Text Book: Precalculus: 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)

Year: 2008 

http://www.mhhe.com/barnett

 (The first book on the web site)

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:

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

Contents

[1] . All information about Exponential Functions which is before example 1.

[2] . General Information about e Exponential Functions .

[3] . General Information about compound interest without using a calculator, just to recognize students some application about   Exponential Functions.

[4] . All information about Logarithmic Functions which is before example 1, and relation between Exponential Functions and Logarithmic Functions.

[5] . without using a calculator, you can use simple numbers to explain the examples.

[6]  It's will be the same Idea of all example, but the application of all will be produce to you as working Papers (without using a calculator)

[7] . It's will be the same Idea of this example, but the application will be produce to you as working Papers (without using a calculator)