2-1-8-Differentiation.xml
11-2-1-9-Engineering-Example-1.xml
11-2-1d-diff-trig-e-ln.xml
11-2-2-1-Extending-the-table-of-derivatives.xml
11-2-2-2-T1.xml
11-2-2-3-Differentiation.xml
11-2-2-4-Differentiation.xml
11-2-2-5-Differentiation.xml
11-2-3-1-Evaluating-a-derivative.xml
11-2-3-2-Engineering-Example-2.xml
11-2-3-3-Example.xml
11-2-3-4-evaluate-trig-derivatives.xml
Course_quiz_11_3-higher-derivatives
11-3-1-Derivative-of-a-derivative.xml
11-3-2-Notation-for-derivatives.xml
11-3-2-y-y-.xml
11-3-2b-exercise-y-y-.xml
11-3-2c-exercise-y-y-.xml
11-3-2d-exercise-y-y-.xml
11-3-2e-exercise-y-y-.xml
11-3-2f-ex-evaluating-y-y-.xml
11-3-2g-exercise-evaluating-y-y-.xml
11-3-2i-exercise-evaluating-y-y-.xml
not-in-quiz-11-3-2j-exercise-evaluating-y-y-.xml
not-in-quiz-11-3-2k-exercise-evaluating-y-y-.xml
Course_quiz_11_4-differentiating-products-and-quotients
11-4-1-1-Differentiating-a-product.xml
11-4-1-2-Product-example.xml
11-4-1-3-T1a-2_prod_intro.xml
11-4-1-4-T1b-2_prod_intro.xml
11-4-1-5.xml
11-4-1-6.xml
11-4-1-7-Three-Product-example.xml
11-4-1-8-T2-3_prod_intro.xml
11-4-2-1-Differentiating-a-quotient.xml
11-4-2-2-T1-quot_intro.xml
11-4-2-3-1a-quotient-rule.xml
11-4-2-4-1b-quotient-rule.xml
11-4-2-5-1c-quotient-rule.xml
11-4-2-6-1d-quotient-rule.xml
11-4-2-7-1e-quotient-rule.xml
Course_quiz_11_5-the-chain-rule
11-5-0-Introduction.xml
11-5-1-The-meaning-of-a-function-of-a-function.xml
11-5-1-specify-f(g).xml
11-5-2-The-derivative-of-a-function-of-a-function.xml
11-5-2a-task-diff-f(g).xml
11-5-2b-task-diff-f(g).xml
11-5-2c-task-diff-f(g).xml
11-5-3-Power-functions.xml
11-5-3a-task-diff-f^k(g).xml
11-5-3b-task-diff-f^k(g).xml
11-5-3c-ex.xml
11-5-3d-ex.xml
Course_quiz_11_6-parametric-differentiation
11-6-0-Introduction.xml
11-6-1-1-Parametric-differentiation.xml
11-6-1-2-example.xml
11-6-1-3-task.xml
11-6-1-4-task.xml
11-6-2-1-Higher-derivatives.xml
11-6-2-2-example.xml
11-6-2-3-y-and-y-parametric.xml
11-6-2-4-y-and-y-parametric.xml
11-6-2-5-y-and-y-parametric.xml
Course_quiz_11_7-implicit-differentiation
11-7-0-Introduction-implicit-differentiation.xml
11-7-1a-imp-to-exp.xml
11-7-1b-circle-example.xml
11-7-2-Differentiation-of-implicit-functions.xml
11-7-2-task.xml
11-7-2a-first-imp-derivative.xml
11-7-2b-first-imp-derivative.xml
11-7-2c-first-imp-derivative.xml
11-7-3-Beam-Curvature.xml
11-7-3-Second-order-imp-diff.xml
Course_quiz_12_1-tangents-and-normals
12-1-1-1-(title).xml
12-1-1-1-Introduction-and-Perpendicular-lines.xml
12-1-1-2-Perpendicular-lines-Exercises.xml
12-1-2-1-Tangents-and-normals-to-a-curve.xml
12-1-3-1-The-tangent-line-to-a-curve.xml
12-1-3-2-The-tangent-line-to-a-curve-exponential.xml
12-1-3-3-The-tangent-line-to-a-curve-sinusoid.xml
12-1-4-1-The-normal-line-to-a-curve.xml
12-1-4-2-The-normal-line-to-a-sinusoid.xml
12-1-4-3-The-normal-line-to-a-cubic.xml
12-1-4-4-tangents-and-normals-to-various-functions.xml
12-1-4-5-Intersect-at-right-angles.xml
Course_quiz_12_2-maxima-and-minima
12-2-1-1-Maxima-and-Minima.xml
12-2-1-2-stationary-points.xml
12-2-1-3-locate-maxima-and-minima.xml
12-2-2-1-Distinguishing-between-local-maxima-and-minima.xml
12-2-2-2-local-minima-distinguishing.xml
12-2-2-3-Determine-local-minima-and-maxima.xml
12-2-2-4-point-of-inflection.xml
12-2-2-5-maximum-cross-sectional-area.xml
12-2-2-6-electrical-circuit.xml
12-2-3-1-water-wheel-example.xml
12-2-3-2-refraction-example.xml
12-2-3-3-fluid-power-transmission-example.xml
12-2-3-4-Crank-used-to-drive-a-piston-example.xml
12-2-4-1-locating-and-classifying-stationary-points.xml
12-2-4-2-maximum-temperature.xml
Course_quiz_12_3-the-newton–raphson-method
12-3-1-1-The-Newton-Raphson-Method.xml
12-3-1-2-Classify-roots.xml
12-3-2-1-Finding-the-roots-of-the-equation-f(x)-=-0.xml
12-3-2-2-One-iteration-of-Newton-Raphson.xml
12-3-2-3-Find-root-to-2-d-p-.xml
12-3-3-1-Engineering-Example.xml
12-3-4-1-Exercise-1.xml
12-3-4-2-Exercise-2.xml
Course_quiz_12_5-differentiation-of-vectors
12-5-1-1-Differentiation-of-Vectors.xml
12-5-1-2-Exercise-1.xml
12-5-1-3-Exercise-2.xml
12-5-1-4-Exercise-3.xml
12-5-1-5-Exercise-4.xml
12-5-1-6-Exercise-5.xml
Course_quiz_13_1-basic-concepts-of-integration
13-1-1-1-Integration-as-reverse-of-differentiation.xml
13-1-1-2-Find-derivatives.xml
13-1-2-1-Table-of-integrals.xml
13-1-2-2-T-Find-Integral.xml
13-1-2-3-T-Find-Integral-with-Negative-Index.xml
13-1-2-4-T-Find-Integral-of-Exponential.xml
13-1-2-5-Find-integrals.xml
13-1-2-6-Find-integrals.xml
13-1-3-1-Rules-of-Integration.xml
13-1-3-2-T-Integral-of-f(x)-+-g(x).xml
13-1-3-3-T-Integral-of-Hyperbolics.xml
13-1-3-4-Using-rules-of-integration.xml
13-1-4-1-Engineering-example.xml
Intro-blurb.xml
Course_quiz_13_2-definite-integrals
13-2-1-1-Definite-integrals.xml
13-2-2-1-Evaluating-definite-integrals.xml
13-2-2-2-T-Definite-integral-switch-limits.xml
13-2-2-3-Work-done-by-a-spring.xml
13-2-2-4-Find-definite-integrals.xml
13-2-2-5-Find-definite-integrals.xml
13-2-2-6-Engineering-example-2.xml
13-2-3-1-Infinite-limits.xml
13-2-3-2-Find-infinite-integrals.xml
13-2-Introduction.xml
Course_quiz_13_3-the-area-bounded-by-a-curve
13-3-1-1-Calculating-the-area-under-a-curve.xml
13-3-2-1-Curve-above-the-x-axis.xml
13-3-2-2-T-Area-Under-Sin(x).xml
13-3-2-3-T-Area-Under-Exponential.xml
13-3-2-4-Curve-above-the-x-axis---example.xml
13-3-2-5-Area-under-a-curve.xml
13-3-2-6-Area-under-a-curve.xml
13-3-2-7-Area-under-a-curve.xml
13-3-3-1-Curves-above-and-below-x-axis.xml
13-3-3-2-T-Area-Under-Sin(2x).xml
13-3-3-3-Finding-areas.xml
13-3-3-4-Finding-areas.xml
13-3-3-5-Finding-areas.xml
13-3-Introduction.xml
Course_quiz_13_4-integration-by-parts
13-4-1-1-Integration-by-parts.xml
13-4-1-2-T-Indefinite-integral-by-parts.xml
13-4-1-3-By-parts-multiple-times.xml
13-4-1-4-Integration-by-parts.xml
13-4-1-5-Integration-by-parts.xml
13-4-1-6-Integration-by-parts.xml
13-4-1-7-Integration-by-parts.xml
13-4-1-8-Integration-by-parts.xml
13-4-1-9-Integration-by-parts.xml
13-4-2-1-Definite-integration.xml
13-4-2-2-T-Definite-integral-by-parts.xml
13-4-2-3-Definite-integration.xml
13-4-2-4-Definite-integration.xml
13-4-Introduction.xml
Course_quiz_13_5-substitution-and-partial-fractions
13-5-1-1-Making-a-substitution.xml
13-5-1-2-T-Sub-and-Int.xml
13-5-1-3-Substitution.xml
13-5-2-1-Substitution-and-definite-integration.xml
13-5-2-2-Definite-integrals.xml
13-5-3-1-Integrals-and-logarithms.xml
13-5-3-2-T-Find-Integrals.xml
13-5-3-3-T-Integrate-Polynomial-Fraction.xml
13-5-3-4-Integrals-and-logarithms--continuing.xml
13-5-3-5-Integrals-and-logarithms.xml
13-5-4-1-Integrals-and-partial-fractions.xml
13-5-4-2-T-Integrate-Partial-Fractions.xml
13-5-4-3-Integrals-and-partial-fractions.xml
13-5-Introduction.xml
Course_quiz_13_6-integration-of-trigonometric-functions
13-6-1-1-Integration-of-trigonometric-functions.xml
13-6-1-2-T-Easy-trigonometric-integrals.xml
13-6-1-4-T-Integrate-after-trigonometric-indentity.xml
13-6-1-5-T-Integrate-after-trigonometric-indentity.xml
13-6-1-6-Engineering-example.xml
13-6-2-1-Orthogonality-relations.xml
13-6-2-2-Mean-square-value.xml
13-6-3-1-Reduction-formulae-introduction.xml
13-6-3-2-T-Integrals-represented-by-I_n.xml
13-6-3-3-Reduction-formulae.xml
13-6-3-4-T-Wallis-s-formula.xml
13-6-3-5-Power-of-an-antenna.xml
13-6-4-1-Harder-trigonometric-integrals.xml
13-6-5-1-Identities.xml
13-6-5-2-Identities.xml
13-6-5-3-Identities.xml
13-6-Introduction.xml
16-6-1-3-Simple-trigonometric-integrals-key-point.xml
Course_quiz_14_1-integration-as-the-limit-of-a-sum
14-1-1-1-The-Limit-of-a-Sum.xml
14-1-1-2-Rectangles-Single-PRT.xml
14-1-1-3-Sum-of-Areas.xml
14-1-1-4-Area-Using-Limit-of-Sum.xml
14-1-1-5-Area-Using-Limit-of-Sum-2.xml
14-1-1-6-Integrals.xml
Interactive-JSX---Rectangles-Single-PRT.xml
Course_quiz_14_2-the-mean-value-and-the-root-mean-square-value
14-2-1-1-Average-value-of-a-function.xml
14-2-1-2-Mean-value-of-a-function.xml
14-2-1-3-Engineering-example.xml
14-2-1-4-Finding-means-of-functions.xml
14-2-1-5-Finding-more-means-of-functions.xml
14-2-1-6-Finding-means-of-trig-functions.xml
14-2-1-7-Finding-more-means-of-more-functions.xml
14-2-2-1-Root-mean-square-value-of-a-function.xml
14-2-2-2-Finding-r-m-s-of-functions.xml
14-2-2-3-Finding-more-r-m-s-of-functions.xml
14-2-2-4-Finding-r-m-s-of-trig-functions-(long-copy).xml
14-2-2-4-Finding-r-m-s-of-trig-functions.xml
14-2-2-5-Finding-more-r-m-s-of-more-functions.xml
Course_quiz_14_3-volumes-of-revolution
14-3-1-1-Volumes-generated-by-rotating-curves-about-the-x-axis.xml
14-3-1-2-Find-volume-of-cone.xml
14-3-1-3-Find-volume-of-rotated-parabola.xml
14-3-1-4-Find-volume-of-solid-of-revolution.xml
14-3-1-5-Volume-of-a-solid-of-revolution.xml
14-3-1-6-Finding-volume-of-a-solid-of-revolution.xml
14-3-1-7-Finding-volume-of-a-solid-of-revolution.xml
14-3-2-1-Volumes-generated-by-rotating-curves-about-the-y-axis.xml
14-3-2-2-Find-volume-of-parabola-around-y-axis.xml
14-3-2-3-Find-volume-of-parabola-around-y-axis.xml
14-3-2-4-Find-volume-of-line-around-y-axis.xml
Course_quiz_14_4-lengths-of-curves-and-surfaces-of-revolution
14-4-1-1-Exercise-1.xml
14-4-1-2-Exercise-2.xml
14-4-1-3-Exercise-3.xml
14-4-1-Introduction.xml
14-4-1a-Length-of-curve-1.xml
14-4-1b-Length-of-curve-2.xml
14-4-2-1-Area-of-surface.xml
14-4-2-2-Exercise-1.xml
14-4-2-3-Exercise-2.xml
14-4-2-The-area-of-a-surface-of-revolution.xml
Course_quiz_15_2-calculating-centres-of-mass
15-2-1-1-The-centre-of-mass-of-a-collection-of-point-masses.xml
15-2-1-2-Moment-of-single-point-mass.xml
15-2-1-3-Intuition-behind-moments.xml
15-2-1-4-Calculating-centre-of-mass-rod-with-2-masses.xml
15-2-1-5-Computing-COM-for-multiple-point-masses.xml
15-2-1-6-COM-of-4-masses-on-line.xml
15-2-1-7-Distribution-of-particles-in-a-plane.xml
15-2-1-8-COM-of-point-masses-in-plane.xml
15-2-1-9-COM-of-5-masses-on-line.xml
15-2-2-1-COM-of-plane-lamina.xml
15-2-2-2-COM-of-symmetric-triangular-lamina.xml
15-2-2-3-x-coordinate-of-COM-of-triangular-lamina.xml
15-2-2-4-y-coord-of-COM-of-lamina-by-vertical-strips.xml
15-2-2-5-y-coord-of-COM-of-lamina-by-horizontal-strips.xml
15-2-2-6-COM-of-semicircular-lamina-(old-copy).xml
15-2-2-6-COM-of-semicircular-lamina.xml
15-2-2-6b-The-formula-which-doesn-t-exist.xml
15-2-2-7-Suspended-cable.xml
15-2-2-9-COM-of-parabola.xml
Course_quiz_16_1-infinite-sequences-and-finite-series
16-1-1-1-Introduction.xml
16-1-1-2-Identify-graph-of-sequence.xml
16-1-1-3-Identify-convergence.xml
16-1-1-4-General-sequence.xml
16-1-1-5-Find-the-nth-term-of-a-sequence.xml
16-1-2-1-Arithmetic-and-geometric-progressions.xml
16-1-2-2-Arithmetic-sequence-a-and-d.xml
16-1-2-3-Geometric-sequence-a-and-r.xml
16-1-2-4-Find-geometric-series-from-a-and-r.xml
16-1-2-5-Sequences-may-be-neither-geometric-nor-arithmetic.xml
16-1-3-1-Series.xml
16-1-3-2-Write-series-in-summation-form.xml
16-1-3-3-Write-out-terms-of-series.xml
16-1-4-1-Summing-series.xml
16-1-4-2-Finding-sums-of-series.xml
16-1-5-1-Finding-convergence.xml
16-1-5-2-Summation-forms.xml
16-1-5-3-Terms-of-series.xml
16-1-5-4-Sums-of-series.xml
Course_quiz_16_2-infinite-series-and-convergence-tests
16-2-1-1-Introduction.xml
16-2-1-2-Divergence-condition-for-an-infinite-series.xml
16-2-1-3-T-Convergent-series.xml
16-2-1-4-Divergence-of-the-harmonic-series.xml
16-2-1-5-Convergence-of-the-alternating-harmonic-series.xml
16-2-2-1-General-tests-for-convergence.xml
16-2-2-2-The-alternating-series-test.xml
16-2-2-3-T-Convergent-series.xml
16-2-3-1-The-ratio-test.xml
16-2-3-2-T-Ratio-test-question.xml
16-2-3-3-Note.xml
16-2-4-1-Absolute-and-conditional-convergence.xml
16-2-4-2-T-Show-convergence.xml
16-2-5-1-Convergence-of-alternating-series.xml
16-2-5-2-Ratio-test-convergence.xml
16-2-5-3-Convergence-with-a-parameter.xml
Course_quiz_16_3-the-binomial-series
16-3-1-1-The-Binomial-Series.xml
16-3-1-2-Using-binomial-theorem-obtain.xml
16-3-1-3-binomial-coefficients.xml
16-3-1-4-Cubic-approximation.xml
16-3-1-5-End-exercises.xml
16-3-1-6-Cubic-approximation.xml
Course_quiz_16_4-power-series
16-4-1-Power-Series.xml
