Text Book : Pre calculus : Functions and Graphs (McGraw Hill), 6th Edition.
(A Custom publication to KSU)
Authors: Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen.
The book is compiled by the instructor Dr. Samir H Saker (Math. Skills Dept., PY, KSU)
The Students Should Study the Following Topics:
Chapter 1: Equations and Inequalities
Linear equations and applications, Linear inequalities, Absolute value in equations and inequalities, Complex Numbers, Quadratic equations and applications.
Chapter 3: Functions
Functions, Graphing functions, Transformations of functions, Operations on functions, Odd and Even Functions,
Inverse functions
Chapter 5: Exponential and Logarithmic Functions
Exponential functions, Exponential Models, Logarithmic functions, Logarithmic Models, Exponential and logarithmic equations.
Chapter 6: Trigonometric Functions
Trigonometric functions: A unit circle approach, Solving right triangles, Properties of trigonometric functions including basic identities, Sign properties, Periodic functions, Reference triangle, Inverse trigonometric functions, Graphs of trigonometric functions
Chapter 9: Additional Topics in Analytical Geometry
Conic sections: Parabola, Ellipse, Hyperbola.
Chapter 10: System of Equations and Inequalities, Matrices
Solving systems of linear equations: Substitutions, Eliminations, Gauss Jordan Elimination, Matrices: Basic operations, System of linear equations.
Evaluation:
The Evaluation of the Students will be Continuous during the Course and depends on the following:
First Mid Term exam 
15 
Second Mid Term exam 
15 
Quizzes & Activities 
10 
Selflearning 
10 
Final Exam 
50 
The Total Degrees 
100 
This course is designed to give the student a more integrated approach to:
· Scientific and logical thinking skills,
· Computing skills,
· Recalling facts skills,
· Manipulating skills,
· Using manipulative and technology skills,
· Exploring skills,
· Hypothesizing skills,
· Inferring/concluding skills,
· Revising/revisiting/reviewing/reflecting skills,
· Making convincing arguments, explanations, and justifications skills,
· Using mathematical language, symbols, forms, and conventions skills,
· Explaining skills,
· Integrating narrative and mathematical forms skills,
· Interpreting mathematical instructions, charts, drawings, graphs skills,
· Representing a situation mathematically skills,
· Selecting and sequencing procedures skills,
· Appreciate the usefulness, power and beauty of Mathematics and recognize its relationship with other disciplines and with everyday life, General study skills.
Weekly Plan
Week 
Section(s) to be Covered 
1 
Basic Algebraic Operations: Real Numbers
Exponents, Radicals, Polynomials: Basic Operations
Polynomials: Factoring, Rational Expressions: Basic
Operations

2 
Linear Equations and Applications

3 
Linear Inequalities, Absolute Value in Equations and
Inequalities.

4 
Complex Numbers.
Quadratic equations and applications

5 
Functions

6 
Graphing Functions
Odd and Even Functions

7 
Operations on Functions, Inverse Functions

8 
Exponential Functions

9 
Logarithmic Functions
Exponential and Logarithmic Equations

10 
Solving Right Triangles

11 
Properties of Trigonometric Functions
Inverse Trigonometric Functions

12 
Parabola, Ellipse, Hyperbola

13 
Systems of Linear Equations in Two Variables

14 
Matrix Operations

15 
Review

16 
Final Exam

Contents
Chapter 
Section 
Examples 
Exercises for Teacher 
Exercises for the Student 
Chapter 1
Equations and Inequalities 
1.1 Linear equations and applications 
1,2,3 
1,4,6,11,15,19,
30,45,47 
2,5,9,16,23,46,
48 
1.2 Linear Inequalities 
1,2,3,4,5,6 
Example 1+ Matched 1
25,28,35,37,39, 43,53,79 
16 , 712 ,13,27,30,33,36,38,40,50,70,80 
1.3 Absolute Value in equations and inequalities. 
1,2,3,4,6,7,8 
19,23,28,29,32,39,41,43,59,
67,69,76,79 
27,33,35,37,45, 50,57,60,68,70,
75 
1.4 Complex Numbers 
1,2,4,5,7,8 
1,9,10,13,24,27,35,41,53,73,77 
3,7,8,17,23,28, 36,43,54,74,80 
1.5 Quadratic equations and applications 
1,2,5,6,7,10 
1,11,15,19,35,75,82 
3,8,18,24,37,77, 83/A 
Chapter 3
Functions 
3.1 Functions 
3,4,5 
2,4,28,51,65,67 
1,3,27,52,66,68 
3.2 Graphing Functions 
1,2,3,4,5 
1,3,5,7,19,24,30 
2,4,6,8,20,28,33 
3.3 Odd and Even Functions 
6 
33,37 
34,38 
3.5 Operations on Functions 
1,2,4,6 
5,21,34,39,50 
8,20,30,40,52 
3.6 Inverse Functions 
1,2 
1,5,17,23,47,55 
2,6,18,24,49,56,57 
Chapter 5
Exponential and Logarithmic 
5.1 Exponential Functions 
2, 4 
15,49,56 
14,18,50,55 
5.3 Logarithmic Functions 
2,3,4,5 
2,9,12,14,33,57,69,73,86,90,94, 94,107 
4,10,11,13,34,58
70,74,85,93,109 
5.5 Exponential and logarithmic equations 
1,2,4,5,7 
3,7,16,22,28,35,45 
5,8,15,21,27,38,48,52 
Chapter 6
Trigonometric Functions 
6.3 Solving Right Triangles 
(1,2,3) 


6.4 Properties of Trigonometric Functions 
1,2,3 
3,5,13,17,23,25,31,47,49,51,53,55 
4,6,16,18,24,26,34,48,50,52,54,56 
6.6 inverse trigonometric functions 
1,3,5 
1,5,21,23,27 
2,4,22,24,28 
Chapter 9
Conic sections 
9.1 Parabola 
1,2,3 
1,8,14,19,29,33 
4,9,16,22,30,36 
9.2 Ellipse 
1,2,3 
2,6,13,21,33 
3,5,14,22,34 
9.3 Hyperbola 
1,2,3,4 
5,13,21,29,33 
8,15,23,32,36 
Chapter 10
Systems Equations 
10.1 Systems of linear Equations in two variables 
1,2,3,4,5 
5,10,16,28 
6,9,14,18,27,29 
10.4 Matrix operations 
1,3,4,8 
2,4,8,16 
3,5,7,10,14,18,
22,24 
