| By the end of this course, the student will be able to: |
| 1. Find the derivatives of the following: |
| · polynomial functions |
| · rational functions |
| · exponential functions |
| · logarithmic functions |
| 2. Use the following rules to find derivatives: |
| · product rule |
| · quotient rule |
| · chain rule |
| · implicit differentiation |
| 3. Analyze functions by finding the following and apply by graphing the function: |
| · limits |
| · continuity |
| · extrema |
| · inflection points |
| · asymptotes |
| 4. Find definite and indefinite integrals by using the following: |
| · general integral formulas |
| · integration by substitution |
| · integration by parts |
| 5. Solve applications arising in business involving the following: |
| · marginals |
| · derivatives |
| · integrals |