UCSD MATH 102
Page last updated:
Applied Linear Algebra — Fall 2012
Fri Dec 14 16:51:34 PST 2012
- Instructor: Michael Soltys
- Lectures: Mo, We, Fr, at 3:00-3:50, in
PCYNH 122 (Pepper Canyon Hall)
- Instructor office hours:
Mondays, 11:30-1:30, in APM 5157,
or by appointment (send me an email)
- Janine LoBue <firstname.lastname@example.org>
- Jorge Gonzalez <email@example.com>
- Office hours: Thursdays, 2-4, in APM 6331.
- A01: Tu, 2:00-2:50 in APM 5402 (Janine)
- A02: Tu, 3:00-3:50 in APM 5402 (Janine)
- A03: Tu, 4:00-4:50 in APM 5402 (Jorge)
- Course description:
Applied Linear Algebra: Second course in linear algebra from a
computational yet geometric point of view. Elementary Hermitian
matrices, Schur'ss theorem, normal matrices, and quadratic forms.
Moore-Penrose generalized inverse and least square problems. Vector
and matrix norms. Characteristic and singular values. Canonical forms.
Determinants and multilinear algebra. Prerequisites: Math 20F or Math
Linear Algebra and Its Applications.
- Grading breakdown:
- 5 homeworks (2% each)
- 7 quizzes (2% each; lowest 2 will be dropped)
- 2 midterms (20% each)
- final exam (40%)
- Web page: This course has a web page which you should visit
frequently. There are two mirror copies of the page, as well as a short url:
- Dec 14: Exam plus solutions has been posted below.
- Dec 7: Solutions to homework 5 just posted.
- Dec 7: Final Exam Help:
- Janine's extra office hours: Wed Dec 12, 2-3:20pm in Center Hall
222; Janine has prepared a very nice set of problems that she intends
to go over during the tutorial. You are encouraged to attempt them on
your own first: click here.
- Jorge's extra office hours: Th Dec 13, 2-4pm in Calc Lab.
- Instructor's extra office hours: Fr Dec 14, 10-12 in APM 5157
- Nov 30: Quiz 7 (last quiz) has been posted below together with
- Nov 29: Jorge will have extra office hours/ review
session on Thursday Dec 13 from 2-4pm in the Calc Lab
- Nov 28: Janine will have an Exam Review Session
for Math 102 on Wed, Dec 12, from 2-3:20pm in Center Hall 222.
- Nov 28: Practice problems 5.6:1-6,16. Quiz 7, the last quiz will
take place this Friday — it will bo on the material covered in
the lectures on Monday (Nov 26) and Wednesday (Nov 28 - today).
- Nov 26: Homework 4 pdf reposted with solutions.
- Nov 21: Happy Thanksgiving to Everyone! I realize that some of
you are not able to come to class today, as you are traveling;
however, it would be unfair to those who made arrangements to be in
class for the quiz to cancel the quiz this late. Thus, quiz 6 will
take place today as planned — if you are not able to make it,
keep in mind that I will pick your best 5 out of 7 quizzes at the end.
- Nov 20: Light at the end of the tunnel:
the last homework, homework 5 due on Dec 7, has been posted below.
- Nov 19: Practice problems 5.5:1-30 (only the odd ones).
- Nov 17: Quiz 6 is on Wednesday November 21. (It said
Friday below, but that was a typo — the 21st is a Wednesday, and
there are no classes on Friday anyway, as it is the day after
- Nov 16: Midterm 2 with solutions has been posted below.
- Nov 14: We worked on problem 6 in section 5.2 (pg 250) in the
textbook. We did part (a) in class. For part (b) consider two cases:
Case 1: b=c=0; since A^2=I, it follows that (a=+1 & d=-1) or (a=-1 &
d=+1) since A is not I or -I, and so tr(A)=0 and det(A)=-1. Now
consider the second case, Case 2, where b not=0 or c not=0; in either
case a=-d, so tr(A)=0 and det(A)=a(-a)=-a^2=-1.
- Nov 14: Solutions to homework 3 have been now added; click on the
homework 3 file below.
- Nov 14: Janine will have extra office hours before the midterm:
Wednesday 9-11 in APM 6442 and Thursday 4-5 in APM 7421.
- Nov 13: I will have extra office hours before the midterm on
Friday: Wednesday (Nov 14) from 12:00 until 2:00.
- Nov 12: Jorge Gonzalez's office hours this Wednesday (Nov 14) are
moved from 11:35 to 1:35pm, in APM 6402.
- Nov 9: Midterm 2 on Nov 16: chapters 3,4 and the
first 3 sections of chapter 5 (5.1-3).
- Nov 9: Practice problems: 5.2:1-14; 5.3:1-6.
- Nov 9: Quiz 5 with solutions has been posted below.
- Nov 8: Homework 4 (due Nov 26) has been posted below.
- Nov 7: Practice problems 5.1:1-3,5,9,11,12.
- Nov 5: A reminder about handing in homeworks: when you hand in a
homework it must be your own work; it is OK to discuss homework
problems with others (classmates, TAs, instructor); it is also OK to
look things up in the literature, or online. However, if you use
another source, you must cite it in your assignment — no grades
will be deducted for providing a citation. But it is not permitted to
copy someone else's work and hand it in as your own. A good guideline
for discussing homeworks with others is to do the final write-up of
your paper on your own, making sure you understand what you write.
