Exam  Date  Material covered 
Midterm # 1 
Sept 25, in class 
Lay, Ch. 1234 
Midterm # 2 
Nov 4, in class 
Lay, Ch. 46 
Final Exam 
Dec 20
, 11.302.30pm 
Lay+NS&S 
You will receive four grades, one for each of the
following:
homework and quizzes, the two midterms and the final exam.
Homework and quizzes count 20%, the same for each midterm and the
final counts for 40%.
The overall grade
is
roughly based on a curve.
Grades for exams or quizzes can only be changed if there is a clear
error on the part of the grader, such as adding up marks incorrectly
or forgetting to grade a question.
The grade distribution for Math 54 in
recent years was roughly as follows: 25% A, 35%B, 25%C and
15% D/F.
HOWEVER, I would be perfectly happy to give an A+ to everyone if they do
deserve it. At the beginning of the class each one of you is starting at
this mark. Just make sure that you work very hard and you will earn an A+.
The final homework and quiz grade will be computed from the grades for the 30 best homeworks and 10 best quizzes. If you miss the first midterm the grade for the second midterm will count double. If you miss the second then the grade for the final will count for 60%. If you miss both midterms or the final, then you will fail the class. There will be no makeup exams or quizzes.
There will be a quiz given on a day decided by your GSI in the discussion
sections. Details on when homework is collected are left to your individual GSI.
There will be no
makeup
quizzes and late homework will not be accepted. Collaboration on
homework is allowed, but you need to write up your own.
The GSI for your section will pick 12 problems from each homework assignment and
assign a "Pass/Fail" grade to these randomly chosen problems ( your GSI will give specific instructions for your section ). You have to
attempt all problems and points will be taken out for problems that you do not
try. This is my way of motivating
you to really do all the problems. This will be useful when the midterms and the final exam come
along. You should not be surprised is some of the problems in these tests are identical or very similar to some homework problems.
Following is the list of daily topics and homework assignments. The
lectures do not cover all the course material, so you also need to read
and understand the sections from the book. Reading ahead of the
lectures should help a lot.
I cannot promise that I am going to cover all topics with the same level of
detail. Reading the book CAREFULLY (there is no other way to read mathematics
or science) is the only way to master this material. Another good way is to
try to explain the material to your friends: only then you will realize that
this is good for you too. I encourage people to form groups where you can try
this sort of Socratic method.

Date 
Content 
Homework Assignment 
1 
8/30 
Lay, Ch. 1: Linear Equations, 1.12  1.1:
Odds 115, 20, 28;
1.2:Odds 115, 2326,30 
2 
9/2 
Labor Day: 

3 
9/4 
Lay, Ch. 1: Linear Equations, 1.35  1.3: Odds 115,
22,25; 1.4:1,5,7,9,11,17,18,29,34;
1.5: 1,5,9,14,24,2932 
4 
9/6 
Lay, Ch. 1: Linear Equations, 1.69 
1.6: 1,3,9,11,14;
1.7: Odds 117,21,22,3336;
1.8: 1,3,9,11,17;
1.9: Odds 117,23,24;

5 
9/9 
Lay, Ch. 1,2: Matrix Algebra, 1.10 2.13 
1.10: 1,3,9;
2.1: Odds 117,23,24,27;
2.2: 1,3,9,11,19,21,38;
2.3: Odds 117,21,24,30;

6 
9/11 
Lay, Ch. 2: Matrix Algebra, 2.5, 2.67 
2.5: 1,3,9,11,17;
2.6: Odds 117,21,23;
2.7: 1,3,9,11,17,21,23,24

7 
9/13 
Lay, Ch. 3: Determinants, 3.13  3.1: 1,5,9,13,1922,
41; 3.2:1,3,5,7,11,19,21,27,31,3335;
3.3:Odds 111,21,25,32 
8 
9/16 
Lay, Ch. 4: Vector Spaces, 4.13  4.1: 1,3,9,11,17,24,27,32; 4.2: Odds 117,23,25,30; 4.3: 1,3,9,11,17,21,32,33; 
9  9/18 
Lay, Ch. 4: Vector Spaces, 4.45 
4.4: 1,3,9,11,17,27;
4.5: Odds 117,26,27