16-4-2-Radius-of-convergence-question.xml
16-4-2-The-radius-of-convergence.xml
16-4-3-Properties-of-power-series.xml
16-4-3-ln(1+x)-approximation.xml
16-4-4-General-power-series-radius-of-convergence.xml
16-4-4-General-power-series.xml
16-4-5-1-ln(1-x)-approximation.xml
16-4-5-2-General-power-series.xml
16-4-5-4-Differentiate-to-obtain-power-series.xml
16-4-5-5-Find-radius-of-convergence.xml
Course_quiz_16_5-maclaurin-and-taylor-series
16-5-1-1-Maclaurin-and-Taylor-series.xml
16-5-2-1-The-Maclaurin-series.xml
16-5-2-2-Example-Maclaurin-expansion.xml
16-5-2-3-Find-the-Maclaurin-series.xml
16-5-2-4-Product-of-functions.xml
16-5-2-5-Example-of-product-of-functions.xml
16-5-2-6-Product-of-Maclaurin-series.xml
16-5-2-7-Example-of-product-of-functions.xml
16-5-3-1-Differentiation-of-Maclaurin-series.xml
16-5-3-2-Differentiate-a-Maclaurin-series-a.xml
16-5-3-2-Differentiate-a-Maclaurin-series-b.xml
16-5-4-1-The-Taylor-series.xml
16-5-4-2-Find-the-Taylor-series.xml
16-5-4-3-Find-the-Taylor-series.xml
Course_quiz_17-1-conic-sections
17-1-1-1-The-Ellipse,-Parabola-and-Hyperbola.xml
17-1-1-2-Deriving-the-cartesian-equation.xml
17-1-1-3-The-circle.xml
17-1-1-4-Write-the-equation-of-the-circle-JSXgraph-attempt.xml
17-1-1-5-Equation-of-a-circle.xml
17-1-1-6-Equations-of-circles.xml
17-1-1-7-Engineering-Example-1.xml
17-1-1-8-Engineering-Example-2.xml
17-1-1-9-The-parabola.xml
17-1-1-10-JSXGraph-.xml
17-1-1-11-JSXGraph-.xml
17-1-1-12-The-Hyperbola.xml
17-1-1-13-Classifying-conic-sections.xml
17-1-1-14-Exercises-1.xml
17-1-1-15-Exercises-2.xml
17-1-1-16-Exercises-3.xml
Course_quiz_17-2-polar-coordinates
17-2-1-1-Basics-of-polar-Coordinates.xml
17-2-1-2-Polar-to-Cartesian-coordinates.xml
17-2-1-3-continued-basics-of-polar-coordinates.xml
17-2-1-4-Cartesian-to-polar-coordinates.xml
17-2-1-5-Polar-points-forming-a-line.xml
17-2-2-6-Simple-curves-in-polar-coordinates.xml
17-2-2-7-Match-cartesian-equations-with-graphs.xml
17-2-2-8-Match-polar-equations-with-graphs.xml
17-2-3-9-Simple-curves-in-polar-coordinates-continued.xml
17-2-3-10-ellipsis-vertices.xml
17-2-3-11-Polar-curve-creation.xml
17-2-3-12-Polar-curve-creation.xml
17-2-3-13-Polar-curve-creation.xml
17-2-3-14-polar-to-Cartesian-exercise.xml
17-2-3-15-Polar-to-Cartesian-exercise.xml
Course_quiz_17-3-parametric-curves
17-3-1-1-Parametric-Curves-Information.xml
17-3-1-2-Parametric-Curves-Task.xml
17-3-1-3-Parametric-Curves-Information.xml
17-3-1-4-Parametric-Curves-Task.xml
17-3-2-General-Parametric-Form.xml
17-3-3-1-Parametric-Form-of-the-Parabola.xml
17-3-3-2-Parametric-Form-of-the-Ellipse.xml
17-3-3-3-Parametric-Form-of-the-Hyperbola.xml
17-3-3-4-Parametric-Curves-Exercise.xml
17-3-3-5-Tangent-to-Parametric-Curve-Exercise.xml
17-3-3-6-Parametric-Curves-Exercise.xml
Course_quiz_18_1-functions-of-several-variables
18-1-1-1-Functions-of-Several-Variables.xml
18-1-1-2-Find-values-of-a-function.xml
18-1-1-3-Find-values-of-a-function-(2).xml
18-1-1-4-Function-of-Three-Variables.xml
18-1-1-5-Find-values-of-a-function-with-three-variables.xml
18-1-1-6-Find-values-of-a-function-with-three-variables(2).xml
18-1-1-7-Find-values-of-a-function-with-four-variables.xml
18-1-2-1-Functions-of-two-variables.xml
18-1-2-2-Special-cases-of-planes.xml
18-1-2-3-Sketching-surfaces.xml
18-1-Introduction.xml
Course_quiz_18_2-partial-derivatives
18-2-1-1-First-partial-derivatives---x-derivative.xml
18-2-1-2-First-partial-derivatives---y-derivative.xml
18-2-1-3-Task-Evaluate-partial-derivatives.xml
18-2-1-4-First-partial-derivatives---functions-of-several-var.xml
18-2-1-5-Evaluate-partial-derivatives-1.xml
18-2-1-6-Evaluate-partial-derivatives-2.xml
18-2-1-7-Evaluate-partial-derivatives-3.xml
18-2-1-8-Evaluate-partial-derivatives-4.xml
18-2-1-9-Find-partial-derivatives.xml
18-2-2-1-Second-partial-derivatives.xml
18-2-2-2-Evaluate-second-partial-derivatives-1.xml
18-2-2-3-Evaluate-second-partial-derivatives-2.xml
18-2-2-4-Evaluate-second-partial-derivatives-3.xml
18-2-2-5-Evaluate-second-partial-derivatives-4.xml
18-2-2-6-Find-second-partial-derivatives.xml
18-2-2-7-Partial-derivatives.xml
18-2-3-1-Engineering-example.xml
18-2-Introduction.xml
Course_quiz_18_3-stationary-points
18-3-1-1-The-stationary-points-of-a-function-of-two-variables-(copy).xml
18-3-1-2-T-Features-on-graph-(copy).xml
18-3-2-1-Location-of-stationary-points-(copy).xml
18-3-2-2-T-Verify-stationary-point-(copy).xml
18-3-2-3-Location-of-stationary-points-(copy).xml
18-3-2-4-T-Locate-stationary-points-(copy).xml
18-3-3-1-The-nature-of-a-stationary-point-(copy).xml
18-3-3-2-T-Nature-of-stationary-points-(copy).xml
18-3-3-3-The-nature-of-a-stationary-point-(copy).xml
18-3-4-2-Identify-and-classify-stationary-points-1-(copy).xml
18-3-4-3-Identify-and-classify-stationary-points-2-(copy).xml
18-3-4-4-Identify-and-classify-stationary-points-3-(copy).xml
18-3-4-5-Identify-and-classify-stationary-points-4-(copy).xml
18-3-4-6-Identify-and-classify-stationary-points-5-(copy).xml
18-3-4-7-Identify-and-classify-stationary-points-6-(copy).xml
18-3-Introduction-(copy).xml
Course_quiz_18_4-errors-and-percentage-change
18-4-1-1-Functions-of-two-variables.xml
18-4-1-2-Absolute-error.xml
18-4-1-3-Functions-of-three-or-more-variables.xml
18-4-2-1-Measuring-the-height-of-a-building.xml
18-4-2-2-Maximum-Error-Estimate.xml
18-4-3-1-Relative-error-and-percentage-relative-error.xml
18-4-3-2-Approximate-percentage-relative-error.xml
18-4-4-1-Error-in-power-to-a-load-resistance.xml
18-4-4-2-Exercise-1.xml
18-4-4-3-Exercise-2.xml
18-4-4-4-Exercise-3.xml
18-4-4-5-Exercise-4.xml
18-4-4-6-Exercise-5.xml
Course_quiz_19_1-modelling-with-differential-equations
19-1-1-1-Newton-s-Law-of-Cooling.xml
19-1-1-2-Newton-s-Law-of-Cooling.xml
19-1-1-3-Initial-Condition.xml
19-1-2-1-The-general-solution-of-a-differential-equation.xml
19-1-2-2-Find-differential-equation.xml
19-1-2-2-Solution-of-a-Differential-Equation.xml
19-1-2-3-Arbitrary-Constants-in-a-Differential-Equation.xml
19-1-2-4-Arbitrary-constants.xml
19-1-2-5-Family-of-Solutions.xml
19-1-2-6-Example-of-family-of-solutions.xml
19-1-2-7-Solve-differential-equation-with-boundary-condition.xml
19-1-3-1-Classifying-differential-equations.xml
19-1-3-2-Example-on-classifying-differential-equations.xml
19-1-3-3-Classify-the-differential-equation.xml
19-1-3-4.xml
19-1-4-1-RL-and-LCR-circuit.xml
19-1-4-2-Find-differential-equations.xml
19-1-4-3-Find-general-and-specific-solution.xml
19-1-4-4-Find-general-and-particular-solutions.xml
L10-1-Q02-Order-DE.xml
L10-1-Q04-Order-DE.xml
L10-1-Q06-Linear-or-not.xml
L10-1-Q07-Linear-or-not.xml
NOT-IN-QUIZ-19-1-3-3-Classify-the-differential-equation.xml
Course_quiz_19_2-first-order-differential-equations
19-2-1-1-Separating-the-variables-in-first-order-ODEs.xml
19-2-1-2-Separable-Equations.xml
19-2-1-3-Different-variable-names.xml
19-2-2-1-Applying-the-method-of-separation-of-variables-to-ODEs.xml
19-2-2-2-Separation-of-variables.xml
19-2-2-3-Separation-of-Variables-Ex1.xml
19-2-2-4-Separation-of-Variables-Ex2.xml
19-2-2-5-Separation-of-Variables-Ex3.xml
19-2-2-6-Separation-of-Variables-Ex4.xml
19-2-2-7-Separation-of-Variables-Ex5.xml
19-2-2-8-Separation-of-Variables-Ex6.xml
19-2-3-1-Exact-equations.xml
19-2-3-2-Exact-Equations.xml
19-2-4-1-Solving-exact-equations.xml
19-2-4-2-Solve-an-exact-equation.xml
19-2-5-1-Recognising-an-exact-equation.xml
19-2-5-2-Solve-an-exact-equation.xml
19-2-5-3-T-Recognising-an-Exact-Equation.xml
19-2-5-4-Solving-an-Exact-Equation-Ex1.xml
19-2-5-5-Solving-an-Exact-Equation-Ex2.xml
19-2-5-6-Solving-an-Exact-Equation-Ex3.xml
19-2-5-7-Solving-and-Exact-Equation-Ex4.xml
19-2-5-8-Solving-an-Exact-Equation-Ex5.xml
19-2-6-1-The-Integrating-factor.xml
19-2-6-2-Which-equation-uses-an-integrating-factor.xml
19-2-7-1-Finding-the-integrating-factor-for-linear-ODEs.xml
19-2-7-2-Find-the-integrating-factor.xml
19-2-8-1-Solving-equations-via-the-integrating-factor.xml
19-2-8-2-Solve-the-equation-using-the-integrating-factor.xml
19-2-9-1-Engineering-Example.xml
19-2-9-2-First-Order-DE-Ex1.xml
19-2-9-3-First-Order-DE-Ex2.xml
19-2-9-4-First-Order-DE-Ex3.xml
19-2-9-5-First-Order-DE-Ex4.xml
19-2-9-6-Temperature-ODE.xml
19-2-9-7-(NOT-IN-QUIZ)-LR-circuit-ODE.xml
Course_quiz_19_3-second-order-differential-equations
19-3-1-1-Constant-Coefficient-2nd-Order-ODEs.xml
19-3-1-2-Constant-and-Homogeneous.xml
19-3-2-1-Finding-the-Complementary-Function.xml
19-3-2-2-Aux-and-Gen-Solution.xml
19-3-2-3-Finding-the-complementary-function.xml
19-3-2-4-Auxiliary-Equations.xml
19-3-2-5-Finding-the-complementary-function.xml
19-3-2-6-Complex-Roots-of-Aux.xml
19-3-2-7-Repeated-Roots.xml
19-3-2-8-Complementary-Func-Ex1.xml
19-3-2-9-Complementary-Func-Ex2.xml
19-3-2-10-Complementary-Func-Ex3.xml
19-3-3-1-The-Particular-Integral.xml
19-3-4-1-Finding-a-particular-integral.xml
19-3-4-2-Find-particular-integral.xml
19-3-4-3-Particular-integral-example.xml
19-3-4-4-Find-particular-integral.xml
19-3-5-1-Finding-the-general-solution-of-a-snd-order-linear-inhomogeneous-ODE.xml
19-3-5-2-Engineering-example.xml
19-3-6-1-Inhomogeneous-term-in-the-complementary-function.xml
19-3-6-2-Exercise-1.xml
19-3-6-3-Exercise-5.xml
19-3-6-4-Exercise-6.xml
19-3-6-5-Exercise-7b.xml
Course_quiz_19_4-applications-of-differential-equations
9-4-1-5-Task---model-of-sprerical-pill.xml
19-4-1-1-Modelling-with-first-order-equations.xml
19-4-1-2-Law-of-cooling---integrating-factor.xml
19-4-1-3-Integrating-factor.xml
19-4-1-4-Modelling-electrical-circuits.xml
19-4-2-1-Modelling-free-mechanical-oscillations.xml
19-4-2-2-Case-1-No-damping.xml
19-4-2-3-Task,-Find-unique-solution.xml
19-4-2-4-Case-2-Light-damping.xml
19-4-2-5-Task---Find-solution-for-x.xml
19-4-2-6-Case-2---continued.xml
19-4-2-7-Case-3-Heavy-damping.xml
19-4-2-8-Task---Find-lambda-solution-for-x.xml
19-4-3-1-Modelling-forced-mechanical-oscillations.xml
19-4-3-2-Find-aux-eq-and-compl-function.xml
19-4-3-3-Modelling-continued.xml
19-4-4-1-Modelling-forces-on-beams.xml
19-4-4-2-Engineering-Example-4.xml
19-4-5-1-Ex1-RC-circuit,-find-q.xml
19-4-5-2---Ex-3-escape-velocity.xml
Course_quiz_20_1-casual-functions
20-1-1-1-Transforms-and-causal-functions.xml
20-1-1-2-First-Laplace-Transform.xml
20-1-1-3-Key-point.xml
20-1-1-4-Casual-Functions.xml
20-1-2-1-Properties-of-causal-functions.xml
20-1-2-2-Calculus-with-casual-function.xml
20-1-3-1-Derivative-of-Casual-Function.xml
20-1-3-2-Area-Under-the-Curve-of-Casual-Function.xml
20-1-3-3-Area-Under-Casual-Function-(again).xml
Course_quiz_20_2-the-transform-and-its-inverse
20-2-1-1-The-Transform-and-its-Inverse.xml
20-2-1-2-The-Transform-and-its-Inverse.xml
20-2-1-3-The-Transform-and-its-Inverse.xml
20-2-1-4-The-linearity-property-of-the-Laplace-transformation.xml
20-2-1-5-The-linearity-property-of-the-Laplace-transformation.xml
20-2-1-6-The-linearity-property-of-the-Laplace-transformation.xml
20-2-1-7-The-linearity-property-of-the-Laplace-transformation.xml
20-2-2-1-The-inverse-Laplace-transform.xml
20-2-2-2.xml
20-2-3-1-The-first-shift-theorem.xml
20-2-3-2-The-first-shift-theorem.xml
20-2-3-3-The-first-shift-theorem.xml
20-2-3-4-The-first-shift-theorem.xml
20-2-3-5-The-first-shift-theorem.xml
20-2-3-6-The-first-shift-theorem.xml
Course_quiz_20_3-further-laplace-transforms
20-3-1-1-The-second-shift-theorem.xml
20-3-1-2-Inverse-Laplace-Transform-Exercise.xml
20-3-2-1-The-Laplace-transform-of-a-derivative.xml
20-3-2-2-Example-Laplace-with-Derivatives.xml
20-3-3-1-Basic-Laplace-Transform-Exercises.xml
20-3-3-2-Diff-Eq-Exercises.xml
20-3-3-3-Inverse-Laplace-Transform-Exercises.xml
20-3-4-1-The-delta-function.xml
20-3-4-2-Delta-Functions-Exercise.xml
20-3-4-3-Delta-Function-Integral.xml
20-3-5-1-The-Laplace-transform-of-the-delta-function.xml
Course_quiz_20_4-solving-differential-equations
20-4-1-1-Solving-ODEs-using-Laplace-transforms.xml
20-4-1-2-Capacitor-Exercise.xml
20-4-1-3-Second-Order-Example.xml
20-4-1-4-Exercises.xml
20-4-1-5-Damped-Spring-Example.xml
20-4-2-1-Solving-systems-of-differential-equations.xml
