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CCB 089 - Intermediate STEM Algebra
Credits: 5
Variable Credit Course: No
Lecture Hours: 55
Lab Hours: 0
Worksite/Clinical Hours: 0
Other Hours (LIA/Internships): 0
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: CCB 87 or ODHS 87 or MATH 97 with a grade of C or higher, or appropriate math placement score.
Strongly Recommended:
Special Requirements:
Meets FQE Requirement: No
Integrative Experience Requirement: No
Student Learning Outcomes
- Factor polynomials and use factoring to solve polynomial equations.
- Add, subtract, multiply, divide, and simplify rational expressions.
- Solve rational equations and identify extraneous solutions.
- Add, subtract, multiply, divide, and simplify radical expressions.
- Solve radical equations and identify extraneous solutions.
- raph radical functions and find their domain and range.
- Add subtract, multiply, and divide complex numbers.
- Graph quadratic functions and find the vertex and intercepts.
- Use square roots, completing the square, and the quadratic formula to solve quadratic equations.
- Find composite and inverse functions.
- Graph exponential and logarithmic functions and find their domain and range.
- Use properties of exponents and logarithms to solve exponential and logarithmic equations.
- Use the distance and midpoint formulas to find equations of circles and sketch their graphs.
- Solve applications relevant to course content.
Course Contents
- Factoring. Factor trinomials. Factor special products. Solve polynomial equations by factoring.
- Rational Expressions and Functions. Multiply, divide, add, and subtract rational expressions. Simplify complex rational expressions. Solve rational equations.
- 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.
- 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.
- 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.
- Additional Topics. Pythagorean theorem. The distance formula. Equations of circles.
Instructional Units: 5
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