| By the end of this course, the student will be able to: |
| 1. Sketch, define, describe, and interpret the graphs of the following: |
| · linear inequalities |
| · quadratic functions |
| · exponential functions |
| · logarithmic functions |
| 2. Solve the following: |
| · linear equations and inequalities | · quadratic equations |
| · absolute value equations and inequalities |
| · rational equations |
| · exponential equations |
| · logarithmic equations |
| · systems of linear equations |
| 3. Transform algebraic expressions into equivalent forms: |
| · polynomials |
| · powers of binomials |
| · rational expressions |
| · radical expressions |
| · exponential expressions |
| · logarithmic expressions |
| 4. Analyze functions: |
| · combine functions |
| · determine domain and range |
| · find the inverse |
| 5. Correctly apply a mathematical model to solve a problem given in words |
| 6. Define and analyze general sequences and series |