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Instructor: David Nadler
Office Hours: Wednesdays 12-2pm, 891 Evans.
GSIs, office hours, locations
You must turn in homework and take quizzes within your assigned section, but you are welcome and encouraged to attend the office hours of any GSI.
Midterm 1 extra office hours/review sessions; you are welcome and encouraged to attend those of any GSI:
Midterm 2 extra office hours/review sessions; you are welcome and encouraged to attend those of any GSI:
Final exam instructor availabilities, all during RRR Week unless otherwise noted; you are welcome and encouraged to attend reviews and office hours of any GSI:
Lectures: Tuesday, Thursday 12:30-2pm, Wheeler Auditorium.
Discussion sections: Monday, Wednesday, Friday see Times and Places.
Class number:16585
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, symmetric matrices. Linear ordinary differential equations (ODE); systems of linear ODE. Fourier series.
We will cover the following sections of the textbook:
Grading policy: Based on homework (5%), quizzes (20%), two in-class midterms and the final exam (75%).
We will drop your two lowest quiz scores and your two lowest homework scores.
Each midterm will be worth 25% and the final exam will be worth 50% = 2 x 25%.
Of these four 25% scores, we will drop the lowest and keep your best three to arrive at 75%.
Example: Alice's scores are Midterm 1: 90, Midterm 2: 82, Final exam: 94.
So her four 25% scores are 90, 82, 94, 94.
We will drop 82 and average 90, 94, 94 to arrive at 92 2/3.
Example: Bob's scores are Midterm 1: 91, Midterm 2: 93, Final exam 88.
So his four 25% scores are 91, 93, 88, 88.
We will drop one 88 and average 91, 93, 88 to arrive at 90 2/3.
Final grades will roughly follow historical distributions as recorded at berkeleytime.
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, September 26, 2017, material: up to and including Lay Ch. 3.3.
Mean: 50.2/60, Median: 52.5/60, Standard deviation: 8.6, Histogram
Midterm 2: during lecture meeting, Tuesday, October 31, 2017, material: up to and including Lay Ch. 6.5.
Mean: 39.4/60, Median: 40.5/60, Standard deviation: 10.7, Histogram
Final Exam: Thursday, December 14, 2017, 3-6pm (Exam Group 15), RSF, material: entire course.
Mean: 42.9/90, Median: 42/90, Standard deviation: 15.3, Histogram
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 |
8/25 |
Sample quiz 1 | Sample quiz 1 solution |
| 2 |
9/1 |
Sample quiz 2 | Sample quiz 2 solution |
| 3 |
9/8 |
Sample quiz 3 | Sample quiz 3 solution |
| 4 |
9/15 |
Sample quiz 4 | Sample quiz 4 solution |
| 5 |
9/22 |
Sample quiz 5 | Sample quiz 5 solution |
| 6 |
9/29 |
Sample quiz 6 | Sample quiz 6 solution |
| 7 |
10/6 |
Sample quiz 7 | Sample quiz 7 solution |
| 8 |
10/13 |
Sample quiz 8 | Sample quiz 8 solution |
| 9 |
10/20 |
Sample quiz 9 | Sample quiz 9 solution |
| 10 |
10/27 |
Sample quiz 10 | Sample quiz 10 solution |
| 11 |
11/3 |
Sample quiz 11 | Sample quiz 11 solution |
