# MATH 130 - College Algebra

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 130. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

## Student Learning Outcomes (SLOs)

- Students will be able to simplify an expression that is either polynomial, rational, radical, exponential or logarithmic.
- Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
- Students will be able to graph a function (or relation) that is either polynomial, rational, exponential or logarithmic.

## Course Measurable Objectives (CMOs Effective through Summer 2024)

- Simplify expressions, including polynomial, rational, radical, exponential and logarithmic.
- Solve equations and inequalities, including linear, higher-order polynomial, rational, radical, exponential, logarithmic and literal.
- Perform operations with functions including composition and determine the domain, range and inverse of a function.
- Graph functions and relations, including polynomial, rational, exponential, and logarithmic functions (using linear transformations when appropriate).
- Solve systems of equations (linear and non-linear) by methods of substitution, elimination, graphing and matrices.
- Analyze a variety of applied problems (including variation problems) and work with the resulting equation or function to respond to the problem, using complete sentence responses.
- Expand powers of binomials using the Binomial Theorem.
- Prove statements using mathematical induction.
- Recognize patterns in sequences and series (arithmetic and geometric) to determine terms and find sums, using sigma notation as appropriate.
- Demonstrate properties of matrices.

## Course Measurable Objectives (CMOs Effective Beginning Fall 2024)

- Simplify expressions, including polynomial, rational, radical, exponential and logarithmic.
- Solve equations and inequalities, including linear, higher-order polynomial, rational, radical, exponential, logarithmic and literal.
- Perform operations with functions including composition and determine the domain, range and inverse of a function.
- Graph functions and relations, including polynomial, rational, exponential, and logarithmic functions (using linear transformations when appropriate).
- Solve systems of equations (linear and non-linear) by methods of substitution, elimination, and graphing.
- Analyze a variety of applied problems (including variation problems) and work with the resulting equation or function to respond to the problem, using complete sentence responses.
- Use the rules of exponents to simplify expressions.
- Factor polynomials.
- Apply techniques for finding zeros of polynomials and roots of equations.
- Apply transformations to the graphs of quadratic, absolute value, rational, radical, exponential, and logarithmic functions.