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Assignments
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| 8/26 Reading Assignment #1 | Before Wednesday's class, BUY THE TEXTBOOK; READ pages 1-7.5 in the textbook. This is mostly what I talked about in class, but in more detail. Also, look at the Appendices, and at some point this week or next, read over Appendices A, B and D. |
| 8/28 Reading Assignment #2 | Read pages 6-12 by Friday ; Look over Appendices A and B;Read over weekend: pages 16-19. 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; Section 1.3 #1; Required Problems Due next Wednesday 9/2 in class: Section 1.2 #9,10,18; 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, 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 Monday 3-3:30, Tuesday 2:30-4:00. PLEASE COME if you are confused or uneasy or want to say Hi. Recitation Section Tuesday 4-5pm Hermann Brown 427, where Ms. Taylor Coon 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.
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| 9/4 Reading Assignment #3 | READ pages 24-32. You can start do the HW from Section 1.4 (see below) that is due next Wednesday) After Friday's class you can read 35-40. |
| 9/9 Assignment #4 | Read pages 35-40, 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 9/9 at the beginning of class, |
| 9/11 Reading Assignment #5 | READ pages 42-43.5 and read over Logic handout. |
| 9/16 Assignment #6 | Suggested problems: Section 1.6 #1a-i (a must-good test questions) Required problems: Section 1.6 # 4 (no computation necessary),7 (show work),11 (just do first part),14,16, 28; Extra Credit #24. These Required Problems will be due on Wednesday 9/16at the beginning of class, |
| 9/18 Reading Assignment #7 | Read pages 43-51 (Lagrange is optional;Section 1.7 optional); Note INDEX OF DEFINITIONS on page 62-63. This will be useful for TESTS. Skim handout on induction. |
| 9/21 Reading Assignment #8 | Read pages 64-68.5 |
| 9/23 Assignment #9 | Read pages 70-74; Suggested problems:Section 2.1 #1 (a must) Required problems due on Wednesday 9/23 at the beginning of class:Prove by mathematical induction: for each non-negative integer n, the sum 1+3+...+(2n+1) equals (n+1)-squared; Section 1.6 #32a,b (draw pretty colored pictures),#31 (for part b see top of page 22); Section 2.1 #3,#13 EXTRA CREDIT: Section 1.6 #29a (see top of page 22) |
| 9/25 Assignment #10 | Start on long hard assignment due next Wednesday (see below); do the problems from Section 2.1 |
| 9/28 Reading Assignment #11 | Read pages 79-83 |
| 9/30 Assignment #12 | Read 79-83. Required problems due on Wednesday 9/30:Section 2.1 #14a (note that there are 2 implications to prove),14c, #17 (this is an important result) Section 2.2 #2b,4,5c,8,9; Remember recitation section Tuesday; and office hours Tuesday |
| 10/2 Assignment #13 | Read 86-88 |
| 10/7 Assignment #14 | Read 88-93, Optional Reading 94-95
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| 10/9 Assignment #15 | Read 99-102, Suggested problems: Section 2.3 #1 Required problems due on Friday 10/9: Section 2.3 #3b,11 (T_0 is the zero transformation),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 |
| 10/12 Assignment #16 | Read 102-106
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| 10/16 Assignment #17 | Read: 110-115; Suggested Problems: Section 2.4 # 1, 2abcd,3 Required problems due Friday 10/16: Section 2.4 # 4 (use definitions),5,6,9,13,16 (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) |
| 10/21 Assignment #18 | Read 119-121 (skip 122-123 and Section 2.7); Suggested Problems: Section 2.5 # 1,3ac Required problems due Wednesday 10/21: Section 2.5 # 2d, 3bd, 5 (check answer in back), 6b, 8(use a big diagram like mine from class), 10 (do this one after Monday's class). The problems due require reading only up to page 115. |
| 10/23 Reading Assignment #19 | Read 147-150
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| 10/26 Reading Assignment #20 | Read:152-157; |
| 10/28 Assignment #21 | Read:157-165; Suggested Problems: Section 2.6 # 1a,b,c(for f.d. vector spaces),2; Section 3.2 #1 Required problems due Wednesday 10/28: Section 2.6 #3b; Section 3.1 #6(you may use #5); Section 3.2 #2d,f,4b,8,9 Extra Credit: Section 2.6 #8,20a. |
| 10/30 Reading Assignment #22 | Read:168--173; Start on HW due Wednesday |
| 11/2 Reading Assignment #22 | Read:174--175 Skip 176-179, Read 182-189; Work on HW due Wednesday |
| 11/4 Assignment #23 | Suggested Problems: Section 3.3 #1 Required problems due Wednesday 11/4: Section 3.2 #5b,d,6b,14a (use definitions, be logically precise). Section 3.3 # 2b,2d,10 Section 3.4 #2b,f. Extra Credit: Section 3.2 #22.
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| 11/6 Reading Assignment #23 | Read p.199, Skim Section 4.2 Read Section 4.4 (the rest of Chapter 4 is optional), |
| 11/11 Reading Assignment #24 | Make sure that you have done the reading assignment from Chapter 4. Read p.245-246; Suggested Problems: Section 4.1 #1abcd, Section 4.3 #1 |
| 11/13 Assignment #25 | Required problems due Friday 11/13 in class: Section 4.3 (just use basic properties of determinants from section 4.4-not the definition) #11, 12, 13 (remember that the determinant will be a complex number in general),15 Section 4.4 #2d,3b,4d |
| 11/13 Assignment #26 |
Special Assignment Due Monday after Thanksgiving-write up solution and explanation of your solution | PUZZLE #1. |
| 11/16 Reading Assignment #27 | Read 245-255 |
| 11/18 Assignment #28 | Read:261-265; Suggested Problems: Section 5.1 #1 Required problems due Wednesday 11/18: Section 5.1 3bc, 4e,5,8a(hint:use Thm 2.5),8c, 9,12,14,15a,17a |
| 11/20 Reading Assignment #29 | Read 261-272; (Optional: 272-279); |
| 11/20 Reading Assignment #30 | Read 329-335; (Optional: 272-279); Start on assignment for Wednesday; Think about Puzzle Problem and, if necessary, speak to others about how to formulate equations |
| 11/25 Assignment #31 | Suggested Problems: Section 6.1 #1 Required problems due Wednesday 11/25 Section 5.2 # 2f,3b,9a,10(easy-use 9a),11(easy-use 10) (Even if it is not similar to an upper triangular matrix, if the characteristic polynomial splits over $\mathbb{F}$, then the trace is the sum of the eigenvalues and the det is the product of the eigenvalues !!) Section 6.1 #2 (but do not verify Cauchy-Schwarz and triangle), 3 (but do not verify Cauchy-Schwarz and triangle) 8ac, 10(easy trick),17(easy) |
| 11/30 Reading Assignment #32 | Read 348-352; Puzzle problem due Monday. Start on assignment due Friday 12/4 |
| 12/2 Assignment #33 | My office half-hour on Monday is canceled. Remember my office hours on Tuesday and also the recitation Section on Tuesday. Suggested Problem: Section 6.2 #1 Required problems due Wednesday 12/2 Section 6.2 # 2a,9,22 (for part b see Example 10 page 351) |
| 12/4 Assignment #34 | For all the following pages you would be much better to USE 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 6.15cd, 6.16,6.17 and Lemma p.373), 398-402 Written Assignment for Friday 12/4: Required problems: Section 6.3 # 3b (see example 2 page 359), 12a (Hint: There are 2 inclusions to prove. For one inclusion consider ), Section 6.4 #2bd (just determine if it is self-adjoint) Extra Credit:Section 6.2 # 18 |