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

# Correlation and Coefficient and Linear Regression