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Intermediate Algebra (MATH 0080)
Total Credits:
5
Lecture Credits:
5
Description:
This course is a continuation of
MATH 0070: Introductory Algebra. Course content includes: sets and interval notation; functions and relations; systems of linear equations; compound inequalities; absolute value equations and inequalities; more polynomial factoring; rational expressions, functions, and equations; variation word problems; more literal equations; radicals, radical functions, and rational exponents; complex numbers; graphing quadratic functions; quadratic and rational inequalities; composition of functions; inverse functions; logarithmic and exponential functions and equations; and graphing circles.
Topical Outline:
1. Functions with emphasis on polynomial functions and equations, including their algebra, graphs, and factoring
2. Systems of linear equations in two and three variables, with application problems
3. Inequalities: linear, compound, and absolute value
4. Radical expressions and radical exponents, complex numbers, quadratic equations and functions
5. Rational expressions, functions, and equations
6. Composite, inverse, exponential, and logarithmic functions, equations, and their graphs
Learning Outcomes:
1. Work with interval, inequality, graphical, and functional notation
2. Solve compound, absolute value, polynomial inequalities; and linear, radical, rational, literal, exponential, and logarithmic equation
3. Simplify and perform operations on polynomials, rational expressions, and simplify expressions with rational exponents
4. Perform operations with complex numbers
5. Solve systems of linear equations
6. Manipulate and graph linear, polynomial, exponential, and logarithmic functions
Prerequisites:
Placement into
MATH 0080 or completion of
MATH 0070 or
MATH 0077