Math 540 Section 2 Assignments - Spring 2009


Instructor: Constanze Liaw
Meeting Time: MWF 2:00-2:50 pm (G hour)
Classroom: Barus and Holley 157
Grade: Homework 35%, Midterm 25%, Final 40%.
Final Exam: Monday, May 11, 2-5 pm, Salomon Center 001 (new location!).
Midterm (solution and point distribution): Wednesday, March 11, 7-8:30 pm, Barus and Holley 166 (CHANGED!!!). Please find a practice midterm on the Math 540 home page.

For general course information and assignments for other sections, refer to the Math 540 home page.

All reading assignments and problem numbers refer to the course textbook, 'Linear Algebra', Fourth Edition, by Friedberg, Insel, Spence.
Another textbook that I often refer to is 'Linear Algebra Done Wrong', by Sergei Treil (click for free online version).

Reading

Date Reading (do it over the weekend)
May 4 Prepare for the review session on Monday. In the homeworks, take a look at the problems that I 'bold faced'. I tried to cover most definitions and procedures. For the exam you should definitely know how to do all of them. You don't need to compute each problem, just the ones you think are hard.
Also go over the midterm.
Please note: We have not done the final yet. Those are just the problems I would do, if I were in your spot.
On Monday we will split up into groups (I'll shuffle, so you get to talk to other students outside your study group.) and you will talk to each others and ask me about the stuff no one in your group knows.
Apr 20 Read sections 5.4 and 6.1.
Apr 13 Read sections 4.1 - 4.4 and sections 5.2.
Mar 30 Read the rest of chapter 3, and start on homework 8. Then take some time off to relax.
Mar 16 Read sections 3.1 and 3.2 as well as the solutions to the midterm.
Mar 9 Read section 2.5 and prepare for the exam.
Since you don't have a lot of practice of section 2.5, i suggest you do the problems that have solutions (see page 574).
In general, the best way to study for an exam is by doing many problems.
You should also make sure you know the theorems, useful little facts and all the definitions.
Mar 2 Re-read sec. 2.1 - 2.4 concentrating on the examples, since I have not had time to do very many in class.
The introductory example of sec. 2.5 (up to Theorem 2.22, excluding).
Feb 23 Sec. 2.3, 2.4
Feb 18 Appendix B, Sec. 2.2 and my solutions to HW sets 1-3 (if you haven't done so yet).
Go through the list of definitions of Chapter 1 using the index on page 62 and make sure you would be able to state all of them.
(This is the 'vocabulary' of Chapter 1).
Make a list of all the theorems and useful little facts we have learned so far.
Read 3.3 and 3.4 of Chapter 1 in 'Linear Algebra Done Wrong' (on pages 14, 15). This is just a page, but contains useful information.
Feb 9 Sec. 1.6-2.1 and try to do the proof of Corollary 2 on page 47 by yourself using the Replacement Theorem.
Feb 2 Sec. 1.4, 1.5 and Sec. 1.6 up to Example 5
Jan 26 Sec. 1.1-1.3 and Appendices B, C

Homework

Homework problems will be assigned shortly after each lecture. The assigned problems will be collected every Friday in class.


Hwk # Due Date Problems
XXXX Don't turn in. To prepare for Monday's review session, please refer to the insturctions in the reading assignments.
13 Friday, May 1 Page 336: 3, 8c
Page 353: 2i
Page 366: 2b, 3c
Page 375: 2d
12 Friday, April 24 Page 260: 20
Page 279: 2e, 3e, 7, 11, 12, 18, 19
Page 322: 2c, 2d, 2e, 5, 6a, 8
10 and 11 Friday, April 17 Hwk 10:
Page 228: 17, 24, 28
Page 256: 2b, 3b, 3c, 4e, 4h, 4j, 8
Hwk 11:
Page 228: 21, 25 and page 258: 7, 12. Note: You must work alone on this homework set. Please turn in homework 11 on a separate sheet. This homework will count 20 points. So the homework that is due this week counts a total of 30 points (20+10).
9 Friday, April 10 Page 208: 9 (Use the definition of the 2X2 determinant. Do not use Theorem 4.7.)
Page 221: 2, 4, 13, 20, 22, 23, 25, 26, 29
Page 228: 4, 9-13
8 Friday, Apr 3 Page 180: 6, 7, 8
Page 195: 2d (Think about what kinds of possibilities there are.), 2f, 8
Page 180: 2a, 2g, 10
Page 195: 10
7 Friday, Mar 20 Page 165: 2e, 2g, 4a, 5b, 5g, 6b, 6f, 8, 13
Page 151: 5, 6, 8, 9
Page 140: 3 a, 3b, 4c, 13
Page 124: 2a, 2f
--- Friday, Mar 13 No homework due, since we had the exam.
6 (sol.) Friday, Mar 6 Page 116: 2a, 2d, 3a
Page 106: 2e, 2f, 3d, 4, 5, 9, 10, 13 (the definition of 'equivalence trafo' is on page 551), 17, 20
Page 97: 5, 6
5 (sol.) Friday, Feb 27 Page 96: 9, 11, 12, 13, 15, 16, 17
Page 84: 8, 9, 13, 16
4 Friday, Feb 20 Page 84: 1, 2c, 4
Page 77: 27 (read my solutions to # 25, 26), 28, 29, 31
This completes HW set 4. Since this is such a short assignment, it will only count 5 points.
3 (sol.) Friday, Feb 13 Page 74: 3, 5, 9, 10, 13, 14, 17, 25, 26
Page 54: 8, 14, 17, 20, 26, 30, 32
2 (sol.) Friday, Feb 6 Page 54: 2d, 3d, 4, 8, 12, 13
Page 40: 1, 2d,e,g, 8, 9, 14, 18, 20 (characteristic 2 means that 1+1=0, see page 430)
Page 33: 1, 6, 12
Page 33: 3b,d,f, 4b,d,f, 10, 14
1 (sol.) Friday, Jan 30 Page 19: 1,5,8c,8f,11,14,15,20,24 (The definition of the direct sum is on the top of page 22.)
Page 12: 1,3,4b,4c,8,12,13,18,21
Page 5,6: 2a,3a

Homework policies

Late homework will NOT be accepted. There are no exceptions to this policy.

When computing your homework grade at the end of the semester, your lowest score will be dropped.

You can discuss the course material and homework with other students, but when writing solutions that you will turn in for credit, you must work alone, and the work you turn in must represent your own understanding of the material. For more information, please refer to the Brown Academic Code.