INFORMATION ON READING BEFORE CLASS

Below are some comments to help you prepare for each class' lecture. For each section in the book, I'll mention what you should have read for class. In other words, what are the key points. When you come to class, you should have already read the section and have some sense of the definitions of the terms we'll study and the results we'll prove. This does not mean you should know the material well enough to give the lecture; it does mean that you should have a familiarity with the material so that when I lecture on the math, it won't be your first exposure to the terminology or results. Everyone processes and learns material in different ways; for me, I find it very hard to go to a lecture on a subject I'm unfamiliar with and get much out of it. I need to have some sense of what will happen, as otherwise I spend too much time absorbing the definitions, and then I fall behind. I'm hoping the bullet points below will help you in preparing for each lecture. If there is anything else I can do to assist, as always let me know (either email directly, or anonymously through mathephs@gmail.com, passsword 11235813).

Also, you may wish to look at some worked out examples before class that are similar to the HW. Examples from when I taught the class in 2010 are available online here, though we used a different book then and covered slightly different material; I will do many of these problems in class. The reason I want to do these is precisely because I have written up the solution. This way you can sit back a bit more and follow the example without worrying about writing everything down.

CHAPTER 11: Vectors, Curves and Surfaces in Space

CHAPTER 12: Partial Differentiations

CHAPTER 13: Multiple Integrals

CHAPTER 10 (Cain and Herod): SEQUENCES, SERIES AND ALL THAT: notes available here.

From Line Integrals to Green's Theorem: TBD

Also, you may wish to look at some worked out examples before class that are similar to the HW. These are available online here, those these problems are from the 2010 version of the class, which used a different book; I will do many of these problems in class. The reason I want to do these is precisely because I have written up the solution. This way you can sit back a bit more and follow the example without worrying about writing everything down.