Mathematics Module 1

Basic Knowledge: Summation Notation Binomial Theorem

Limits: Basic Concepts the Number e

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

Applications of Differentiation: Tangents and Normals Local and Global Extrema Rates of Change

Indefinite Integration: Basic Concepts Substitution

Definite Integration: Basic Concepts Proof of Fundamental Theorem Substitution Trapezoidal Rule

Probability: Laws of Probability Bayes' Theorem Random Variables Expectation and Variance E(X+Y) and Var(X+Y) Binomial Distribution Poisson Distribution Normal Distribution

Statistics: Sampling Distribution of X̄ Point Estimation of μ and σ Confidence Interval for μ