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# MAT 108 - Intermediate Algebra

Credits: 4
4 Lecture Hours

Prerequisites: MAT 090  (minimum grade “C”) or successful placement.

Description
This is a course in intermediate algebra that covers topics in algebraic functions and operations. Students deepen their skills with linear, quadratic, rational, absolute value and higher degree polynomial equations and functions. Other key concepts explored include exponents, radicals and complex numbers. Students also learn to apply an analytic geometric approach using the Cartesian coordinate system to graph and analyze lines and systems of equations. Through practical exercises and examples, students build fluency working with higher-level algebraic expressions and problems. The course prepares students for subsequent coursework requiring intermediate algebra skills.
Learning Outcomes
Upon successful completion of the course, the student will:

1. Simplify and evaluate expressions involving exponents, roots and radicals.
2. Apply basic operations on polynomial and rational expressions.
3. Solve linear equations and inequalities.
4. Solve quadratic equations by factoring, completing the square and using the quadratic formula.
5. Identify the domain and range of a given function.
6. Compute function values.
7. Solve equations and inequalities which contain absolute values.
8. Solve systems of linear equations in two and three variables.
9. Graph linear equations on the Cartesian plane without the aid of a calculator.
10. Identify equations of various conic sections.
11. Sketch the graphs on the Cartesian plane without the aid of a calculator.
12. Evaluate polynomial functions.
13. Solve linear and quadratic applied problems.
Listed Topics
1. Linear equations and inequalities
2. Graphs, functions and applications
3. Systems of equations
4. Polynomials and polynomial functions
5. Rational expressions, equations and functions
6. Radical expressions, equations and functions
8. Exponential functions
9. Conic sections
Reference Materials
Each student is required to have the textbook adopted by the Mathematics Department at the specific campus. Each student may be required by a specific instructor to have an appropriate calculator. If available, students may make use of the interactive software and videos located in the Learning Center or Math Cafe of each campus.
Students who successfully complete this course acquire general knowledge, skills and abilities that align with CCAC’s definition of an educated person. Specifically, this course fulfills these General Education Goals:
• Critical Thinking & Problem Solving
• Quantitative & Scientific Reasoning
Approved By: Dr. Quintin B. Bullock Date Approved: 12/1/2023
Last Reviewed: 12/1/2023

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