Further Mathematics Study Notes

Introduction to Complex Numbers

50 min read

Argand Diagrams and Geometric Representation

50 min read

Modulus-Argument Form and Polar Form

55 min read

De Moivre's Theorem

55 min read

Roots of Unity and Complex Polynomials

55 min read

Loci in the Complex Plane

55 min read

Matrix Operations and Algebra

50 min read

Determinants and Their Properties

55 min read

Inverse Matrices

55 min read

Linear Transformations in 2D and 3D

60 min read

Eigenvalues and Eigenvectors

60 min read

Systems of Linear Equations

55 min read

Proof by Mathematical Induction

55 min read

Summation of Series: Method of Differences

55 min read

Maclaurin Series

55 min read

Polar Coordinates

55 min read

Hyperbolic Functions

55 min read

Further Differential Equations

60 min read

Poisson Distribution

55 min read

Continuous Random Variables

55 min read

Chi-Squared Tests

55 min read

Non-parametric Tests

55 min read

Confidence Intervals

55 min read

Probability Generating Functions

60 min read

Momentum and Impulse in 2D

55 min read

Elastic Collisions

55 min read

Elastic Strings and Springs

55 min read

Circular Motion: Vertical Circles

55 min read

Simple Harmonic Motion: Advanced

55 min read

Dimensional Analysis

45 min read