Weekly Reading & Events	Monday 12/12  3-5 Tuesday 12/13 3-5 Wednesday 12/14 2-3:45 Thursday 12/15 2:30-4 Friday 2:30-4 I'm not sure, yet, about Monday, 12/19 WebWorK Assignments	Homework Hand In	Other Recommended Problems (not to hand in)	Supplements & Solutions
Week of  August 28 Be sure to read How to Study Linear Algebra at this link OR in your Study Guide. Read Note to Students (preceding Chapter 1) in text Read the Introductory Example (about Leontief) at the start of Chapter 1. Read Sec 1.1-1.2 and 1.6; start on 1.3 (this will put you just a bit ahead of the lectures)	WebWorK WW 1 is now open; see information listed under Homework	There are hand-in HW problems you can start on now.   See the list, below, for HW 1.  Note HW 1 due in class Friday next week: September 9.	In every section, read the Practice Problems before starting the homework:  for example, on p. 9 for Sec. 1.1 Notice that nearly every Section contains some "true/false" questions which are an excellent way to check your understanding. For example, 23-24 in Sec. 1.1 Sec 1.1: 5, 7, 19, 23, 24, 25, 31	PDF for Lecture1 (this version contains only examples, etc. not in test, has "normal" font size to save paper in printing, etc.) PDF for Lecture 2
	WebWorK	Solve using the reduced matrix Hand In	Problems (not to hand in)
Week of September 4   Monday: September 5: Labor Day: no class HW 2: Due in class Friday, September 12 Sec. 1.4 Read Sec. 1.5 Read Sec. 1.6 Start reading Sec 1.7 (this will put you just a bit ahead of the lectures)	First WebWork Assignment WW1 due online by 11:59 p.m. Tuesday, September 6. WW2 opens 12:01 a.m. Wednesday, September 7	HW1 due in class Friday, September 9. Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec 1.1: 24, 26, 33, 34 Sec 1.2: 4,14,16, 30 (refer back to 29 for teminology) Sec 1.6:  8 Solutions for HW1	Sec 1.2: 7, 13, 19, 21, 22, 25, 31	Example: Closed Exchange Economy (for Wednesday lecture) PDF for Lecture 3 PDF for Lecture 4 _______________________ Some online tools that might be helpful for "small matrix" HW type problems (find others via Google, or pick the one you like): Row Reducer Row Echelon Form Online Row Reducer Be sure you can do row reductions by hand for small matrices--e.g., for exams.
	WebWorK	Hand In	Problems (not to hand in)
Here are some additional problems (not to hand in)  to help you study the rest of the material covered later next week. Sec. 6.6:  1, 7 (part a), 8 (part a), 9, 10 (part a)Week of September 11 Read Sec. 1.5 Read Sec. 1.6 Read Sec. 1.7 Read Sec. 1.8 Wednesday, 9/14 is the last day to DROP a course.	WebWorK WW2 due online at 11:59 p.m. Tuesday, September 13. WW3 opens 12:01 a.m. Wednesday, September 14.	HW2 due in class Friday, September 16 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec 1.3: 12, 14, 16, 26   Sec 1.4: 6,16,18, 20, 22,30,34 Sec 1.5:  12, 18, 28, 30 Sec 1.7:  24, 28 Solutions for HW2	Sec 1.3:  7, 23, 24, 25, 32 Sec 1.4:  13, 17, 23, 24 Sec 1.5:  23, 24, 29, 31. 36 Sec 1.7: 18, 20 21,22	PDF for Lecture 5 PDF for Lecture 6 Extra Example: Solution Sets of Linear Systems, Sec. 1.5: was in PDF for Lecture 6 PDF for Lecture 7
	WebWorK	Hand In	Problems (not to hand in)
