Catalog Course Search Details

 Department:    MATH

 Course #:    99

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    330101

 EPC:    n/a

 REV:    2021

 Course Description  

This is the second course in intermediate algebra, building on topics introduced in math 098. Topics include: composite and inverse functions; logarithmic, rational and radical functions; logarithmic, exponential, rational, absolute value and radical equations; radical and rational expressions; variation; absolute value inequalities; complex numbers; and modeling with logarithmic, exponential, rational and radical equations. A non-CAS graphing calculator is required.

 Prerequisite  

Prerequisite: Math 098 with a grade of C or higher, or appropriate math placement score.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic N/A  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Work with logarithms by
   • Graphing logarithmic functions
   • Solving logarithmic equations
   • Solving exponential equations
2. Solve absolute value equations
3. Solve absolute value inequalities and
   • State solutions using interval and set notations
   • Graph solutions on a number line.
4. Work with rational expressions by
   • Simplifying
   • Adding, subtracting, multiplying and dividing
5. Work with rational functions by
   • Finding the domain of rational functions
   • Graphing basic rational functions
   • Solving rational equations
   • Solving similar triangles
   • Using rational functions to model data
6. Work with radical expressions by
   • Simplifying
   • Adding, subtracting, multiplying and dividing
   • Rationalizing numerators and denominators
7. Work with radical functions by
   • Solving radical equations
   • Graph radical functions
8. Perform operations using complex numbers, such as
   • Adding, subtracting, multiplying and dividing
   • Finding conjugates
9. Demonstrate an understanding of mathematical modeling by
   • Modeling with rational functions
   • Modeling with radical functions
   • Modeling with exponential functions
   • Modeling with logarithmic equations
10. Use the Pythagorean Theorem
11. Work with circles by
    • Finding the equations of circles
    • Graphing circles
12. Solve applications relevant to course content

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

Course Contents

1. Logarithms
   • Functions
   • Properties
   • Solving equations
   • Graphing
   • Common and natural logarithms
2. Absolute values
   • Equations
   • Inequalities
3. Rational expressions
   • Simplifying
   • Adding, subtracting, multiplying and dividing
   • Simplifying complex rational expressions
4. Rational equations
   • Finding the domain of rational functions
   • Solving rational equations
   • Similar triangles
   • Variation
5. Radical expressions
   • Simplifying
   • Adding, subtracting, multiplying and dividing
   • Rationalizing numerators and denominators
6. Radical equations
   • Solve radical equations
   • Graphing radical functions
7. Complex numbers
   • Conjugates
   • Adding, subtracting, multiplying, and dividing
8. Mathematical modeling
   • Determining a quadratic equation
   • Determining an exponential equation
9. Pythagorean Theorem
10. Distance Formula
11. Circles
    • Finding equations of circles
    • Graphing circles