Remember that the homeworks are worth little (only 2%), and so you will
incur more grade loss not doing it (since you will lack the practice
necessary for quiz/midterm/exam performance) than the 2% you will get
by copying someone else's work.
- Nov 3: Quiz 4 with solutions posted below.
- Nov 2: Today we are finishing chapter 4. Practice exercises:
4.3:1-11, and 4.4:1-4,13,14.
- Nov 1: Quiz 4 on Friday, Nov 2. The quiz will cover the material
in chapter 3. You are not responsible for the material related to
Fourier Series — we'll look into it at the end of the course if
there is time.
- Nov 1: Practice problems for 4.2:1-10.
- Oct 30: Practice problems for 3.4:1-16.
- Oct 30: Homework 3 corrected below (both question 1 and 2 had
- Oct 29: Solutions to homework 2 posted below.
- Oct 27: Homework 3, due Nov 14, has been posted below.
- Oct 26: Grades — note that these ranges are
“advisory”; the final course grade will
depend on the numbers:
| Percentage Range || Letter Grade
| 96-100 || A+
| 92-95 || A
| 89-91 || A-
| 84-88 || B+
| 79-83 || B
| 74-78 || B-
| 69-73 || C+
| 64-68 || C
| 59-63 || C-
| 50-58 || D
| 0-49 || F
- Oct 24: Quiz 3 on Friday (Oct 26). The quiz will be on the
material that we covered so far in chapter 3.
- Oct 24: Practice problems 3.3: 1-14.
- Oct 22: Practice problems 3.2: 1-5,7.
- Oct 17: Practice problems 3.1:1-13,17,18.
- Oct 17: On Thursday Jorge will have office hours/review for the
midterm: room APM 6402 from 11:30am to 1:30pm.
- Oct 16: Midterm 1 on Friday will cover chapters 1 and 2, but skip
sections 1.7 and 2.5.
- Oct 15: Solutions to homework 1 posted below.
- Oct 15: Practice problems for 2.3:1-30; and for 2.4:1-18,21-25.;
and for 2.6:1-20.
- Oct 15: Homework 2 has been posted below (due Oct 29). Homework 1
is due during the lecture today. Midterm 1 is coming up on Friday;
we'll talk about it in class today and/or Wednesday.
- Oct 10: Practice problems for 2.2: 1-10.
- Oct 9: Practice problems for 2.1: 1-6,9-11,15,16,22,26.
- Oct 8: Small correction to solution of Quiz 1.
- Oct 8: The instructor office hours have changed to Mondays,
11:30-1:30 (or by appointment), in APM 5157
- Oct 3: Homework 1 has been posted below.
- Oct 3: Quiz 1 will take place on Friday. It will cover sections
1-5 in chapter 1. You should prepare by reviewing the lecture notes,
and doing practice exercises. The first homework will be posted
- Oct 3: The first chapter of the book is mostly review. Try to do
as many problems as you can — if you are familiar with the
material, you can do less; if you are rusty, you should attempt more
of the problems. I will give you a smaller set of "essential" problems
starting with chapter 2.
- Oct 2: Yesterday we covered sections 1.4 and 1.5. We are going to
continue tomorrow, and be done with chapter 1 by the end of the week.
Please continue working on the relevant problems in the textbook.
Reminder that the first quiz is on Friday.
- Oct 1: A reserve request for our textbook has been submitted to
- Sep 28: Today in class we covered the introductory sections 1.1,
1.2 and 1.3. You should do the corresponding Problem Sets in the book:
1.2 starting on page 9, and 1.3 starting on page 15. You should do as
many of them as possible — it is a good review of the
prerequisites of this course. The quizzes and the homeworks will be
based on the problem sets in the textbook.
- Note that the lectures are in PCYNH 122!
- First lecture on Friday, September 28.
Quizzes, homework, midterms :
| Quiz 1 || Friday, October 5
|| The first quiz with solutions; corrected Oct 8
| Quiz 2 || Friday, October 12
| Homework 1 || Monday, October 15
|| Hand it in during the lecture on October 15; re-posted with
solutions on Oct 15; note that we will grade only questions 1,4,5
— we will not grade 2 & 3
| Midterm 1 || Friday, October 19
|| Solution to problem 2 corrected; the first entry of the first
vector of N(A) was wrong
| Quiz 3 || Friday, October 26
| Homework 2 || Monday, October 29
|| Solutions added on Oct 29
| Quiz 4 || Friday, November 2
| Quiz 5 || Friday, November 9
| Homework 3 || Wednesday, November 14
|| Corrections in questions 1 & 2: one of the matrix entries
in 1, and added absolute values in 2
— thanks Janine for pointing it out
| Midterm 2 || Friday, November 16
| Quiz 6 || Wednesday, November 21
| Homework 4 || Monday, November 26
| Quiz 7 || Friday, November 30
|| As the lecture run a bit longer than expected, I only asked
that the first part of the proof be given: that any matrix has
at least one unit eigenvector; this is the crucial observation.
| Homework 5 || Friday, December 7
|| Solutions added on Dec 7
| Final Exam || Friday, December 14
|| The exam will take place in PCYNH 122, the usual lecture room,