Instructor: David Nadler
Office Hours: Thursdays 12-2pm, 736 Evans, or by appointment.
GSIs
You are welcome to attend the office hours of any GSI.
Midterm 1 extra office hours/review sessions; you are welcome to attend those of any GSI:
Midterm 2 extra office hours/review sessions; you are welcome to attend those of any GSI:
Final exam instructor availabilities, all during RRR Week unless otherwise noted; you are welcome to attend reviews and office hours of any GSI:
For many study resources, you could go to Peyam Tabrizian's Math 54 webpage.
Some suggested book exercises for Midterm 2: 4.5: 1-20; 4.6: 1-18, 27-29; 4.7: 1-14; 5.1: 1-32; 5.2: 1-22; 5.3: 1-32; 5.4: 1-29; 5.5: 1-20; 6.1: 1-31; 6.2: 1-34; 6.3: 1-24.
Lectures: Tuesday, Thursday 9:30-11am, Wheeler Auditorium.
Discussion sections: Monday, Wednesday, Friday see Times and Places.
Course Control Number: 53963
Prerequisites: Math 1B or equivalent preparation.
Required text: Lay, Linear Algebra and Nagle, Saff and Snider, Fundamentals of Differential Equations, combined Berkeley custom edition.
Syllabus: Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; linear transformations. Homogeneous ordinary differential equations; second-order differential equations with constant coefficients. Fourier series and partial differential equations.
Grading policy: Based on homework and quizzes (20%), two in-class midterms (20% each), and the final exam (40%).
We will drop your two lowest quiz scores and your two lowest homework scores.
Academic honesty: You are expected to rely on your own knowledge and ability, and not use unauthorized materials or represent the work of others as your own. Protect your integrity and follow the honor code: "As a member of the UC Berkeley community, I act with honesty, integrity, and respect for others."
There will be no make-up exams or quizzes. No late homework will be accepted.
Grades of Incomplete will be granted only for dire medical or personal emergencies that cause you to miss the final, and only if your work up to that point has been satisfactory.
Midterm 1: during lecture meeting, Tuesday, October 7, 2014, material: up to and including Lay Ch. 4.4.
Another Practice Midterm 2, by Dong Gyu Lim
Another Practice Midterm 2 Solution, by Dong Gyu Lim
Final Exam: Tuesday, December 16, 2014, 3-6pm (Exam Group 7), material: entire course.
There will be weekly quizzes during Friday discussion sections. They will be modeled on the sample quizzes below.
| |
Quiz date |
Sample quiz |
Sample solution |
| 1 |
8/29 |
Sample Quiz 1 | Sample Quiz 1 solution |
| 2 |
9/5 |
Sample Quiz 2 | Sample Quiz 2 solution |
| 3 |
9/12 |
Sample Quiz 3 | Sample Quiz 3 solution |
| 4 |
9/19 |
Sample Quiz 4 | Sample Quiz 4 solution |
| 5 |
9/26 |
Sample Quiz 5 | Sample Quiz 5 solution |
| 6 |
10/3 |
Sample Quiz 6 | Sample Quiz 6 solution |
| 7 |
10/10 |
Sample Quiz 7 | Sample Quiz 7 solution |
| 8 |
10/17 |
Sample Quiz 8 | Sample Quiz 8 solution |
| 9 |
10/24 |
Sample Quiz 9 | Sample Quiz 9 solution |
| 10/31 |
No quiz (midterm day before) | ||
| 10 |
11/7 |
Sample Quiz 10 | Sample Quiz 10 solution |
| 11 |
11/14 |
Sample Quiz 11 | Sample Quiz 11 solution |
| 12 |
11/21 |
Sample Quiz 12 | Sample Quiz 12 solution |
| 13 |
12/5 |
Sample Quiz 13 | Sample Quiz 13 solution |
There will be homework attached to each lecture. Homework for Tuesday lectures is due the following Monday. Homework for Thursday lectures is due the following Wednesday.
Please follow your individual GSI's instructions as to how to turn it in.
You are encouraged to discuss ideas with other students. However, you must write and hand in your solutions independently.
