CAAM 560

Homework Assignments

Fall 2009

Read for understanding not to be able to reproduce the proofs. You may want to re-read, but that is standard in mathematics. Some of the proofs in either the chapters or the appendices are challenging. I have included them so you can gain an appreciation for the result and for mathematical proof techniques. I would like to have a reading assignment a week, but we usually fall a bit short of that.

In each write-up, I basically want to know if you felt the material was of value and if you felt it was well-written. What did you like and what did you not like. How could it be improved? These comments can help me in the writing process. Clearly, I believe that the material is important or else I would not have included it. Ideally, I would like you to read each chapter before we discuss it in class. The appendices make the book self-contained. If you have never seen the material in the appendices before then you will have to spend more time on the material. But it can, and has been, navigated by others with minimal background. I feel that you will learn more in this class than in most classes you have taken. I have failed if you do not leave feeling mathermatics is elegant, beautiful, and useful. Much of the material is essentially new and is not readily avaialbale in other texts.

The problem sets are important. I want you to work together to discuss the solutions. However, you must write up the solutions to the problem set on your own. Moreover, I want them well-written and complete. You should be able to return to the write-up after some time and completely understand the write-up. In the beginning, we will schedule help sessions. Then, there will be a time when I feel that you have shown that you should be on your own. I am willing to help you as much as you need.

Reading Assignments

1. Forward, Chapters 1 and 2, and Appendices A and B

Due August 31, 2009

2. Appendices C and E

Due September 14, 2009

3. Chapters 4, 5, and 6

Due September 21, 2009

4. Chapter 7

Due October 7, 2009

5. Chapters 3 and 8

Due October 30, 2009

6. Chapters 9 and 10

Due November 13, 2009

Problem Sets

1. Text 1.1 #'s 3, 4, 6, 7, 11 and Text 4.8 #'s 12 and 13

Due September 7, 2009

2. Text 1.1 #'s 17, 18, 26, 31 and Text 2.8 #s 1, 2, and 3

Due September 28, 2009