I. PURE MATHEMATICS
1. Functions and Graphs
# Functions, Inverse Functions and Composite Functions
# Graphing Techniques
# Equations and Inequalities
2. Sequences and Series
# Summation of Series
# Arithmetic and Geometric Series
3. Vectors
# Vectors in Two and Three Dimensions
# The Scalar and Vector Products of Vectors
# Three-dimensional Vector Geometry
4. Complex Numbers
# Complex Numbers Expressed in Cartesian Form
# Complex Numbers Expressed in Polar Form
5. Calculus
# Differentiation and its Applications
# Maclaurin’s Series
# Integration Techniques
# Definite Integrals
# Differential Equations
II. STATISTICS
6. Permutations, Combinations and Probability
7. Binomial and Normal Distributions
# Discrete Random Variables
# Binomial Distribution
# Normal Distribution
8. Sampling and Hypothesis Testing
# Sampling and Estimation
# Hypothesis Testing
9. Correlation and Regression