Courses   <-  Sean Forman   <-  You Are Here Calculus I

November 14 and 15, 2005

Third Exam Review. The third exam is Friday, November 18, 2005. I will not be there for the pm exam, but there will be a knowledgeable substitute instructor.

You will not need a special calculator, one able to do basic arithmetric will be sufficient. Any calculator capable of doing symbolic differentiation will not be allowed (for example the TI-89 and above). You will not have any notes or formulas available to you. Here is a summary of topics covered in the third part of the course. There may be other topics not listed here. You are responsible for all material covered in class and on homework.

The solutions to all assigned homework problems will be available on reserve in the library on Tuesday afternoon. Go to the front desk and ask for the homework solutions to Dr. Forman's Math 1351 class. The exam will be designed so that you should be able to complete it in 50 minutes.

1. Section 4.1 Finding critical numbers. Finding absolute maximum and minimum values on closed intervals. What the theorems mean.

2. Section 4.2 What Rolle's and the Mean Value Theorem are. How they apply to certain situations like the HW.

3. Section 4.3 How derivatives tell us concavity, intervals of increasing or decreasing. Points of inflection, local max's or min's. First and Second derivative test.

4. Section 4.4 What are the various indeterminate forms and how to use L'Hospital's rule to solve these limits.

5. Section 4.7 Setup and solution of various optimization problems. I may ask you to solve one completely and then also set up another one. Read the directions carefully.

6. Section 4.8 Business problems relating to marginal cost, revenue and profit and finding max profit.

7. Section 4.9 Newton's method. Setting up the formula and then running the algorithm.

8. Section 4.10 Anti-derivatives, computing the general anti-derivatives of various functions.

9. Section 5.1 How to estimate the area under the curve using rectangles.

The exam is not yet completed, but I anticipate the test looking very similar to the homework problems. There may be a couple of extra questions that aren't homework questions, but knowing how to do all of the homework will prepare you very well. Obviously, you should also read through the text and notes as well.