| Location: | MS 5147 |
| Lectures: | MWF 1:00-1:50 |
| Tutorial: | TR 1:00-1:50 |
| Text: |
Linear Algebra, Fourth Edition. Friedberg, Insel and Spence.
(Errata)
Custom UCLA edition, with a supplement from: Mathematical Thinking Problem-Solving and Proofs, Second Edition. D'Angelo and West. |
| Course Homepage: | http://www.math.ucla.edu/~aduncan/115a.5.11f/ |
| Instructor: | Alexander Duncan |
| Office: | MS 6236 |
| Office Hours: | M9:30-10:30, W9:30-11:30 |
| Teaching Assistant: | Stedman Wilson |
| Office: | MS 6147 |
| Office Hours: | TR2:00-3:00 |
This course is a practical course in theory, and is in some ways two courses in one. While linear algebra is the core content of the course, there is an emphasis on proof.
According to the catalog, the content of the course is: "Techniques of proof, abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory." The prerequisite course is Math 33A.
We will be covering chapters 1.2-1.6, 2.1-2.5, 4.4, 5.1-5.2, and 6.1-6.4 from the text.
Please check the course website regularly for announcements.
(Nov 23) Problem set 8 is now available: due Friday, December 2.
(Nov 20) Please note a typo was corrected in problem 2 of problem set 7.
(Nov 18) Problem set 7 is now available: due Monday, November 28.
(Nov 11) Problem set 6 is now available: due Friday, November 18.
(Nov 9) Midterm 2 solutions are posted below.
(Oct 31) Midterm 2 will be held in MS 5117 and MS 5147. Please see below to determine which room you are writing!
(Oct 28) Problem set 5 is now available: due Friday, November 4.
(Oct 21) Problem set 4 is now available: due Friday, October 28.
(Oct 14) Midterm 1 solutions are posted below.
(Oct 14) Problem set 3 is now available: due Friday, October 21.
(Oct 11) Midterm 1 will be held in Public Affairs 2214
(Oct 3) Please note that my office hours this week have been rescheduled to Monday, October 3 from 10:00 to 11:00, and Wednesday, October 5 from 10:00 to 12:00. Sorry for the inconvenience.
(Sep 30) Problem set 2 is now available: due Friday, October 7.
(Sep 23) Please note a typo was corrected in problem 3 of problem set 1.
(Sep 23) Problem set 1 is now available and due September 30. Please be sure to follow the assignment guidelines below.
(Sep 30) Problem Set 1 due
(Oct 7) Problem Set 2 due
(Oct 14) Midterm 1
(Oct 21) Problem Set 3 due
(Oct 28) Problem Set 4 due
(Nov 4) Problem Set 5 due
(Nov 9) Midterm 2
(Nov 11) No lecture (Veteran's Day)
(Nov 18) Problem Set 6 due
(Nov 24) No tutorial (Thanksgiving)
(Nov 25) No lecture (Thanksgiving)
(Nov 28) Problem Set 7 due
(Dec 2) Problem Set 8 due
(Dec 5) Final Exam
The Final Exam will take place in MS 5147 from 11:30 to 2:30 on Monday, December 5.
The final is closed book: no notes, formula sheets or external material will be allowed. Bring your student card.
The final exam is cumulative and will cover all material in the course. Specifically, you should know the following:
Note the following material will not be covered:
Midterm exams will occur during class time (although perhaps not in the same room).
Both midterms and the final will be closed book: no notes, formula sheets or external material will be allowed. As in the problem sets, all statements must be proved unless you are explicitly instructed otherwise. Acknowledging the time constraints, the presentation guidelines will not apply; however, the content guidelines still apply. Do not take this as an invitation to write the exam in crayon.
Since these are closed book tests, I do not expect you to cite theorems by number. It is fine to say, for example, "We conclude that W is a subspace since 0 is in W and cx+y is in W for all x,y in W and all c in F" without explicitly mentioning that this follows from Problem 3 of Problem Set 2. You are, of course, responsible for knowing the theorems and definitions thoroughly and precisely (how can you conclude that V is a vector space if you don't know what it is?).
Location: Public Affairs 2214
You are responsible for all of the material in sections 1.2-1.6 of the text except for Lagrange interpolation. You are expected to know all of the exercises assigned on problem sets 1 and 2 including the definitions (skew-symmetric, direct sum etc.). In addition, you are expected to know all of the material in the supplementary chapters on proof (proof by contradiction, induction and so on).
Locations: MS 5147 - Surname A-K MS 5117 - Surname L-Z
Please note, there are two different rooms: please show up to the room for your surname! The midterm will have similar structure to midterm 1, but a bit shorter. There will 2 short "prove or find a counterexample" questions, and 3 longer problems.
The main focus of midterm 2 is Sections 2.1-2.5 of the text. I will assume you are familiar with the material in sections 3.1-4.4 as it is mostly review from Math 33A. Specifically, you should know the following:
Note the following material will not be covered:
Your final grade will be computed using the higher of the following two schemes. Final grades are subject to scaling. There will be no make-up midterms and no marks for late problem sets. The lowest problem set mark will be dropped.
If you will miss a midterm for any reason, please see me as soon as possible. Any requests for regrading must be within two weeks after the midterms or problem sets are returned.
Scheme 1
|
Scheme 2
|
All course grades will be available online at my.ucla.edu. Note that the due dates and number of problem sets are tentative.
There will be a new problem set approximately every week, except when there is a midterm.
| Problem Set 1 | due Friday, September 30 |
| Problem Set 2 | due Friday, October 7 |
| Problem Set 3 | due Friday, October 21 |
| Problem Set 4 | due Friday, October 28 |
| Problem Set 5 | due Friday, November 4 |
| Problem Set 6 | due Friday, November 18 |
| Problem Set 7 | due Monday, November 28 |
| Problem Set 8 | due Friday, December 2 |
The lowest problem set grade will be dropped. Problem sets should be handed in at the beginning of lecture or it will be considered late. Late assignments will be given a mark of 0. If you suspect that you are unable to hand in a problem set on time in lecture, please let me know so we can make alternate arrangements. Any requests for regrading must be within two weeks after the problem set is returned.
Collaboration is strongly encouraged. Your fellow students are the most valuable resource at this university. However, please be sure to write up your final solutions on your own.
Do not hand in your first draft. All problem sets should follow the following presentation guidelines.
A few scratched out words or paragraphs is fine, but significant deviation from these guidelines will be result in a 10% penalty.
Since this is a course in proof, prove every claim you make unless explicitly told otherwise. Do not make false or irrelevant statements. As a guideline, assume your intended audience is a member of the class who suspects there is an error in the question; your answer should be convincing even to her. The main goal here is communication. Use complete sentences and explain what you are doing.