Week of September 18 Read Sec. 1.8 Read Sec. 1.9 Read exmples on Diet and Difference Equations in Sec. 1.10 Engineers might like to also read the example on electrical networks.) Read Section 2.1	WebWorK WW3 due online at 11:59 p.m. Tuesday, September 20. WW4 opens 12:01 a.m. Wednesday, September 21.	HW3 due in class Friday, September 23 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec 1.7:  32 Sec 1.8:  16, 18, 30 Sec 1.9:  4, 10, 12, 16, 20, 26, 27 Solutions for HW3	Sec 1.7: 29, 30,33-38 (t/f) Sec 1.8: 13, 15, 21, 22, 32 Sec 1.9: 13, 23, 34	PDF for Lecture 8 PDF for Lecture 9 PDF for Lecture 10 Linear Difference Equation Example, Lecture 10 Applet illustrating linear transformations of the plane R^2
	WebWorK	Hand In	Problems (not to hand in)
Week of September 25 Read Sec. 2.1 Read Sec. 2.2 Read Sec. 2.3	WebWorK WW4 due online at 11:59 p.m. Tuesday, September 27. WW5 opens 12:01 a.m. Wednesday, September 28.	HW4 due in class Friday, September 30 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec 1.10: 10 Sec. 2.1: 6, 8, 12, 22, 24, 28 Sec 2.2: 12, 16, 20 Solutions for HW4	Sec. 2.1: 13, 15, 16, 17, 20, 27 Sec 2.2:  9, 10, 13	PDF for Lecture 11 PDF for Lecture 12 How Elementary Matrices Relate to Row Reduction (Lecture 12) PDF for Lecture 13
	WebWorK	Hand In	Problems (not to hand in)
Week of October 3 Read Sec 2.4 (only up to Theorem 10, p. 119) Read handout/pdf notes about LU decompositions (available in right column by Monday, October 3).   Read Section 2.4, pp. 123-137 (similar to the pdf notes) Engineers might like to read the last example in Section 2.5. Read Section 2.6: I want you to be familiar with this, but I will not discuss iit in class.  I will give you a written supplement. Material in 2.8, 2.9 is intended by author  to be skipped in a course that's going to do Chapter 4 (as we are). Read Section 3.1-3.2	WebWorK WW5 due online at 11:59 p.m. Tuesday, October  4. WW6 opens 12:01 a.m. Wednesday, October 5. but will not be due until Tuesday, October 18 at 11:59 pm. Then WW7, as usual, will open at 12:01 am on Wednesday, October 19	HW5 due in class Friday, October 7 Always include enough detail in every homework solution so the reader canSolve using the reduced matrix  understand how you got your answer. Sec. 2.2: 22, 24, 32, 38  (For problems in 2.2, try to answer using only material from 2.2 or earlier. Don't say, "by the Invertible Matrix Theorem" which isn't stated until Sec. 2.3) Sec. 2.3: 6, 8, 14, 18, 22, 28, 36 Section: 2.4: 2, 6 Section 2.5: 4 Solutions for HW5	Sec 2.2:  21, 23 Sec. 2.3: 11, 12	PDF for Lecture 14 Notes on LU Decomposition (distributed in class) Practice Exams from the Textbook Author: may or may not be like ourexam, but good questions for practice. PDF for Lecture 15 PDF for Lecture 16
	WebWorK	Hand In	Problems (not to hand in)
Week of October 10 Inb Sec. 3.3, skip Cranmer's Rule and formula for inverse in therms of adjugate. But read "Determinants as Areas or Volumes" Exam 1, in class Wednesday October 12 Information about Exam 1	No WebWorK due this week: but WW 6 is open, and is due on Tuesday, October 18 at 11:59 pm. There are a couple of LU  decomposition problems in WW6 that you may want to practice before the exam	No regular HW due in class this week. But part of HW 6 is Sec  2.5:  24 Sec  2.6:  6 Sec. 3.1:  14, 16 For HW 6 (due on Friday, October 21): this list will grow longer than usual since HW 6 spans a larger set of lectures. So don't put it all off.		PDF for Lecture 17 Solutions for Exam 1 Distribution of Scores on Exam 1 Solutions for Exam 1 will be posted here late afternoon Monday October 17.
