# 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. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

### Systems of Equations and Matrices

• Use matrices and Gaussian elimination to solve systems.
• Solve systems of linear equations.
• Distinguish between linear and nonlinear systems of equations.
• Solve systems of nonlinear equations.
• Perform operations on matrices.
• Solve systems of linear inequalities with graphing.

### Sequences and Series

• Solve application problems involving a series.
• Find a general term given the terms of a sequence.
• Find the sum of the first n terms of a sequence.
• Find terms of a sequence from the general term.
• Solve factorial notation problems.
• Solve recursion formula problems.

### Counting Methods and Probability

• Use the multiplication principle to solve counting problems.
• Solve permutation problems.
• Solve combination problems.
• Solve probability problems.

### Graphing, the Distance Formula, and Circles

• Graph rational functions.
• Identify functions behavior as increasing, decreasing, or constant.
• Solve problems involving a function’s zeros, maximum, or minimum values.
• Graph polynomial 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.

### Exponential and Logarithmic Functions

• Apply properties of logarithms.
• 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.
• Solve real-world applications using exponential and logarithmic functions.