Catalog Course Search Details

 Department:    MATH

 Course #:    99

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    330101

 EPC:    n/a

 REV:    2018

 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.

2. Critical Thinking

Definition: The ability to think critically about the nature of knowledge within a discipline and about the ways in which that knowledge is constructed and validated and to be sensitive to the ways these processes often vary among disciplines.

Outcomes: Students will be able to . . .
2.1 Identify and express concepts, terms, and facts related to a specific discipline.

8. Mathematical Reasoning

Definition: Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.

Outcomes: Students will be able to . . .
8.1 Analyze problems to determine what mathematical principles apply.
8.2 Correctly apply logical reasoning and mathematical principles to solve problems.
8.3 Interpret information and reasoning expressed mathematically (for example in spreadsheets, diagrams, charts, formulas, etc.).
8.4 Communicate mathematical information effectively.

10. Technology

Definition: Understanding the role of technology in society and using technology appropriately and effectively.

Outcomes: Students will be able to . . .
10.3 Use technology appropriate to the context and task to effectively retrieve and manage information, solve problems, and facilitate communication.

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