10 
9/20 
Lay, Ch. 4: Vector Spaces, 4.67 
4.6: Odds 117,23,33;
4.7: 1,3,9,11,17

11 
9/23 
Review: Lay, Ch. 1234  
12 
9/25 
Midterm 1 (Chapters 1,2,3,4) 

13 
9/27 
Lay, Ch. 5: Eigenvalues and Eigenvectors, 5.12 
5.1: 1,3,9,11,17,21;
5.2: Odds 117,21;

14  9/30 
Lay, Ch. 5:Eigenvalues and eigenvectors, 5.3  5.3: 1,3,9,11,17,21 
15  10/2 
Lay, Ch. 5: Eigenvalues and eigenvectors, 5.4 
5.4: 1,3,9,11,17;

16 
10/4 
Lay, Ch. 5: Eigenvalues and eigenvectors, 5.5  5.5: Odds 117 
17 
10/7 
Lay, Ch. 6: Orthogonality, 6.1 
6.1:1,5,7,9,13,17,21,22,24;

18  10/9 
Lay, Ch. 6: Orthogonality, 6.2 
6.2:3,9,11,15,19,21

19  10/11 
Lay, Ch. 6: Orthogonality, 6.3 
6.3: 1,3,5,7,11,17,21;

20  10/14 
Lay, Ch. 6: Orthogonality, 6.4 
6.4: Odds 113 ; 
21  10/16 
Lay, Ch. 6: Orthogonality, 6.5 
6.5: 1,3,7,13,15,17

22  10/18 
Lay, Ch. 6: Orthogonality, 6.6 
6.6: 1,3,7,13,15;

23  10/21 
Lay, Ch. 6: Orthogonality, 6.7 
6.7: Odds 115,19,22,24;

24  10/23 
Lay, Ch. 6: Orthogonality, 6.8 
6.8: 1,2,3,4

25  10/25 
Lay, Ch. 7: Symmetric matrices, 7.12 
7.1: 7,11,13,17,22,24,32,33,34;
7.2: 5,9,19

26  10/28 
NS&S, Ch.4 :Second order linear ODE, 4,12 
4.1: 1,3,5,8,9,10;
4.2: Odds 117,26,30;

27  10/30 
NS&S, Ch.4 :Second order linear ODE, 4,34 
4.3: 1,3,9,11,17,33
4.4: Odds 117;

28 
11/1 
Review: Lay, Ch. 567  
29 
11/4 
Midterm 2 

30  11/6 
NS&S, Ch.4 :Second order linear ODE, 4,56 
4.5: Odds 117,26,30;
4.6: 1,3,9,11,15,20

31  11/8 
NS&S, Ch.4:Second order linear ODE, 4.78 
4.7: 3,7,12,13;
4.8: 1,3,9,11;

32  11/13 
NS&S, Ch.4,6:Second order linear ODE, 4.9, Higher order linear differential equations, 6.12 
4.9: Odds 17;
6.1: 1,3,9,11,13,23,27;
6.2: Odds 117,19,25;

33  11/15 
NS&S, Ch.9:Systems of Linear ODE,9.1, 9.4 
9.1: 3,11;
9.4: 1,3,9,11,17,21,25,27;

34 
11/18 
NS&S, Ch. 9: Systems of linear ODE, 9.56 
9.5: Odds 1321,31,33,35;
9.6: 1,3,9,11,17,19;

35 
11/20 
NS&S, Ch. 9: Systems of linear ODE, 9.78 
9.7:
3,5,10,13,15,27; 9.8:1,3,5,7

36 
11/22 
NS&S, Ch. 10: Fourier series PDE, 10.12 
10.2:1,3,5,9,11,13,21,27,31

37  11/25 
NS&S, Ch. 10:Fourier series PDE, 10. 34  10.3: Odds 111,17,19,26,27,31 10.4: Odds 113,18; 
38  11/27 
NS&S, Ch. 10:Fourier series PDE, 10.56 
10.5:Odds 19,13 10.6: Odds 15,13,15; 
39  11/29 
Thanksgiving 

40  12/2 
NS&S, Ch. 10:Fourier series PDE, 10.67 
10.7:Odds 17 
41 
12/4 
Review: Lay  
42 
12/6 
Review: NS&S  
  12/20 
Final Exam, 11.30am2.30pm 