Mathematics Department | Illinois State University

MAT 175 Elementary Linear Algebra, Fall 2010

INSTRUCTOR: George Seelinger
OFFICE: STV 313C
PHONE: 438-8781, E-MAIL: gfseeli@ilstu.edu
OFFICE HOURS: MWTh 10:30-11:20
COURSE WEB PAGE: http://www.math.ilstu.edu/gfseeli/mat175/mat175S1F10.html

****Finals Week Office Hours are: Monday 12/13, 1:00 - 1:50; Wednesday, 12/15, 10:00-10:50.****

PREREQUISITES: C or better in MAT 146 required; MAT 147 recommended.

CATALOG DESCRIPTION: Vector Geometry, matrices, systems of linear equations, vector spaces, linear transformations, eigenvalues, diagonalization, applications to the physical and social sciences.

TEXT: Elementary Linear Algebra: A Matrix Approach, 2e, by Friedberg, Insel, and Spence. Prentice Hall, Upper Saddle River NJ, 2008. (The webpage maintained by the authors can be found at http://www.cas.ilstu.edu/math/matrix/.)

CALCULATORS: A Calculator with matrix and CAS capabilities is required. The TI-89 is recommended.

SYLLABUS: The course will cover most of Chapters 1-6 of the text.

COURSE OBJECTIVES: MAT 175 is designed to be a transition course between lower-level classes that emphasize calculuation and upper-level classes that emphasize proofs and problem-solving. There are three principal goals for this course:

to learn the content of Chapters 1-6 of the text;
to grow in your ability to learn mathematics on your own;
to learn to write simple proofs.

GRADING: Grades will be assigned on the basis of 650 points, as follows:

3 hour exams worth 100 points each
Quizzes, homework,and classwork 150 points total
Final exam, 200 points

The final exam will be a comprehensive examination. It is scheduled on Thursday, December 16th, 7:50 a.m. to 10:30 a.m.
NOTE: Attendance at exams is required. If you must miss an exam for a legitimate reason, you must notify me in advance, either by calling my office before class or by e-mailing me.

HOMEWORK/QUIZZES: Each week you will be assigned a series of problems in the text or online. Some of these problems will be designated quiz problems that you will be quizzed on when announced, typically on Fridays. The rest of these problems will be handed in for a grade each Thursday before the end of class.

WITHDRAWAL: The last day for undergraduates to withdraw from a full-session course is Friday, October 15th.

ON THE WEB:

Math Archives, from the University of Tennessee at Knoxville
Math Forum, from Swarthmore College
Understanding Mathematics: a study guide, from the University of Utah
Materials for Linear Algebra, from Duke University
Sage Mathematics Software on the WEB is a computer algebra system you can use on the Web if you sign up for a free account.

STUDENT HANDOUTS:
Handouts from class will typically be posted here in PDF format.

List of Definitions (To be updated as we go through more definitions during the semester.)
Matrix Properties I
Vector Properties
Worksheet 1
Worksheet 2
Note Sheet on Row-Echelon forms
Worksheet 3
Leontif Input-Output Example
Exam 1 Solutions
Worksheet 4
Worksheet 5
Exam 2 Solutions
One-to-One and Onto Diagrams
Statement and Proof of Theorem A
Examples computing Determinants
Worksheet 6
Linear Tranformation Coordinate Map
Worksheet 7 | Solutions for Worksheet 7
Exam 3 Solutions
Properties of the Dot Product
Final Exam Review Problems

TENTATIVE SCHEDULE OF LECTURES:
(This schedule is subject to revision.)

