Mathematics

Coordinate Geometry
Points, lines, and circles in the coordinate plane Trigonometry
Advanced trigonometric functions and identities Polynomials & Partial Fractions
Advanced algebraic manipulation Differentiation
Derivative rules and applications Integration
Integration techniques and applications Binomial Expansions
Binomial theorem and applications Vectors in 2D
Two-dimensional vector operations Matrices & Vectors
Matrix operations and linear algebra Functions
Power, exponential, logarithmic, and modulus functions Eigenvectors
Linear algebra eigenvalue problems

Coordinate Geometry
Basic coordinate plane concepts Algebraic Expressions
Special algebraic identities and formulas Geometry
Angles, triangles, and polygon properties Quadratic Equations
Quadratic formula and applications Pythagoras & Trigonometry
Basic trigonometric ratios and applications Statistics
Data analysis and probability Congruence & Similarity
Geometric transformations and relationships Circle Properties
Circle theorems and applications Equations
Solving various equation types Indices & Surds
Powers, roots, and surds

Numbers & Operations
Basic number theory and arithmetic Percentage
Percentage calculations and applications Ratio & Proportion
Ratios, proportions, and scales Rate & Speed
Time, distance, and speed problems Mensuration
Area, perimeter, and volume calculations Real World Problems
Practical mathematics applications

Set Language & Notation
Set theory symbols and operations Geometric Proofs
Formal proofs in plane geometry Trigonometric Graph Transformations
Advanced trigonometric function analysis Normal Equations
Normal equation methods and applications Binomial Distribution Validity
Statistical distribution analysis Random Variables
Probability and random processes