Year | Strand | Topic | Link |
---|---|---|---|

1 | Pure Core | Matrices | Addition and Multiplication of Matrices |

1 | Pure Core | Matrices | Multiplying Nonsquare Matrices |

1 | Pure Core | Matrices | Determinants and Inverses of 2×2 Matrices |

1 | Pure Core | Matrices | Determinants and Inverses of 3×3 Matrices |

1 | Pure Core | Matrices | Intro To Matrix Transformations |

1 | Pure Core | Matrices | Enlargements and Stretches |

1 | Pure Core | Matrices | Rotations and Reflections |

1 | Pure Core | Matrices | Shears |

1 | Pure Core | Matrices | Order of Multiple Transformations |

1 | Pure Core | Matrices | 3d Matrix Transformations |

1 | Pure Core | Matrices | Visualising 3D Transformations |

1 | Pure Core | Matrices | Invariant Lines and Points |

1 | Pure Core | Proof By Induction | Proof By Induction (Divisibility) |

1 | Pure Core | Proof By Induction | Proof By Induction (Recurrence Relations) |

1 | Pure Core | Proof By Induction | [To be uploaded] |

1 | Pure Core | Proof By Induction | Proof By Induction (Inequalities) |

1 | Pure Core | Complex Numbers | [To be uploaded] |

1 | Pure Core | Roots of Polynomials | [To be uploaded] |

1 | Stats | Combinatorics | Permutations And Combinations |

1 | Stats | Discrete Random Variables | Expectation and Standard Deviation of Discrete Random Variables |

1 | Stats | Discrete Random Variables | Variance and Expectation of Coded Data |

1 | Stats | Probability Distributions | Binomial Distribution |

1 | Stats | Probability Distributions | Geometric Distribution |

1 | Stats | Probability Distributions | Poisson Distribution |

1 | Stats | Probability Distributions | Sum of Two Poisson Distributions |

1 | Stats | Probability Distributions | Discrete Uniform Distribution |

1 | Stats | Correlation and Regression | PMCC |

1 | Stats | Correlation and Regression | Spearman’s Rank |

1 | Stats | Correlation and Regression | Least Squares Regression Line |

1 | Stats | Correlation and Regression | The Effects of Coding on the Regression Line |

1 | Stats | Correlation and Regression | Hypothesis Testing for Correlation Coefficients |

1 | Stats | Chi-Squared Tests | Chi-Squared Tests for Goodness of Fit |

1 | Stats | Chi-Squared Tests | Chi-Squared Tests for Independence |

1 | Stats | Chi-Squared Tests | Yates’ Correction |

2 | Pure Core | Complex Numbers | Exponential Form of Complex Numbers |

2 | Pure Core | Complex Numbers | DeMoivres Theorem and Application to Series |

2 | Pure Core | Complex Numbers | DeMoivres Theorem and Application to Trig |

2 | Pure Core | Calculus | Differentiating Inverse Trig Functions |

2 | Pure Core | Calculus | Differentiating Inverse Hyperbolic Functions |

2 | Pure Core | Calculus | Improper Integrals |

2 | Pure Core | Calculus | Mean Value of a Function |

2 | Pure Core | Calculus | Volumes of Revolution |

2 | Pure Core | Calculus | Maclaurin Expansion |

2 | Pure Core | First Order Differential Equations | The Integrating Factor Method for FODEs |

2 | Pure Core | First Order Differential Equations | Sketching Families of Solutions for FODEs |

2 | Pure Core | First Order Differential Equations | Forming FODEs Using Substitution |

2 | Pure Core | Second Order Differential Equations | Homogeneous SODEs |

2 | Pure Core | Second Order Differential Equations | Nonhomogeneous SODEs and Boundary Conditions |

2 | Pure Core | Modelling With Differential Equations | Simple Harmonic Motion |

2 | Pure Core | Modelling With Differential Equations | Damped and Forced Harmonic Motion |

2 | Pure Core | Modelling With Differential Equations | Coupled First Order Simultaneous Differential Equations |

2 | Stats | Continuous Random Variables | Probability Density Functions and Cumulative Distribution Functions |

2 | Stats | Continuous Random Variables | Mean and Variance of CRVs |

2 | Stats | Continuous Random Variables | Mode, Median and Skewness of CRVs |

2 | Stats | Continuous Random Variables | Continuous Uniform Distribution |

2 | Stats | Continuous Random Variables | Exponential Distribution |

2 | Stats | Combinations of Random Variables | Combining Normal and Poisson Random Variables |

2 | Stats | Combinations of Random Variables | Functions of CRVs |

2 | Stats | Combinations of Random Variables | Proof of Variance and Expectation of Sums |

2 | Stats | Hypothesis Tests for Mean | Estimating Population Parameters |

2 | Stats | Hypothesis Tests for Mean | Central Limit Theorem |

2 | Stats | Hypothesis Tests for Mean | Confidence Intervals |

2 | Stats | Chi-Squared Tests | Goodness of Fit Tests |

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