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 |