Week  Meeting  Date  In Class  Notes 


1  Lecture 1  Tues, Sept. 4  s1.1, s
1.2, s 1.3 
Read s 1.4  
Lecture 2  W, Sept. 5  s 1.3, s 2.1  
Lecture 3  F, Sept. 7  s 2.2, s 2.3  
HW1 due F, Sept. 14
at 5 p.m. HW
is not collected in class; Instead, please scan your HW to a pdf file
and email it to 256fall2012@gmail.com. Please show clearly the steps leading to the solution. Write neatly. Please submit solutions to all of the following problems: Checked briefly for completeness only, not correctness: s1.1 #9,19,25,28 (use the matlab code dirfield.m, available from the B&D link below (and used in Lecture 1), to check your answer); s1.2 #5,10; s1.3 #6,11; s2.1 #7,19; s2.2 #4,17 Checked for correctness: s2.1 #29,33 s2.2 #30 (use dirfield.m again here) 

2 
Lecture 4  M, Sept. 10 
s 2.3, s 2.4  
Lecture 5  T, Sept. 11 
s 2.4, s 2.5  
Lecture 6  W, Sept. 12 
s 2.5  
Lecture 7  F, Sept. 14  s 2.6 

HW2 due F, Sept. 21 at 5 p.m. Checked for completeness: s2.3 #7,10; s2.4 #3,8,32; s2.5 #3,7,19; s2.6 #4,13,27; s2.7 #1. Checked for correctness: s2.3 #6; s2.4 #26; s2.5 #20; s2.6 #29; s2.7 #16 (modify the function eulertest.m to solve this problem).  
3 
Lecture 8 
M, Sept. 17  s 2.7, 3.1 

Lecture 9 
T, Sept. 18  s 3.2  
Lecture 10 
W, Sept. 19  s 3.3  
Lecture 11 
F, Sept. 21 
s 3.4  
HW3 due F, Sept. 28 at 8 p.m. Checked for completeness: s3.1 #14,21; s3.2 #9,15,21,26,30; s3.3 #5,11,21,25; s3.4 #6,12,19; s3.5 #8, 15; s3.6 #7, 18. Checked for correctness: s3.2 #39; s3.3 #31; s3.5 #18.  
4 
Lecture 12 
M, Sept. 24 
s 3.4  
Lecture 13 
T, Sept. 25 
s 3.5  
Lecture 14 
W, Sept. 26 
s 3.6  
Lecture 15 
F, Sept. 28 
s 3.7  
Upcoming: Exam 1, F, Oct. 5 in class. Covers Lectures 113 and corresponding sections of the textbook. The exam will consist of 46 questions similar to the HW problems. Suggested study method: Work some problems in each section near the ones assigned for HW.  
5  Lecture 16  M, Oct. 1  s 3.8  
Lecture 17  T, Oct. 2  s 4.1  
Lecture 18  W, Oct. 3  Review session  
Exam 1 
F, Oct. 5  Exam 1 Solutions  
HW4, due F, Oct. 12 at 8 p.m. Checked for completeness: s3.7 #4,15,19; s3.8 #11,15,19; s4.1 #5,10,16; s4.2 #2,21,32; Checked for correctness: s3.7 #30; s3.8 #14; s4.2 #8.  
6 
Lecture 19 
M, Oct. 8  s 4.2 

Lecture 20  T, Oct. 9  s 4.3 

Lecture 21  W, Oct. 10  s 6.1 

Lecture 22  F, Oct. 12  s 6.2 

HW5, due
T, Oct. 23 at 8 p.m. Checked for completeness: s4.3 #3,8,16; s6.1
#6,10,26; s6.2 #15,27,33; s6.3 #11,15,21,25; Checked for correctness:
s4.3 #17; s6.1 #16; s6.2 #19; s6.3 #26. 

7 
Fall Break 
M, Oct. 15 

Fall Break  T, Oct. 16 

Lecture 23  W, Oct. 17  s 6.3 

Lecture 24  F, Oct. 19  s 6.4 

HW6, due
T, Oct. 30 at 8 p.m. Checked for completeness: s6.3 #36; s6.4 #10,15,17;
s6.5 #2,10,16; s6.6 #5,10,16; Checked for correctness: s6.4 #13; s6.5
#9; s6.6 #20. 

8 
Lecture 25  M, Oct. 22 
s 6.5 

Lecture 26  T, Oct. 23  s 6.6 

Lecture 27  W, Oct. 24  s 7.1 

Lecture 28  F, Oct. 26  Lin. Alg. Chap. 1 

HW7, due
T, Nov. 6 at 8 p.m. Checked for completeness: s7.1 #6,10,23; Linear
Algebra (LA) 1.6 #3abc,7,11; LA2.4 #2,3; LA2.7 #1,2,9,25; Checked for
correctness: s7.1 #18; LA1.6 #15; LA2.7 #5. 

9 
Lecture 29 
M, Oct. 29  Lin. Alg. 2.12.2+ 

Lecture 30 
T, Oct. 30 
Lin. Alg. 2.5 

Lecture 31 
W, Oct. 31  Lin. Alg. 3.2, 3.3 

Lecture 32 
F, Nov. 2  Lin. Alg. 3.3, 3.4 

Upcoming:
Exam 2, M, Nov. 12 in class. Covers Lectures 1430 and corresponding
sections of the textbooks. The exam will consist of 46 questions
similar to the HW problems. 

10 
Lecture 33  M, Nov. 5  Lin. Alg. 6.2 

Lecture 34  T, Nov. 6  Lin. Alg. 6.2 

Lecture 35  W, Nov. 7  Boyce &DiP. s 7.2 

Lecture 36  F, Nov. 9  Review session 

HW8, due
T, Nov. 20 at 8 p.m. Checked for completeness: LA 3.6 #1, 3, 9, 13;
LA6.3 #2,8; Boyce &DiP. s7.2 #4,8,25; Checked for correctness: LA3.6
#12; LA6.3 #3; Boyce &DiP. s7.2 #23. 

11 
Exam 2 
M, Nov. 12 
Exam 2 Solutions 

Lecture 37  T, Nov. 13 
s 7.3, 7.4 

Lecture 38 
W, Nov. 14 
s 7.5 

Lecture 39 
F, Nov. 16 
s 7.6 

HW9, due
Thurs., Nov. 29 at 8 p.m. Checked for completeness: Boyce &DiP. 7.3 #8,9,16,31;
7.4 #4; 7.5 #4,10,16,24; 7.6 #2,10,29; 7.7 #6,12,13; 7.8 #1,8; Checked for correctness: Boyce &DiP. 7.3 #19; 7.4 #6; 7.5 #26; 7.6 #17; 7.7 #7; 7.8 #15. 

12 
Lecture 40  M, Nov. 19  s 7.7 

Lecture 41 
T, Nov. 20 
s 7.7 

Lecture 42 
W, Nov. 21  s 7.8 

Thanksgiving 
F, Nov. 23 

_ 

13 
Lecture 43  M, Nov. 26  s 7.8 

Lecture 44  T, Nov. 27  s 7.9 

Lecture 45  W, Nov. 28  s 8.1 

Lecture 46  F, Nov. 30  s 8.2, 8.3 

HW10, due
Fri., Dec. 7 at 8 p.m. Checked for completeness: 7.9 #4,5;
8.1 #6,17; 8.2 #6,8,17; 8.3 #6,8; 9.1 #5,15; 9.2 #7,9,20; Checked for correctness: 7.9 #7; 8.1 #8; 8.2 #8; 9.1 #13. 

14 
Lecture 47  M, Dec. 3  s 9.1 

Lecture 48 
T, Dec. 4  s 9.2 

Lecture 49 
W, Dec. 5  s 9.3 

Lecture 50 
F, Dec. 7  s 

Additional study problems (not to hand in):
9.3 #3,10; 9.4 #1,8.


15 
Lecture 51  M, Dec. 10 
s 

Lecture 52  T, Dec. 11  Review session 

Final Exam 
F, Dec. 14, 810 am. 
Location: B844 East Hall (basement). 


Additional notes:
We
will cover a small amount of material on computational methods for
differential equations, with some examples and exercises that use
MATLAB. You do not need to
know any MATLAB at the beginning: you can learn what you need to know
during the course.
B&D
student companion site with Matlab files, etc.
Matlab
tutorial
links from J. Rauch.
We will also cover some linear algebra from:
K. Matthews'
Linear Algebra Lecture Notes
Grading:
5%: Clicker
questions.
20%: HWs.
20%: Midterm 1, in class, tentative date: Friday, Oct. 5. Please
email me immediately if you might not be able to attend on Oct. 5.
20%: Midterm 2, in class, tentative date:
Monday, Nov. 12. Please email me immediately if you
might not be able to attend on Nov. 12.
35%: Final Exam, Friday, Dec. 14, 8 a.m. 10 a.m. Location B844 East Hall (basement).
We will have
occasional clicker questions during lecture. Your clicker score will be
an average of the fraction you answered (i.e. you get some points just
for answering) and the fraction you answered correctly. For the first
week, the clicker responses won't count towards your grade, to give
time to get used to the system. After the first week, you can miss up
to eight lectures without losing any clicker points.
As is typical for a course at this level, much of the grade is based on exam performance. A good strategy to do well on exams is to work a wide range of HW problems, possibly beyond those assigned for HW. After a point you become sufficiently familiar with the methods that you can think about them clearly and apply them accurately during the exams.
HWs
will be
assigned every week or two. You may discuss general ideas
for the HW with others, but all your work on the HW should be your own.
All HW to hand in should be scanned to a pdf file and submitted by email to the course email address: 256fall2012@gmail.com. It will be graded and returned via email to the address you sent it from. Please include your last name and the HW number in the subject line. Please save copies of your HW (both the paper and the scanned copy) until after final course grades are submitted in case there are any issues with receiving your HW properly in gmail.
Each HW will consist
of a large number of problems graded for completeness, and a small
number graded for correctness. The problems graded for correctness will
be scored out of 10 points each. Then you'll get a bonus ranging from 0
to 20% (of the total possible "correctness" points) depending on how
completely you answered the completeness questions.
Late
HW is not accepted. However, the lowest three HW grades will be dropped
when computing your average.
The Final, though cumulative, will be weighted towards the final 1/3 of the course.