Monday                              Friday           M Tu  W Th  F

 Ch 1       Ch 1         Ch 1       Ch 1        AUG 23 24 25 26 27

 Ch 1        1.4         1.4         1.5        SEP 30 31  1  2  3 

Labor Day    1.6         1.6         1.7             6  7  8  9 10

 1.7         1.7         2.1         2.1            13 14 15 16 17

 2.3         2.3        Review      EXAM I          20 21 22 23 24

 2.4         2.4         2.6         2.7            27 28 29 30  1

 2.7         2.8         2.8         3.1        OCT  4  5  6  7  8

 3.2         4.1         4.1         4.2            11 12 13 14 15

 4.2         4.2        Review      EXAM II         18 19 20 21 22

 4.3         4.4         4.4         4.5            25 26 27 28 29  

 4.5         5.1         5.2         5.2        NOV  1  2  3  4  5

 5.3         5.3         6.1         6.1             8  9 10 11 12

 6.2         6.2         6.3         6.3            15 16 17 18 19

    T H A N K S G I V I N G    B R E A K            22 23 24 25 26

 6.4         6.4        Review      EXAM III   DEC  29 30  1  2  3

 6.5         6.5        Review      Review           6  7  8  9 10
                                                    
  FINAL EXAM Thursday, Dec 16th, 7:50-10:30 AM      13 14 15 16 17

HOMEWORK PROBLEMS:

These problems have been chosen to represent the various skills that you need to develop, including the ability to write short proofs. Solving these problems should be the foundation for success in the course. On the other hand, this list is just the minimum that you should work on.

Quiz Problems for 9/2: Sect 1.1, # 16-24; Sect 1.2 # 7,10,12,13,33,34
Homework Due 9/3: Sect 1.1, # 33,36,75; Sect 1.2 # 41,43,44,72,80,81
Quiz Problems for 9/9: Sect 1.3 # 6,18,36-38,44-50; Sect 1.4 # 7-10
Homework Due 9/10: Sect 1.3 # 55,56,81,82; Sect 1.4 # 22,26,32,34
Quiz Problems for 9/16: Sect 1.6 # 11,13,17,19,25,27,39,44
Homework Due 9/17: Sect 1.4 # 44,48; Sect 1.5 # 17,18; Sect 1.6 # 26,66,69,70,72
No Quiz on 9/23 as we have EXAM 1 on 9/24
Homework Due 9/24: Sect 1.7 # 26,28,30,36,42,85,86,88; Sect 4.1 # 6,8,14
Quiz Problems for 9/30: Sect 4.1 # 23,29,31,33,69; Sect 4.2 # 3,5
Homework Due 10/1: Sect 4.1 # 83,86,92,94,99; Sect 4.2 # 20,22,28
Quiz Problems for 10/7: Sect 4.2 # 18,19,31; Sect 4.3 # 9-12
Homework Due 10/8: Sect 4.2 # 68,70,72,73,83; Sect 4.3 # 64,66,72,79
Quiz Problems for 10/14: Sect 4.4 #9,10,11,13,19,21; Sect 2.1 # 11-18,29,30
Homework Due 10/15: Sect 4.4 # 56,60,64,66,96; Sect 2.1 # 53,60,63,68
No Quiz on 10/21 as we have EXAM 2 on 10/22
Homework Due 10/22: Sect 2.3 # 24,29,54,56,57; Sect 2.4 # 12,13,29,31,57,64,67
Quiz Problems for 10/28: Sect 2.7 # 13,15,17,27,29,31
Homework Due 10/29: Sect 2.7 # 62,64,71,75,76,78,84,90,95
Quiz Problems for 11/4: Sect 2.8 # 5,17,27,29,33,35; Sect 3.1 # 5,7,23,27
Homework Due 11/5: Sect 2.8 # 86,88,91,92,97; Sect 3.1 # 65,66,70,71
Quiz Problems for 11/11: Sect 3.2 # 13,17,27,31; Sect 4.4 # 23,25; Sect 4.5 # 3,11,13
Homework Due 11/12: Sect 3.2 # 71,73,75; Sect 4.4 # 102,103; Sect 4.5 # 39,40,44,48
Quiz Problems for 11/18: Sect 5.1 # 15,17,35,39; Sect 5.2 # 15,17,19,33,37
Homework Due 11/19: Sect 5.1 # 40,63,67,69; Sect 5.2 # 48,78,82,84,86
No Quiz on 10/21 as we have EXAM 3 on 12/3
Homework Due 12/3: Sect 5.3 # 19,20,52,63,64,80,82,84,85
Extra Credit Homework Due 12/10: Sect 6.1 # 43,44,54,86,87,93,104; Sect 6.2 # 13, 14