# عائشه يونس البراك

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Test Book: Precalculus: Functions and Graphs (McGraw Hill), 6th Edition.

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)

الخطة لدراسية لمقرر 140 ريض

 جامعة الملك سعود السنة التحضيرية قسم مهارات الرياضيات مقرر ريض (140) Syllabus and Contents of Math 140 (2+1 hours)

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 Self-learning 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 1-6 , 7-12 ,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

[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).