Math 309,
Matrix Algebra Announcements, Weekly Reading and Homework
NOTE THAT THIS IS AN OLD SYLLABUS: FALL 2014
Course Announcements
FINAL EXAM: NOTE MORNING TIME
Dec 11 2014 TH 8:00 AM  10:00 AM in LAB SCIENCES 300
List of terms you should know for the final
A comment about Tribble related questions on the Final Exam
Final
exam will be over the material we covered in Chapters 46
(including anything from class not in text, from handouts related
to material and posted online, etc). Of course, you will need
some of the techniques and definitions from Chapters 13 to be able
answer questions about Chapters 46, but material from Chapters 13
will not be "targeted" for its own sake on the final exam.
Remember
that the final exam can replace the lower of your Exam 1 and Exam 2
grades (all comparisons of scores are done in %'s). Each time I teach
the course this does help a few students recover from a weak
performance on an earlier exam. However, it's also my experience
that (on average) final exam scores tend to go down a bit  simply
because the material is harder toward the end and because students are
taking a lot of exams in quick succession, without as much exam
preparation time for each as they might otherwise give.
Most of
the exam exam questions will be machinegraded since the College asks
instructors to produce final grades very quickly. Everything else
will be like the other exams: only pencil/pens and eraser allowed.
No notes, no 3x5 cards, etc.
_________________________________________________________________________________________
Always include enough detail in every homework solution so the reader can understand how you got your answer.
The
problems assigned for writtren HW each week may be modified up until 5
p.m. Tuesday in the week that they are due. Please (re)check the
assigned problems each week after that time.

Weekly Reading & Events

WebWorK Assignments  Written Homework

Recommended (not to hand in)

Supplements & Solutions

Week of 8/25: Lectures 13
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. 1.11.3, and 1.6;  WebWorK WW 1 opens at 12:01 a.m. on Wednesday, 8/27 and answers due online by 11:59 p.m. on Tuesday, 9/2. See WebWork for more details
Contact me right
away if your name does not appear in WebWorK; include your name, WU ID
number, and email address and I will add you into WebWorK's list.
 You
should get started on the handin HW 1 problems soon. They are list
below, in the week of Sept. 1, because they aren't due until Friday,
September 5.
See Homework for guidelines about written solutions
 At the end of each section, try the Practice Problems before starting the homework: for example, on p. 9 for Sec. 1.1
Almost every section in the text contains some "true/false" questions. T/F questions are an excellent way to check your understanding.For example, 2324 in Sec. 1.1
Sec 1.1: 5, 7, 11, 19, 23, 24, 25, 31
Sec 1.2: 7, 13, 15, 19, 21, 22, 25, 31
 PDFs for Lecture 1
PDFs for Lecture 2
PDFs for Lecture 3
Online
tools that you might like to use to help with row reducing matrices.
None are necessary. Some of them are also useful for more
advanced topics later. But be sure you can do row reductions by hand for small matricese.g., for exams.
Row Reducer
Row Echelon Form
Simple Matrix Calculator
Wolfram Alpha
For those who use Matlab
  WebWorK  Written Homework Hand
In  Recommended (not to hand in) 
 Week of 9/1: Lectures 45 Monday, September 1: Labor Day: no class
Read Sec. 1.41.5  WebWork Assignment WW1 due online by 11:59 p.m. Tuesday, 9/2.
WW2 opens 12:01 a.m. Wed. 9/3
 HW1 due in class Friday, Sept. 5
Always include enough detail in every homework solution so the reader can understand how you got your answer.
Sec. 1.1: 16, 22, 26, 33, 34
Sec. 1.2: 4,12,16, 26, 28, 30 (refer back to 29 for teminology)
Sec. 1.3: 10, 11, 14, 20, 22
Sec 1.6: 6,12
Solutions for HW1
 Sec 1.3: 7, 23, 24, 25,32
Sec 1.4.: 13, 17, 23, 24
Sec 1.5: 23, 24, 29, 31, 36
 PDFs for Lecture 4
PDFs for Lecture 5
An additional "economic" example like Ex 1, Section 1.6
  WebWorK  Hand
In  Recommended (not to hand in) 
 Week of 9/8 Lectures 68
Read anything you skipped in Sec 1.6
Read Sec 1.71.8  WebWork Assignment WW2 due online by 11:59 p.m. Tuesday, 9/9.