20-4-2-2-Coupled-Diff-Eqs-Exercise.xml
20-4-3-1-Exercise---System-of-Diff-Eqs.xml
20-4-3-2-Exercise---Second-Order-System.xml
20-4-4-1-Applications-of-systems-of-differential-equations.xml
20-4-4-2-Two-masses-on-springs.xml
20-4-4-3-Spring-Diff-Eq-Exercise.xml
20-4-5-1-Engineering-Example---Capacitor.xml
20-4-5-2-Engineering-Example---Loaded-Beam.xml
Course_quiz_20_5-the-convolution-theorem
20-5-1-1-Convolution.xml
20-5-1-2-Example-Convolution.xml
20-5-1-3-Convolution-Integral.xml
20-5-1-4-Commutativity-of-Convolution.xml
20-5-2-1-The-convolution-theorem.xml
20-5-2-2-Inverse-Laplace-with-Convolution-Theorem.xml
20-5-3-1-Convolution-Exercises.xml
20-5-3-2-Convolution-Theorem-Exercises.xml
Course_quiz_20_6-transfer-functions
20-6-1-1-Transfer-functions-and-linear-systems.xml
20-6-1-2-Transfer-Function-Exercise.xml
20-6-2-1-Modelling-linear-systems-by-transfer-functions.xml
20-6-2-2-Engineering-Example---System-response.xml
Course_quiz_22_1-basic-concepts-of-eigenvalues-and-eigenvectors
22-1-1-1-Basic-concepts.xml
22-1-1-2-Evaluating-determinants.xml
22-1-1-3-Systems-of-linear-equations.xml
22-1-1-4-Basic-results-in-linear-algebra.xml
22-1-1-5-A-simple-eigenvalue-problem.xml
22-1-2-1-General-eigenvalue-problems.xml
22-1-2-2-Example-1-2-x-2-matrix.xml
22-1-2-3-Example-2-3-x-3-matrix.xml
22-1-2-4-Eigenvalues-and-eigenvectors-of-a-2x2-matrix.xml
22-1-2-5-Eigenvalues-and-eigenvectors-of-a-2x2-matrix-(NOT-IN-QUIZ).xml
22-1-2-6-Eigenvalues-and-eigenvectors-of-a-3x3-matrix.xml
22-1-2-7-Eigenvalues-and-eigenvectors-of-a-3x3-matrix.xml
22-1-3-1-Properties-of-eigenvalues-and-eigenvectors.xml
22-1-3-2-Multiplying-diagonal-matrices.xml
22-1-4-1-Exercises.xml
22-1-4-2-Solutions.xml
Course_quiz_22_2-applications-of-eigenvalues-and-eigenvectors
22-2-1-1-Diagonalization-with-distinct-evalues.xml
22-2-1-2-Writing-down-products.xml
22-2-1-3-Matrix-powers.xml
22-2-1-4-Powers-of-matrices.xml
22-2-1-5-Powers-of-Matrices.xml
22-2-1-6-Finding-modal-matrices.xml
22-2-2-1-Systems-of-first-order-differential-equations.xml
22-2-2-2-Systems-of-1st-order-DEs.xml
22-2-2-3-Using-matrices-for-systems-of-1st-order-diff.xml
22-2-2-4-Writing-system-of-1st-order-lin-eqs-in-matrix-form.xml
22-2-2-5-More-on-matrices-for-systems-of-1st-order-diff.xml
22-2-3-1-Systems-of-second-order-differential-equations.xml
22-2-3-2-Substituting-and-solve-2nd-order-diff-eqs.xml
22-2-4-1-1st-order-diff-Exercise-(a).xml
22-2-4-2-1st-order-diff-Exercise-(b).xml
22-2-4-3-1st-order-diff-Exercise-(c).xml
22-2-4-4-1st-order-diff-Exercise-(d).xml
22-2-4-5-2nd-order-diff-exercises.xml
Course_quiz_22_3-repeated-eigenvalues-and-symmetric-matrices
22-3-1-1-Matrices-with-repeated-eigenvalues.xml
22-3-1-2-Non-diagonalisable-3x3-task.xml
22-3-1-3-Diagonalisable-3x3-task.xml
22-3-1-4-Final-key-point.xml
22-3-2-1-Symmetric-matrices.xml
22-3-2-2-Pick-symmetric-matrices.xml
22-3-2-3-About-complex-eigenvalues.xml
22-3-2-4-Complex-conjugate-2x2-eigentask.xml
22-3-2-5-Real-symmetric-matrices-have-real-eigenvalues.xml
22-3-2-6-Symmetric-2x2-eigentask.xml
22-3-2-7-Orthogonal-vectors.xml
22-3-2-8-Eigvecs-of-3x3-symmetric-are-orthogonal.xml
22-3-2-9-General-theory.xml
22-3-2-10-Diagonalization-of-symmetric-matrices.xml
22-3-2-11-Orthogonal-matrices.xml
22-3-2-12-Symmetric-matrices-are-orthogonally-diagonalizable.xml
22-3-2-13-3x3-Symmetric-Eigentask.xml
22-3-2-14-Hermitian-matrices.xml
Course_quiz_23_1-periodic-functions
23-1-1-1-Introduction.xml
23-1-2-1-Periodic-functions.xml
23-1-2-2-Task-Amp,-period-and-freq.xml
23-1-2-3-Task-Amp,-period-and-freq.xml
23-1-2-4-Harmonics.xml
23-1-2-5-Nonsinusoidal-periodic-functions.xml
23-1-2-6-Task-define-fnc-from-graph.xml
23-1-2-7-Example.xml
23-1-Introduction.xml
Course_quiz_23_2-representing-periodic-functions
23-2-1-1-Introduction.xml
23-2-2-1-Functions-of-period-2-pi.xml
23-2-2-2-Orthogonality-properties-of-sinusoids.xml
23-2-2-3-int-sin-nt-cos-nt.xml
23-2-2-4-Orthogonality-properties-of-sinusoids-p2.xml
23-2-2-5-int-sin-nt-cos-nt.xml
23-2-2-6-Orthogonality-Relation.xml
23-2-2-7-int-sin-nt-sin-mt-(copy).xml
23-2-2-8-Orthogonality-Relation-2.xml
23-2-3-1-Calculation-of-Fourier-coefficients.xml
23-2-3-2-Calculation-of-Fourier-coefficients---part-2.xml
23-2-4-1-Examples-of-Fourier-series.xml
23-2-4-2-FS-of-square-wave.xml
23-2-4-3-Examples-of-Fourier-series.xml
23-2-5-1-Fourier-series-for-functions-of-general-period.xml
23-2-5-2-FS-coeff-example.xml
23-2-5-3-FS-saw-tooth-example.xml
23-2-5-4-FS-task.xml
23-2-5b-fs-ex1.xml
23-2-6-1-fs-ex1-(new-question-version).xml
23-2-6-1-fs-ex1-v2.xml
23-2-6-2-fs-ex2-(new-question-version).xml
23-2-6-2-fs-ex2-v2.xml
23-2-6-3-fs-ex4-(new-question-version).xml
23-2-6-3-fs-ex4-v2.xml
23-2-Introduction.xml
Course_quiz_23_3-even-and-odd-functions
23-3-1-1-Even-and-odd-functions.xml
23-3-1-2-Task_1a-period-E,O,-or-N.xml
23-3-1-3-Task_1b-period-E,O,-or-N.xml
23-3-1-4-Even-and-odd-functions-(copy).xml
23-3-1-5-Task_2a.xml
23-3-1-6-Task_2b.xml
23-3-1c-key-point.xml
23-3-2-1-Fourier-series-implications.xml
23-3-2-2-Fourier-series-implications---examples.xml
23-3-2-3-terms-in-F-Series.xml
23-3-2-4-Confirm-Fourier-series-result.xml
23-3-Introduction.xml
Course_quiz_23_4-convergence
23-4-1-1-Convergence-of-a-Fourier-series.xml
23-4-1-2-Convergence-of-a-Fourier-series.xml
23-4-1-3-Example.xml
23-4-1-4-Example.xml
23-4-2-1-FS-expression-1.xml
23-4-2-2-FS-expression-2.xml
23-4-2-3-FS-expression-3.xml
23-4-Introduction.xml
Course_quiz_23_5-half-range-series
23-5-1-1-Half-range-Fourier-series.xml
23-5-1-2.xml
23-5-1-3-Half-range-Fourier-series.xml
23-5-1-4-Task-1-cosine-series.xml
23-5-2-1-ex1-sine-series.xml
23-5-2-2-ex2-sine-series.xml
23-5-2-3-ex3a-cosine-series.xml
23-5-2-4-ex3b-sine-series.xml
23-5-5-ex4-cosine-series.xml
23-5-Introduction.xml
Course_quiz_23_6-the-complex-form
23-6-1-1-Complex-exponential-form-of-a-Fourier-series.xml
23-6-2-1-Revision-of-the-exponential-form-of-a-complex-number.xml
23-6-2-2-Task-1a-trig-and-Cartesian-form.xml
23-6-2-3-Revision-of-the-exponential-form-of-a-complex-number.xml
23-6-2-4-Revision-of-the-exponential-form-of-a-complex-number.xml
23-6-2-5-Revision-of-the-exponential-form-of-a-complex-number.xml
23-6-3-1-Properties-of-the-complex-Fourier-coefficients.xml
23-6-3-2-Ex-Properties-of-the-complex-Fourier-coefficients.xml
23-6-3-4-Complex-FS-Task-3.xml
23-6-4-1-Parseval’s-theorem.xml
23-6-4-2-Parseval’s-theorem-in-FS-coeffs.xml
23-6-4-3-Parseval’s-theorem-example.xml
23-6-5-Complex-Fourier-Series-Exercises.xml
23-6-Introduction.xml
Course_quiz_23_7-an-application-of-fourier-series
23-7-1-1-Modelling-vibration-by-differential-equation.xml
23-7-2-1-Applying-Fourier-series-to-solve-a-differential-equation.xml
Course_quiz_25_1-partial-differential-equations
25-1-1-1-Introduction-to-PDEs.xml
25-1-1-2-Simple-Differential-Equation.xml
25-1-1-3-Second-order,-homogeneous,-constant-coeff-ODES.xml
25-1-1-4-Auxiliary-equation-Exercise-1.xml
25-1-1-5-Auxiliary-equation-Exercise-2.xml
25-1-1-6-General-solutions-of-two-ODEs.xml
25-1-2-1-Partial-differential-equations.xml
25-1-2-2-PDE-Solution-Testing.xml
25-1-2-3-Diffusion-and-Wave-Equation.xml
25-1-2-4-Three-PDEs-of-general-interest.xml
Course_quiz_25_2-applications-of-pdes
25-2-1-1-Wave-Equation.xml
25-2-1-2-Wave-Equation.xml
25-2-2-1-Heat-conduction-equation.xml
25-2-2-2-Heat-conduction-equation.xml
25-2-3-1-Transmission-line-equations.xml
25-2-3-2-Transmission-line-equations.xml
25-2-3-3-Transmission-line-equations.xml
25-2-4-Laplace’s-equation.xml
25-2-5-Other-important-PDEs-in-science-and-engineering.xml
Course_quiz_25_3-solution-using-separation-of-variables
25-3-1-1-Solution-of-important-PDEs.xml
25-3-1-2-Solution-of-important-PDEs.xml
25-3-1-3-Solution-of-important-PDEs.xml
25-3-1-4-Solution-of-important-PDEs.xml
25-3-2-1-Method-of-separation-of-variables---general-approach.xml
25-3-2-2-Method-of-separation-of-variables---general-approach.xml
25-3-2-3-Method-of-separation-of-variables---general-approach.xml
25-3-2-4-Method-of-separation-of-variables---general-approach.xml
25-3-3-1-Method-of-separation-of-variables---specific-solutions.xml
25-3-3-2-Method-of-separation-of-variables---specific-solutions.xml
25-3-3-3-Heat-conduction-through-a-furnace-wall.xml
Course_quiz_25_4-solution-using-fourier-series
25-4-1-1-Solutions-involving-infinite-Fourier-series.xml
25-4-1-2-Solutions-involving-infinite-Fourier-series.xml
25-4-1-3.xml
25-4-1-4.xml
25-4-1-5.xml
25-4-1-6.xml
25-4-1-7.xml
Course_quiz_27_1-introduction-to-surface-integrals
27-1-1-An-Example-of-a-Surface-Integral.xml
27-1-2-Single-and-Double-Integrals.xml
27-1-3-Inner-and-Outer-Integrals.xml
27-1-4-1-Integration-Over-Rectangular-Areas-Information.xml
27-1-4-2-Integration-Over-Rectangular-Areas-Task.xml
27-1-4-3-Integration-Over-Rectangular-Areas-Exercise.xml
27-1-4-4-Integration-Over-Rectangular-Areas-Exercise.xml
27-1-4-5-Integrations-Over-Rectangular-Areas-Exercise.xml
27-1-4-6-Integration-Over-Rectangular-Areas-Exercise.xml
27-1-4-7-Integration-Over-Rectangular-Areas-Exercise.xml
27-1-4-8-Integration-Over-Rectangular-Areas-Exercise.xml
27-1-5-1-Special-Cases-of-Double-Integrals-Information.xml
27-1-5-2-Special-Cases-of-Double-Integrals-Task.xml
27-1-5-3-Special-Cases-of-Double-Integrals-Exercise.xml
27-1-5-4-Special-Cases-of-Double-Integrals-Exercise.xml
27-1-5-5-Special-Cases-of-Double-Integrals-Exercise.xml
27-1-5-6-Special-Cases-of-Double-Integrals-Exercise.xml
27-1-6-1-Applications-of-Surface-Integration-Over-Rectangular-Areas-Information.xml
27-1-6-2-Applications-of-Surface-Integration-Over-Rectangular-Areas-Task.xml
27-1-6-3-Areas-and-Moments-Exercise.xml
27-1-6-4-Areas-and-Moments-Exercise.xml
27-1-6-5-Areas-and-Moments-Exercise.xml
Course_quiz_27_2-multiple-integrals-over-non-rectangular-regions
27-2-1-1-Functions-as-Limits-of-Integration-Information.xml
27-2-1-2-Functions-as-Limits-of-Integration-Task.xml
27-2-1-3-Functions-as-Limits-of-Integration-Task.xml
27-2-1-4-Functions-as-Limits-of-Integration-Exercise.xml
27-2-1-5-Functions-as-Limits-of-Integration-Exercise.xml
27-2-1-6-Splitting-the-Region-of-Integration-Information.xml
27-2-2-1-Order-of-Integration-Information.xml
27-2-2-2-Order-of-Integration-Task.xml
27-2-3-1-Polar-Coordinates-Information.xml
27-2-3-2-Finding-Surface-Integrals-With-Polar-Coordinates-Information.xml
27-2-4-1-Force-on-a-Dam-Information.xml
27-2-4-2-Centre-of-Pressure-Information.xml
27-2-5-1-Volume-of-Liquid-Engineering-Example.xml
27-2-5-2-Integration-Over-Quadrilateral-Exercise.xml
27-2-5-3-Integration-Over-Triangle-Exercise.xml
27-2-5-4-Changing-Order-of-Integration-Exercise.xml
27-2-5-5-Polar-Coordinates-Exercise.xml
Course_quiz_27_3-volume-integrals
27-3-1-1-Example-of-volume-integral-mass-of-water-in-a-reservoir.xml
27-3-2-1-Evaluating-triple-integrals.xml
27-3-2-2-Example.xml
27-3-2-3-Example-2.xml
27-3-2-4-Example-3.xml
27-3-2-5-Example-4.xml
27-3-2-6-Order-of-integrals.xml
27-3-2-7-Example-5.xml
27-3-2-8-task-triple-integral-1.xml
27-3-2-9-exercise-triple-int-1.xml
27-3-2-10-volume-of-prism-task.xml
27-3-2-11-volume-of-quarter-cylinder-exercise.xml
27-3-3-1.xml
27-3-3-2-exercise-quadruple-integral-1.xml
27-3-4-1-mass-and-volume.xml
27-3-4-2-mass-of-water-in-a-reservoir.xml
27-3-4-3-centre-of-mass.xml
27-3-4-4-Example-centre-of-mass-1.xml
27-3-4-5-moment-of-inertia.xml
27-3-4-6-moment-of-inertia-example.xml
27-3-4-7-engineering-example.xml
27-3-4-8-prism-CoM-and-moment-of-inertia-task.xml
27-3-4-9-Quarter-Cylinder-MoI-and-CoM-exercise.xml
27-3-4-10-cube-density.xml
Course_quiz_27_4-changing-coordinates
27-4-1-1-Changing-Variables-in-Multiple-Integrals.xml
27-4-2-1-The-Jacobian.xml
27-4-2-2-Example-1-Find-the-area-of-the-circle-of-radius-R-.xml
27-4-2-3-Diamond-and-Square-Example.xml
27-4-2-4-Task-Transformation.xml
27-4-3-1-Jacobian-in-Three-Variables.xml
27-4-3-2-Polar-Coordinates-Example.xml
27-4-3-3-Parallelepiped-Example.xml
27-4-3-4-jacobian-transformation-task.xml
27-4-4-1-Engineering-example.xml
27-4-4-2-Integral-over-Cone.xml
