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Due Date
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Assignments
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| 8/29 Reading Assignment #1 | Before Wednesday's class, READ pages 1-7.5 in the textbook. This is mostly what I talked about in class, but in more detail. |
| 8/31 Assignment #2 | Read pages 6-12, Look over Appendix A for some notation we will begin to use. Note that answers to SOME problems are in the back of the book. Suggested Problems(for extra practice): Section 1.2 #1,11,12,16 Required Problems Due next Wednesday: Section 1.2 #9,10,18; These are not due until next week, but get started if possible. There will be more assigned on Friday. Write legibly. Use full sentences as much as possible like in the textbook. |
| 9/5 Assignment #3 | I will send the list of study group emails separately. There are some problems due next Wednesday (see assignment #3) and also some due next Friday (see below). You should try to do all of them by Wednesday and if necessary, hand in second ones on Friday. Suggested procedure for Homework this week: complete all the required reading as soon as possible. Arrange a time , say on Sunday or Monday to get together with some other students to talk about how to approach the problems. TRY to do some of the problems BEFORE you meet with your group. If you get stuck use one the following resources. Resources: Special office hours held by me in my office Monday Labor Day 1-3pm since I will not be able to hold my Tuesday office hours. PLEASE COME if you are confused or uneasy. Recitation Section Tuesday 4-5pm Hermann Brown 427, where Janine will work some problems similar to homework and answer questions. Students who have not had expereince proving things SHOULD ATTEND. Janine will also announce an extra office hour for next Thursday. Possibly meet again with your group on Tuesday night and or Thursday night. This is not high school. I expect that one third of the class will have trouble knowing how to start some of the problems, but after going to office hours or recitation, you will be surprised that it is not so hard. If you have limited or no experience with proofs and abstractions, it can be hard to get started. For another third of the class, this is very easy so far. Read over weekend: pages 16-18. Suggested problem:Section 1.3 #1. Required problems: Section 1.3 # 10,12,20,23(extra credit). The extra credit problem will not be difficult for you in a few weeks but some of you will find it hard to know how to proceed. These Required Problems will be due on Friday 9/7 at the beginning of class, but you should be working on all but the extra credit as if they are due on Wednesday. Write your name on your papers. Write legibly. Write the assignment number and date due. Write using full sentences as much as possible. Remember to attend the recitation section Tuesday 4-5pm in HB 427 for help with the homework. |
| 9/10 Reading Assignment #4 | Read pages 24-32 and 35-40 |
| 9/12 Reading Assignment #5 | Read pages 42-44 |
| 9/14 Assignment #6 | Read pages 45-50, Suggested problems:Section 1.4 #1,2a,2c,3a,3c,4a, 7,8,11. Section 1.5 #1 (a must)Required problems: Section 1.4 # 2b,3b,10,13 Section 1.5 #2b,12. These Required Problems will be due on Friday 9/14 at the beginning of class, |
| 9/19 Assignment #7 | Skim Handout on induction; Suggested problems: Section 1.6 #1a-i (a must) Required problems: Prove by mathematical induction: for each non-negative integer n, the sum 1+3+...+(2n+1) equals (n+1)-squared. Section 1.6 # 4,8,11,16 Extra Credit #28 (not hard). These Required Problems will be due on Wednesday 9/19 at the beginning of class, |
| 9/24 Assignment #8 | Do all reading by Monday. Read 50-51, Optional Reading Section 1.7, Read pp. 64-top of page 70; Suggested problems: Section 2.1 #1 (a must)Required problems due on Wednesday 9/26: Section 1.6 #29a (For this problem one must look in Exercises of 1.3 for the definition of W_1+W_2), #31a,#32a,b (draw pretty colored pictures), Section 2.1 #3,#16,#17 (this is an important result) |
| 10/1 Study Assignment #9 | MIDTERM MONDAY IN CLASS |
| 10/5 Assignment #10 | Required problems due on Friday 10/5: Section 2.1 #13,14 Section 2.2 #2b,4,8; I recommend your attending recitation section Tuesday- the last HW scores were not so good.! |
