| By the end of this course, the student will be able to: |
| 1. Compute integrals involving: |
| · parts |
| · trigonometric substitution |
| · partial fractions |
| · tables |
| · numerical approximations |
| · improper integrals |
| 2. Apply integrals to various topics: |
| · volume |
| · physics |
| · other |
| 3. Solve differential equations involving: |
| · separation of variables |
| · an application |
| 4. Analyze numeric and power series: |
| · analyze the convergence of a numeric series |
| · compute the interval of convergence of a power series |
| · compute the Taylor series of a function |
| 5. Demonstrate a graphical understanding of the following: |
| · rectangular coordinates in three dimensions |
| · two variable functions |
| · contour plots |
| 6. Make multivariable function computations involving: |
| · evaluation of functions |
| · planes |
| 7. Compute vector calculations involving: |
| · vector addition/subtraction |
| · scalar multiplication |
| · dot product |
| · cross product |
| · an application |