27-4-4-3-Volume-Between-Surfaces.xml
27-4-4-4-Volume-of-a-Torus.xml
27-4-4-5-Jacobian-of-Transformation.xml
Course_quiz_28_1-background-to-vector-calculus
28-1-1-1-Recap-of-functions-of-several-variables-and-partial-derivatives.xml
28-1-2-2-Vector-functions-of-a-variable-and-first-examples.xml
28-1-2-3-vector-function-of-1-variable-rules-and-examples.xml
28-1-2-4-Simple-Derivative-of-Vector-Function.xml
28-1-2-5-particle-circular-motion.xml
28-1-2-6-Unknown-scalar-in-vector-calculus-equation.xml
28-1-3-7-intro-to-scalar-fields.xml
28-1-3-8-contours-of-scalar-fields.xml
28-1-4-9-Intro-to-Vector-fields.xml
28-1-4-10-Exercise-on-scalar-and-vector-fields.xml
Course_quiz_28_2-differential-vector-calculus
28-2-1-1-The-gradient-of-a-scalar-field.xml
28-2-1-2-Basic-grad-question.xml
28-2-1-3-Exercise-on-grad-of-scalar-fields.xml
28-2-1-4-grad-of-2-d-scalar-field.xml
28-2-1-5-grad-normal-and-rate-of-change-question.xml
28-2-1-6-unit-vector-normal-to-sphere.xml
28-2-1-7-Angle-between-curves-by-normal-vector.xml
28-2-2-8-The-divergence-of-a-vector-field.xml
28-2-2-9-divergence-of-vector-field.xml
28-2-2-10-second-vector-field-divergence-question.xml
28-2-2-11-Third-vector-field-divergence-question.xml
28-2-3-12-Curl-of-a-vector-field.xml
28-2-3-13-curl-of-2-d-vector-field.xml
28-2-3-14-exercise-on-2-d-vector-field-curl.xml
28-2-3-15-Curl-of-3-d-vector-fields.xml
28-2-3-16-Velocity-and-curl-of-a-river.xml
28-2-3-17-curl-of-emptying-bathroom-sink.xml
28-2-4-18-The-Laplacian.xml
28-2-5-19-Examples-involving-grad,-div,-curl-and-the-Laplacian.xml
28-2-6-20-Identities-involving-grad,-div-and-curl.xml
28-2-6-21-task-on-various-vector-field-calculations.xml
28-2-6-22-scalar-field-calculation-task.xml
28-2-6-23-scalar-vector-or-undefined-quantity-exercise.xml
Course_quiz_28_3-orthogonal-curvilinear-coordinates
28-3-1-1-Orthogonal-curvilinear-coordinates.xml
28-3-2-2-Vector-derivatives-in-orthogonal-coordinates.xml
28-3-3-3-Cylindrical-polar-coordinates.xml
28-3-3-4-grad-in-cylindrical-polar-coordinates-simple.xml
28-3-3-5-grad-in-cylindrical-polar-coordinates-chain-rule.xml
28-3-3-6-div-in-cylindrical-polar-coordinates.xml
28-3-3-7-curl-in-cylindrical-polar-and-cartesian-coordinates.xml
28-3-3-8-cylindrical-polar-coordinates-div-and-curl.xml
28-3-3-9-curl-of-gradient-is-zero.xml
28-3-4-10-Spherical-polar-coordinates.xml
28-3-4-11-spherical-polar-coordinates-grad-questions.xml
28-3-4-12-Spherical-polar-coordinates-div-and-curl-first-exercise.xml
28-3-4-13-Spherical-polar-coordinates-div-and-curl-second-exercise.xml
28-3-4-14-Spherical-polar-coordinates-div-of-curl-of-F.xml
Course_quiz_29_1-line-integrals-involving-vectors
29-1-1-1-Line-integrals-intro.xml
29-1-1-2-simple-line-integral-task.xml
29-1-1-3-line-integral-with-constant-scalar-field.xml
29-1-1-4-line-integral-with-trig-scalar-field.xml
29-1-2-5-Line-integrals-of-scalar-products.xml
29-1-2-6-scalar-integral-of-vector-field-task.xml
29-1-2-7-further-examples-on-scalar-line-integrals.xml
29-1-2-8-Further-scalar-line-integral-question.xml
29-1-2-9-assorted-line-integrals-exercise.xml
29-1-2-10-scalar-integral-and-closed-path-exercise.xml
29-1-2-11-conservative-scalar-integral-exercise.xml
29-1-2-12-line-integrals-of-grad-and-curl-of-a-field.xml
29-1-3-13-Conservative-vector-fields.xml
29-1-3-14-Conservative-vector-field-or-not.xml
29-1-3-15-conservative-vector-field-properties-for-line-integral.xml
29-1-3-16-More-fundamental-theorem-of-line-integrals-questions.xml
29-1-4-17-Vector-line-integrals.xml
29-1-4-18-vector-line-integral-of-a-function.xml
29-1-4-19-vector-line-integral.xml
29-1-4-20-vector-line-integral-exercise.xml
29-1-4-21-variants-of-vector-line-integrals-exercise-(unfinished).xml
Course_quiz_29_2-surface-and-volume-integrals
29-2-1-1-Surface-integrals-involving-vectors.xml
29-2-1-2-surface-integral-of-trapezium-on-Oxy-plane.xml
29-2-1-3-triangle-surface-integral.xml
29-2-1-4-Surface-integral-of-unit-cube.xml
29-2-1-5-Surface-Integral-of-div-of-vector-field.xml
29-2-2-6-Integrating-a-vector-field.xml
29-2-2-7-Magnetic-Flux-Engineering-Example.xml
29-2-3-8-Current-Continuity-Equation-Engineering-Example.xml
29-2-3-9-Vector-field-dot-prod-surface-Integral.xml
29-2-3-10-Vector-field-cross-product-surface-Integral.xml
29-2-3-11-Vector-field-div-dot-prod-surface-Integral.xml
29-2-3-12-Vector-field-cross-product-twice-surface-Integral.xml
29-2-3-13-spherical-polar-coordinates-surface-Integral.xml
29-2-4-14-Intro-to-Volume-integrals-involving-vectors.xml
29-2-4-15-spherical-polar-coordinates-div-surface-Integral.xml
29-2-4-16-Vector-field-basic-volume-integral.xml
29-2-4-17-div-Vector-field-volume-integral-more-advanced.xml
29-2-4-18-Volume-Integrals-Involving-Vectors-Continued.xml
29-2-4-19-Vector-field-volume-integral.xml
29-2-4-20-Vector-field-grad-volume-integral.xml
29-2-4-21-Vector-field-cross-product-volume-integral.xml
Course_quiz_29_3-integral-vector-theorems
29-3-1-1-Stokes-Theorem-Information.xml
29-3-1-2-Stokes-Theorem-Task.xml
29-3-1-3-Stokes-Theorem-Exercise.xml
29-3-1-4-Stokes-Theorem-Exercise.xml
29-3-1-5-Stokes-Theorem-Triangle-Exercise.xml
29-3-2-1-Gauss’-Theorem.xml
29-3-2-2-Gauss’-theorem-engineering-examples.xml
29-3-2-3-Gauss-Theorem-Task.xml
29-3-2-4-Gauss-Theorem-for-a-cuboid.xml
29-3-2-5-Broken-Gauss-Theorem-in-cylindrical-polar-coordinates.xml
29-3-2-6-Gauss-Theorem-Tetrahedron-Exercise.xml
29-3-3-1-Green’s-Identities-(3D).xml
29-3-3-2-Green’s-Theorem-in-the-Plane.xml
29-3-3-3-Green-s-Theorem-in-the-Plane-Exercise.xml
29-3-3-4-Green-s-Identities-Exercise.xml
29-3-3-5-Area-Theorem-Exercise-(unfinished).xml
Course_quiz_35_1-sets
35-1-1-1-Sets-definition-and-examples.xml
35-1-1-2-Subsets.xml
35-1-1-3-Subsets-exercise.xml
35-1-1-4-The-empty-set,-the-universal-set,-the-complement-of-a-set.xml
35-1-2-1-Venn-diagrams.xml
35-1-2-2-Venn-diagram-example.xml
35-1-3-1-The-intersection-of-sets.xml
35-1-3-2-Examples-intersection-of-sets.xml
35-1-3-3-Intersection-exercise.xml
35-1-3-4-Union-of-sets.xml
35-1-3-5-Union,-intersection-exercise-1.xml
35-1-3-6-Union,-intersection-exercise-2.xml
35-1-4-1-Complement,-empty-set-exercise-(exercise-1).xml
35-1-4-2-(not-in-quiz)-Union,-intersection-exercise-(Exercise-2-(a),(b),(c)).xml
35-1-4-3-(not-in-quiz)-Union,-intersection-exercise-(Exercise-2-(d),(e),(f)).xml
35-1-4-4-List-elements-of-a-set-described-in-words.xml
35-1-4-5-Complement,-union,-intersection-exercise-(Exercise-4(a)(b)(e)(h)(i)).xml
35-1-4-6-Complement,-union,-intersection-exercise-(Exercise-4(c)(d)(f)(g))-(NOT-IN-QUIZ).xml
35-1-4-7-Complement-of-union,-intersection.xml
35-1-4-8-Venn-diagrams-exercise-(Exercise-5).xml
Course_quiz_35_2-elementary-probability
35-2-1-1-Introductory-Probability.xml
35-2-1-2-Sample-space-of-a-single-coin-toss.xml
35-2-1-3-Equally-likely-outcomes.xml
35-2-1-4-Everyday-sample-spaces.xml
35-2-1-5-Tree-diagram-and-number-of-possible-outcomes.xml
35-2-1-6-Events.xml
35-2-1-7-Ordered-outcomes-of-a-triple-coin-toss.xml
35-2-1-8-Shock-and-scratch-resistant-paint.xml
35-2-1-9-Complement.xml
35-2-2-1-Definitions-of-Probability.xml
35-2-2-2-Equi-probable-spaces-and-the-principle-of-equally-likely-outcomes.xml
35-2-2-3-Defining-probability.xml
35-2-2-4-The-complement-rule.xml
35-2-2-5-Determining-probabilities-in-equi-probable-spaces.xml
35-2-2-6-Utility-of-the-complement.xml
35-2-2-7-Using-the-complement.xml
35-2-3-1-Discrete-and-continuous-random-variables.xml
35-2-3-2-Dice-throwing-experiment.xml
35-2-3-3-Defective-articles-(NOT-IN-QUIZ).xml
35-2-3-4-Testing-propeller-shafts.xml
Course_quiz_35_3-addition-and-multiplication-laws-of-probability
35-3-1-1-The-Addition-Law.xml
35-3-1-2-Mutually-Exclusive-or-Not-(edited).xml
35-3-1-2-Mutually-Exclusive-or-Not-.xml
35-3-1-3-Addition-Law-of-Probability.xml
35-3-1-4-Balls-from-a-bag.xml
35-3-1-5-Circuits-using-probability.xml
35-3-1-6-Exercises-a).xml
35-3-1-7-Exercises-b-+c.xml
35-3-2-1-Conditional-probability---dependent-events.xml
35-3-3-1-Independent-Events.xml
35-3-3-2-Independent-or-Not-(edited).xml
35-3-3-2-Independent-or-Not-.xml
35-3-3-3-Laws-of-Elementary-Probability.xml
35-3-3-4-Exercise-on-Parallel-circuits.xml
35-3-3-5-Exercise-1.xml
35-3-3-5-Exercises-1-3.xml
35-3-3-6-Exercise-2.xml
35-3-3-7-Exercise-4.xml
35-3-3-7-Exercise-6.xml
35-3-3-8-Exercise-5.xml
Course_quiz_35_4-total-probability-and-bayes’-theorem
35-4-1-1-The-theorem-of-total-probability.xml
35-4-2-1-Bayes-theorem.xml
35-4-3-1-Special-cases.xml
35-4-3-2-Bayes-theorem-special-case.xml
35-4-3-3-Jobs.xml
35-4-4-1-Four-coin-tosses.xml
35-4-4-2-Duration-of-employment.xml
35-4-4-3-Indepent-events-and-complements.xml
35-4-4-4-Independent-vs-mutually-exclusive-events.xml
35-4-4-5-Current-flow-through-relays-(NOT-IN-QUIZ).xml
35-4-4-6-Defective-items-in-a-batch-(NOT-IN-QUIZ).xml
35-4-4-7-Conditional-outcomes-in-a-coin-toss.xml
35-4-4-8-Defective-items-from-a-production-line.xml
Course_quiz_36_1-describing-data-
36-1-1-1-Introduction-to-statistics.xml
36-1-1-2-Variables,-population,-sample.xml
36-1-2-1-Introduction-to-descriptive-statistics.xml
36-1-3-1-Frequency-tables-Categorical-data.xml
36-1-3-2-Frequency-tables-Discrete-data.xml
36-1-3-3-Frequency-tables-Continuous-data.xml
36-1-4-1-Graphical-representations-Bar-charts.xml
36-1-4-2-Graphical-representations-Pie-charts.xml
36-1-4-3-Pie-charts-exercise.xml
36-1-4-4-Graphical-representations-Histograms.xml
36-1-4-5-Frequency-table,-histogram.xml
36-1-4-6-Histogram-Example.xml
36-1-5-1-Location-and-spread.xml
36-1-5-2-Measures-of-location-and-Mean.xml
36-1-5-3-Mean-exercise.xml
36-1-5-4-Median-and-quartiles.xml
36-1-5-5-Compute-median,-IQR.xml
36-1-5-6-Cumulative-frequency-curve-or-ogive.xml
36-1-5-7-Mode-and-comparison.xml
36-1-5-8-Measures-of-spread.xml
36-1-5-9-Variance-and-standard-deviation.xml
36-1-5-10-Calculate-variance,-standard-deviation.xml
36-1-5-11-Variance-and-standard-deviation-calculations.xml
36-1-5-12-Further-comments.xml
36-1-5-13-Calculate-mean,-variance,-sd.xml
36-1-6-1-Exercise-1---Calculate-mean,-median,-sd,-IQR.xml
36-1-6-2-Exercise-1-(continued)---Calculate-mean,-median,-sd,-IQR.xml
36-1-6-3-Exercise-2---Frequency-table,-mean,-sd.xml
36-1-6-4-Exercise-3---Average-over-2-samples.xml
Course_quiz_36_2-exploring-data
36-2-1-1-(for-Edinburgh)-Exploring-data-introduction.xml
36-2-1-1-Exploring-data-introduction.xml
36-2-1-2-(not-used-for-Edinburgh)-Mid-spread,-high-spread-and-low-spread-for-a-distribution-exercise.xml
36-2-1-3-(not-used-for-Edinburgh)-The-steam-and-leaf-diagram.xml
36-2-1-4-(not-used-for-Edinburgh)-steam-and-leaf-section-task1.xml
36-2-1-5-(for-Edinburgh)-The-box-and-whisker-diagram.xml
36-2-1-5-The-box-and-whisker-diagram.xml
36-2-2-1-Outliers.xml
36-2-2-2-(for-Edinburgh)-Outliers-task.xml
36-2-2-2-Outliers-task.xml
36-2-2-3-Criteria-for-rejecting-outliers.xml
36-2-2-4-outliers-task2-with-MCQ.xml
36-2-3-1-(for-Edinburgh)-Skewness,-gaps-and-multiple-peaks.xml
36-2-3-1-Skewness,-gaps-and-multiple-peaks.xml
36-2-3-2-Exercises-task1.xml
36-2-3-3-(for-Edinburgh)-Exercises-Task-2.xml
36-2-3-3-Exercises-Task-2.xml
36-2-3-4-(for-Edinburgh)-Exercises-task-3.xml
36-2-3-4-Exercises-task-3.xml
Course_quiz_37_1-discrete-probability-distributions
37-1-1-1-Discrete-Probability-Distributions.xml
37-1-1-2-Permutations-of-ABCD.xml
37-1-1-3-General-permutations.xml
37-1-1-4-Example-permutations-take-r-at-a-time.xml
37-1-1-5-General-permutation-take-r-at-a-time.xml
37-1-1-6-Example-permutation-take-two-at-a-time.xml
37-1-1-7-Combinations.xml
37-1-1-8-Example-Car-registrations.xml
37-1-1-9-Morse-Code.xml
37-1-2-1-Random-variables.xml
37-1-2-2-Discrete-random-variables.xml
37-1-2-3-Example-turbo-generator.xml
37-1-3-1-Mean-of-a-discrete-probability-distribution.xml
37-1-3-2-Variance-of-a-discrete-probability-distribution.xml
37-1-4-1-Traffic-example.xml
37-1-4-2-three-coin-toss.xml
37-1-5-1-Teams-of-workers.xml
37-1-5-2-Factory-machines.xml
37-1-5-3-Factory-machines-2.xml
37-1-5-4-Random-number-generator.xml
37-1-5-5-clock-cycle.xml
