Overview of the module

Dear students, this module has 4 units namely: Relations and Functions, Polynomial functions, Exponential and Logarithmic Functions, Trigonometric functions, respectively. Each of the units is composed of introduction, objectives, lessons, key terms, and review exercises. Each unit is basically lesson based, and each lesson has four components: Brainstorming question, Definition, Examples, and exercises. The most important part in this process is to practice problems by yourself.

Brainstorming: This part of the lesson demands you to revise what you have learnt or stimulate your background knowledge on the topic. It also introduces you to what you are going to learn in a new lesson topic.

Definition/Theorem/Note: This part presents and explains to you new concepts.

Example and Solution: In this part, you need to attempt and internalize the examples by yourself and carefully follow their steps in the solutions.
Exercise: Under this part of the material, you will solve the exercises and questions individually, in pairs or groups to practice what you learnt in the examples.

Module Outcomes/objectives

At the end of this module, you will be able to:

• Define relation, function, polynomial function, exponential and logarithmic function and reciprocals of basic trigonometric functions.
• Identify types of functions.
• Sketch graphs of various types of relations and functions and basic trigonometric functions.
• Perform the four fundamental operations on polynomials.
• Apply theorems on polynomial functions to solve related problems.
• Determine the rational and irrational zeros of polynomials.
• Apply the laws of exponents for real exponents.
• Solve mathematical problems involving exponents and logarithms.
• Solve some examples of real-life problems involving trigonometric equations.
• Conceptualize theorems on special triangles.

Module Content

Unit 1 Relations and Functions

Unit 2 Polynomial Functions

2.1 Definition of Polynomial Function
2.2 Theorem on polynomial functions
2.3 Graphs of polynomial functions

Unit 3 Exponential and Logarithmic Functions

3.1 Exponents and Logarithms
3.2 The Exponential Functions and Their Graphs
3.3 Solving Exponential and Logarithmic Equations

Unit 4 Trigonometric Functions

4.1 Radian Measure of angle
4.2 Basic Trigonometric Function
4.3 Trigonometric Identities & Equation