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:
|
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,(8,9) |
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 |
|