37-1-5-6-Target-(NOT-IN-QUIZ).xml
37-1-10-Resistor-boxes.xml
37-1-Introduction.xml
Course_quiz_37_2-the-binomial-distribution
(not-in-quiz)-37-2-3-4-Machine-production-within-specification.xml
(not-in-quiz)-37-2-3-8-Number-of-students-who-like-maths.xml
(not-in-quiz)-37-2-3-9-A-machine-that-has-two-drive-belts.xml
(not-in-quiz)-37-2-3-11-Seven-batches-of-articles-are-manufactured.xml
(not-in-quiz)-37-2-3-12-A-service-engineer-can-be-called.xml
(not-in-quiz)-37-2-3-13-Five-machines-in-a-factory.xml
(not-in-quiz)-37-2-3-14-A-company-buys-mass-produced-articles-from-a-supplier.xml
37-2-1-1-Using-the-binomial-model.xml
37-2-1-The-binomial-model.xml
37-2-2-1-Dice-roll-and-binomial-distribution.xml
37-2-2-Expectation-and-variance-of-the-binomial-distribution.xml
37-2-3-1-Tyre-burst-mountain-bike-rider.xml
37-2-3-2-A-digital-transmission-channel.xml
37-2-3-3-Choosing-randomly-an-answer-in-an-exam.xml
37-2-3-5-Probability-that-a-machine-develops-a-fault-(NOT-IN-QUIZ).xml
37-2-3-6-A-terminal-that-requires-attention.xml
37-2-3-10-A-machine-is-built-to-make-mass-produced-items.xml
37-2-3-12-A-service-engineer-can-be-called-(NOT-IN-QUIZ).xml
Course_quiz_37_3-the-poisson-distribution
(not-in-quiz)-37-3-3-2-The-Poisson-Process-Polluted-water.xml
(not-in-quiz)-37-3-3-7-The-Poisson-Process-Machine-breakdowns.xml
(not-in-quiz)-37-3-3-8-The-Poisson-Process-Absent-staff.xml
(not-in-quiz)-37-3-3-10-The-Poisson-Process-Factory-tools.xml
37-3-1-The-Poisson-approximation-to-the-binomial-distribution.xml
37-3-2-1-The-Poisson-probabilities.xml
37-3-2-The-Poisson-Distribution.xml
37-3-3-1-The-Poisson-Process-Large-metal-sheets.xml
37-3-3-3-The-Poisson-Process-Vehicle-arrival.xml
37-3-3-4-The-Poisson-Process-Defective-transistors.xml
37-3-3-5-The-Poisson-Process-Defective-articles.xml
37-3-3-6-The-Poisson-Process-Book-page-misprints.xml
37-3-3-9-The-Poisson-Process-Machine-failures.xml
37-3-3-Expectation-and-variance-of-the-Poisson-distribution.xml
Course_quiz_38_1-continuous-probability-distributions
38-1-1-1-Continuous-probability-distributions.xml
38-1-1-2-Practical-Example.xml
38-1-1-3-Probability-Density-Functions.xml
38-1-1-4-Basic-Continuous-Probability.xml
38-1-1-5-The-Cumulative-Distribution-Function.xml
38-1-1-6-Cumulative-Distribution-Function.xml
38-1-1-7-Example-2.xml
38-1-2-1-Basic-Mean-and-Variance.xml
38-1-2-1-Mean-and-Variance-of-a-Continuous-Distribution.xml
38-1-2-2-Mileage-Exercise.xml
38-1-2-3-Darts.xml
38-1-2-4-Find-k.xml
38-1-2-5-Find-k2-(short).xml
38-1-2-5-Find-k2.xml
38-1-2-8-Important-Continous-Distributions.xml
Course_quiz_38_2-the-uniform-distribution
38-2-1-1-The-uniform-distribution.xml
38-2-1-2-Find-the-mean,-standard-deviation-and-cumulative-distribution-function.xml
38-2-2-1-Expected-net-profit.xml
38-2-2-2-Exercise-2-Weight-of-packages-(short).xml
38-2-2-2-Exercise-2-Weight-of-packages.xml
Introduction.xml
Course_quiz_38_3-the-exponential-distribution
38-3-1-1-The-exponential-distribution.xml
38-3-1-2-Car-cooling-systems.xml
38-3-2-1-Barges-on-a-waterway.xml
38-3-2-2-Properties-of-the-density-function-(not-in-quiz).xml
38-3-3-1-Plots-of-the-probability-distribution-function.xml
38-3-3-2-Expectation,-variance,-median-and-mode.xml
38-3-3-3-Bus-stop.xml
38-3-3-4-Radon-222.xml
Course_quiz_39_1-the-normal-distribution
39-1-1-1-Introduction-and-the-CLT.xml
39-1-2-1-The-Standard-Normal-Distribution.xml
39-1-2-2-Standard-Normal-Transformation.xml
39-1-3-1-Probabilities-and-the-Standard-Normal-Distribution.xml
39-1-3-2-Standard-Normal-Table.xml
39-1-4-1-Calculating-Other-Probabilites.xml
39-1-4-2-Calculating-Other-Probabilities.xml
39-1-5-1-The-Cumulative-Distribution-Function.xml
39-1-5-2-Exercises---Question-1.xml
39-1-5-3-Exercises---Question-2.xml
39-1-6-1-Applications-of-the-Normal-Distribution---Simple-Example.xml
39-1-6-2-Applications-Simple-Question.xml
39-1-6-3-Applications-of-the-Normal-Distribution---Complex-Examples.xml
39-1-6-4-Applications-Harder-Question.xml
39-1-7-1-Probability-Intervals---Standard-Normal-Distribution.xml
39-1-7-2-Probability-Intervals-Exercise-1.xml
39-1-7-3-Probability-Intervals-Exercise-2.xml
39-1-8-1-Probability-Intervals---General-Normal-Distribution.xml
39-1-8-2-Normal-Distribution-Probability-Interval-Exercise.xml
39-1-9-1-The-Standard-Normal-Probability-Table-(copy1).xml
39-1-9-1-The-Standard-Normal-Probability-Table-(copy2).xml
39-1-9-1-The-Standard-Normal-Probability-Table-(copy3).xml
39-1-9-1-The-Standard-Normal-Probability-Table.xml
Course_quiz_41_1-statistical-testing
41-1-1-1-Types-of-statements.xml
41-1-2-2-Types-of-errors.xml
Course_quiz_41_2-tests-concerning-a-single-sample
41-2-1-1-Tests-of-proportion.xml
41-2-2-2-Tests-for-population-means.xml
41-2-2-3-General-Comments.xml
Course_quiz_41_3-tests-concerning-two-samples
41-3-1-1-Two-independent-populations-each-with-a-known-variance.xml
41-3-1-2-Two-independent-populations-each-with-unknown-variance.xml
41-3-1-3-Two-independent-populations-each-with-unknown-variance-continued.xml
41-3-1-4-The-F-test.xml
41-3-1-5-The-F-test-continued.xml
Course_quiz_43_1-regression
43-1-1-1-Introduction.xml
43-1-1-2-Regression.xml
43-1-1-3-Scatter-diagrams.xml
43-1-1-4-Regression-lines-by-eye.xml
43-1-2-1-Least-squares.xml
43-1-2-2-KP1-2.xml
43-1-2-3-Eg1.xml
43-1-2-4-Regression-line.xml
43-1-2-5-Regression-line.xml
43-1-2-6-predict-elasticity.xml
43-1-2-7-predict-cost.xml
43-1-3-1-Least-squares---modelling.xml
43-1-3-2-Adequacy-of-fit.xml
43-1-3-3-Coeffs-of-determination.xml
43-1-3-4-Adjusted-Coeffs-of-determination.xml
43-1-4-1-Significance-testing-for-regression.xml
43-1-4-2-Eg2.xml
43-1-4-4-fake-the-data.xml
43-1-5-1-Regression-Curves.xml
43-1-5-2-Regression-Curves---Quadratic.xml
43-1-5-3-Regression-Curves---Exponential.xml
43-1-6-1-F-distribution.xml
Course_quiz_43_2-correlation
43-2-01-Introduction.xml
43-2-02-Correlation.xml
43-2-03-Pearson-example.xml
43-2-04-Significance-of-Pearson’s-r.xml
43-2-05-Pearson-signif-eg.xml
43-2-06-Comments-on-interpretation.xml
43-2-07-Spearman’s-coefficient-of-correlation.xml
43-2-08-The-calculation-of-Spearman’s-R.xml
43-2-09-Significance-of-Spearman-s-R.xml
43-2-1-1-Pearson-r.xml
43-2-1-2-Pearson-r.xml
43-2-1-3-Spearman-R.xml
43-2-F-distribution.xml
43-2-t-distribution.xml
Introductory-Mathematics
Week-01---Quadratic-functions-and-their-graphs
1-0-1-(What-is-a-quadratic-equation-).xml
1-0-2-(Identifying-quadratics).xml
1-0-3-(Write-quadratic-in-standard-form-1).xml
1-0-4-(Write-quadratic-in-standard-form-2).xml
1-0-5-(Roots-of-quadratics).xml
1-0-6-(Discriminant-Positive).xml
1-0-7-(Discriminant-Negative).xml
1-0-8-(Sum-and-product-of-roots).xml
1-0-9-(Expanding-brackets).xml
1-0-10-(Expand-brackets-(AlgMap-7-7)).xml
1-0-11-(Coefficient-in-expansion-of-2-brackets).xml
1-0-13-(Binomial-).xml
1-0-14-(Use-Binomial-Theorem).xml
1-1-1-(Factorising-Quadratics).xml
1-1-2-(Factorising-two-terms-positive).xml
1-1-3-(Factorising-two-terms-negative).xml
1-1-4-(Difference-of-two-squares).xml
1-1-5-(Difference-of-two-squares).xml
1-1-6-(Factorising-coefficient-is-1).xml
1-1-7-(General-Method).xml
1-1-8-(Factorising-coefficient-1-negative-roots).xml
1-1-9-(Factorising-coefficient-1-positive-roots).xml
1-1-10-(Example-of-a-quadratic-with-given-roots).xml
1-1-11-(Factorising-coefficient-not-1).xml
1-1-13-(Factorising-coefficient-not-1-positive-roots).xml
1-1-14-(Factorising-coefficient-not-1-negative-roots).xml
1-1-15-(Inspection).xml
1-2-1-(Completing-the-square).xml
1-2-2-(Why-completing-the-square-works).xml
1-2-3-(Complete-the-square-x^2+2-bx+c).xml
1-2-4-(Solve-by-completing-the-square-x^2+2-bx+c).xml
1-2-5-(Completing-the-square---general-quadratic).xml
1-2-6-(General-method---completing-the-square).xml
1-2-8-(Complete-the-square-x^2-bx+c).xml
1-2-9-(Solve-by-completing-the-square-x^2-bx+c).xml
1-2-10-(Complete-the-square-ax^2+bx+c).xml
1-2-11-(Solve-by-completing-the-square-ax^2+bx+c).xml
1-2-12-(Quadratic-Formula).xml
1-2-14-(Solve-by-quadratic-formula-x).xml
1-2-15-(Solve-by-quadratic-formula-y).xml
1-3-1-(Quadratic-functions).xml
1-3-2-(Geogebra-parabola-sliders).xml
1-3-3-(Graph-terminology-concave-up).xml
1-3-4-(Graph-terminology-concave-down).xml
1-3-5-(Roots-and-curve-sketching).xml
1-3-6-(Quadratic-classification).xml
1-3-7-(Find-x-intercepts-concave-upwards).xml
1-3-8-(Find-x-intercepts-concave-downwards).xml
1-3-9-(Graphs-and-completing-the-square).xml
1-3-10-(Completing-the-square-(based-on-DiagTest03-GK4)).xml
1-3-11-(Choose-graph-of-completed-square).xml
1-3-12-(Choose-graph-of-completed-square-a-not-1).xml
1-3-13-(Finding-equations-of-parabolas).xml
1-3-14-(Equation-from-parabola-with-roots-given-evaluate-not-at-0).xml
1-3-15-(Equation-from-parabola-with-vertex-given).xml
1-3-16-(Equation-from-graph-roots-given).xml
1-3-17-(Equation-from-graph-vertex-given).xml
1-3-18-(Intersections-between-parabolas-and-lines).xml
1-3-19-(Rewrite-intersection-in-standard-form).xml
1-3-20-(Line-tangent-to-parabola).xml
1-3-21-(Parabola---line-intersection).xml
1-4-1-(Applications-of-Quadratics-intro).xml
1-4-2-(History-of-Quadratics).xml
1-4-3-(Application---golden-ratio).xml
1-4-5-(Application---stopping-distances).xml
1-4-6-(Calculate-stopping-distance).xml
1-4-7-(Calculate-stopping-distance-2).xml
1-4-8-(Stopping-distance-proportional-to-speed-squared).xml
1-4-9-(The-Highway-Code).xml
PT-1-1-(Write-quadratic-in-standard-form-2).xml
PT-1-2-(Discriminant-Positive).xml
PT-1-3-(Coefficient-in-expansion-of-3-brackets).xml
PT-1-4-(Factorising-coefficient-not-1-negative-roots).xml
PT-1-5-(Example-of-a-quadratic-with-given-roots).xml
PT-1-6-(Completing-the-square-(based-on-DiagTest03-GK4)).xml
PT-1-7-(Graph-terminology-concave-up).xml
PT-1-8-(Find-x-intercepts-concave-upwards).xml
PT-1-9-(Choose-graph-of-completed-square).xml
PT-1-10-(Equation-from-parabola-with-vertex-given).xml
PT-1-11-(Line-tangent-to-parabola).xml
PT-1-12-(Line-tangent-to-parabola,-from-graph).xml
Week-02---Polynomials,-functions,-graphs-and-their-inverses
2-0-1-(Definition-of-polynomial).xml
2-0-2-(Identifying-coefficients-positive).xml
2-0-3-(Identifying-coefficients-negative).xml
2-0-4-(Operations-with-Polynomials).xml
2-0-5-(Degree-of-polynomials).xml
2-0-6-(Scalar-multiplication-of-Polynomials).xml
2-0-7-(Addition-of-Polynomials).xml
2-0-8-(Subtraction-of-Polynomials).xml
2-0-9-(Equality-of-polynomials).xml
2-0-10-(Equality-of-polynomials-2).xml
2-0-11-(Zeros-vs-Roots).xml
2-0-12-(coef-of-x-in-expansion-(3-terms)).xml
2-0-13-(Identifying-zero-of-cubic).xml
2-0-14-(Identifying-zero-of-quartic).xml
2-0-15-(Factorise-cubic-like-quadratic-positive).xml
2-0-16-(Factorise-quartic-like-quadratic-positive).xml
2-1-1-(Factors-of-Polynomials).xml
2-1-2-(Identifying-Linear-Factors).xml
2-1-3-(Obtaining-Linear-Factors).xml
2-1-4-(Linear-factors).xml
2-1-5-(Division-of-polynomials).xml
2-1-6-(Identifying-elements-of-a-division).xml
2-1-7-(Division-quadratic-over-linear-last-step-only).xml
2-1-8-(Division-quadratic-over-linear-all-steps).xml
2-1-9-(Division-quadratic-over-linear-no-scaffolding).xml
2-1-10-(Division-for-polynomials-of-higher-degree).xml
2-1-11-(Division-cubic-over-linear-1).xml
2-1-12-(Division-cubic-over-linear-2).xml
2-1-13-(Division-cubic-over-quadratic-last-step-only).xml
2-1-14-(Division-cubic-over-quadratic-all-steps).xml
2-1-15-(Division-cubic-over-quadratic-no-scaffolding).xml
2-1-16-(Factor-theorem).xml
2-1-17-(Remainder-theorem).xml
2-1-19-(Using-factor-and-remainder-theorem-to-determine-unknown-coefficients).xml
2-1-20-(Fully-factorise-a-cubic).xml
2-1-21-(Fully-factorise-a-quartic-with-hint).xml
2-1-22-(Factor-Theorem-T-F).xml
2-1-23-(Fully-factorise-a-quartic-with-irred-quad).xml
2-2-1-(Sketching-cubics).xml
2-2-2-(Cubic-Graph-Sliders).xml
2-2-3-(Example-of-sketching-cubic).xml
2-2-4-(Cubic-classification-table).xml
2-2-5-(Which-is-graph-of-factored-cubic-).xml
2-2-6-(Sketching-graph-applet).xml
2-2-7-(Sketching-quartics).xml
2-2-8-(Quartics-Classification).xml