WW3 opens 12:01 a.m. Wed. 9/10  HW 2 due in class Friday, Sept.12
Sec. 1,4: 8,10,18, 22, 30, 36
Sec. 1.5: 10,16, 20, 30, 34, 40
Sec. 1.7: 8
More problems for thie HW may be added up until 5 p.m. on Tuesday, 9/9
Solutions for HW2  Sec. 1.7: 1,5,12, 21, 22, 29, 30, 3335, 37  An additional "economics" example similar to Ex 1, Section 1.6
PDFs for Lecture 6
PDFs for Lecture 7
PDFs for Lecture 8

 WebWorK  Hand
In  Recommended (not to hand in) 
 Week of 9/15 Lectures 911
Read Sec 1.8  1.10 (in 1.10 it's ok to skip the example on electirical networks. But those interested in physics and engineering should certainly read it.  WebWork Assignment WW3 due online by 11:59 p.m. Tuesday, 9/16
WW4 opens 12:01 a.m. Wed. 9/17  HW 3 due in class Friday, Sept. 19
Sec. 1.7: 18, 24, 26, 32, 36, 38 (more computational practice with Sec. 1.7 was in WW 3)
Sec. 1.8: 14,18,32
Sec 1.9: 4,6,8,14,16
Solutions for HW3  Sec.1.8: 13,15,19,21, 22,33
Sec.1.9: 13,23,34  PDFs for Lecture 9
Lecture 10, Rotation Cartoonis the matrix correct?
Lecture 10: A Linear Difference Equation
PDFs for Lecture 10 (onto and 11 transformations)
PDFs for Lecture 11   WebWorK  Hand
In  Recommended (not to hand in)   Week of 9/22 Lectures 1214
Read Sections 2.12.3  WebWork Assignment WW4 due online by 11:59 p.m. Tuesday, 9/23
WW5 opens 12:01 a.m. Wed. 9/24
 HW 4 due in class Friday, Sept. 26
Always include enough detail in every homework solution so the reader can understand how you got your answer.
Supplementary Exercises on p. 90: 22
Sec. 2.1: 6, 10, 20, 24, 26,34
Sec 2.2: 2, 8, 14, 16, 18, 23,38 (Answer these questions based on the material covered in 2.12.2; don't refer ahead to the Invertible Matrix Theorem in Sec. 2.3
Solutions for HW4
 Sec. 2.1: 15, 18
Sec 2.2: 7, 9,10,13
 PDFs for Lecture 12
PDFs for Lecture 13
EROs and Multiplication by Elementary Matrices
PDFs for Lecture 14
Invertible Matrix Theorem
  WebWorK  Hand
In  Recommended (not to hand in)   Week of 9/29 Lectures 1517
Read
Sections 2.4, 2.5 (you can skip, if youl like, the last part
about factorizations in electircal engineeringbut engineers might
enjoy that), 2.6  WW 5 is due Tuesday, 9/30, by 11:59 p.m.
There will be no WW6 due next Tuesday because of the exam next Monday (Oct 6)  HW 5 due in class on Friday, Oct, 3
Sec 2.3: 11, 12, 20, 22, 27, 33
Sec 2,4: 4, 8 10 (in 8, assume matrices A and X are square!),
(in 10, find P,Q,R means "in terms of A,B,D")
Solutions for HW5  Sec. 2.3: 8,16, 26, 24,39
Sec, 2.4: 5,7  PDFs for Lecture 15
Notes on LU Decomposition (handed out in class, plus a couple of more pages here for those who are interested)
PDFs for Lecture 16
Notes on Leontief Open Economy Production Model
First two pages of Leontief's Scientific American Article on "ImputOutput" Analysis
PDFs for Lecture 17
  WebWorK  Hand
In  Recommended (not to hand in) 
 Week of 10/6 Lectures 1820
EXAM 1 MONDAY EVENING, 10/6 79 p.m. ROOM = LAB SCIENCES 300 Probably 2,12 from Sec. 2.5, HW6 are worth doing just to prepare the very basics of LU decomposition
Some terms to know for Exam 1
Old Exam for practice
Solutions for Old Exam
Solutions for Exam 1
Read Sections 3.13.3 (in 3.3, it's sufficient to read the part "Determinants as Area or Volume", pp. 180184)
 WW6 will open Wednesday, 10/8 at 12:01 a.m. and be due the following Tuesday, 10/14, by 11:59 p.m.  HW 6 due in class on Friday, Oct, 10 (a bit shorter than usual)
Sec. 2.5: 2,12, 24, 26
Sec. 3.1: 12, 18
Sec. 3.2: 10, 26
Solutions for HW6 
Sec. 2.5: 3,7, 17, 21 (the comments about in #17 abow how MATLAB works are irrelevant to solving the problem)
Sec. 3.1: 39, 40
 PDFs for Lecture 18
PDFs for Lecture 19
PDFs for Lecture 20  x  WebWorK  Hand
In  Recommended (not to hand in)   Week of 10/13 Lectures 2122
Read Sections 4.14.2
FRIDAY, OCT 17 Fall Break No Class!  WW6 due Tuesday, 10/14, by 11:59 p.m.
