مبادئ الرياضيات (ريض 130)

الخطة الدراسية لمقرر 130 ريض

Syllabus and Contents of Math 130
Principles of Mathematics
2Credit Hours
Humanities Track

Text Book: Precalculus, Math 130 First addition. (A Custom publication to KSU)

Authors: J.S.Ratti and Marcus McWaters. The book is compiled by Math Skills
Department., PY, KSU

Year: 2010, First Published

Course Coordinator: Said Khaled Titi

E-mail: [e-mail]

The Student should study the following topics:
The Real Numbers and their Properties, Integer Exponent and Scientific Notation, Polynomials, Factoring Polynomials, Rational Expressions, Rational Exponents and Radicals. Linear Equations in One Variable, Complex Numbers, Quadratic Equations, Linear Inequalities, Polynomial and Rational Inequalities, Equations and Inequalities Involving Absolute Value. Relations and Functions, a Library of Functions, Combining Functions and Composite Functions. Exponential Functions, Natural Exponential Functions, Logarithmic Functions, Properties of Logarithms, Exponential and Logarithmic Equations. Angles and their Measure, Right Triangle Trigonometry, Trigonometric Functions of Any Angles. Matrix and Systems of Equations, Matrix Algebra.
Objectives

• Classify, ordering real numbers.
• Use interval notation.
• Evaluate algebraic expression.
• Use integer exponent.
• Use rules of exponent.
• Add, subtract and multiply polynomials.
• Factor polynomials.
• Add, subtract, multiply and divide rational expression.
• Simplify square roots.
• Rationalize denominators and numerators.
• Solve linear equations in one variable.
• Define a complex number.
• Add, subtract and multiply complex numbers.
• Solve quadratic equations.
• Solve and graph linear inequality.
• Solve equation and inequality involving absolute value.
• Sketch a graph by plotting points.
• Find the equation of a circle.
• Define a relation and a function.
• Find the domain of a relation and a function.
• Define exponential and logarithmic functions.
• Solve exponential and logarithmic equations.
• Use the vocabulary associated with angels.
• Evaluate trigonometric functions of acute angles.
• Evaluate trigonometric functions of any angle.
• Use fundamental trigonometric identities to evaluate trigonometric functions.
• Solve trigonometric equations.
• Define a matrix.
• Use Gaussian elimination to solve a system.
• Define matrix addition and multiplications.

Assessment Tasks for Students During the Semester
Assessment Assessment task Week due Proportion of Final Assessment
1 Mid Term exam 8 30%
2 Quizzes & Activities Each week 10%
3 Self-learning Each week 10%
4 Final Exam 16 50%
5 The Total Degrees 16 100%

Content
Chapter 0: Basic Concepts Of Algebra
P.1 The Real Number and Their Properties
P.2 Integer Exponent and Scientific Notation
P.3 Polynomials
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
Chapter 1: Equations and Inequalities
1.1 Linear Equations In One Variable
1.2 Complex Numbers
1.3 Quadratic Equations
1.5 Linear Inequalities
1.6 Equations and Inequalities Involving Absolute Value
Chapter 2: Graphs and Functions
2.1 Graphs of Equations
2.2 Relations and Functions
Chapter 3: Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 The Natural Exponential Functions
3.3 Logarithmic Functions
3.4 Properties of Logarithms
Chapter 4: Trigonometric Functions
4.1 Angles and Their Measure
4.2 Right Triangle Trigonometry
4.3 Trigonometric Functions of Any Angles
Chapter 6: Matrix and Determinants
6.1 Matrix and Systems of Equations
6.2 Matrix Algebra

Weakly Plan
Week Content
1 The Real Number and Their Properties
2 Integer Exponent and Scientific Notation
3 Polynomials
Factoring Polynomials
4 Rational Expressions
Rational Exponents and Radicals
5 Linear Equations In One Variable
Complex Numbers
6 Quadratic Equations
7 Linear Inequalities
8 Equations and Inequalities Involving Absolute Value
9 Graphs of Equations
Relations and Functions
10 Exponential Functions
The Natural Exponential Functions
11 Logarithmic Functions
Properties of Logarithms
12 Angles and Their Measure
Right Triangle Trigonometry
13 Trigonometric Functions of Any Angles
14 Matrix and Systems of Equations
Matrix Algebra
15 Review
16 Final Exam

Week Section Examples Exercises for Teacher Exercises for Students
1 P.1 The Real Numbers and Their Properties 1,2,3,4,5,6,7,8,9,11 7,12,17,24,39,41,43,45,47,49,51, 53,63, 77, 85, 141 11,18,40,42,44,46,48,50,52,54,66, 80, 84, 144
2 P.2 Integer Exponents and Scientific Notation 1,2,3,4,5,6,7,8 43,59,69 46, 60, 74
3 P.3 Polynomials 2,3,4,5,6,7,8 15, 25,46,61 19, 28,45,62
P.4 Factoring Polynomials 1,2,3,4,5,6,8,9 7,20,27,43,51 13,22,32,44,58
4 P. 5 Rational Expressions 2,3,4,5,8 8,14,20 10,15,
P.6 Rational Exponents and Radicals 1,2,4,5,6,7,8,9,10,11,13 1,7,13,17,25,33,39,45,49,53,61,67,77,83 5,10,14,20,28,36,40,46,51,55,64,70,80,84
5 1.1 Linear equations in one variable 1,2,3,4,5 1,3,7,9,10,21,27,32,43, 2,5,8,11,34,45,53
1.2 Complex Numbers 1,2,3,4,5,6,7 1,3,5,7,9,11,13,17,21,25,29,35,41,43,
49,51,63 2,4,8,10,12,18,22,26,30,36,42,44,50,54,71
6 1.3 Quadratic Equations 1,2,3,4,5,7,8,9 1,4,6,7,15,17,23,37,43,47,59,71,79 3,5,8,19,22,40,44,50,60,76,86
7 1.5 Linear Inequalities 1,3,4,5,6,8 1,8,11,15,19,25,31,36,41,51,59,67,83,85 4,9,14,18,22,26,34,38,52,60,68,84
8 1.6 Equations and Inequalities Involving Absolute Value 1,2,3,4,6,7 1,3,5,7,11,15,35,45,53 6,10,14,18,36,46,55
9 Graphs of Equations 1,2,3,7,8,9 4,7,12,15,17,19,21,57,61,72 5,9,16,18,59,62,71
2.2 Relations and Functions 1,2,3,4,6,7 1,2,6,8,15,19,23,29,35,37,39,61 3,7,9,11,16,24,31,36,38,40,62
10 3.1 Exponential Functions 1,2,3,4,5, 1,15,18,25,31,69 16,19,32,72
3.2 The Natural Exponential Function 6 23,29 24,30
11 3.3 Logarithmic Functions 1,2,3,4,5,6,9 8,10,19,23,29,31,35,41,45,53,57 7,9,20,24,30,34,38,43,46,54,58
3.4 Rules of Logarithms 1,2,3 1,5,19,39 2,6,20,40
12 4.1 Angles and Their Measure 1,2,3,4,6 7,11 8,12
4.2 Right Triangle Trigonometry 1,2,3,4,5,6 1,8,10,25,29 7,9,11,26,30
13 4.3 Trigonometric Functions of any Angle 1,2,3 1,7,11 8,12
14 6.1 Matrices and Systems of Equations 1,2,3,4,5,6,7,8 1,5,8,9,11,15,25 7,10,12,26
6.2 Matrix Algebra 1,2,3,4,5,7,8,9 1,7,11,15,18,23,31 2,8,10,16,20,27,33
15 Review
16 Final Exam