# International islamic university malaysia course outline

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## Kulliyyah

Centre For Foundation Studies

## Department

Department of Health & Medical Sciences, Science Department, Engineering Department, Information and Communications Technology Department

## Programme

Allied Health Sciences, Dentistry, Medical, Nursing, Pharmacy, Biological Science, Physical Science, Engineering and Information and Communications Technology

Course Title

Mathematics I

Course Code

SHE1114

Status

Core

Level

1

Credit Hours

4

Contact Hours

5

Pre-requisites

(if any)

NIL

Co-requisites

(if any)

NIL

Instructional

Strategies

Lecture (3 hours)

Tutorial (2 hours)

Course Assessment

State weightage of each type of assessment.
 LO Method % 1,2,3,4,5,6 Tutorials / Presentation 10 1,2,3,4,5,6 Quizzes 10 1,2 Mid-Semester Examination 20 1,2,3,4,5,6 End-of-Semester Examination 60 Total 100

Instructor(s)

TBD

Semester Offered

Semester I and Semester II

Course Synopsis

This course covers topics on basic linear algebra, equations, inequalities, functions and their graphs, polynomial and rational functions, analyzing graphs, exponential and logarithmic functions, systems of linear equations and matrices.

Course Objectives

The objectives of this course are to:

1. apply mathematical terms, notations, principles and methods.

2. analyze, interpret and make mathematical decisions.

3. apply algebra and functions in the field of science, technology and social management.

4. develop understanding of mathematical concepts, applications and skills to analyze and solve problems so that students have a strong foundation to pursue studies in Biological and Physical Sciences, Medical, Pharmacy, Allied Health Sciences, Nursing, Dentistry and ICT programmes.

Learning Outcomes

Upon completion of this course, the student should be able to:

1. identify real numbers and equations, and apply these concepts to solve mathematical problems.

2. interpret functions and their algebraic equations into graphs using transformation method.

3. identify and analyze graphs of polynomial and rational functions.

4. determine real and complex zeros of a polynomial function.

5. identify properties of exponential and logarithmic functions and solve problems using these functions.

6. solve system of linear equations using row operations, determinants of matrices and inverse matrices (using row operation and adjoint method).

Content Outlines

Weeks

Topics

1 – 4

(1/6–26/6)

Chapter 1 : FUNDAMENTALS

1. Real Numbers

3. Algebraic Expressions

4. Rational Expressions

5. Equations

6. Inequalities

7. Complex Numbers

Chapter 1, 2 & 4

Quiz 1:

Tutorial 1:

5 – 7

(29/6 -15/7)

## GRAPHS

1. Functions

2. Properties of Functions

3. Graphs of Functions

4. Transformations of Functions

6. Operations on Functions; Composite Functions.

7. One to one Functions and Their Inverses

Chapter 5

Quiz 2:

Tutorial 2:

Mid Semester Exam: Week 8

7 – 9

(16/7–7/8)

Chapter 3: POLYNOMIAL &

RATIONAL FUNCTIONS

3.1 Polynomial Functions

3.2 Dividing Polynomial

3.3 The Real Zeros of a Polynomial Function

3.4 Complex Zeros of a Polynomial Function

3.5 Graphing Polynomial and Rational

Functions

Chapter 6 & 7

Quiz 3:

Tutorial 3:

10 – 11

(10/8-21/8)

Chapter 4 : EXPONENTIAL &

LOGARITHMIC FUNCTIONS

1. Exponential Functions

2. Logarithmic Functions

3. Laws of Logarithms

4. Logarithmic & Exponential Equations

Chapter 8

Quiz 4:

Tutorial 4:

12 – 14

(24/8-11/9)

Chapter 5 : SYSTEMS OF EQUATIONS

5.1 Matrices

5.2 Determinant

5.3 Systems of Linear Equations: Substitution

and Elimination

5.4 Systems of Linear Equations: Matrices

5.5 Systems of Linear Equations: Determinants

5.6 Systems of Linear Equations : Inverse

Chapter 9

Tutorial 5:

References

Required

Parveen Kausar Yacob etc, Cengage learning Asia Pte Ltd, 2009, Mathematics for Matriculation: Algebra.

Recommended

1)Steward, J., Redlin, L., & Watson, S. (2006). Precalculus.
USA: Thomson.

2)Sullivan, M. Precalculus. (2005), USA: Pearson Prentice Hall.

3)Earl Swokowski. Algebra and Trigonometry with Analytic Geometry,

10th Edition. Thomson Brooks/Cole

Proposed Start Date (Semester)

Semester 1 2009/2010

Batch of Students to be Affected

2009/2010 Intake

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