Math 54, Linear Algebra and Differential Equations, Fall 2015

Exams  |  Quizzes  |  Homework and Lecture Notes

Piazza  |  Useful resources

Photo thanks to Philmon Lei.

Instructor: David Nadler

Office Hours: Tuesdays 1-3pm, 736 Evans, or by appointment.

Enrollment issues: Please contact the registrar or an academic advisor. The math department undergraduate advisors are:

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:

Lectures: Tuesday, Thursday 8-9:30am, Wheeler Auditorium.

Discussion sections: Monday, Wednesday, Friday see Times and Places.

Course Control Number: 53942

Prerequisites: Math 1B or equivalent preparation.

Required text: Lay and Nagle, Saff & Snider, Linear Algebra and Differential Equations, combined Berkeley custom second 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 (5%), quizzes (15%), two in-class midterms (15% for lower score, 25% for higher score), and the final exam (40%).

We will drop your two lowest quiz scores and your two lowest homework scores.

Course policies

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.

Exams

Midterm 1: during lecture meeting, Tuesday, October 6, 2015, material: up to and including Lay Ch. 4.4.

Practice Midterm 1

Practice Midterm 1 Solution

Midterm 1

Midterm 1 Solution

Midterm 2: during lecture meeting, Thursday, October 29, 2015, material: up to and including Lay Ch. 6.3.

Practice Midterm 2

Practice Midterm 2 Solution

Midterm 2

Midterm 2 Solution

Final Exam: Wednesday, December 16, 2015, 3-6pm (Exam Group 11), material: entire course.

Practice Final

Practice Final Solution

Final Exam

Final Exam Solution

Quizzes

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
 8/28
 Sample Quiz 1 Sample Quiz 1 solution
1'
 8/28
 Sample Quiz 1' Sample Quiz 1' solution
2
 9/4
 Sample Quiz 2 Sample Quiz 2 solution
3
 9/11
 Sample Quiz 3 Sample Quiz 3 solution
4
 9/18
 Sample Quiz 4 Sample Quiz 4 solution
5
 9/25
 Sample Quiz 5 Sample Quiz 5 solution
6
 10/2
 Sample Quiz 6 Sample Quiz 6 solution
7
 10/9
 Sample Quiz 7 Sample Quiz 7 solution
8
 10/16
 Sample Quiz 8 Sample Quiz 8 solution
9
 10/23
 Sample Quiz 9 Sample Quiz 9 solution

10/30
 No quiz (day after Midterm 2)
10
 11/6
 Sample Quiz 10 Sample Quiz 10 solution
11
 11/13
 Sample Quiz 11 Sample Quiz 11 solution
12
 11/20
 Sample Quiz 12 Sample Quiz 12 solution
13
 12/4
 Sample Quiz 13 Sample Quiz 13 solution

Homework and Lecture Notes

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 notes
Homework Assignment
1
 Th 8/27
 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
Tue 9/1
 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
Th 9/3
 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
Tue 9/8
 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
Th 9/10
 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
Tue 9/15
 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
 Th 9/17
 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
 Tue 9/22
 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
Th 9/24
 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
 Tue 9/29
 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
 Th 10/1
 Lay, Ch. 4.5,4.6 Lecture 11 4.5: 3,7,11,15,26,27;  4.6: 1,5,9,15,22,33
Tue 10/6
 Midterm 1
12 Th 10/8
 Lay, Ch. 4.7 Lecture 12 4.7: 3,5,9,11,13
13 Tue 10/13
 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
 Th 10/15
 Lay, Ch. 5.3,5.4 Lecture 14 5.3: 1,3,5,7,11,17,21;  5.4: 3,5,7,15
15
 Tue 10/20
 Lay, Ch. 5.5,6.1 Lecture 15 5.5: 1,3,7,13,15; 6.1: 1,5,7,19,22,24
16 Th 10/22
 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 Tue 10/27
 Lay, Ch. 6.4,6.5 Lecture 17 6.4: 1,3,5,9,17; 6.5: 1,3,9,11,17
Th 10/29
 Midterm 2
18
 Tue 11/3
 Lay, Ch. 6.7,7.1 Lecture 18 6.7: 1,5,7,11,16; 7.1: 3,5,9,17,25
19
 Th 11/5
 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)
20 Tue 11/10
 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 Th 11/12
 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 Tue 11/17
 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
 Th 11/19
 NS&S, Ch. 9.5,9.6 Lecture 23 9.5: 13,17,21,31,35; 9.6: 3,9,13,19
24
Tue 11/24
 NS&S, Ch. 10.1,10.2 Lecture 24 10.2: 1,3,5,9,12,15,21,23
25 Tue 12/1
 NS&S, Ch. 10.3 Lecture 25 10.3: 1,5,7,11,17,19,26,27
26 Th 12/3
 NS&S, Ch. 10.4,10.5 Lecture 26 10.4: 1,3,5,11,17,19; 10.5: 3,7,9,15,17
Tue 12/8
 Review Session: Lay
 Review 1
Th 12/10
 Review Session: NS&S
 Review 2
Wed 12/16
 Final Exam

Useful Resources

Some previous Math 54 course web pages:

Study help and tutoring:

Some previous Math 54 exams: Math 54 Worksheets

An interactive online textbook (thanks to Alven Wang for the link)