	WebWorK	Hand In	Problems (not to hand in)
Week of October 17 Finish the reading assigned in Section 3.3. Read Sections 4.1, 4.2 Exam 1 was available for pickup in class Wednesday; I will bring them again Friday.  After that, they will need to be picked up at my office,	WebWorK WW6 due online at 11:59 p.m. Tuesday, Oct.18. WW7 opens at 12:01 am on Wednesday, October 19. WW7 contains a few review problems, and is a bit shorter than usual. Note: WW7 uses the notation R^(nxn) for the vector space of n x n matrices	HW 6 due in class on Friday, October 21 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec  2.5:  24 Sec  2.6:  6 Sec. 3.1:  14, 16 Sec. 3.2:  8, 24, 30, 34, 35 Sec, 3.3:  22, 24, 28, 30 Solutions for HW6	Sec. 3.1: 39, 40 Sec, 3.2: 16, 18, 20, 27, 36 Sec 3.3:  27,29	PDF for Lecture 18 PDF for Lecture 19 Supplementary Examples of Vector Spaces and Subspaces PDF for Lecture 20
	WebWorK	Hand In	Problems (not to hand in)
Week of October 24 Read Sec 4.3, 4.4,	WebWorK WW7 due online at 11:59 p.m. Tuesday, October 25 Note: WW7 uses the notation R^(nxn)  for the vector space of n x n matrices WW8 opens at 12:01 am on Wednesday, October  26.	HW 7 due in class on  Friday, October 28 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec. 4.1: 8, 18, 22, 28, 32 Sec. 4.2: 12, 14, 24, 28, 32, 33 Sec 4.3: 4, 10, 12, 24 Solutions for HW7	Sec 4.1:  2, 3, 23, 24 Sec. 4.2: 17, 20, 25, 26 Sec. 4.3:  21, 22, 23	PDF for Lecture 21 PDF for Lecture 22 PDF for Lecture 23 Supplementary examples on rotation of axes (from Friday's lecture)
	WebWorK	Hand In	Problems (not to hand in)
Week of October 24 Be sure you've read through Section 4.4 and the example on rotation of axes (last Friday's lecture) Read the notes on Introduction to Diagonalization and the Extra Example distributed in class. You will need this material for the last part of HW 8. The material is related to Sections 5.1 - 5.3 in the text. If you like, you can read ahead in Section 5.1 Read Sections 4.5 and 4.6 Exam 2 next week (see below) Information about Exam 2	WebWorK WW8 due online at 11:59 p.m. Tuesday, November 1. Because of Exam 2 next week, no WebWorK due next week     WW9 will open at 12:01 am Wednesday, November 2, but will not be due until 11:59 pm Tuesday, November 15.	HW 8 due in class on  Friday, November 4 Always include enough detail in every homework solution so the reader can understand how you got your answer Sec. 4.4:  8, 12, 14, 22, 32 Do this supplementary problem on rotation of axes Do these supplementary problems on disgonalization HW8 Solutions	Sec. 4.4: 1, 5,10, 15, 16	PDF for Lecture 24 Notes: Introduction to Diagonalization (Monday's lecture) Extra Example on Diagonaliazation PDF for Lecture 25 PDF for Lecture 26 Example: A Markov Process and its Relation to Diagonalization
	WebWorK	Hand In	Problems (not to hand in)
Week of November 7 Skip Section 4.7-4.8 Read Section 4.9 (and the example from class (last week) about Markov Processes. Read Sec 5.1-5.3 Exam 2, in class Wednesday, November 9 For Friday: please also read this note Where are we in relation to the textbook?	Because of Exam 2 on Wednesday, no WebWorK due this week. WW9 will be due on Tuesday, Nov. 15	No regular HW due in class this week. HW9 will be due in class on Friday, Nov. 18.  But parts of HW 9 will be posted here this week so you can get started. HW 9: Sec. 4.5:  6, 8, 14, 22, 31 Sec. 4.9:  4, 8, 14	Sec. 4.5: 19, 20, 29, 30	PDF for Lecture 27 Example: Eigenvalues, Eigenvectors and Eigenspaces (Friday Lecture) Exam 2 Solutions Score distributions for Exams 1 and 2
	WebWorK	Hand In	Problems (not to hand in)
Week of  November 14 Read Section 5.4 and be sure you've read the introductory example for Chapter 5 on spotted owl populations: I will idscuss on Friday. Start reading Section 6.1 Friday, November 18: last day to withdraw from course without recommendation from Student Health Services	WebWorK WW9 due online at 11:59 p.m. on Tuesday, Nov. 15 WebWorK WW10 opens at 12:01 a.m. on Wednesday, November 16.   It is due online at 11:59 p.m.on Tuesday, November 29 (the Tuesday after Thanksgiving break).  Because of the break.  WW10 is somewhat shorter (9 problems), and you should know everything you need for WW9 after Wednesday's lecture. You should be able to finish the assignment befor Thanksgiving break if you want to.	HW 9:  due in class on Friday, Nov. 18. Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec. 4.5:  6, 8, 14, 22, 31 Sec. 4.9:  4, 8, 14 Sec 5.1: 14, 27, 35 Sec. 5.2: 16, 18 Sec. 5.3:  6, 14, 16, 24 Solutions for HW9	Sec. 5.1:  21, 22 Sec. 5.2: 21, 22 Sec 5.3:  21, 22	PDF for Lecture 29 (this contains a fuller outline of Monday's lecture than is usually posted here) Supplement: Proofs for the theorems about diagonalization PDF for LectuSolutions for HW9re 30 Extra Example related to  Wednesday's Lecture: B-matrix for a linear transformation PDF for Lecture 31 Examples: Spotted Owls and Wood Rats
