College Algebra –

mth220

(3 credits)

This course presents traditional concepts in college algebra. Topics include linear, polynomial, rational, radical, exponential and logarithmic functions, systems of equations, sequences, series, and probability.

This undergraduate-level course is 5 weeks. To enroll, speak with an Enrollment Advisor.

Topics and Objectives

Graphing, the Distance Formula, and Circles
- Identify functions behavior as increasing, decreasing, or constant.
- Solve problems involving a function’s zeros, maximum, or minimum values.
- Graph polynomial functions.
- Graph rational functions.
- Perform transformations on a given graph.
- Find the distance between two points.
- Find the midpoint of a segment.
- Write the standard form of a circle’s equation.
- Perform operations on functions.
Systems of Equations and Matrices
- Solve systems of linear equations.
- Distinguish between linear and nonlinear systems of equations.
- Solve systems of nonlinear equations.
- Use matrices and Gaussian elimination to solve systems.
- Perform operations on matrices.
- Solve systems of linear inequalities with graphing.
Exponential and Logarithmic Functions
- Identify types of symmetry and asymptotes, given a function and a graphing calculator.
- Solve exponential functions.
- Solve logarithmic functions.
- Identify graphs of exponential and logarithmic functions.
- Convert between exponential and logarithmic forms.
- Apply properties of logarithms.
- Solve real-world applications using exponential and logarithmic functions.
Sequences and Series
- Find terms of a sequence from the general term.
- Solve factorial notation problems.
- Solve recursion formula problems.
- Find the sum of the first n terms of a sequence.
- Solve application problems involving a series.
- Find a general term given the terms of a sequence.
Counting Methods and Probability
- Use the multiplication principle to solve counting problems.
- Solve permutation problems.
- Solve combination problems.
- Solve probability problems.

The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.

College Algebra –

mth220

Graphing, the Distance Formula, and Circles

Systems of Equations and Matrices

Exponential and Logarithmic Functions

Sequences and Series

Counting Methods and Probability

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