UCSD MATH 102
Applied Linear Algebra — Fall 2012
#ucsdmath102

• Instructor: Michael Soltys
  • email: msoltysk@ucsd.edu
  • homepage: http://soltys.cs.csuci.edu/blog/wp-content/oldpage
• 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)
• TA:
  • Janine LoBue <jlobue@math.ucsd.edu>
    • Office hours: Mondays and Wednesdays, 10-11; Thursdays, 3-5, in APM 6442.
    • Changes in October
    • Changes in November
  • Jorge Gonzalez <jlg005@math.ucsd.edu>
    • Office hours: Thursdays, 2-4, in APM 6331.
• Tutorials:
  • 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 31AH.
  (From http://www.ucsd.edu/catalog/courses/MATH.html#math102)
• Textbook:

  Gilbert Strang Linear Algebra and Its Applications. 4th edition 2006 Thomson web page

• 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:
  • http://www.math.ucsd.edu/~msoltysk/math102-f12
  • http://soltys.cs.csuci.edu/blog/wp-content/oldpage/math102-f12
  • http://goo.gl/Z2Ezv
  • Experimentally, I will use twitter hashtag: #ucsdmath102 to make course related announcements.

Announcements:

• 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 (usual office).
• Nov 30: Quiz 7 (last quiz) has been posted below together with solutions.
• 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 Thanksgiving.)
• 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 typos).
• 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 shortly.
• 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 the library.
• 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 :

Item	Due Date	PDF file	Comments
Quiz 1	Friday, October 5	quiz1.pdf	The first quiz with solutions; corrected Oct 8
Quiz 2	Friday, October 12	quiz2.pdf
Homework 1	Monday, October 15	homework1.pdf	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	midterm1.pdf	Solution to problem 2 corrected; the first entry of the first vector of N(A) was wrong
Quiz 3	Friday, October 26	quiz3.pdf
Homework 2	Monday, October 29	homework2.pdf	Solutions added on Oct 29
Quiz 4	Friday, November 2	quiz4.pdf
Quiz 5	Friday, November 9	quiz5.pdf
Homework 3	Wednesday, November 14	homework3.pdf	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	midterm2.pdf
Quiz 6	Wednesday, November 21	quiz6.pdf
Homework 4	Monday, November 26	homework4.pdf
Quiz 7	Friday, November 30	quiz7.pdf	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	homework5.pdf	Solutions added on Dec 7
Final Exam	Friday, December 14	exam.pdf	The exam will take place in PCYNH 122, the usual lecture room, 3-6pm.