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Due Date
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Assignments
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| 8/27 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. |
| 8/29 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 SOME of the Required Problems Due next Wednesday 9/3: Section 1.2 #9,10,18; These are not due until next week, but get started if possible. There will be more problems assigned. Write legibly. Use full sentences as much as possible like in the textbook. |
| 9/3 Assignment #3 | Read over weekend: pages 16-19. Suggested problem:Section 1.3 #1. Required Problems Due next Wednesday 9/3: Section 1.2 #9,10,18; More Required problems due on 9/3: Section 1.3 # 10,12,20,23(extra credit). Suggested procedure for Homework this week: complete all the required reading as soon as possible. Arrange a time , say on Sunday 8/31 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. Do you know how to start them? If you get stuck, use one the following resources. Resources: My office hours Tuesday 2:30-3:30. PLEASE COME if you are confused or uneasy or want to say Hi. Recitation Section Tuesday 4-5pm Hermann Brown 427, where Casey will work some problems similar to homework and answer questions. Students who have not had experience proving things SHOULD ATTEND. Possibly meet again with your group on Tuesday night. 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 and to know what should be the logical set-up. For another third of the class, this is very easy so far. 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. Write your name on your papers. Write legibly. Write the assignment number and date due. Write using full sentences as much as possible. |
| 9/8 Reading Assignment #4 | Read pages 24-32 and 35-38 |
| 9/10 Assignment #5 | Read pages 38-40, 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,5,12. These Required Problems will be due on Wednesday 9/10 at the beginning of class, |
| 9/12 Reading Assignment #6 | Read pages 42-42.5 |
| 9/15 Reading Assignment #7 | Read pages 42-49; |
| 9/22 Assignment #8 | Suggested problems: Section 1.6 #1a-i (a must-good test questions) Section 1.6 # 4,8 (a bit ugly),11,14,16 Extra Credit: #28 (straightforward), Extra Credit #24. These Required Problems will be originally due on Wednesday 9/17 (POSTPONED TO Monday 9/22)at the beginning of class, |
| 9/24 Assignment #9 | Read pages 50-51(not Lagrange) Section 1.7 is optional reading (look at statements of results). Note INDEX OF DEFINITIONS on page 62-63. This will be useful for TESTS.Skim handout on induction. Required problem: Prove by mathematical induction: for each non-negative integer n, the sum 1+3+...+(2n+1) equals (n+1)-squared. |
| 9/26 Reading Assignment #10 | Read pages 64-69 START NOW ON these Required problems due on Wednesday 10/1: Section 1.6 #31a,#32a,b (draw pretty colored pictures);EXTRA CREDIT: Section 1.6 #29a (For this problem one must look in Exercises of 1.3 for the definition of W_1+W_2)
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| 9/29 Reading Assignment #11 | Read pages 70-74. Suggested problems: Section 2.1 #1 (a must)START NOW ON these Required problems due on Wednesday 10/1 Section 2.1 #3,#13: |
| 10/1 Assignment #12 | Required problems due on Wednesday 10/1: Section 1.6 #31a,#32a,b (draw pretty colored pictures), Section 2.1 #3,#13,14 #16,#17 (this is an important result) EXTRA CREDIT: Section 1.6 #29a (For this problem one must look in Exercises of 1.3 for the definition of W_1+W_2), |
| 10/1 Study Assignment | MIDTERM MONDAY IN CLASS 10/6 |
| 10/9 Assignment #13 | Read 79-83. Required problems due on Friday 10/9: Section 2.2 #2b,4,5c,8,9; Remember recitation section Tuesday; and office hours Tuesday and Thursday |
| 10/15 Assignment #14 | Read 86-93, Optional Reading 94-95
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| 10/17 Assignment #15 | Read 99-102, Suggested problems: Section 2.3 #1 Required problems due on Friday 10/17: Section 2.3 #3b,11,12 (just use definitions of one-to-one and onto and composition- these have nothing to do with being linear transformations-just functions); Extra Credit: Section 2.2 #16 |
| 10/20 Assignment #16 | Read 102-106
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| 10/22 Assignment #17 | Read: 110-115; Suggested Problems: Section 2.4 # 1, 2abcd,3 Required problems due Wednesday 10/22: Section 2.4 # 4 ( use definitions), 5,10ab,16 (one way is to guess the inverse and check it; don't assume A is invertible),17; Extra credit: #9 (Hint:use Corollary 2 p.102 and use Theorem 2.15 part e page 93 and Exercise 12a section 2.3) |
| 10/24 Reading Assignment #18 | Read 110-115
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| 10/27 Reading Assignment #19 | Read 119-121 (skip 122-123 and Section 2.7)
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| 10/29 Assignment #20 | Read:147-150 (after Monday class); Suggested Problems: Section 2.5 # 3ac; Section 2.6 # 1a,b,c(for f.d. vector spaces),2,5 Required problems due Wednesday 10/29: Section 2.5 # 2d, 3bd, 5 (check answer in back), 6b, 8(use a diagram like mine from class), 10 ; Section 2.6 #3b,6a, 8(hint:think dot product). |
| 10/31 Reading Assignment #21 | Read:152-157; |
| 11/3 Reading Assignment #22 | Read 152-165 WARNING: MIDTERM Monday NOVEMBER 10 |
| 11/5 Assignment #23 | Suggested Problems: Section 3.2 #1 Required problems due Wednesday 11/5: Section 3.1 # 12(don't use type 2!). Section 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). Extra Credit:Section 3.2 #18; Section 2.6 20a (You can assume the vector spaces are finite-dimensional. 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). |
| 11/7 Reading Assignment #24 | Read:170-176; |
| 11/10 | In Class MIDTERM Monday NOVEMBER 10 |
| 11/12 Reading Assignment #26 | Read:182-189; |
| 11/14 Assignment #27 | Required (FUN!!) computational problems due Friday 11/14 in class:Section 3.3 2d,4a Section 3.4 #2b,f |
| Special Assignment Due Wednesday after Thanksgiving | PUZZLE #1. |
| 11/15 Study Assignment #28 | Read p.199, Skim Section 4.2 Read Section 4.4 (the rest of Chapter 4 is optional), |
| 11/17 Assignment #29 | ; Read Section 5.1; Suggested Problems: Section 4.1 #1abcd, Section 4.3 #1 Required problems due Wednesday 11/19 in Class- Do Section 4 problems over week-end: Section 4.3 (just use basic properties of determinants-not the definition) #11, 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 (do these after Monday class) |
| 11/21 Reading Assignment #30 | Read Section 5.1 and pp. 261-262. |
| 11/24 Reading Assignment #31 | Read pp. 261-271 (Optional: 272-279). |
| 11/26 Assignment #32 | Suggested Problems: Section 5.1 #1 IMPORTANT ASSIGNMENT Required problems due in class or before Wednesday 11/26: Section 5.1 4e,9,12,14,15a,17a Section 5.2 # 2f,3b,9a |
| 12/1 Reading Assignment #33 | Read pp.329-335 |
| 12/3 Reading Assignment #34 | Read pp.341-352 |
| 12/5 Assignment #35 | Suggested Problems: Section 6.1 #1 Required problems due in class on Friday 12/5:Section 5.2 # 10; Section 6.1 #7 (just part a- use Thm.6.1),8ac; Section 6.2 #2a,9,18,22 |