 # Math 130 SLO and CMO

### MATH 130 SLO

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

### MATH 130 CMO

1. Simplify expressions, including polynomial, rational, radical, exponential and logarithmic.
2. Solve equations and inequalities, including linear, higher-order polynomial, rational, radical, exponential, logarithmic and literal.
3. Perform operations with functions including composition
4. Determine domain, range and inverse of functions.
5. Graph functions and relations such as: piece-wise defined functions, polynomial functions, rational functions, exponential functions, logarithmic functions, linear transformations of basic functions and circle.
6. Solve systems of equations (linear and non-linear) by methods of substitution, elimination, graphing and matrices.
7. Analyze a variety of applied problems (including variation problems) and work with the resulting equations or functions to respond to the problems, using complete sentence responses.
8. Expand powers of binomials using the Binomial Theorem.
9. Prove statements using mathematical induction.
10. Recognize patterns in sequences and series (arithmetic and geometric) to determine terms and find sums, using sigma notation as appropriate.
11. Demonstrate properties of matrices.