Catalog Course Search Details

 Department:    MATH

 Course #:    99

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    330101

 EPC:    n/a

 REV:    2024

 Course Description  

This course builds on topics from Math 97. Topics include: an introduction to polynomials and factoring; quadratic, rational, radical, exponential, and logarithmic functions and equations; complex numbers; composite and inverse functions; distance formula and circles.

 Prerequisite  

Prerequisite: MATH 97 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. Factor polynomials and use factoring to solve polynomial equations.
2. Add, subtract, multiply, divide, and simplify rational expressions.
3. Solve rational equations identify extraneous solutions.
4. Add, subtract, multiply, divide, and simplify radical expressions.
5. Solve radical equations identify extraneous solutions.
6. Graph radical functions and find their domain and range.
7. Add subtract, multiply, and divide complex numbers.
8. Graph quadratic functions and find the vertex and intercepts.
9. Use square roots, completing the square, and the quadratic formula to solve quadratic equations.
10. Find composite and inverse functions.
11. Graph exponential and logarithmic functions and find their domain and range.
12. Use properties of exponents and logarithms to solve exponential and logarithmic equations
13. Use the distance and midpoint formulas to find equations of circles and sketch their graphs.
14. 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. Factoring
   • Factor trinomials
   • Factor special products
   • Solve polynomial equations by factoring
2. Rational Expressions and Functions
   • Multiply, divide, add, and subtract rational expressions
   • Simplify complex rational expressions
   • Solve rational equations
3. Roots and Radicals
   • Simplify radical expressions
   • Simplify rational exponents
   • Add, subtract, multiply, and divide radical expressions
   • Solve radical equations
   • Graph radical functions and find their domain and range
   • Add subtract, multiply, and divide complex numbers
4. Quadratic Equations and Functions
   • Solve quadratic equations by completing the square
   • Solve quadratic equations using the quadratic formula
   • Solve applications of quadratic equations
   • Graph quadratic functions using transformations
5. Exponential and Logarithmic Functions
   • Find composite and inverse functions
   • Evaluate and graph exponential functions
   • Evaluate and graph logarithmic functions
   • Use the properties of logarithms
   • Solve exponential and logarithmic equations
6. Additional Topics
   • Pythagorean theorem
   • The distance formula
   • Equations of circles