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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 # 0132334186; 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 nonlinear 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 ycoordinate 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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