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College Algebra - Online Sections

I. COURSE DESCRIPTION
This course reviews the fundamental ideas of algebra including polynomials,
rational expressions, graphing, equations and inequalities, relations and functions,
and systems of first degree equations and inequalities.

II. PREREQUISITES:
Placement test or SUCCESSFUL completion of MTH 4

III. INTRODUCTION:
MTH 158 is designed to review and enhance the fundamental ideas and skills of
algebra. It is designed for the liberal arts and education student and as a transition
from developmental courses to other college credit courses.

IV. INSTRUCTIONAL MATERIALS:
Textbook: Algebra for College Students, 3rd Edition, by Allen Angel, 2008:
ISBN # 0-13-233418-6; Prentice Hall REQUIRED
The textbook must contain the access code for MyMathLab; this is packaged at no
additional cost with new textbooks with the above ISBN.
On the MyMathLab site, students will be able to access video lectures and guided
homework practice.

Scientific or graphing calculator REQUIRED

V. MATERIAL TO BE COVERED:

Chapter 1 (omit 1.2) 1 week
Chapter 2 (omit 2.6) 2 week
Chapter 3 1 ½ weeks
Chapter 4 (omit 4.2, 4.4 – 4.6) 1 week
Chapter 5 and 12.5 3 week
Chapter 6 (omit 6.6) 2 ½ weeks
Chapter 7 1 ½ weeks
Chapter 8 (omit 8.4) 1 ½ weeks
Chapter 9 (omit 9.3 – 9.7) 1 week

VI. BASIC CONCEPTS

Chapter 1: Basic Concepts

1.1 Study skills and Calculator Use Include orientation to MyMathLab
1.2 Omit  
1.3 Properties of and Operations with Real Numbers Review distributive property
1.4 Order of Operations Review division by zero and −x^2
1.5 Exponents  
1.6 Scientific Notation Interpreting calculator display

Chapter 2: Linear Equations and Inequalities in One Variable Emphasize applications

2.1 Solving Linear Equations  
2.2 Problem Solving and Using Formulas Include compound interest
2.3 Applications of Algebra Include geometic examples
2.4 Additional Application Problems  
2.5 Solving Linear Inequalities  
2.6 Omit  

Chapter 3: Graphs and Functions

3.1 Graphs Match non-linear equations to graphs
3.2 Fucntions Interpret graphs with stories
3.3 Linear Functions: Graphs and Applications  
3.4 Slope- Intercept Form of a Linear Equation  
3.5 Point- Slope Form of a Linear Equation  
3.6 OMIT  

Chapter 4: Systems of Equations and Inequalities

4.1 Solving Systems of Linear Equations in Two Variables
4.2 OMIT  
4.3 Applications and Problem Solving Two variable problems only
4.4 Omit  
4.5 Omit  
4.6 Omit  

Chapter 5: Exponents and Polynomials

5.1 Addition and Subtraction of Polynomials  
5.2 Multiplication of Polynomials  
12.5 Binomial Expansion May use Pascal’s triangle for coefficients .
  Factorial notation is not essential
5.3 Division of Polynomials Division by monomials only
5.4 Factoring a Monomial and Factoring by Grouping  
5.5 Factoring Trinomials Use either trial and error or grouping.
5.6 Special Factoring Formulas  
5.7 A General Review of Factoring Sections 5.4 – 5.7 should be review.
5.8 Polynomial Equations Review Pythagorean Theorem

Chapter 6: Rational Expressions and Equations

6.1 Domains of Rational Functions and Multiplication and Division of Rational Expressions
6.2 Addition and Subtraction of Rational Expressions  
6.3 Complex Fractions Include problems with negative exponents
6.4 Solving Rational Equations  
6.5 Applications and Problem Solving  
6.6 OMIT  

Chapter 7: Roots, Radicals, and Complex Numbers

7.1 Roots and Radicals  
7.2 Rational Exponents  
7.3 Simplifying Radicals  
7.4 Adding, Subtracting, and Multiplying Radicals  
7.5 Dividing Radicals  
7.6 Solving Radical Equations Use formula examples
7.7 Complex Numbers Review real number subsets

Chapter 8: Quadratic Functions

8.1 Completing the Square Only to show origin of quadratic formula
8.2 The Quadratic Formula  
8.3 Quadratic Equations: Applications and Problem Solving
8.4 OMIT  
8.5 Graphing Quadratic Functions Emphasize y-coordinate of vertex is
  easily found with f(-b/2a)
  Omit translations
8.6 Quadratic and Other Inequalities  

Chapter 9: Exponential and Logarithmic Functions

9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 OMIT
9.5 OMIT
9.6 OMIT
9.7 OMIT

VII. SUGGESTED WEEKLY SCHEDULE – 16 WEEK SEMESTER:

Remember that these topics should be primarily review.
Students who are weak in the prerequisites should not be allowed to slow down the class.

Week 1: 1.1 1.3, 1.4, 1.5, 1.6 Quiz 1
Week 2: 2.1, 2.2, 2.3  
Week 3: 2.4, 2.5 Quiz 2
Week 4: 3.1, 3.2, 3.3  
Week 5: 3.4, 3.5, 4.1 Quiz 3
Week 6: 4.3, 5.1, 5.2, Quiz 4
Week 7: 12.5 Midterm Exam
Week 8: 5.3, 5.4, 5.5, 5.6  
Week 9: 5.7, 5.8 Quiz 5
Week 10: 6.1, 6.2  
Week 11: 6.3, 6.4, 6.5 Quiz 6
Week 12: 7.1, 7.2, 7.3, 7.4, 7.5  
Week 13: 7.6, 7.7, 8.1, 8.2 Quiz 7
Week 14: 8.3, 8.5, 8.6 Quiz 8
Week 15: 9.1, 9.2 Quiz 9

Final Exam to be given at the scheduled exam period

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