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

March 17, 2006

Second Exam Review. The second exam is Wednesday, March 22, 2006.

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 first 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 Monday afternoon. Go to the front desk and ask for the homework solutions to Dr. Forman's Math 1371 class. The exam will be designed so that you should be able to complete it in 60 minutes.

Do not count on being allowed to do rewrites again.

1. Section 13.3 Arc length, curvature, reparameterization.

2. Section 13.4 Motion in space, velocity and acceleration problems.

3. Section 14.1 Functions of multiple variables.

4. Section 14.2 Limits and continuity in 3-d settings.

5. Section 14.3 Partial derivatives, first and second order. Clairaut's Theorem.

6. Section 14.4 Tangent planes, linear approximations, the differential and how it differs from the derivative. Differentiability

7. Section 14.5 Chain rule, creating trees for the chain rule, calculating it for a variety of problems. The formulas for implicit differentiation using the chain rule.

8. Section 14.6 Gradient, Directional Derivatives. What the significance of the gradient is and how it relates to level curves. What the path of steepest ascent is.

9. Section 14.7 How to find critical points. The second derivative test. Extreme Value Thm.

The exam is not yet completed, but I anticipate the test looking very similar to the homework problems. There may be some true-false questions where I ask you about properties we have covered in class. 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.