Mathematics 54, Spring 2008

TuTh 11:00am-12:30pm, Room 2050 Valley Life Science

Sample midterm 1 Sample midterm 2
Syllabus:  Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product as spaces. Eigenvalues and eigenvectors; linear transformations. Homogeneous ordinary differential equations; first-order differential equations with constant coefficients. Fourier series and partial differential equations.


Professor  Daniel Tataru
Telephone: (510) 643-1284
email: tataru@math.berkeley.edu
Office: 841 Evans Hall
Office hours: Monday 9:10-10:30, Tuesday 8:30-10:00

Textbooks:
David Lay, Linear Algebra and It's Applications, 3rd edition
                       Nagle, Saff and Snider, Fundamentals of Differential Equations and Boundary Value Problems
                       For both you can get the paperback Berkeley editions.

Head TA: Lynn Scow,    lynn@math.berkeley.edu
                    He handles  all enrollment issues (waitlist, section changes, etc)

Class meetings and sections: The class meets in 2050 Valley LS 11:00-12:30 am on Tuesdays and Thursdays. If you take this course you are expected to attend lectures, enroll in and attend one of the discussion sections listed below, do the homework each week, and take the two midterms and the final. All discussion sections meet MWF.

Section Time Place Instructor
101
8am
79   DWINELLE
Y. Huang
102
8am
9   EVANS
L. Mannisto
103
10am
3102 ETCHEVERRY
Y. Huang
104
12pm
6   EVANS
G. Sivek
105
2pm
3105  ETCHEVERRY
I. Ventura
106
1pm
0246   DWINELLE
L. Mannisto
107
3pm
0321   HAVILAND
I. Ventura
 108
2pm
87   EVANS
K. Choi
   109
 5pm
71    EVANS
G. Sivek
   110
 4pm
2   EVANS
A. Kornell


Exams:

All the exams are "closed book". In particular you may not bring textbooks, notebooks or calculators.
              

Exam Date Material covered
Midterm # 1  February  28
Lay, Ch. 1-4
Midterm # 2    April 8
Lay, Ch. 5-7
Final Exam    May 20
 Lay+NS&S


Grading:

 You will receive four letter grades, one for each of the following: homework and quizzes, the two midterms and the final exam. These grades are roughly based on a curve. As a guideline, a 90% score is at least A-, 75% is  at least B- and 60% is at least  C-. 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 final grade will be the (rounded) average of these grades, with the  the final exam counting double. In the borderline cases we will make a decision on a case by case basis. The grade distribution for Math 54 in recent years was roughly as follows:  25% A,  35%B, 25%C and 15% D/F.

The final homework and quiz grade will be computed from the grades for the 10 best homeworks and 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 50% more. If you miss both midterms or the final then you have likely failed the class. There will be no makeup exams or quizzes.

Homework and quizzes:

There will be a quiz given each Wednesday in the discussion sections.  Homework for the Tuesday class is due on the following Monday, and for the Thursday class it is due on the following Friday.   There will be no make-up quizzes and late homework will not be accepted.  Collaboration on homework is encouraged, but you need to write up your own.

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.



