# GRAPHS AND FUNCTIONS

Graphs and Functions are very important components that play similar or rather unifrom roles in understanding mathematics. Functions arise to represent or describe some physically exisitng phenomenan in the form of equations whereas graphs.

Objectives
 The following are the main objectives of this unit. Introduction to functions Real Numbers Linear Functions Quadratic Functions Find the Roots of Linear Functions Find the Roots of Quadratic Functions

# VECTORS

Vectors play a very important role in Mathematics

Objectives
 Main Objectives of this Unit are: Scalar and Vector Quantities Addition and Subtraction of Vectors Multiplication and Division of Vectors One-Dimensional Vectors Two Dimensional Vectors

# LOGARITHMS AND EXPONENTIAL FUNCTIONS

Logarithms and Exponential functions have wide range of applications from engineering to econiomics and even in biology. ((Objectives| The Objectives of this unit are:

• Addition of Logarithimic and Exponential Functions
• Subtraction of Logarithimic and Exponential Functions
• Multiplication of Logarithimic and Exponential Functions
• Division of Logarithimic and Exponential Functions

# TRIGONOMETRIC FUNCTIONS

One of the unique group of functions are the Trigonometric Functions.

Objectives
 The main objectives of this unit are: The Sine Function The Cosine Function The Tangent Function The Inverse Trig Functions

# SEQUENCES AND SERIES

Sequences and Series play very important roles in Mathematics.

Objective
 The main objectives of this unit are: Defining Sequences The Nth Term Defining Series Geometric Progression Arithmetic Progression The Sum of Series

# INTRODUCTION TO CALCULUS

Calculus is a course in Mathematics that deals with applied problems.

Objectives
 The Tangent Line Tagent or Gradient from First Principles The Derivative of a Curve