Each week one or two problems from the homework assignments will be graded.
| |
Lecture date |
Text sections |
Lecture slides |
Homework Assignment |
| 1 |
8/28 |
Lay, Ch. 1.1,1.2 | Lecture 1
|
1.1:
1,5,7,13,15,20,28;
1.2: 1,5,7,11,15,23,26,30 |
| 2 |
9/2 |
Lay, Ch. 1.3,1.4 | Lecture 2 | 1.3:
1,5,7,11,15,22,25;
1.4: 1,5,7,9,11,17,18,29 |
| 3 |
9/4 |
Lay, Ch. 1.5,1.7 | Lecture 3 |
1.5: 1,5,9,14,24,29; 1.7: 1,5,11,17,21,23,33,36
|
| 4 |
9/9 |
Lay, Ch. 1.8,1.9 | Lecture 4 | 1.8: 1,3,9,15,19,21,33,36;
1.9: 1,5,9,15,23,24
|
| 5 |
9/11 |
Lay, Ch. 2.1,2.2 | Lecture 5 | 2.1:
1,3,7,11,15,23,27; 2.2:
1,5,9,13,21,38 |
| 6 |
9/16 |
Lay, Ch. 2.3,2.6 | Lecture 6 | 2.3: 1,3,7,11,13,15,19,30; 2.6: 3,5,7,9,21,23 |
| 7 |
9/18 |
Lay, Ch. 2.7,3.1 | Lecture 7 | 2.7: 3,5,7,9,16,21,23,
24; 3.1: 1,5,9,13,19,21,
41 |
| 8 |
9/23 |
Lay, Ch. 3.2,3.3 | Lecture 8 | 3.2: 1,3,5,7,11,19,21,27,31,33-35;
3.3: 3,7,13,21,32 |
| 9 |
9/25 |
Lay, Ch. 4.1,4.2 | Lecture 9 | 4.1:
1,3,9,13,24,32; 4.2: 1,3,5,7,9,23,25 |
| 10 |
9/30 |
Lay, Ch. 4.3,4.4 | Lecture 10 | 4.3:
3,7,13,15,21,32; 4.4:
1,3,7,15,19,27
|
| 11 |
10/2 |
Lay, Ch. 4.5,4.6 | Lecture 11 | 4.5:
3,7,11,15,26,27;
4.6:
1,5,9,15,22,33 |
| 10/7 |
Midterm 1 |
|||
| 12 | 10/9 |
Lay, Ch. 4.7 | Lecture 12 | 4.7:
3,5,9,11,13
|
| 13 | 10/14 |
Lay, Ch. 5.1,5.2 | Lecture 13 |
5.1: 1,5,7,9,13,17,21;
5.2: 3,9,11,15,19,21
|
| 14 |
10/16 |
Lay, Ch. 5.3,5.4 | Lecture 14 |
5.3: 1,3,5,7,11,17,21;
5.4: 3,5,7,15 |
| 15 |
10/21 |
Lay, Ch. 5.5,6.1 | Lecture 15 |
5.5: 1,3,7,13,15;
6.1: 1,5,7,19,22,24 |
| 16 | 10/23 |
Lay, Ch. 6.2,6.3 | Lecture 16 |
6.2: 5,7,9,13,15,23;
6.3: 1,3,9,11,17,21
|
| 17 | 10/28 |
Lay, Ch. 6.4,6.5 | Lecture 17 |
6.4: 1,3,5,9,17;
6.5: 1,3,9,11,17
|
| 10/30 |
Midterm 2 | |||
| 18 |
11/4 |
Lay, Ch. 6.7,7.1 | Lecture 18 |
6.7: 1,5,7,11,16;
7.1: 3,5,9,17,25
|
| 19 |
11/6 |
NS&S, Ch. 4.2,4.3 | Lecture 19 | 4.2:
3,5,10,13,27,34; 4.3: 1,3,21,24,29(b)
|
| |
11/11 |
Veterans Day |
|
|
| 20 | 11/13 |
NS&S, Ch. 4.4,4.5 | Lecture 20 | 4.4:
3,5,7,13,21,27,31,33; 4.5: 1(b),3,5,9,21,27,33
|
| 21 | 11/18 |
NS&S, Ch. 6.1,6.2 | Lecture 21 | 6.1:
3,7,17,19,23,27; 6.2: 3,7,15,20,25
|
| 22 | 11/20 |
NS&S, Ch. 9.1,9.4 | Lecture 22 | 9.1: 3,7,10,13; 9.4: 3,7,13,16,19,23,27 |
| 23 |
11/25 |
NS&S, Ch. 9.5,9.6 | Lecture 23 | 9.5:
13,17,21,31,35; 9.6: 3,9,13,19 |
| 24 |
12/2 |
NS&S, Ch. 10.1,10.2 | Lecture 24 | 10.2:
1,3,5,9,12,15,21,23 |
| 25 | 12/4 |
NS&S, Ch. 10.3 | Lecture 25 | 10.3:
1,5,7,11,17,19,26,27 |
| 12/9 |
Review Session: Lay |
|||
| 12/11 |
Review Session: NS&S |
|||
| 12/16 |
Final Exam |
|
Some previous Math 54 course home pages: