Math 151: Sections 14-16, Fall 2004 -- Study guide for second midterm
This is a rough guide to studying for the exam. There are categories of problems you can expect to see. Doing all the suggested problems on the syllabus is a good idea. In order to inspire you, I will list problem that I think are important. I am following the syllabus.
- Make sure you can do the problems from the first exam. In particular, be sure you are comfortable with the use of the chain rule in all cases.
- Disclaimer: This is nothing more than a guide to what I think are the main themes.
Suggested problems:
| Lecture | Suggested problems |
| Derivatives, Chain rule, etc. | 3.6: 45, 46, 48, 49; 3.8: 41, 26, 38; |
| Related rates | 3.10: 14, 24, 31; |
| Linear approximation, Newton's method | 3.11: 31, 36, 42; 4.9: 36; |
| Calculating Limits with L'Hopital's rule | 4.4: 29, 37, 53; |
| Finding min & max | 4.1: 55, 61, 62; |
| Applications of Mean Value Theorem | 4.2: 24, 29; |
| Using f′ and f′′ to sketch a graph | 4.3: 42, 45, 47; 4.5: 45, 46; 4.6: 14, 27; |
| Optimization problems | 4.7: 33, 40; |
| Finding antiderivatives | 4.10: 10, 12, 25, 35; |