A Linearity Property of Determinants  HW 7 due in class Friday, October 24 (because of fall break!)
The
problems in HW 7 will cover material for most of two weeks, so HW 7, in
total, is longer. Don't put it all of until near the due date!
Sec. 3.2: 34, 35, 36
Sec. 3.3: 22, 23, 27, 32
Sec 4.1: 8, 12, 17, 28
Sec. 4.2: 6, 10, 14, 22, 24, 27, 28, 32, 34
 Recommended (not to hand in)
Sec 3.2: 27, 28
Sec. 3.3: 30 (note: the formula should include the absolute value bars around the determinant.)
Sec. 4.1: 23, 24, 32
Sec. 4.2: 18, 20  PDFs for Lecture 21
PDFs for Lecture 22
  WebWorK  Hand
In  Recommended (not to hand in)   Week of 10/20 Lectures 2325
This might be a good time to remind you of the resources for study from the author (see reviews sheets and practice exams link) as well as the general advice at How to Study Linear Algebra
Read Sections 4.3  4.4
 WW7 will open (one day early) at 12:01 a.m. on Tuesday, 10/21. Answers are due online by 11:59 p.m. on Tuesday, 10/28.
 NOTE: some of the problems below were already posted last week, but not yet collected. There may be additional problems too until 5pm Tuesday.
HW 7 due in class Friday, October 24
The
problems in HW 7 will cover material for most of two weeks, so HW 7, in
total, is longer. Don't put it all of until near the due date!
Sec. 3.2: 34, 35. 36
Sec. 3.3: 22, 23, 27, 32
Sec 4.1: 8, 12, 17, 28
Sec. 4.2: 6, 10, 14, 22, 24, 27, 28, 32, 34
Sec 4.3: 20, 32
Solutions for HW7  Sec. 4.3: 3, 7, 19, 21, 22, 31
 PDFs for Lecture 23
PDFs for Lecture 24
PDFs for Lecture 25
Notes: Rotating Coordinate Axes   WebWorK  Hand
In  Recommended (not to hand in)   Week of 10/27 Lectures 2628
Read notes on Introduction to Diagonalization (distributed Monday in class)
Read Sections 4.54.6  WW 7 answers due online by 11:59 p.m. on Tuesday, 10/28.  HW 8 due in class, Friday, October 31.
Section 4.3: 30, 34
Sec. 4.4: 4, 6, 8,12, 22, 28, 32
In addition to the textbook problems below, do the problems about rotation of axes on this sheet.
AND
the problems about diagonalization on this sheet.
Solutions for HW8
 Sec. 4.4: 15,16,17,19  Introduction to Diagonalization
PDFs for Lecture 26
PDFs for Lecture 27
Extra Example on Diagonalization
PDFs for Lecture 28   WebWorK  Hand
In  Recommended (not to hand in)   Week of 11/3 Lectures 2931
Read Sec. 5.15.3
EXAM 2 WEDNESDAY 7 P.M.
Some terms to know for Exam 2
Old Exam for practice
Solutions for Old Exam
Exam 2 Solutions  No WW due this week because of Exam 2
WW8 opened Thursday, 11/6 at 4:55 pm. Answers due online by Tuesday, 11/11 at 11:59 p.m.  No HW collected this week.
HW 9 will be due in class on Friday, 11/14.
