Mathematics Module 2

Basic Knowledge: Rationalization Summation Notation Mathematical Induction Binomial Theorem

Basic Trigonometry: Radian Cosec, Sec and Cot

Formulas in Trigonometry: Compound Angle Double Angle Sum and Product

Matrices: Basic Knowledge Multiplication Determinants Inverse

Systems of Linear Equations: Inverse Method Cramer's Rule Gaussian Elimination

Introduction to Vectors: Basic Knowledge Coordinate System Division of a Line Segment

Vector Products: Scalar Product Vector Product Scalar Triple Product

Limits: Basic Concepts the Number e

Differentiation: Concepts and Rules Chain Rule Proof of Chain Rule Trigo. Exp. and Log.

Applications of Differentiation: Tangents and Normals Local and Global Extrema Concavity and Points of Inflexion Asymptotes Curve Sketching Rates of Change

Indefinite Integration: Basic Concepts Substitution Integration by Parts Trigo. Trigo. Substitutions

Definite Integration: Basic Concepts Proof of Fundamental Theorem Substitution Integration by Parts Odd / Even / Periodic Functions Area Volume