| 10/10 Assignment #11 | Read 79-93, Optional Reading 94-95, Suggested problems: Section 2.3 #1 Required problems due on Wednesday 10/10: Section 2.2 #5c,#16, #14 (very abstract-use the definitions-be careful about what the objects really are) Section 2.3 #3b,11,13,12 |
| 10/15 Study Assignment #12 | Read 99-106 and start on the problems from Section 2.4 that are due next Friday; There is a very long assignment due next Friday. |
| 10/19 Assignment #13 | Read: 110-115; Suggested Problems: Section 2.4 # 1, 2abcd,3 Section 2.5 # 3ac Required problems: Section 2.4 # 4,5,9 (Hint:use Corollary 2 p.102 and consider L-subscript-AB. Show the null-space of L-subscript-B is zero, use Theorem 2.15 part e page 93 and Exercise 12a section 2.3 (which I proved in class)),10ab,16 (one way is to guess the inverse and check it; don't assume A is invertible),17. Section 2.5 # 2d, 3bd, 5 (check answer in back), 6b(do this only after Wednesday class), 8(use a diagram like mine from class). |
| 10/22 Study Assignment #14 | Read 119-122 but stop before Theorem 2.26. Section 2.7 not required. |
| 10/24 Assignment #15 | Read: 147-150 (after Monday class); Suggested Problems: Section 2.6 # 1a,b,c(for f.d. vector spaces),2,5, Section 3.1 # 3ac Required problems: Section 2.5 #10, Section 2.6 #3b,4,6a, 8(hint:think dot product),10a, Section 3.1 # 12(don't use type 2!). Extra Credit:Section 2.6 20a (part of this is difficult. Try proving the contrapositive of one direction: assume T is NOT onto and show T-dual has a non-zero null-space. Consider a simple example T(x)=(x,0) which is not onto. Think about what it means for a function f(x,y) to be in the null-space of T-dual. Once you realize how it works for this example, you will see how to do it in general). |
| 10/29 Study Assignment #16 | Read 152-165 REMINDER MIDTERM FRIDAY NOVEMBER 9 |
| 10/31 Assignment #17 | Read:168-175 ; Suggested Problems: Section 3.2 #1 Required problems: Section 3.2 #2f,4b,5b,d,6b,8,14a (use definitions, be logically precise),22. Section 3.3 # 2b (don't do until after Monday class). |
| 11/5 Study Assignment #18 | Read 182-189 |
| 11/7 Assignment #19 | Required problems:Section 3.3 2d,3d,4a,10 Section 3.4 #2b,f |
| Special Assignment Due Wednesday after Thanksgiving | PUZZLE #1. |
| 11/12 Study Assignment #20 | Read p.199, Skim Section 4.2 Read Section 4.3 (the rest of Chapter 4 is optional), |
| 11/14 Assignment #21 | ; Read Section 5.1; Suggested Problems: Section 4.1 #1abcd, Section 4.3 #1 Required problems: Section 4.3 #12, 13( remember that the determinant will be a complex number in general),15 Section 4.4 #2d,3b,4d Section 5.1 #3bc,8a |
| 11/16 Study Assignment #22 | Read Section 5.1 |
| 11/21 Assignment #23 | Read:261-272 Optional:272-279 ; Suggested Problems: Section 5.1 #1 IMPORTANT ASSIGNMENT Required problems due by 10am under my door: Section 5.1 4e,9,12,14,15a,17a Section 5.2 # 2f,3b |
| 11/28 Assignment #24 | No Office Hours for Professor Cochran on Monday/Tuesday 11/26-11/27; Remember Janine's Recitation Section 4pm Tuesday 11/27. Read 329-335,
Required problems Section 5.2 # 10,11 (this is true even if its not similar to an upper triangular matrix if one is using a field over which the characteristic polynomial splits, that the trace is the sum of the eigenvalues and the det is the product of the eigenvalues !!) Section 6.1 #7 (just part a- use Thm.6.1),8ac,10(see Exercise 13 Section 5.1 which we have stated and used in class),16,22a |
| 12/3 Study Assignment #25 | Read 341-352 Start on written assignment. |
| 12/7 Assignment #26 | Remember Office hours on Tuesday and also the recitation Section (see web page). For all the following pages you would be better to substitute class lecture notes: 357-360 (you can skip Thm.6.8 and proof of 6.9 since I did it a different way), Skim 369-374 (you are not responsible for Normal operators, but SELF-ADJOINT implies normal, so look at 6.15d, 6.16,6.17 and Lemma p.373) Written Assignment for Friday: Suggested Problems: Section 6.1 #1 6.2 #1 Required problems: Section 6.2 #2a,6,9,18,19b,22 Section 6.3 # 3b, 12a, Section 6.4 #2bd (just determine if it is self-adjoint) Required Problems will be due on Friday 12/7 at the beginning of class. |