2-2-9-(Which-is-graph-of-factored-quartic-).xml
2-2-10-(Quartic-graph-example).xml
2-2-11-(Find-quartic-from-graph-(scaffolded)).xml
2-2-12-(Find-quartic-from-graph).xml
2-2-13-(Higher-degrees).xml
2-2-14-(Find-quintic-from-graph).xml
2-2-15-(Find-quintic-from-graph-2)-(copy).xml
2-3-1-(Functions-and-relations).xml
2-3-2-(When-is-a-relation-a-function-).xml
2-3-3-(Function-Notation).xml
2-3-4-(Identify-function-from-equation).xml
2-3-5-(xy-intercepts).xml
2-3-6-(Complete-to-make-relation-a-function).xml
2-3-7-(Evaluate-a-function).xml
2-3-8-(Find-independent-variables).xml
2-3-9-(Evaluate-a-function-algebra-1).xml
2-3-10-(Finding-independent-variable).xml
2-3-11-(Domain-and-range).xml
2-3-12-(Domain-and-Range-Example).xml
2-3-14-(Find-the-point-in-the-domain-1).xml
2-3-15-(Find-the-point-in-the-domain-2).xml
2-3-16-(Finding-the-range).xml
2-3-17-(Natural-Domain).xml
2-3-18-(Transformations-of-functions).xml
2-3-19-(Graph-showing-transformations).xml
2-3-20-(Operations-on-graph-MCQ).xml
2-3-21-(Spot-the-scaled-graph).xml
2-3-22-(Spot-the-translated-graph).xml
2-3-23-(Scaled-domain-and-range).xml
2-3-24-(Spot-even-function).xml
2-3-25-(Operations-on-odd-function).xml
2-3-26-(Inverse-Functions).xml
2-3-27-(Find-inverse).xml
2-3-28-(Spot-invertible-function).xml
2-4-1-(Application-of-Polynomials-Intro).xml
2-4-2-(History-of-cubics).xml
2-4-3-(Application---Volume).xml
2-4-4-(Volume-of-a-box).xml
2-4-5-(Volume-of-a-box-for-given-cut-out).xml
2-4-6-(Application---Crossed-Ladders-Problem).xml
PT-2-1-(Degree-of-polynomials).xml
PT-2-2-(Equality-of-polynomials).xml
PT-2-3-(Factorise-cubic-like-quadratic-positive).xml
PT-2-4-(Division-quadratic-over-linear-no-scaffolding).xml
PT-2-5-(Division-cubic-over-linear-2).xml
PT-2-6-(Fully-factorise-a-quartic-with-hint).xml
PT-2-7-(Factor-Theorem-T-F).xml
PT-2-8-(Which-is-graph-of-factored-cubic-).xml
PT-2-9-(Finding-independent-variable).xml
PT-2-10-(Operations-on-graph-MCQ).xml
PT-2-11-(Scaled-domain-and-range).xml
PT-2-12-(Find-inverse-of-lin-sqrt).xml
Week-03---Reasoning-and-writing-mathematical-arguments
3-0-1-(What-is-a-proof-).xml
3-0-2-(Example-of-a-proof).xml
3-0-3-(Identify-hypothesis-even-numbers).xml
3-0-4-(Identify-conclusion-even-numbers).xml
3-0-5-(Purpose-of-Proof).xml
3-0-6-(What-can-we-deduce-).xml
3-0-7-(Truth-and-lies).xml
3-0-8-(How-to-write-a-proof).xml
3-0-9-(Tips-for-writing-proof).xml
3-0-10-(Suspects-lying).xml
3-0-11-(Truth-of-Statements).xml
3-1-1-(Logical-Connectives).xml
3-1-2-(Squares-of-Integers).xml
3-1-3-(Negation).xml
3-1-4-(Negation-of-statements).xml
3-1-5-(Negation-2).xml
3-1-6-(Conjunction).xml
3-1-7-(Truth-of-conjunctives).xml
3-1-8-(Disjunction).xml
3-1-9-(Truth-of-disjunctions).xml
3-1-10-(Equivalence).xml
3-1-11-(Equivalence-of-statements).xml
3-1-12-(Implications).xml
3-1-13-(Example-Proof).xml
3-1-14-(Identify-Converse).xml
3-1-15-(Truth-of-implications).xml
3-1-16-(Truth-of-implications-2).xml
3-1-17-(Quantifiers).xml
3-1-18-(Truth-of-quantifiers).xml
3-1-19-(Truth-Tables).xml
3-1-20-(Truth-Table-of-implication).xml
3-1-21-(Truth-Table-of-equivalence).xml
3-1-22-(Euler-Diagrams).xml
3-1-23-(Euler-diagram-of-and).xml
3-2-1-(Definitions).xml
3-2-2-(Pick-best-definition-of-rational).xml
3-2-3-(Direct-proof).xml
3-2-4-(Direct-proof---multiplying-odd-integers).xml
3-2-6-(Direct-proof---sum-of-odd-integers).xml
3-2-7-(If-and-only-if-proofs).xml
3-2-8-(Reasoning-by-equivalence).xml
3-2-9-(Maintain-Equivalence).xml
3-2-10-(Proof-by-exhaustion).xml
3-2-11-(Complete-exhaustion-argument).xml
3-2-12-(Counter-examples).xml
3-2-13-(Give-a-counterexample-quadratic).xml
3-2-14-(Give-a-counterexample).xml
3-3-1-(Contrapositive).xml
3-3-2-(Example-of-contrapositive-proof).xml
3-3-4-(Contrapositive---even-quadratic).xml
3-3-5-(Contradiction).xml
3-3-6-(Example-of-contradiction-proof).xml
3-3-8-(Contradiction---odd-square).xml
3-3-9-(Common-proof-errors).xml
3-3-10-(Hypothesis-vs-Conclusion).xml
3-3-11-(Identify-hypothesis-and-conclusion).xml
3-3-12-(Problem-with-iff).xml
3-3-13-(Language).xml
3-4-1-(Applications-of-proof-intro).xml
3-4-2-(History-of-proof).xml
3-4-3-(Application---recreational-maths).xml
3-4-4-(Monty-Hall).xml
3-4-5-(Monty-Hall-problem).xml
3-4-6-(Knights-tour).xml
3-4-7-(Other-recreational-maths-problems).xml
3-4-8-(Write-2017-as-two-primes).xml
3-4-9-(Remembering-a-pin).xml
3-4-10-(Application---false-proofs).xml
3-4-11-(Proof-that-1=2).xml
3-4-12-(Proof-that-4=5).xml
Week-04---Exponential-and-logarithmic-functions
4-0-1-(Introduction-to-indices).xml
4-0-2-(Calculate-indices).xml
4-0-3-(Surds-and-radicals).xml
4-0-4-(Simplifying-surds---addition-and-multiplication).xml
4-0-5-(Simplifying-surds-rationalise-denominator).xml
4-0-6-(Fractional-indices).xml
4-0-7-(Surds-as-powers).xml
4-0-8-(Index-Laws).xml
4-0-9-(Write-single-index).xml
4-0-10-(Simplify-indices-multiplication).xml
4-0-11-(Simplify-indices-in-a-fraction).xml
4-0-12-(Algebra-with-indices).xml
4-0-13-(Scientific-Notation).xml
4-0-14-(Index-laws-remove-brackets).xml
4-0-15-(Expand-brackets-(AlgMap-7-7)).xml
4-0-16-(Give-scientific-notation).xml
4-1-1-(Exponential-equations).xml
4-1-3-(Exponentials-algebraically).xml
4-1-4-(Exponentials-algebraically-2).xml
4-1-5-(Quadratic-exponentials).xml
4-1-6-(Ordering-the-powers-of-x).xml
4-1-7-(Exponential-Functions).xml
4-1-8-(Properties-of-exponential-functions).xml
4-1-9-(Simple-exp-laws).xml
4-1-10-(Exp-laws-with-e).xml
4-1-10-(Simplify-exp-function).xml
4-1-11-(Which-are-polynomials-).xml
4-1-12-(The-number-e).xml
4-1-13-(Easy-exp).xml
4-1-14-(Intersection-of-two-exps).xml
4-1-15-(Quadratic-natural-exponential).xml
4-2-1-(Logarithms-and-bases).xml
4-2-2-(Find-log_a(a^n)).xml
4-2-3-(Compute-logs-any-base-1).xml
4-2-4-(Compute-logs-any-base-2).xml
4-2-5-(The-natural-log).xml
4-2-6-(Compute-logs-base-e).xml
4-2-7-(Find-temperature-natural-log).xml
4-2-8-(Laws-of-logs).xml
4-2-9-(Simplifying-logs).xml
4-2-11-(Simplify-sum-of-logs).xml
4-2-12-(Log-laws-MNS-L3-3-Q3-edited).xml
4-2-13-(Log-of-a-product).xml
4-2-14-(Simplify-natural-logs-2).xml
4-2-15-(Simplify-natural-logs).xml
4-2-16-(Changing-base).xml
4-2-17-(Changing-base-example).xml
4-2-18-(Change-of-base-to-e).xml
4-2-19-(Change-of-base-to-10-and-e).xml
4-2-20-(Logs-to-solve-exponential-equations).xml
4-2-21-(Using-logs-to-solve-exponentials-examples).xml
4-2-23-(Take-natural-logs).xml
4-2-24-(Inverse-with-exp).xml
4-2-25-(Solve-e^ax=be^x).xml
4-2-26-(Solve-e^ax=b).xml
4-2-27-(Solve-quadratic-exponential).xml
4-3-1-(Graphs-of-exponentials).xml
4-3-2-(Plotting-exponential-example).xml
4-3-3-(Plotting-exponentials).xml
4-3-4-(Find-domain-of-exponential).xml
4-3-5-(Find-range-of-exponential).xml
4-3-6-(Find-exponential-from-graph).xml
4-3-7-(Graphs-of-logs).xml
4-3-8-(Plotting-log-example).xml
4-3-9-(Properties-of-log-functions).xml
4-3-10-(Order-exp-and-ln).xml
4-3-11-(Find-domain-of-log).xml
4-3-12-(Find-range-of-log).xml
4-3-13-(Exponential-growth).xml
4-3-14-(Exponential-growth-example).xml
4-3-15-(Choose-and-calculate).xml
4-3-16-(Exponential-growth-of-a-function).xml
4-3-17-(Logs-to-solve-exponential-growth-problems).xml
4-3-18-(Find-temperature-natural-log-2).xml
4-3-19-(Growth---population).xml
4-3-20-(Logarithmic-Growth).xml
4-4-1-(Application-of-exponentials-intro).xml
4-4-2-(History-of-exponentials-and-Logarithms).xml
4-4-3-(Application---exponential-growth-(finance)).xml
4-4-4-(Compound-and-simple-interest-example).xml
4-4-5-(Simple-interest).xml
4-4-6-(Compound-interest).xml
4-4-7-(Compound-beats-simple-interest).xml
4-4-8-(Application---Logarithmic-scales).xml
4-4-9-(Log-Scale-Example).xml
4-4-10-(Log-scales-from-graph-info).xml
4-4-11-(Log-scales-from-graph-info-2).xml
4-4-12-(Examples-of-Log-Scales).xml
PT-4-1-(Simplify-indices-multiplication).xml
PT-4-2-(Surds-as-powers).xml
PT-4-3-(Compute-logs-any-base-2).xml
PT-4-4-(Simplify-sum-of-logs).xml
PT-4-5-(Simplify-scientific-indices).xml
PT-4-6-(Inverse-with-exp).xml
PT-4-7-(Quadratic-exponentials).xml
PT-4-8-(Simplify-sum-of-logs-2).xml
PT-4-9-(Find-exponential-from-graph).xml
PT-4-10-(Solve-e^ax=be^x).xml
PT-4-11-(Growth---population).xml
PT-4-12-(Change-of-base-to-10-and-e).xml
Week-05---Trigonometric-functions
5-0-1-(The-unit-circle).xml
5-0-2-(Defining-sine-and-cosine).xml
5-0-3-(Defining-tangent).xml
5-0-4-(Signs-of-trig-and-quadrants).xml
5-0-5-(Positivity-in-quadrants).xml
5-0-6-(Positivity-of-tan).xml
5-0-7-(Third-quadrant-without-calculator).xml
5-0-8-(Find-all-trigonometric-functions).xml
5-0-9-(Fourth-quadrant-trigs).xml
5-0-10-(Exact-angles).xml
5-0-11-(Sine-using-calculator).xml
5-0-12-(Trig-without-calculator).xml
5-0-13-(Values-of-tan).xml
5-0-14-(Finding-angles).xml
5-0-15-(Tan-undefined).xml
5-0-16-(Explore-Pythagoras).xml
5-0-17-(Solve-tan-trig-equation).xml
5-0-18-(Find-sin-of-angle---pythagoras).xml
5-0-19-(Find-cos-of-angle---pythagoras).xml
5-0-20-(Addition-of-multiples-of-180).xml
5-0-21-(Find-angles).xml
5-0-22-(More-useful-trig-functions).xml
5-0-23-(sin-times-sec).xml
5-0-24-(Identities-for-sec,-csc,-cot).xml
5-1-1-(Right-angled-triangles).xml
5-1-2-(Example-of-find-triangle-information).xml
5-1-2-(Find-area-of-triangle).xml
5-1-2-Find-trig-coefficients-(copy).xml
5-1-2-quadratic-with-sin-(copy).xml
5-1-3-(Find-side-of-triangle).xml
5-1-4-(Basic-trig-triangle).xml
5-1-5-(Isosceles-triangle).xml
5-1-6-(Sine-rule).xml
5-1-7-(Sine-rule-example).xml
5-1-8-(Sine-rule-find-length).xml
5-1-9-(Sine-rule-find-length-2).xml
5-1-10-(Sine-rule-find-length-when-not-given-angle).xml
5-1-11-(Sine-rule-find-angle).xml
5-1-12-(Sine-rule-find-angle-2).xml
5-1-13-(Cosine-rule).xml
5-1-14-(Cosine-rule-example).xml
5-1-17-(Cosine-rule-find-length).xml
5-1-18-(Cosine-rule-find-length-2).xml
5-1-19-(Cosine-vs-sine-rule).xml
5-1-20-(Cosine-rule-find-angle).xml
5-1-21-(Sine-rule-find-length-when-not-given-angle-2).xml
5-2-1-(Basic-trig-equations).xml
5-2-3-(Find-solutions-of-sine-equation-exact-positive).xml
5-2-3-Table-of-inverse-trig-(copy).xml
5-2-4-(Find-solutions-of-cosine-equation-exact-positive).xml
5-2-5-(Find-solutions-of-cosine-equation-exact-negative).xml
5-2-6-(Find-solutions-of-sine-equation-not-exact-positive).xml
5-2-7-(Find-solutions-of-tan-equation-exact-positive).xml
5-2-8-(Sin-squared-equation-not-exact).xml
5-2-9-(Cos-multiplied-equation-not-exact-positive).xml
5-2-10-(Common-trig-identities).xml
5-2-11-(Product-of-1-plus-sine).xml
5-2-12-(Simplify-with-Pythagoras).xml
5-2-13-(Pythagoras-to-find-cos-angle).xml
5-2-14-(Pythagoras-to-find-tan-angle).xml
5-2-15-(Sum-and-difference-formulas).xml
5-2-16-(Tan-of-difference-of-angles).xml
5-2-17-(Double-angle-formulas).xml
5-2-18-(Half-angle-formulas).xml
5-2-19-(Cos-squared-in-terms-of-double-angle).xml
5-2-20-(Solving-equations-with-trig-identities).xml
5-2-22-(Double-angle-cos(4x)).xml
5-2-23-(Double-angle-cos^4---sin^4).xml
5-2-24-(Inverse-of-tan-plus-cot).xml
5-2-25-(Ratio-of-tan-and-sec).xml
5-2-26-(Product-of-sines-as-sum).xml
5-2-27-(Summary-of-trig-identities).xml
5-3-1-(Periodicity).xml
5-3-2-(Trig-functions-are-waves).xml
5-3-3-(Find-amplitude-of-sine).xml
5-3-4-(Principal-axis-from-amplitude).xml
5-3-5-(Periodic-and-odd-even-again).xml
5-3-6-(Plotting-trig-graphs-(sine)).xml
5-3-7-(Plotting-the-cosine-function).xml
5-3-8-(Transformations-of-sine-and-cosine).xml
5-3-9-(Identify-sine-from-graph).xml
5-3-10-(Identify-cosine-from-graph).xml
5-3-11-(Graph-of-tan).xml
5-3-12-(Transformations-of-tan).xml
5-3-13-(Identify-tan-from-graph).xml
5-3-14-(Spot-the-scaled-trig-based-on-MNS-L4-1-Q4-edited).xml
5-3-15-(Solve-to-scale-trig).xml
5-3-16-(Inverse-trig).xml
5-3-17-(Graphs-of-arctrig).xml
5-3-18-(Arctrig-of-trig).xml
5-3-19-(Arctrig-domain-MNS-L3-2-Q2-edited-enter-info).xml
5-3-20-(Arctrig-range-based-on-MNS-L3-2-Q2).xml
5-3-21-(Trig-given-arctrig).xml
5-3-22-(Arctrig-periodic-equation).xml
5-3-23-(Basic-arctrig-values).xml
5-4-1-(Applications-of-trig---introduction).xml
5-4-2-(History-of-trigonometry).xml
5-4-3-(Application---music-theory).xml
