PURE MATHEMATICS

1. Functions and Graphs
   • Functions, Inverse Functions and Composite Functions
   • Graphs and Transformations
   • Equations and Inequalities
2. Sequences and Series
   • Sigma Notation and Method of Differences
   • Arithmetic Series 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
   • Maclaurin’s Series
   • Integration Techniques
   • Definite Integrals
   • Differential Equations

STATISTICS

1. Permutations, Combinations and Probability
   • Permutations and Combinations
   • Probability
2. Binomial and Normal Distributions
   • Discrete Random Variables
   • Binomial Distribution
   • Normal Distribution
3. Sampling and Hypothesis Testing
   • Sampling
   • Hypothesis Testing
4. Correlation and Regression
   • Correlation and Linear Regression