	WebWorK	Hand In	Problems (not to hand in)
Week of November 21 If you haven't already done so, be sure to read the material about Spotted Owls on pp. 265-266. Read part of Section 5.6: pp. 301-303,  and the Spotted Owl material pp. 307-309 The other material in the Section is nice but optional. Read Section 6.1 November 23-27 Thanksgiving Break so no class Wednesday or Friday	WW10 due at 11:59 p.m. on Tuesday, November 29. No WebWorK due this week, but the due date is just two days after Thanksgiving Break -- so try to finish before Break!	No written HW due this week.  HW 10 will be due in class on Friday, December 2. Some of the HW 10 problems are posted here in case you want to work on them For HW 10: Sec 5.4:  4, 8, 14, 17, 22, 23 Sec. 5.6: 2 (find a "solution" means find a expression for xk in terms of the eigenvectors), 4, 5 Assignment will be complete before 5 pm Tuesday.	Sec 5.4: 10, 20 Sec.5.6:  1, 6	PDF for Lecture 32
	WebWorK	Hand In	Problems (not to hand in)
Week of November 28 Read Sections 6.1-6.4	WW10 due at 11:59 p.m. on Tuesday, November 29. WW11 will open at 12:01 am on Wednesday, November 30 and be due at 11:59 pm on Tuesday, December 6. WW11 is the last WebWorK assignment for the semester.	HW 10: due in class on Friday, December 2. Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec 5.4:  4, 8, 14, 17, 22, 23 Sec. 5.6: 2 (find a "solution" means find a expression for xk in terms of the eigenvectors), 4,  5 Sec 6.1: 24,26 Sec. 6.2:  14,16, 28, 32, 34 The problem list for HW 10 is now complete. Solutions for HW10	Sec 5.4: 10, 20 Sec.5.6:  1, 6 Sec. 6.1: 19, 20, 28 Sec. 6.2:  15, 26, 29	PDF for Lecture 33 Example: Orthogonal Bases and Projections PDF for Lecture 34 Example: Using the Orthogonal Decomposition Theorem and Best Approximation Theorem Example: 2x2 Orthogonal Matrices PDF for Lecture 35 Notes and Example: the Gram Schmidt Process
	WebWorK	Hand In	Problems (not to hand in)
Week of December 5 Finish reading Section 6.4   (You can skip the material on QR Factorization: it's a nice topic and very good reading to see how well you understand Gram-Schmidt Process --but we won't have time to make any use of these QR factorizations.) Read Sections 6.5 and 6.6 Friday, December 9:  last day of class	WW11 is due  at 11:59 pm on Tuesday, December 6. This is the last WebWorK assignment for the course.	HW 11: due in class on Friday, December 9 Always include enough detail in every homework solution so the reader can understand how you got your answer. Sec. 6.3:  10, 18, 24, and an extra problem not in textbook  (download from this link)   Sec. 6.4:  6, 19, 20 (note: although the letters Q, R are involved, you don't need to know anything about  the "QR factorization" Sec. 6.5:  4, 6, 12 (note: orthogonal columns!), 14, 24, 25 Solutions for HW 11	Sec. 6.4: 17, 18 Sec. 6.5:  17	PDF for Lecture 36 Example: least squares solutions for Ax = b PDF for Lecture 37 Example:  least squares and simple linear regression PDF for Lecture 38 Inner Product Spaces
Week of December 12 Reading Period and Start of Final Exam Period	I created a set of 5 WebWorK problems related to least squares (Section 6.6): the set is called "LSPractice" These problems are only for your practice: the "points" will not be part of your WW score for the course.	Here are some additional problems (not to hand in)  to help you study the rest of the material covered later next week. Sec. 6.6:  1, 7 (part a), 8 (part a), 9, 10 (part a)
FINAL EXAM Tuesday, December 20, 2011, 10:30-12:30 in the regular classroom:  Brown 118 Final Exam is 2 hours. Same rules and style as earlier exams.  The final exam will be based on the material starting with Chapter 4 (and earlier material only as needed for the later material)