# College Algebra – mat220 (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 9
weeks.
This course is available
to take individually or
as part of a degree or certificate program.
To enroll, speak with an Enrollment Representative.

### Polynomial and Rational Functions, Part 1

- Solve polynomial and rational inequalities.
- Solve problems involving combined variation.
- Solve problems involving rational functions.
- Solve polynomial equations.
- Solve problems involving a quadratic function’s maximum or minimum value.
- Graph polynomial and rational functions.

### Polynomial and Rational Functions, Part 2

- Solve problems involving a quadratic function’s maximum or minimum value.
- Graph polynomial and rational functions.
- Solve polynomial and rational inequalities.
- Solve polynomial equations.
- Solve problems involving combined variation.
- Solve problems involving rational functions.

### Exponential and Logarithmic Functions, Part 1

- Solve real-world applications using exponential and logarithmic functions.
- Solve exponential and logarithmic functions.
- Identify graphs of exponential and logarithmic functions.
- Convert between exponential and logarithmic forms.
- Apply properties of logarithms.

### The Distance Formula, Circles, and Conic Sections, Part 1

- Find the midpoint of a line segment.
- Write equations of conic sections in standard form.
- Solve applied conic section problems.
- Write the standard form of a circle’s equation.
- Convert the general form of a circle’s equation to the standard form.
- Identify graphs of conic sections.
- Find the distance between two points.

### The Distance Formula, Circles, and Conic Sections, Part 2

- Solve applied conic section problems.
- Find the distance between two points.
- Find the midpoint of a line segment.
- Write the standard form of a circle’s equation.
- Convert the general form of a circle’s equation to the standard form.
- Identify graphs of conic sections.
- Write equations of conic sections in standard form.

### Systems of Nonlinear Equations and Matrices, Part 1

- Perform operations on matrices.
- Distinguish between linear and nonlinear systems of equations.
- Solve systems of nonlinear equations.
- Use matrices and Gaussian elimination to solve systems.
- Solve rational equations and application problems.

### Sequences and Probability

- Find terms of a sequence from the general term.
- Solve factorial notation problems.
- Find the sum of the first
*n*terms of a sequence. - Solve application problems involving a series.
- Solve fundamental principle of counting problems.
- Solve combination and permutation problems.
- Solve probability problems.
- Solve recursion formula problems.

### Systems of Nonlinear Equations and Matrices, Part 2

- Solve systems of nonlinear equations.
- Distinguish between linear and nonlinear systems of equations.
- Use matrices and Gaussian elimination to solve systems.
- Solve rational equations and application problems.
- Perform operations on matrices.

### Exponential and Logarithmic Functions, Part 2

- Solve exponential and 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.

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 Representative.

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.