# College Mathematics II –

### mth209ca

(3 credits)

This course continues the demonstration and examination of various algebra concepts that was begun in MTH 208: College Mathematics I. It assists in building skills for performing more complex mathematical operations and problem solving than in earlier courses. These concepts and skills should serve as a foundation for subsequent quantitative business coursework. Applications to real-world problems are emphasized throughout the course.
This undergraduate-level course is 5 weeks. This course is available as part of a degree or certificate program. To enroll, speak with an Enrollment Advisor.

### Systems of Linear Equations

• Solve systems of linear equations, linear inequalities, and linear equations with three variables.
• Solve word problems with three variables.
• Apply systems of linear equations to real-world problems.

### Nonlinear Expressions

• Factor polynomial expressions.
• Simplify rational expressions.
• Multiply, divide, add, and subtract rational expressions.
• Simplify radical expressions and complex numbers.
• Apply nonlinear expressions to real-world problems.

### Nonlinear Equations

• Solve quadratic equations by factoring.
• Solve rational equations and formulas.
• Solve proportion and variation problems.
• Solve equations involving radical expressions.
• Apply nonlinear equations to real-world problems.

### Nonlinear Functions, Sequences, and Series

• Perform operations on functions.
• Identify composite and inverse functions.
• Evaluate exponential and logarithmic functions.
• Identify arithmetic and geometric sequences.
• Evaluate arithmetic and geometric series.
• Apply nonlinear functions, sequences, and series to real-world problems

### Fundamentals of College Algebra Review II

• Review all objectives from Weeks One through Four.
• Analyze applications of mathematics.