5-4-4-(Example-of-trig-in-music-theory).xml
5-4-5-(Find-equation-of-sin-wave).xml
5-4-6-(Application---Cartography).xml
5-4-7-(Example-of-calculating-a-bearing).xml
5-4-8-(Find-distance-bearing).xml
5-4-9-(Find-distance-bearing-2).xml
5-4-10-(Find-distance-bearing-3).xml
PT-5-1-(Sine-using-calculator).xml
PT-5-2-(Find-all-trigonometric-functions).xml
PT-5-3-(Arctrig-domain-and-range-based-on-MNS-L3-2-Q2).xml
PT-5-4-(Pythagoras-to-find-tan-angle).xml
PT-5-5-(Cosine-rule-find-length).xml
PT-5-6-(cos-of-double-angle).xml
PT-5-7-(Find-distance-bearing).xml
PT-5-8-(Max-min-trig-comp).xml
PT-5-9-(Ratio-of-sum-of-cosines-and-sines).xml
PT-5-10-(Sum-of-cosines).xml
PT-5-11-(Tan-of-double-angle).xml
PT-5-12-(Product-of-cosines-as-sum-of-cosines).xml
Week-06---The-Circle
6-0-1-(What-is-a-circle-).xml
6-0-2-(Centre-and-radius-of-circle-from-graph).xml
6-0-3-(Centre-and-radius-of-circle-from-graph).xml
6-0-4-(Cartesian-equation-of-a-circle).xml
6-0-6-(Find-equation-of-circle).xml
6-0-7-(Find-equation-of-circle-2).xml
6-0-8-(Find-equation-of-circle-rational).xml
6-0-9-(Find-equation-of-circle-diameter-rational).xml
6-0-10-(Expanded-equation-of-a-circle).xml
6-0-11-(Find-expanded-equation-of-circle).xml
6-0-12-(Find-expanded-equation-of-circle-rational).xml
6-0-13-(Find-equation-of-circle-diameter-rational).xml
6-0-14-(Convert-expanded-to-centre-radius-form).xml
6-0-15-(Convert-expanded-to-centre-radius-form-rational).xml
6-1-(Points-on-a-circle).xml
6-1-1-(Centre-and-radius-of-circles).xml
6-1-2-(Find-centre-and-radius-of-circle).xml
6-1-3-(Find-centre-and-radius-of-circle-2).xml
6-1-4-(Find-centre-and-radius-of-circle-rational).xml
6-1-5-(Point-on-a-circle).xml
6-1-6-(Find-centre-and-radius-from-expanded-equation-rational).xml
6-1-7-(Find-centre-and-radius-from-expanded-equation-rational-2).xml
6-1-8-(Find-centre,-radius-and-centre-radius-form).xml
6-1-9-(Find-equation-of-circle-given-points-on-circumference).xml
6-1-10-(Find-equation-of-circle-given-points-on-circumference-2).xml
6-1-11-(Tangents-and-intersections).xml
6-1-12-(Example-of-showing-a-line-is-tangent).xml
6-1-13-(Show-a-line-is-tangent-to-a-circle).xml
6-1-14-(Find-intersection-points-of-circle-and-line).xml
6-1-16-(Find-equation-of-tangent).xml
6-1-16-(Finding-equation-of-tangents-to-circles).xml
6-1-17-(Find-equation-of-tangent)-(test).xml
6-1-18-(When-do-we-have-a-circle-).xml
6-1-19-(Example-of-deciding-if-an-equation-is-a-circle).xml
6-1-21-(Is-expanded-equation-a-circle).xml
6-1-22-(Is-expanded-equation-a-circle-2).xml
6-1-23-(Is-not-expanded-equation-a-circle).xml
6-1-24-(Is-not-expanded-equation-a-circle-rational).xml
6-1-25-(Is-not-expanded-equation-a-circle-rational-2).xml
6-2-1-(Arc-length-and-circumference).xml
6-2-2-(Circumference-of-circle-in-terms-of-pi).xml
6-2-3-(Circumference-of-circle).xml
6-2-4-(Arc-length-in-terms-of-pi).xml
6-2-5-(Arc-length).xml
6-2-6-(Circumference-from-arc-length).xml
6-2-7-(Arc-length-from-circumference).xml
6-2-8-(Circumference-from-arc-length-2).xml
6-2-9-(Chords-and-intersections-of-a-circle).xml
6-2-10-(Find-length-of-half-a-chord).xml
6-2-11-(Find-length-of-a-chord).xml
6-2-12-(Find-length-of-a-chord-2).xml
6-2-13-(Find-length-of-a-radius-from-chord-length).xml
6-2-14-(Find-length-of-a-radius-from-chord-length-2).xml
6-2-15-(Radius-and-area).xml
6-2-16-(Area-from-circumference-in-terms-of-pi).xml
6-2-17-(Area-from-circumference-in-terms-of-pi-2).xml
6-2-18-(Area-from-circumference).xml
6-2-19-(Area-from-circumference-2).xml
6-2-20-(Area-of-circle-word-problem---garden).xml
6-2-21-(Complete-circle-information).xml
6-2-22-(Complete-circle-information-2).xml
6-3-1-(Introduction-to-parametric-curves).xml
6-3-2-(Sketching-parametric-curves).xml
6-3-3-(Complete-parametric-table-trig-1).xml
6-3-4-(Complete-parametric-table-trig-2).xml
6-3-5-(Complete-parametric-table-polyn).xml
6-3-6-(Spot-the-parametric-curve).xml
6-3-7-(Spot-the-parametric-curve-2).xml
6-3-8-(Parametric-form-of-a-circle).xml
6-3-9-(Parametrize-circle).xml
6-3-10-(Parametrize-circle-2).xml
6-3-11-(Parametrize-circle-3).xml
6-3-12-(Parametric-ellipse).xml
6-3-13-(Parametric-ellipse-2).xml
6-3-14-(Spot-circle-given-parametrization).xml
6-3-15-(Spot-circle-given-parametrization-2).xml
6-3-16-(Converting-parametric-equations).xml
6-3-17-(Parametric-to-cartesian).xml
6-3-18-(Parametric-to-cartesian-2).xml
6-3-19-(Parametric-to-parabola).xml
6-3-20-(Parametric-to-parabola-2).xml
6-4-1-(Applications-of-circles---introduction).xml
6-4-2-(History-of-circle-geometry).xml
6-4-3-(Application---architecture).xml
6-4-4-(Application---Circular-motion-in-physics).xml
6-4-5-(Circular-motion-example).xml
6-4-6-(Find-force-on-car).xml
6-4-7-(Find-speed-and-acceleration).xml
6-4-8-(Find-force-on-car-2).xml
6-4-9-(Find-force-on-runner).xml
PT-6-1-(Point-on-a-circle).xml
PT-6-2-(Centre-and-radius-of-circle-from-graph).xml
PT-6-3-(Circumference-from-arc-length).xml
PT-6-4-(Find-equation-of-circle-2).xml
PT-6-5-(Convert-expanded-to-centre-radius-form-rational).xml
PT-6-6-(Is-not-expanded-equation-a-circle-rational).xml
PT-6-7-(Spot-the-parametric-curve).xml
PT-6-8-(Parametric-to-cartesian).xml
PT-6-9-(Parametric-to-parabola).xml
PT-6-10-(Parametrize-circle).xml
Week-07---Simultaneous-Equations
7-0-(Two-linear-simultaneous-equations).xml
7-0-1-(What-are-simultaneous-equations-).xml
7-0-2-(Example-of-worded-simultaneous-linear-equations).xml
7-0-3-(Encoding-info-in-simultaneous-equations).xml
7-0-4-(Encoding-info-in-simultaneous-equations-2).xml
7-0-5-(Encoding-info-in-simultaneous-equations-3).xml
7-0-6-(Two-linear-simultaneous-equations).xml
7-0-7-(Example-of-solving-two-linear-simultaneous-equations).xml
7-0-9-(Two-linear-sim-eqns-with-fractions).xml
7-0-10-(Two-linear-sim-eqns-with-fractions-2).xml
7-0-11-(Two-linear-sim-eqns-with-fractional-coefficients).xml
7-0-12-(Two-linear-sim-eqns-with-fractional-coefficients-2).xml
7-0-13-(Two-linear-sim-eqns-worded).xml
7-0-14-(Two-linear-sim-eqns-worded-2).xml
7-0-15-(One-linear-and-one-quadratic-equation).xml
7-0-16-(Example-of-solving-sim-eqns-with-one-lin-one-qud-).xml
7-0-17-(One-lin-one-quad-sim-eqns-rearrange-and-factorise).xml
7-0-18-(One-lin-one-quad-sim-eqns-rearrange-and-factorise-2).xml
7-0-19-(One-lin-one-quad-sim-eqns-rearrange-and-factorise-3).xml
7-0-20-(One-lin-one-quad-sim-eqns-no-factorise).xml
7-0-21-(One-lin-one-quad-sim-eqns-no-factorise-2).xml
7-1-1-(Two-linear-equations).xml
7-1-2-(Example-of-solving-two-lin-sim-eqns-graphically).xml
7-1-3-(Two-lin-sim-eqns-from-graph).xml
7-1-4-(Two-lin-sim-eqns-from-graph-2).xml
7-1-5-(Two-lin-sim-eqns-from-graph-3).xml
7-1-6-(Intersections-with-quadratics).xml
7-1-8-(Rewrite-intersection-in-standard-form).xml
7-1-9-(Line-tangent-to-parabola).xml
7-1-10-(Parabola---line-intersection).xml
7-1-11-(Parabola---line-intersection-2).xml
7-1-12-(Line-tangent-to-parabola).xml
7-1-13-(Parabola---line-intersection-3).xml
7-1-14-(Intersections-with-polynomials).xml
7-1-15-(Cubic-and-linear-sim-eqns-).xml
7-1-16-(One-cubic-one-linear-sim-eqn-).xml
7-1-17-(One-lin-one-cubic-sim-eqns-rearrange-and-factorise).xml
7-1-18-(One-lin-one-cubic-sim-eqns-rearrange-and-factorise-2).xml
7-1-19-(One-lin-one-cubic-sim-eqns-rearrange-and-factorise-3).xml
7-2-1-(What-is-linear-programming-).xml
7-2-2-(Example-of-linear-programming-question).xml
7-2-3-(Write-maximum-and-minimum-from-feasibility-region).xml
7-2-4-(Linear-programming-1).xml
7-2-5-(Linear-programming-2).xml
7-2-6-(Linear-programming-3).xml
7-2-7-(The-simplex-method).xml
7-2-8-(Example-of-simplex-method).xml
7-2-9-(Solve-linear-programming-problem-simplex-method).xml
7-2-10-(Linear-Programming-problem-solving).xml
7-2-11-(Linear-programming-cabinets-1).xml
7-2-12-(Linear-programming-cabinets-2).xml
7-2-13-(Linear-programming-investments).xml
7-3-(Inverse-and-determinants).xml
7-3-1-(Introduction-to-matrices).xml
7-3-2-(Size).xml
7-3-3-(Size-of-a-matrix).xml
7-3-4-(Size-of-a-matrix-2).xml
7-3-5-(Adding-and-subtracting-matrices).xml
7-3-6-(Adding-square-matrices).xml
7-3-7-(Subtracting-square-matrices).xml
7-3-8-(Scalar-multiplication).xml
7-3-9-(Scalar-multiplication).xml
7-3-10-(Scalar-multiplication-2).xml
7-3-11-(Matrix-multiplication).xml
7-3-12-(Example-of-multiplying-square-matrices).xml
7-3-13-(Multiplying-square-matrices-2-by-2).xml
7-3-14-(Multiplying-square-matrices-3-by-3).xml
7-3-15-(Commutativity-of-multiplication).xml
7-3-16-(Matrix-multiplication-defined).xml
7-3-17-(Matrix-multiplication-defined-2).xml
7-3-18-(Multiplying-matrices).xml
7-3-19-(Matrix-inverses).xml
7-3-20-(Example-of-matrix-inverse).xml
7-3-21-(Inverse-of-2-by-2-matrix).xml
7-3-22-(Inverse-of-2-by-2-matrix-2).xml
7-3-23-(Inverse-of-2-by-2-matrix-3).xml
7-3-24-(Systems-of-equations-with-matrices).xml
7-3-25-(Solve-sim-eqns-with-matrix-inverse).xml
7-3-26-(Write-sim-eqns-with-matrices).xml
7-3-27-(Gaussian-elimination).xml
7-3-28-(Example-of-Gaussian-elimination).xml
7-3-29-(Reduced-row-echelon-form-2-by-3).xml
7-3-30-(Notes-on-Gaussian-elimination).xml
7-3-31-(Reduced-row-echelon-form-3-by-3).xml
7-4-(Application---finance).xml
7-4-1-(Applications-of-simultaneous-equations---introduction).xml
7-4-2-(History-of-simultaneous-equations).xml
7-4-3-(Application---air-traffic).xml
7-4-4-(Air-traffic-sim-eqns-1).xml
7-4-5-(Air-traffic-sim-eqns-2).xml
7-4-6-(Air-traffic-sim-eqns-3).xml
7-4-7-(Application---finance).xml
7-4-8-(Investment-sim-eqns-1).xml
7-4-9-(Investment-sim-eqns-2).xml
PT-7-1-(Matrix-multiplication-defined).xml
PT-7-2-(Write-sim-eqns-with-matrices).xml
PT-7-3-(Multiplying-square-matrices-2-by-2).xml
PT-7-4-(Line-tangent-to-parabola).xml
PT-7-5-(Two-linear-sim-eqns-with-fractional-coefficients).xml
PT-7-6-(Parabola---line-intersection).xml
PT-7-7-(Two-linear-sim-eqns-with-fractions-2).xml
PT-7-8-(One-lin-one-quad-sim-eqns-rearrange-and-factorise).xml
PT-7-9-(Multiplying-square-matrices-3-by-3).xml
PT-7-10-(Linear-programming-1).xml
PT-7-11-(One-lin-one-quad-sim-eqns-no-factorise-2).xml
PT-7-12-(Reduced-row-echelon-form-2-by-3).xml
Week-08---Arithmetic-and-geometric-sequences
8-0-1-(Introduction-to-sequences).xml
8-0-2-(Plausible-nth-term-1).xml
8-0-3-(Plausible-nth-term-2).xml
8-0-4-(Using-formula-to-generate-terms).xml
8-0-5-(Recurrence-relations).xml
8-0-6-(Fibonacci-terms).xml
8-0-7-(Fibonacci-terms-with-different-starting-values).xml
8-0-8-(Write-a-recurrence-relation-for-a-given-sequence).xml
8-0-9-(Divergence-and-convergence).xml
8-0-10-(Examples-of-convergent-sequences).xml
8-0-11-(Compound-interest-sequence).xml
8-0-12-(Compound-interest-sequence-2).xml
8-0-13-(Increasing-and-bounded-sequences).xml
8-0-14-(Given-sequence,-decide-its-properties-1).xml
8-0-15-(Given-sequence,-decide-its-properties-2).xml
8-0-16-(Give-example-of-sequence-increasing-bdd-above).xml
8-0-17-(Which-are-increasing-).xml
8-0-18-(Give-examples-with-properties).xml
8-0-19-(Periodic-sequences).xml
8-0-20-(Which-are-periodic-).xml
8-0-21-(Which-are-periodic-2).xml
8-0-22-(Limits-of-a-sequence).xml
8-0-24-(Rationalise-hence-find-limit).xml
8-0-25-(Rationalise-hence-find-limit-2).xml
8-0-26-(Find-limit-(1-a)^k).xml
8-1-1-(Arithmetic-sequences).xml
8-1-2-(AP-given-terms,-find-u_n).xml
8-1-3-(AP-given-terms,-find-u_n-2).xml
8-1-4-(Arithmetic-seq-find-missing-value).xml
8-1-5-(Arithmetic-seq-find-missing-value-2).xml
8-1-5-(Which-are-arith-seqs-).xml
8-1-6-(Which-are-arith-seqs-2).xml
8-1-7-(Write-arithmetic-sequence).xml
8-1-8-(Write-arithmetic-sequence-2).xml
8-1-9-(Write-arithmetic-sequence-3).xml
8-1-10-(Given-arith-sequence,-decide-its-properties).xml
8-1-11-(Geometric-sequences).xml
8-1-12-(Find-the-common-ratio).xml
8-1-13-(Find-the-common-ratio-2).xml
8-1-14-(Term-of-GP-from-other-term-and-ratio).xml
8-1-15-(Given-terms-find-u_n-gp).xml
8-1-16-(Given-terms-find-u_n-gp-2).xml
8-1-17-(Which-geo-seq-are-converging-).xml
8-1-18-(Given-geo-sequence,-decide-its-properties).xml
8-1-19-(Problem-solving-with-sequences).xml
