Math 54: Linear algebra and Differential equations


Instructor: Vivek Shende
Lectures: Tu-Th 9:30 - 11:00 AM, 105 Stanley Hall
Office Hours: Tuesdays, 2-4 pm, 873 Evans, or by appointment
Final location & Discussion sections

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.


Piazza: ask and answer questions here.


Enrollment issues: Please contact Thomas Brown, 965 Evans, brown@math.berkeley.edu, (510) 643-9292.



GSIs:

Ruochen Liang
Eugene Rabinovich
Alexander Shapiro
Ben Wormleighton

You are welcome to attend the office hours of any GSI.


Grading: Based on homework (10%), quizzes (10%), two midterms (20% each) and the final exam (40%).

There will be no makeup homework, quizzes, midterms, or finals, except for in the case of extreme medical emergencies. Instead, we have the following policies in place:


(If you miss both midterms, or miss the final, you will fail the class.)

Incompletes will be offered only if a medical emergency causes you to miss the final, and only if your work up to that point has been satisfactory.




Academic integrity: 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. Follow the honor code: "As a member of the UC Berkeley community, I act with honesty, integrity, and respect for others."




Exams

Midterm 1: at lecture meeting, Tuesday Feb. 16 ; covers Lay chapters 1-3.

Practice Midterm 1 and its solutions
The actual Midterm 1.

Midterm 2: at lecture meeting, Thursday Mar. 17 ; covers up to Lay 6.3.

Practice Midterm 2 and the solutions
The actual Midterm 2.

Final: Wednesday May 11; 11:30-2:30 (Group 10); covers the entire class.

Practice Final and its solutions




Quizzes: There is a quiz every Friday during discussion section. The quizzes are intended to check that you have a basic understanding of the material, and are significantly easier than the exams.




Lecture and homework schedule: There will be one homework assignment for every lecture. Homework for the Tuesday lecture is due the following Monday. Homework for the Thursday lecture is due the following Wednesday.

You are encouraged to discuss ideas with other students. However, you must write and hand in your solutions independently. Please follow your GSI's instructions for turning in the homework. Each week one or two problems from the homework assignments will be graded.

The lecture and homework schedule is as follows. I will post the slides after every lecture, in two versions. The “sl” version has pauses in them just like in the lecture. The “ho” slides have no pauses.

Date Text Sections Slides Homework
1 1/19 (Tu) Lay: 1.1, 1.2 sl , ho 1.1 : 1,5,7,13,15,20,28; 1.2 : 1,5,7,11,15,23,26,30
2 1/21 (Th) Lay: 1.3, 1.4 sl , ho 1.3 : 1,5,7,11,15,22,25; 1.4 : 1,5,7,9,11,17,18,29
3 1/26 (Tu) Lay: 1.5, 1.7 sl , ho 1.5 : 1,5,9,14,24,29; 1.7 : 1,5,11,17,21,23,33,36
4 1/28 (Th) Lay: 1.8, 1.9 sl , ho 1.8 : 1,3,9,15,19,21,33,36; 1.9 : 1,5,9,15,23,24
5 2/2 (Tu) Lay: 2.1, 2.2 sl , ho 2.1 : 1,3,7,11,15,23,27; 2.2 : 1,5,9,13,21,38
6 2/4 (Th) Lay: 2.3, 2.6 sl , ho 2.3 : 1,3,7,11,13,15,19,30; 2.6 : 3,5,7,9,21,23
7 2/9 (Tu) Lay: 2.7, 3.1 sl , ho 2.7 : 3,5,7,9,16,21,23, 24; 3.1 : 1,5,9,13,19,21, 41
8 2/11 (Th) Lay: 3.2, 3.3 sl , ho 3.2 : 1,3,5,7,11,19,21,27,31,33-35; 3.3 : 3,7,13,21,32
2/16 (Tu) Midterm 1
9 2/18 (Th) Lay: 4.1, 4.2 sl , ho 4.1 : 1,3,9,13,24,32; 4.2 : 1,3,5,7,9,23,25
10 2/23 (Tu) Lay: 4.3, 4.4 sl , ho 4.3 : 3,7,13,15,21,32; 4.4 : 1,3,7,15,19,27
11 2/25 (Th) Lay: 4.5, 4.6 none 4.5 : 3,7,11,15,26,27; 4.6 : 1,5,9,15,22,33
12 3/1 (Tu) Lay: 4.7 sl , ho 4.7 : 3,5,9,11,13
13 3/3 (Th) Lay: 5.1, 5.2 sl , ho 5.1 : 1,5,7,9,13,17,21; 5.2 : 3,9,11,15,19,21
14 3/8 (Tu) Lay: 5.3, 5.4 sl , ho 5.3 : 1,3,5,7,11,17,21; 5.4 : 3,5,7,15
15 3/10 (Th) Lay: 5.5, 6.1 sl , ho 5.5 : 1,3,7,13,15; 6.1 : 1,5,7,19,22,24
16 3/15 (Tu) Lay: 6.2, 6.3 sl , ho 6.2 : 5,7,9,13,15,23; 6.3 : 1,3,9,11,17,21
3/17 (Th) Midterm 2
3/22 (Tu) Spring Break
3/24 (Th) Spring Break
17 3/29 (Tu) Lay: 6.4, 6.5 sl , ho 6.4 : 1,3,5,9,17; 6.5 : 1,3,9,11,17
18 3/31 (Th) Lay: 6.7, 7.1 sl , ho 6.7 : 1,5,7,11,16; 7.1 : 3,5,9,17,25
19 4/5 (Tu) NS&S: 4.2, 4.3 sl , ho 4.2 : 3,5,10,13,27,34; 4.3 : 1,3,21,24,29(b)
20 4/7 (Th) NS&S: 4.4, 4.5 sl , ho 4.4 : 3,5,7,13,21,27,31,33; 4.5 : 1(b),3,5,9,21,27,33
21 4/12 (Tu) NS&S: 6.1, 6.2 sl , ho 6.1 : 3,7,17,19,23,27; 6.2 : 3,7,15,20,25
22 4/14 (Th) NS&S: 9.1, 9.4 sl , ho 9.1 : 3,7,10,13; 9.4 : 3,7,13,16,19,23,27
23 4/19 (Tu) NS&S: 9.5, 9.6 sl , ho 9.5 : 13,17,21,31,35; 9.6 : 3,9,13,19
24 4/21 (Th) NS&S: 10.1, 10.2 sl , ho 10.2 : 1,3,5,9,12,15,21,23
25 4/26 (Tu) NS&S: 10.3 sl , ho 10.3 : 1,5,7,11,17,19,26,27
26 4/28 (Th) NS&S: 10.4, 10.5 sl , ho 10.4 : 1,3,5,11,17,19; 10.5 : 3,7,9,15,17
5/11 (W) Final Exam





Other resources:

Math 54 Worksheets

Study groups, reviews, and drop-in tutoring for Math 54 at the Student Learning Center.

Math department list of tutors.

Some previous Math 54 exams: Math department archive, Tau Beta Pi archive.