Sec. 4.5: 6,14
Sec. 4.6: 20, 24, 26
Sec: 5.1: 16, 24, 27, 32, 35
Sec 5.2: 10, 16, 18
.  Sec. 4.5: 9, 19, 20 , 29, 30
Sec. 4.6: 3, 9, 17, 18
Sec 5.1: 21, 22, 25
Sec 5.2: 21, 22
Sec. 5.3: 21, 22  NO PDFs for Lecture 29
PDFs for Lecture 30
Another Diagonalization Example
PDFs for Lecture 31
Supplementary Proofs about Diagonalization   WebWorK  Hand
In  Recommended (not to hand in)   Week of 11/10 Lectures 3234
Red Sec 5.4; you can skip 5.5 unless you want to read it;
In Sec. 5.6. You can skip the material on "Change of Variables" and "Complex Eigenvalues" on pp. 306307 but resume reading at bottom of p. 307 (Spotted Owls) to the end of Sec. 5.6,
 WW8 answers due online by Tuesday, 11/11 at 11:59 p.m
WW9 opens at 12:01 a.m. on Wednesday 11/12  HW 9 will be due in class on Friday, 11/14.
Sec. 4.5: 6,14
Sec. 4.6: 20, 24, 26
Sec: 5.1: 16, 24, 27, 32, 35
Sec 5.2: 10, 16, 18
Sec 5.3: 6, 16, 18, 24, 26
Solutions for HW9  Sec. 4.5: 9, 19, 20 , 29, 30
Sec. 4.6: 3, 9, 17, 18
Sec 5.1: 21, 22, 25
Sec 5.2: 21, 22
Sec. 5.3: 21, 22  PDFs for Lecture 32
PDFs for Lecture 33
More Spotted Owl Information
Owls and Rats
PDFs for Lecture 34   WebWorK  Hand
In  Recommended (not to hand in)   Week of 11/17 Lectures 3537
Read Secs. 6.16.3, start 6.4  WW9 answers due online by Tuesday, 11/18, at 11:59 p.m.
WW10 opens at 12:01 a.m. on Wednesday, 11/19.
Because of Thanksgiving Break next week, WW10 answers won't be due until
THURSDAY, 12/4 at 11:59 p.m. This is just before the last day of
class. WW10 is a little longer and contains some material that might
not be covered before Thanksgiving Break. I might add a few more
problems to WW10 after it opens, but I will notify the class by
email if I do that.  HW 10 will be due in class on Friday, 11/21.
Sec 5.4: 4, 8, 10, 16, 18, 20
Sec. 6.1: 24, 26, 31
Sec 6.2: 8,10,14,16, 28
Solutions for HW10  Sec 5.4: 13, 23
Sec. 6.1: 19, 20
Sec 6.2: 23, 24, 27
 PDFs for Lecture 35
PDFs for Lecture 36
About 2 x 2 Orthogonal Matrices
PDFs for Lecture 37
Notes on the GramSchmidt Process
  WebWorK  Hand
In  Recommended (not to hand in)   Week of 11/24 Lectures 38
Finish Reading Section 6.4
Read Sec. 6.5, up to Theorem 14,
You
can skip the short subsection at the end of 6.4 about the QR
Factorization if you like. There are some optional notes posted
in the right column here.
Thanksgiving Break 11/2630 No Class Wednesday, Friday  WW 10 opened on Wednesday, 11/19. Answers will not be due until 11:59 p.m. on THURSDAY, 12/4.  HW 11 problems are listed below in the row for nwext week. They are due on Friday, December 5 (last day of class)   The QR Factorization (optional notes)
PDFs for Lecture 38   WebWorK  Hand
In  Recommended (not to hand in)   Week of 12/1 Lectures 3941
We covered Sec. 6.5, up to Theorem 14 last Monday. We will quickly review that but be prepared to move on quickly from there.
Read the material in 6.6 on application of least squares to linear models  WW 10 (the last) opened early on Wednesday, 11/19. Answers are due online by 11:59 p.m. on THURSDAY, 12/4.  HW 11: Due in class on Friday, 12/5 (last day of class)
Sec 6.3: 6,14
Sec. 6.4: 6,12, 20
Sec, 6.5: 4,12,14, 24, 25
Sec. 6.6: 4, 7, 8, 10 (in each of 7,8,10, do part a) only)
Solutions for HW11
 Sec. 6.3: 19
Sec. 6.4: 17
Sec. 6.5: 17
Sec. 6.6: 3,5  PDFs for Lecture 39
PDFs for Lecture 40
PDFs for Lecture 41
Notes on Inner Product Spaces
Extra Reading (posted after the course ended): orthogonal diagonalization and the spectral theorem