Date
Content
 Homework Assignment
1
1/22
Lay, Ch. 1: Linear Equations,  1.1-2  1.1: Odds 1-15, 20, 28;  1.2:Odds 1-15, 23-26,30
2
1/24
Lay, Ch. 1: Linear Equations,  1.3-5 1.3: Odds 1-15, 22,25; 1.4:1,5,7,9,11,17,18,29,34;  1.5:         1,5,9,14,24,29-32
3
1/29
Lay, Ch. 1: Linear Equations,  1.7-9 1.7:1,5,11,17,21,23,33;  1.8:1,3,9,15,16,19,21,33,36;   1.9:Odds 1-11,17,29,30,35
4
1/31
Lay, Ch. 2: Matrix Algebra,  2.1-3 2.1: 1,3,7,11,15,23,24,27; 2.2: Odds 1-15, 21,38; 2.3:1,3,7,11,13,15,19,21,24,30
5
2/5
Lay, Ch. 2: Matrix Algebra,  2.8-9 2.8: Odds 1-17, 21, 23; 2.9: Odds 1-15, 19, 21,23, 24
6
2/7
Lay, Ch. 3: Determinants, 3.1-3.3 3.1: 1,5,9,13,19-22, 41; 3.2:1,3,5,7,11,19,21,27,31,33-35; 3.3:Odds 1-11,21,25,32
7
2/12
Lay, Ch. 4: Vector Spaces, 4.1-2 4.1: Odds 1-15, 24,27,32; 4.2:1,3,5,7,9,23,25,30
8
2/14
Lay, Ch. 4: Vector Spaces, 4.3-4 4.3: Odds 1-15, 21,32,33; 4.4: Odds 1-15, 19,27
9
2/19
Lay, Ch. 4: Vector Spaces, 4.5-6 4.5: Odds 1-21, 26,27;  4.6: Odds 1-17, 23,33
10
2/21
Lay, Ch. 4: Vector Spaces, 4.7 4.7: Odds 1-13
11 2/26
Review: Lay, Ch. 1-4
12
2/28
Midterm 1

13 3/4
Lay, Ch. 5: Eigenvalues and Eigenvectors, 5.1-2 5.1:1,5,7,9,13,17,21;  5.2:3,9,11,15,19,21
14
3/6
Lay, Ch. 5: Eigenvalues and Eigenvectors, 5.3-4 5.3: 1,3,5,7,11,17,21;  5.4: Odds 1-13
15
3/11
Lay, Ch. 5: Eigenvalues and Eigenvectors, 5.5 5.5: 1,3,7,13,15
16 3/13
Lay, Ch. 6: Orthogonality, 6.1-2 6.1: Odds 1-15,19,22,24;  6.2: 1,5,7,9,11,13,15,23
17 3/18
Lay, Ch. 6: Orthogonality, 6.3-4 6.3: 1,3,9,11,17,21;  6.4: 1,3,5,9,15,17
18
3/20
Lay, Ch. 6: Orthogonality, 6.5, 6.7 6.5: 1,3,9,11,17;  6.7: Odds 1-17
19 4/1
Lay, Ch. 7: Symmetric Matrices, 7.1 Odds 1-17,25
20 4/3
Review: Lay, Ch. 5-7
21 4/8
Midterm 2
22
4/10
NS&S, Ch. 4: Second Order Linear ODE, 4.2-3 4.2: 3,5,10,13,15,27,29,34; 4.3:1,3,21,24,29(a)
23
4/15
NS&S, Ch. 4: Second Order Linear ODE, 4.4-5 4.4: 3,5,7,11,13,21,27,29,31,33; 4.5:1,3,5,9,11,13,21,27,31
24 4/17
NS&S, Ch. 4: Higher Order Linear ODE, 6.1-2 6.1: Odds 1-13,15,19,23,27; 6.2:Odds 1-11,17,19,25
25 4/22
NS&S, Ch. 9: Systems of Linear ODE, 9.1, 9.4 9.1: Odds 1-13; 9.4:Odds 1-9,13,16,17,19,21,25,27
26 4/24
NS&S, Ch. 9: Systems of Linear ODE, 9.5-6 9.5: Odds 13-21,31,33,35; 9.6:Odds 1-7,13,19
27
4/29
NS&S, Ch. 10: Fourier Series, PDE, 10.1-2 10.2 :1,3,5,9,11,12,15,21,23
28
5/1
NS&S, Ch. 10: Fourier Series, PDE, 10.3 10.3: Odds 1-11;17,19,26,27,31
29
5/6
NS&S, Ch. 10: Fourier Series, PDE, 10.4-5 10.4: 1,3,5,7,11,17,19; 10.5:1,3,7,9,15,17
30
5/8
Review: NS&S

-- 5/20
 Final Exam, 8-11am
230 Hearst Gym