8-1-20-(Arith-seq-savings).xml
8-1-21-(Arith-seq-savings-2).xml
8-1-22-(Artih-seq-animal-population).xml
8-1-23-(Geom-seq-calculate-salary).xml
8-1-24-(Geom-seq-choose-salary).xml
8-1-25-(Geom-seq-choose-salary-2).xml
8-2-1-(Series).xml
8-2-2-(Sum-of-first-n-integers).xml
8-2-3-(Sum-of-first-n-integers-2).xml
8-2-4-(Sigma-notation).xml
8-2-5-(Sigma-notation-examples).xml
8-2-6-(Evaluate-sum-(random-letters)).xml
8-2-7-(Find-upper-lim-and-expr).xml
8-2-8-(Find-upper-lim-and-expr-2).xml
8-2-9-(Which-are-correct-sigma-notation-for-this-sum-).xml
8-2-10-(Find-upper-lim-and-expr,-twice).xml
8-2-11-(Linearity).xml
8-2-13-(Which-are-correct-sigma-properties-).xml
8-2-14-(Arithmetic-and-geometric-series).xml
8-2-15-(Example-of-finding-number-of-terms-in-a-sum).xml
8-2-16-(Sum-of-AP-given-terms).xml
8-2-17-(How-many-terms-Hence-eval).xml
8-2-18-(Summing-geometric-progressions).xml
8-2-20-(Sum-a-GP).xml
8-2-21-(Sum-GP-where-num-terms-is-not-given).xml
8-2-22-(Find-sum-of-GP-(with-surds)).xml
8-2-23-(GP-Evaluate-partial-sum).xml
8-2-24-(Power-series).xml
8-2-25-(Sum-of-squares-1).xml
8-2-26-(Sum-of-squares-2).xml
8-2-27-(Sum-of-squares-3).xml
8-2-28-(Lin-comb-of-sum-of-squares).xml
8-2-29-(Power-series-properties).xml
8-2-30-(Express-A-(1+x^2)-as-power-series-(final-step-only)).xml
8-3-1-(Limits-of-sequences).xml
8-3-2-(Example-of-finding-limits).xml
8-3-3-(Limit-from-recurrence-relation).xml
8-3-4-(Limit-from-recurrence-relation-2).xml
8-3-5-(Does-limit-exist-limit-from-recurrence-relation).xml
8-3-6-(Does-limit-exist-limit-from-recurrence-relation-2).xml
8-3-7-(Given-limit-find-value).xml
8-3-8-(Infinite-series).xml
8-3-9-(Example-of-infinite-series).xml
8-3-9-(Infinite-sum-1).xml
8-3-10-(Sum-to-infinity-2016-LEAPS-W6-GeoSer-2).xml
8-3-11-(Which-geo-series-have-a-sum-).xml
8-3-12-(Infinite-sum-2).xml
8-3-13-(Convergence-tests).xml
8-3-14-(Example-of-geometric-and-p-series-convergence).xml
8-3-15-(Example-using-divergence-test).xml
8-3-16-(Proof-that-sum-1-n-diverges).xml
8-3-17-(Divergence-test).xml
8-3-18-(Divergence-test-2).xml
8-4-1-(Applications-of-sequences-and-series---introduction).xml
8-4-2-(History-of-sequences-and-series).xml
8-4-3-(Application---Zeno).xml
8-4-4-(Limit-of-geometric-series).xml
8-4-5-(Limit-of-geometric-series-2).xml
8-4-6-(Sequences-in-nature).xml
8-4-7-(Fibonacci-rabbits).xml
8-4-8-(Fibonacci-rabbits-2).xml
PT-8-1-(Write-a-recurrence-relation-for-a-given-sequence).xml
PT-8-2-(Smallest-n-to-make-sum-exceed-N).xml
PT-8-3-(First-4-terms-of-sequence).xml
PT-8-4-(Find-recurrence-relation).xml
PT-8-5-(Classify-sequences-from-terms).xml
PT-8-6-(Sum-to-infinity-2016-LEAPS-W6-GeoSer-2).xml
PT-8-7-(Given-terms-find-u_n-gp).xml
PT-8-8-(GP-Evaluate-partial-sum).xml
PT-8-9-(Infinite-sum-1).xml
PT-8-10-(Sum-of-ax+b,-plus-sigma-properties).xml
PT-8-11-(Give-examples-with-properties).xml
PT-8-12-(Express-A-(x+B)-as-power-series).xml
Week-09---The-Binomial-theorem
9-0-1-(Factorial-notation).xml
9-0-2-(Evaluate-factorial).xml
9-0-3-(Evaluate-factorial-2).xml
9-0-4-(Evaluate-factorial-3).xml
9-0-5-(Factorial-sum-as-product).xml
9-0-6-(Express-fraction-in-terms-of-factorials).xml
9-0-7-(Pascals-triangle).xml
9-0-8-(Find-entry-in-Pascal).xml
9-0-9-(Find-entry-in-Pascal-2).xml
9-0-10-(Find-entry-in-Pascal-3).xml
9-0-11-(Binomial-coefficients).xml
9-0-12-(Evaluate-binomial-(scaffolded)).xml
9-0-13-(Evaluate-binomial-(scaffolded)-2).xml
9-0-14-(Evaluate-binomial-(scaffolded)-3).xml
9-0-15-(Evaluate-binomial).xml
9-0-16-(Evaluate-binomial-2).xml
9-1-1-(Permutations).xml
9-1-2-(Example-of-calculating-permutations).xml
9-1-4-(Forming-permutations-of-words).xml
9-1-5-(Factorial-simplifications).xml
9-1-6-(Tourist-itineraries-permutations).xml
9-1-7-(Permutations-of-marbles).xml
9-1-8-(Permutations-of-mathematics).xml
9-1-9-(Rearranging-word-permutation).xml
9-1-10-(Restricted-permutations-of-mathematics).xml
9-1-11-(Combinations).xml
9-1-12-(Example-of-calculating-combinations).xml
9-1-13-(Choosing-student-societies-combinations).xml
9-1-14-(Groupings-of-students-combinations).xml
9-1-15-(Groupings-of-students-combinations-2).xml
9-1-16-(Formal-counting).xml
9-1-17-(Proof-of-binomial-coefficient-formula).xml
9-1-18-(Evaluate-binomial-(scaffolded)-4).xml
9-1-19-(Combinations-number-of-theorems).xml
9-1-20-(Evaluate-binomial-3).xml
9-2-1-(Binomial-expansions).xml
9-2-2-(Find-x^4-term).xml
9-2-3-(Find-term-in-x^k-in-(x+y)^10).xml
9-2-4-(Coefficient-in-expansion-of-2-brackets).xml
9-2-5-(Binomial-).xml
9-2-6-(Expand-brackets-simple).xml
9-2-7-(Coefficients-of-binomial-expansions).xml
9-2-8-(Expand-brackets-coefficient-of-y).xml
9-2-9-(Expand-brackets-no-y).xml
9-2-10-(Expand-brackets-alternating-sign).xml
9-2-11-(Fractional-and-negative-powers).xml
9-2-12-(Examples-of-negative-power-binomial).xml
9-2-13-(Expand-up-to-nth-term).xml
9-2-14-(Binomial-expansion-negative).xml
9-2-15-(Binomial-expansion-fraction).xml
9-2-16-(Finding-specific-coefficients).xml
9-2-17-(Example-of-finding-a-term-in-binomial-expansion).xml
9-2-19-(Find-coefficient-x^k).xml
9-2-20-(Find-a-if-know-coef-of-x^k).xml
9-2-21-(General-term-of-binomial).xml
9-2-22-(General-term-of-binomial-2).xml
9-2-23-(General-term-of-binomial-3).xml
9-3-1-(Binomial-theorem).xml
9-3-2-(Binomial-term-independent-of-x).xml
9-3-3-(Binomial-term-independent-of-x-2).xml
9-3-4-(Expand-binomial---(2-3x)^4-type).xml
9-3-5-(Expand-binomial---(2x+3)^4-type).xml
9-3-6-(Expand-binomial---(2x-1)^4-type).xml
9-3-7-(Binomial-theorem-with-partial-fractions).xml
9-3-8-(Proof-of-partial-fractions-for-two-linear-factors).xml
9-3-9-(Partial-fractions-2-linear-factors-(a-complete-the-final-step)).xml
9-3-10-(Partial-fractions-2-linear-factors-(b-complete-final-two-steps)).xml
9-3-11-(Partial-fractions-2-linear-factors-(c-no-scaffolding)).xml
9-3-12-(Partial-franctions---repeated-linear-factors).xml
9-3-13-(Partial-fractions-repeated-linear-factors-(complete-final-two-steps)).xml
9-3-14-(General-partial-fractions).xml
9-3-15-(Partial-fractions-1lin-1quad).xml
9-3-16-(Partial-fractions-1lin-1quad-2).xml
9-3-17-(Partial-fractions-(improper,-2-linear-factors)).xml
9-3-18-(Partial-fractions-(improper,-2-linear-factors)-2).xml
9-3-18-(Problem-solving-with-binomial-theorem).xml
9-3-19-(Which-is-the-correct-partial-fraction-decomposition-(linear-sq-with-irred-quad)).xml
9-3-20-(Which-is-the-correct-partial-fraction-decomposition-2).xml
9-4-1-(Applications-of-the-binomial-theorem---introduction).xml
9-4-2-(History-of-the-binomial-theorem).xml
9-4-3-(Applications---probability).xml
9-4-4-(Definition-of-binomial-experiments-and-distribution).xml
9-4-5-(Example-of-calculating-binomial-probability).xml
9-4-6-(Find-Binomial-probability).xml
9-4-7-(Find-Binomial-probability-2).xml
9-4-8-(Find-Binomial-probability-3).xml
9-4-9-(Find-Binomial-probability-4).xml
9-4-10-(Application---finance).xml
9-4-11-(Find-Binomial-probability-borrowing-money).xml
PT-9-1-(Evaluate-factorial-2).xml
PT-9-2-(Evaluate-binomial-(scaffolded)).xml
PT-9-3-(Find-entry-in-Pascal).xml
PT-9-4-(Which-is-the-correct-partial-fraction-decomposition-).xml
PT-9-5-(Choosing-student-societies-combinations).xml
PT-9-6-(Tourist-itineraries-permutations).xml
PT-9-7-(Factorial-simplifications).xml
PT-9-8-(Expand-up-to-nth-term).xml
PT-9-9-(General-term-of-binomial-2).xml
PT-9-10-(Expand-brackets-coefficient-of-y).xml
PT-9-11-(Binomial-).xml
PT-9-12-(Partial-fractions-1lin-1quad).xml
Week-10---Calculus-Concepts
10-0-1-(Rates-of-change).xml
10-0-2-(Constant-rate-of-change).xml
10-0-3-(Variable-rates-of-change).xml
10-0-4-(Average-rate-of-change).xml
10-0-5-(Instantaneous-rates-of-change).xml
10-0-6-(Limits).xml
10-0-8-(Finding-limits-trig).xml
10-0-9-(Finding-limits-trig-2).xml
10-0-10-(Finding-limits-rational).xml
10-0-11-(Finding-limits-rational-2).xml
10-0-12-(Finding-limits-quadratic-over-linear).xml
10-0-13-(Finding-limits-quad-over-quad).xml
10-0-14-(Finding-limits-quad-over-quad-2).xml
10-0-15-(Finding-limits-quad-over-cube).xml
10-0-16-(Gradient-of-a-tangent).xml
10-0-17-(Example-of-finding-gradient-at-particular-point).xml
10-0-18-(Finding-gradient-of-tangent-at-a-point-one-power).xml
10-0-19-(Finding-gradient-of-tangent-at-a-point-one-power-2).xml
10-0-20-(Finding-gradient-of-tangent-at-a-point-power---const).xml
10-0-21-(Finding-gradient-of-tangent-at-a-point-polyn).xml
10-1-1-(Derivatives-from-first-principals).xml
10-1-2-(Definition-of-the-derivative).xml
10-1-4-(Finding-derivatives-from-first-principals).xml
10-1-5-(Derivative-rules).xml
10-1-6-(Diff-of-one-power).xml
10-1-7-(Differentiate-constant).xml
10-1-8-(Diff-fractional-power).xml
10-1-9-(Trig-derivatives).xml
10-1-11-(Diff-poly-and-trig).xml
10-1-12-(CR-Diff-02-linearity-1-b-edited).xml
10-1-13-(CR-Diff-02-linearity-2-a).xml
10-1-14-(Derivatives-of-exp-and-log).xml
10-1-15-(Finding-derivatives).xml
10-1-16-(Diff-sum-of-trig).xml
10-1-17-(Linearity-of-differentiation).xml
10-1-18-(Diff-quadratic-CAP-W2-Q04-used-edited).xml
10-1-19-(Expand-and-diff-CAP-W2-11-unused-edited).xml
10-1-20-(Non-differentiable-function).xml
10-1-22-(nth-deriv-of-n-1-poly).xml
10-2-1-(Higher-derivatives).xml
10-2-2-(General-power-CAP-W10-Q16-edited).xml
10-2-3-(Diff-poly-CAP-W2-09-unused-edited).xml
10-2-4-(High-deriv-of-exp).xml
10-2-5-(ODE).xml
10-2-6-(ODE-2).xml
10-2-7-(Second-deriv-of-quartic).xml
10-2-8-(Second-deriv-of-quartic).xml
10-2-8-(Tangents-and-normals).xml
10-2-9-(Example-of-finding-equation-of-tangent-line).xml
10-2-10-(Tangent-lines).xml
10-2-11-(Big-slope-of-quadratic).xml
10-2-12-(More-tangent-lines).xml
10-2-13-(Tangent-lines-2).xml
10-2-14-(Normal-to-a-curve).xml
10-2-15-(Example-of-finding-normal-to-a-curve).xml
10-2-16-(Normal-lines).xml
10-2-17-(Normal-lines-2).xml
10-2-18-(Shape-of-curves).xml
10-2-19-(Graphs-of-derivs).xml
10-2-20-(Stationary-points-and-zeros).xml
10-2-21-(Match-function-and-deriv-CAP-W3-Q24-used).xml
10-2-22-(MCQ-statements-about-inc-dec-stat).xml
10-2-23-(Trig-stationary-points-2).xml
10-2-24-(Find-stationary-points-of-cubic).xml
10-2-25-(Integrate-linear-function).xml
10-2-26-(Solve-for-cubic-coeff-given-stat-point).xml
10-2-27-(Trig-stationary-points).xml
10-3-1-(Areas-under-curves).xml
10-3-2-(Understanding-Riemann-sums-(x^2-on-[0,6])).xml
10-3-3-(Understanding-Riemann-sums-(x^2+1-on-[0,1])).xml
10-3-4-(Riemann-sums-2).xml
10-3-5-(Definitie-integral-definition).xml
10-3-6-(Forming-integrals-to-represent-areas).xml
10-3-7-(Use-area-interpretation-to-find-definite-integral).xml
10-3-8-(Antiderivatives).xml
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10-3-10-(Give-an-antideriv-of-exp(k-x)).xml
10-3-11-(Fundamental-theorem-of-calculus).xml
10-3-12-(Example-of-calculating-a-definite-integral).xml
10-3-13-(Definite-integral-(power)-Q19-CR-Int-12-definite-1-b-(modified)).xml
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10-3-15-(Definite-integral-exp).xml
10-3-16-(Definite-integral-constant).xml
10-3-17-(Indefinite-integrals).xml
10-3-18-(Which-are-correct-antiderivs).xml
10-3-19-(Indef-x^n-(easy-powers)-CR-Int-10-basic-1-n).xml
10-3-20-(Standard-antiderivatives).xml
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10-3-22-(Indef-int-1-sqrt(x)^n-).xml
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10-3-24-(Integrand-property-1).xml
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10-3-29-(Definite-integral-(quadratic)-CR-Int-12-definite-3).xml
10-3-30-(Definite-integral---find-limit).xml
10-3-31-(T-F-properties-of-integrals).xml
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10-3-34-(Indef-sum-of-x^fraction-CR-Int-11-linearity-1-c).xml
10-3-35-(Give-example-of-fn-with-nonneg-integral).xml
10-3-36-(Definite-integral---find-limit).xml
10-3-37-(Area-enclosed-(quadratic)).xml
10-4-1-(Applications-of-the-calculus---introduction).xml
10-4-2-(History-of-calculus).xml
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10-4-4-(Example-of-solving-force-problem).xml
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