| 11/10 |
Veterans Day eve | sez Ike | |
| 12 |
11/17 |
Sample quiz 12 | Sample quiz 12 solution |
| 11/24 |
Happy Thanksgiving! | I am thankful for... | |
| 13 |
12/1 |
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 notes |
Homework Assignment |
| 1 |
Th 8/24 |
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 8/29 |
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 8/31 |
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 9/5 |
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 9/7 |
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 9/12 |
Lay, Ch. 2.3,3.1 | Lecture 6 | 2.3: 1,3,7,11,13,15,19,30; 3.1: 1,5,9,13,19,21,
41 |
| 7 |
Th 9/14 |
Lay, Ch. 3.2,3.3 | Lecture 7 | 3.2: 1,3,5,7,11,19,21,27,31,33-35;
3.3: 3,7,13,21,32 |
| 8 |
Tue 9/19 |
Lay, Ch. 4.1,4.2 | Lecture 8 | 4.1:
1,3,9,13,24,32; 4.2: 1,3,5,7,9,23,25 |
| 9 |
Th 9/21 |
Lay, Ch. 4.3,4.4 | Lecture 9 | 4.3:
3,7,13,15,21,32; 4.4:
1,3,7,15,19,27
|
| Tue 9/26 |
Midterm 1 | material: up to and including Lay Ch. 3.3
|
||
| 10 |
Th 9/28 |
Lay, Ch. 4.5,4.6 | Lecture 10 | 4.5:
3,7,11,15,26,27;
4.6:
1,5,9,15,22,33 |
| 11 | Tue 10/3 |
Lay, Ch. 4.7 | Lecture 11 | 4.7:
3,5,9,11,13
|
| 12 | Th 10/5 |
Lay, Ch. 5.1,5.2 | Lecture 12 |
5.1: 1,5,7,9,13,17,21;
5.2: 3,9,11,15,19,21
|
| 13 |
Tue 10/10 |
Lay, Ch. 5.3,5.4 | Lecture 13 |
5.3: 1,3,5,7,11,17,21;
5.4: 3,5,7,15 |
| 14 |
Th 10/12 |
Lay, Ch. 5.5,6.1 | Lecture 14 |
5.5: 1,3,7,13,15;
6.1: 1,5,7,19,22,24 |
| 15 | Tue 10/17 |
Lay, Ch. 6.2,6.3 | Lecture 15 |
6.2: 5,7,9,13,15,23;
6.3: 1,3,9,11,17,21
|
| 16 | Th 10/19 |
Lay, Ch. 6.4,6.5 | Lecture 16 |
6.4: 1,3,5,9,17;
6.5: 1,3,9,11,17
|
| 17 |
Tue 10/24 |
Lay, Ch. 6.7,7.1 | Lecture 17 |
6.7: 1,5,7,11,16;
7.1: 3,5,9,17,25
|
| 18 |
Th 10/26 |
Lay, Ch. 7.2 | Lecture 18 |
7.2: 1,5,7,19,23,24,27
|
| Tue 10/31 |
Midterm 2 (Boo!) | material: up to and including Lay Ch. 6.5 | ||
| 19 |
Th 11/2 |
Lay, 5th edition, Ch. 7.4 | Lecture 19 |
5th edition, 7.4: 1,3,7,9,17,20,25
|
| 20 |
Tue 11/7 |
NS&S, Ch. 4.2,4.3 | Lecture 20 | 4.2:
3,5,10,13,27,34; 4.3: 1,3,21,24,29(b)
|
| 21 | Th 11/9 |
NS&S, Ch. 4.4,4.5 | Lecture 21 | 4.4:
3,5,7,13,21,27,31,33; 4.5: 1(b),3,5,9,21,27,33
|
| 22 | Tue 11/14 |
NS&S, Ch. 4.6,9.1 | Lecture 22 | 4.6: 1,3,9,11;
9.1: 3,7,10,13
|
| 23 | Th 11/16 |
NS&S, Ch. 9.4,9.5 | Lecture 23 | 9.4: 3,7,13,16,19,23,27;
9.5:
13,17,21,31,35 |
| 24 |
Tue 11/21 |
NS&S, Ch. 9.6,9.7 | Lecture 24 | 9.6: 3,9,13,19;
9.7:3,5,13,15,21 |
| Th 11/23 |
Happy Thanksgiving! |
Give thanks to Sarah Josepha Hale | ||
| 25 |
Tue 11/28 |
NS&S, Ch. 10.3,10.4 | Lecture 25 | 10.3:
1,5,7,11,17,19,26,27;
10.4:
1,3,5,11,17,19
|
| 26 | Th 11/30 |
NS&S, Ch. 10.5 | Lecture 26 | 10.5: 3,7,9,15,17
|
| Tue 12/5 |
Review Session: Lay |
Review 1 | ||
| Th 12/7 |
Review Session: NS&S |
Review 2 | ||
| Th 12/14 |
Final Exam |
material: entire course |
Some previous Math 54 course web pages:
Study help and tutoring:
Math 54 Worksheets.
Math 54 Proofs and Formulas. (Thanks to Camille Hillion.)
Some online linear algebra:
