22M:033 (MATH:2550) Engineering Math III: Matrix Algebra  
Fall 2014
Section 0001:  10:30A - 11:20A MW 101 BCSB 
Section 0121: 12:30P - 1:20P MW 118 MLH
Instructor:  Dr. Isabel Darcy 
                
Office:B1H MLH
                   
Phone:
335- 0778
 Email: idarcybiomath+33 AT gmail.com or isabel-darcy AT uiowa.edu 
      
   
Tentative Office Hours:  
MW 9:40 - 10:00am, 11:40 - 12:20,  
W 1:40pm - 2:40pm+, 
and by appt.
Note: + means I will be also available directly after the office hour,
normally for as long as
needed. 
 WebWork instructions (pdf),
 (doc format without comments).
TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section
for pdf file of corresponding class material):
 
 
| Schedule | HW/Announcements | 
| Week 1 | 
| 8/25 | 1.1, 1.2:  Systems of Linear Equations, Row Reduction, and Echelon Forms
 ,    
echelon practice | NOT homework: Practice Quiz 1: 1.1, 1.2     +   
Answers
 Echelon
practice     +   answers
 | 
| 8/27 | 1.3:  Vector Equations,  
ex,  
ex 1,  
ex 2 | 
| Week 2 | 
| 9/1 | Holiday:  Labor Day | HW 1(due date:  Thursday 9/4  ) 
 | 
| 9/3 | 1.3:  Vector Equations | 
| Week 3 | 
|---|
9/8 | 1.4: The Matrix Equation Ax = b  (No W drop date) | HW 2  (due date Wed 9/10, beginning of class) 
HW 3  (due date Thursday 9/11) 
 | 
| 9/10 | 1.5:  Solution Sets of Linear Systems Youtube lecture: Solving homogeneous equations: Ax = 0 
Putting answer in parametric vector form   
18:27 minute video,
pptx,
pdf
 | 
| Week 4 | 
|---|
9/15 | 1.7:  Linear Independence | HW 4  (due date Thursday 9/18) 
 | 
| 9/17 | 2.1: Matrix Operations | 
| Week 5 | 
|---|
| 9/22 | Review | HW 5  (due date Thursday 9/25) Review session Tuesday 9/23, 11:00am -  12:45pm in 427 EPB
 | 
| 9/24 | Exam 1:  Chapter 1,
Answers for form 
 A, 
 B, 
 C, 
 D | 
| Week 6 | 
|---|
| 9/29 | 2.2: The Inverse of a Matrix | 
 
 
 | 
| 10/1 | 2.3: Characterizations of Invertible Matrices | 
	
| Week 7 | 
|---|
10/6 | 2.8: Subspaces of Rn,
2.9 (p. 155 - 157):  Dimension and Rank, Youtube lecture: 
A quick example calculating the column 
space and the nullspace of a matrix
6:32 minute video,
pptx,
pdf
 | HW 6  (due date Thursday 10/9) | 
| 10/8 | 2.9:  Dimension and Rank, | 
| Week 8 | 
|---|
| 10/13 | 3.1, 3.2: Determinants | HW 7  (due date Friday 10/17) Quiz 
1  (due date Sunday 10/19)
 Quiz 1 Answers
 | 
| 10/15 | 3.2:  Properties of Determinants | 
| Week 9 | 
|---|
10/20 | 3.3:  Cramer's Rule, Volume, and Linear Transformations | HW 8  (due date Thursday 10/23) Quiz 2  (due date Saturday 10/25 
will open tomorrow)
 | 
| 10/22 | 5.1, 5.2: Eigenvectors and Eigenvalues and the Characteristic Equation, 
Review | 
| Week 10 | 
|---|
| 10/27 | Multiple choice exam 2 (cumulative) form
 A, 
 B, 
 C, 
 D, 
Answers form 
 A, 
 B, 
 C, 
 D, |  | 
| 10/29 | 5.2:  Characteristic Equation | 
| Week 11 | 
|---|
| 11/3 | 5.3:  Diagonalization
(Drop Deadline) | Due 11/6: eigen0 
and Eigen1 | 
| 11/5 | 5.3: Diagonalization, | 
| Week 12 | 
|---|
| 11/10 | 6.1: Inner Product, Length, and Orthogonality | Due  11/10:  Eigen2 | 
| 11/12 | 6.2, 6.3, 6.4:  Orthogonal Projections and the Gram-Schmidt Process | 
| Week 13 | 
|---|
| 11/17 | 6.4:  Gram-Schmidt Process | Quizzes: due date Thursday 
11/20:
Eigen3,   
Diagonalization1,
 due date Friday 
11/21:
Diagonalization2, 
 
RequiredQuizReviewForExam3
 HW 9  (due date Friday 11/21)
 
 | 
| 11/19 | 7.1:  Diagonalization of Symmetric Matrices | 
***** Thanksgiving break ***** | | Week 14 | 
|---|
| 12/1 | Review | HW 10  (due date Monday 12/1) HW 11  (due date Thursday 12/4)
 RequiredQuizReviewForExam3Part2  (due date Thursday 12/4)
 
 
Exam 3 info 
 | 
| 12/3 | Exam 3:  Ch 5, 6, and 7.1,
form A,
 B,
 C,
 D,
Answers form A,
  B,
 C,
 D, | 
| Week 15 | 
|---|
| 12/8 | 7.2:  Quadratic Forms | HW 12  (due date Thursday 12/11) ShortRequiredFinalQuiz   (due date Thursday 12/11)
 
 
Quiz/HW replacements due Sunday night 11:59pm for the wiki and Monday 
by 2pm for the lecture note reviews.  
Optional problems:
 
MediumOptionalReviewforFinal  and
 
LongOptionalReviewforFinal 
 
 | 
| 12/10 | 7.2 ??
Review,FINAL EXAM INFO | 
| Final Exam Week | 
|---|
| 12/18 | Final Exam 
Thursday 12/18, 12:30p - 02:30p Form C, 
Form D,
 | Location: LR1 VAN Final Exam  info 
 | 
Note:  In order to cover all the material needed for your engineering course, we have a very tight schedule.  The schedule actually only allows for 2 review days and 2 exams.  In order to squeeze time for an extra exam, I have created some youtube lectures.  We will also have a series of youtube lectures during the 11th week of class when I will be in Mexico giving lectures on applications of topological data analysis.  I will be available online to answer any questions, and a sub will be available during class times to provide additional help.
Resources for Students:
Math Tutorial Lab: 125 MLH  
Engineering Tutoring Center:  3124 SC
You will find links to my old exams on my older websites for this course:
Spring 2014
 
Old exams from a 3 unit course I taught in 2002 covering more material:
MIDTERM #1  (Ch. 1, 2, 3.1 - 3.2, 9.9 from an old edition of Lay) ,
MIDTERM #1  answers 
Problems we have covered so far this semester on old Midterm 1:  1, 5, 7, 12bcde
Review
Exam 2,   
Exam 2 Answers (pdf),   
Exam 2 Answers (ps - better fonts?)
Problem set #1:   Old midterm,      Problem set #1 ANSWERS:
	Exam 3,   
Exam 3 answers (pdf file),   
Exam
3 answers (ps file, better fonts?)
?? 
Final Exam  
Final Exam answers (pdf)