## Math 354 Assignments 2013

 Due Date Math 354 Assignments for Fall 2013
8/28 Reading Assignment #1
Before Wednesday's class, BUY THE TEXTBOOK; READ pages 1-12 in the textbook. If you do not have the book, you can download these pages from the resource section of OWLSPACE for this class. This is mostly what I talked about in class, but in more detail. But read Theorems 1.1 and 1.2 which I may NOT discuss. Also, look at the Appendices, and at some point this week or next week, read over Appendices A, B and D.
9/4 Assignment #2
9/6 Reading Assignment #3
READ pages 24-29. You can start to do the HW that is due next Wednesday if you want. The written assignment is longer this week.
9/11 Assignment #4
Read pages 29-32, 39-40 and handout on logic; 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,2f,5,12,20. These Required Problems will be due on Wednesday 9/11 at the beginning of class.
9/13 Reading Assignment #5
9/16 Reading Assignment #6
READ pages 45-51; You are not responsible for the statement of the replacement theorem, Lagrange Interpolation is optional; Section 1.7 is optional reading (but if you want to be a real math major you ought to read Section 1.7)
9/18 Assignment #7
Suggested problems: Section 1.6 #1a-l (a must-good test questions) Required problems: Section 1.6 # 4 (be clever and no computation is necessary),11 (just do first part),14,16,19,28 (find a basis with 2n elements-don't make the mistake of assuming that a vector has ``coordinates''); Extra Credit #24. These Required Problems will be due on Wednesday 9/18 at the beginning of class,
9/18 Reading Assignment #8
Monday's lecture covered pages 64-68 Read these pages. Note INDEX OF DEFINITIONS FOR CHAPTER ONE on page 62-63. This will be useful for TESTS.
9/25 Assignment #9
Read 68-74; Suggested problems:Section 2.1 #1 (a must) Required problems due on Wednesday 9/25 at the beginning of class Section 1.6 #32a,b (draw pretty colored pictures but also include complete verbal justification),#31a; Section 2.1 #3,#5 (expect a problem like #2 thru #5 on our exam), #13,#17 (this is an important result and not hard to prove), #14a (note that there are 2 implications to prove),14c. Problem #14 is logically demanding. Please attend recitation section if you have difficulty with this problem. FIRST MIDTERM EXAM IS IN-CLASS FRIDAY OCTOBER 4
9/27 Reading Assignment #10
10/2 Assignment #11
Read 86-90. Study for test using materials from class. Required problems due on Wednesday 10/2: Section 2.2 #2b,4,5c,8 (these easy problems are covered on midterm so they will be good practice); Extra credit: Section 2.2 #16 (THIS EXTRA CREDIT PROBLEM MUST BE HANDED IN ON A SEPARATE PIECE OF PAPER FROM YOUR HOMEWORK)
10/7 Reading Assignment #12
Read pages 90-93, Optional 94-95; Read Appendix B page 551-552,
10/9 Assignment #13
Read 99-102; Suggested problems: Section 2.3 #1 Required problems due on Wednesday 10/9: Section 2.3 #11 (T_0 is the zero transformation),12 (very importatnt result-just use definitions of one-to-one and onto and composition- these have nothing to do with being linear transformations-just functions), 13 (JUST do first part-use the actual summation notation definition of matrix multipolication); 2.4 # 4 (use definitions),5,6, 16 (one way is to guess the inverse and check it; don't assume A is invertible) Extra credit: Section 2.4 #9 (This is tricky. Hint:use Corollary 2 p.102 and Exercise 12a section 2.3)
10/11 Reading Assignment #14
Read 100-106; Appendix B page 551;By Monday READ 110-115
10/16 Assignment #15
Required problems due on Wednesday 10/16: Section 2.4 #14, Section 2.5 #2d, 3bd; Prove by mathematical induction: for each non-negative integer n, the sum 1+3+...+(2n+1) equals (n+1)-squared; 6b, 9, 10 (easy once you use the hint);
10/21 Assignment #16
Read 119-120 (skip 121-123 and Section 2.7) Suggested Problems: Section 2.5 # 1,3ac Section 2.6 # 1a,b,c(for f.d. vector spaces),2
10/23 Assignment #17
Read 147-154 Required problems due Wednesday 10/23: Section 2.6 #3a,8 (what is a "vector in (R^3)^* ?); Section 3.1 #5 (use the definition of elementary matrix- not some hand-waving),6 Section 3.2 #2d,f,4b,5bd; Extra Credit: Section 2.5 #8
10/25 Reading Assignment #18
10/28 Reading Assignment #19
10/30 Assignment #20
Suggested Problems: Section 3.2 #1 Section 3.3 #1,Required problems due Wednesday 10/30 Section 3.2 #6b 8,21 Section 3.3 # 2b,2d; 7a (show work-use Thm. 3.11),9,10
11/1 Reading Assignment #21
Read 174-175; Skip 176-179, Read: 182--189 (190-194 Optional)
11/4 Reading Assignment #22
Read page 199; Skim Section 4.2, Read Section 4.4 (the rest of Chapter 4 is optional); REMINDER MIDTERM IS Friday Nov. 8 IN CLASS
11/6 Assignment #22
Suggested Problems: Section 3.3 #1, Section 4.1 #1abcd Section 4.3 #1 Required problems due Wednesday 10/31: Section 3.4 #2b,f; Section 4.3 (just use basic properties of determinants from section 4.4-not the definition) #11,12,15 Section 4.4 #2d,3b,4d
11/9 Reading Assignment #23
11/13 Assignment #24
Suggested Problems: Section 5.1 #1 Required problems due Wednesday 11/13: Section 5.1 3bc,4e,8a,12,14,15a;
11/15 Reading Assignment #25
11/18 Reading Assignment #26