# 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.