Catalog Course Search Details

 Department:    MATH

 Course #:    98

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    330101

 EPC:    n/a

 REV:    2019

 Course Description  

This is the first course in intermediate algebra, building on topics introduced in math 097. Topics include: integer and rational exponents, polynomials and operations with polynomials, factoring polynomials, solving quadratic equations by: factoring, the square root method, completing the square and the quadratic formula; graphing quadratic and exponential functions, modeling with polynomial and exponential functions. A non-CAS graphing calculator is required.

 Prerequisite  

Prerequisite: MATH 097 with a grade of C or higher, or equivalent 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. Perform basic operations with polynomials, including
   • Addition and subtraction of polynomials.
   • Multiplication of polynomials.
   • Division of polynomials (long and synthetic division)
2. Factor polynomials.
3. Solve polynomial equations by factoring.
4. Work with quadratic functions by
   • graphing with the vertex form
   • graphing with the standard form
   • determining the vertex and intercepts
5. Solve a system of linear equations in three variables.
6. Simplify radical expressions.
7. Solve quadratic equations using the
   • Square root method
   • Completing the square method
   • Quadratic formula
8. Work with exponential functions by
   • Graphing exponential functions
   • Finding the equation of exponential models.
9. Demonstrate an understanding of mathematical modeling by
   • Determining a quadratic model.
   • Determining an exponential model.
10. 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. Polynomials
   • Addition, Subtraction, and Multiplication
   • Division (long and synthetic division)
2. Factoring polynomials
   • Greatest Common Factor
   • By grouping
   • Difference of two squares
   • Sum and difference of two cubes
3. Solve polynomial equations by factoring
4. Exponents
   • Integer exponents and their properties
   • Rational exponents and their properties
5. Mathematical modeling
   • Determining a quadratic equation
   • Determining an exponential equation
6. Solving quadratic equations
   • Factoring
   • Square root method
   • Completing the square
   • Quadratic formula
7. Quadratic functions
   • Graphing using the vertex form
   • Graphing using the standard form
   • Determining the vertex and intercepts
8. Exponential functions
   • Graphing exponential functions
   • Finding the equation of an exponential function
9. Solving systems of equations in three variables