MATH 221 Home Page

Course description

MATH 221 - INTRODUCTION TO MATRIX THEORY
Prerequisite: Math 176 or Math 182.

Modeling and applications are stressed throughout. Topics covered to solve and analyze these models are matrix algebra, systems of linear equations, determinants, vector algebra and geometry in Euclidean 3-space, eigenvalues, eigenvectors. The course will use Maple 11 for homework, hour exams and modeling and computational exams.

Math 221-03 -----Fall, 2008

CLASS MEETS:On line
INSTRUCTOR: Gary Bogar
OFFICE: Wilson 2-249
OFFICE HOURS: 12:00-3:00 WIL 1-145 M,W,F
PHONE:994-5336
EMAIL:bogar@math.montana.edu
EMAIL FOR ASSIGNMENTS:bogar5101@gmail.com
TEXTBOOK:The manuscript Matrix Theory and Modeling will be used and copies may be purchased at Cards 'n Copies. Also, I have made the book into a pdf file that you can access with the following link.
text.pdf
LAB MANUALS:The manual Maple for Matrix Theory and Modeling is also available for purchase at Cards 'n Copies. The Manual has a lot of nice commands from the with(linalg) package that goes along with the different sections of the text. The Manual will be up dataed in the future to have the commands in the with(LinearAlgebra) package. The lectures should have the commands that you will need. The lLab manual is also on line in the text.pdf file.
GRADING SYSTEM: The course grade will be based on 3 in class hourly exams, 3 modeling and computational exams, homework,and quizes. Homework turned later than the next class period after it is due will not receive full credit. Homework turned in a week late will receive no credit.
ADOPTION PROGRAM: Maple has an offer for students taking class which requires Maple for the class, if the class is registered with their adpption program. You class has been registered and you can buy a copy for you own use if you would like. http://www.maplesoft.com/academic/adoptioncenter/adoptioncenter_coursedetail.asx?EID=4083. If you need it the Promotion Code is AP40832. The only problem with the offer is that you will have to down load the Manual. The offer is for Maple 12 which has not been put on the MSU computers at this time. There should be no problems in going between Maple 11 and Maple 12.
MAPLE ON CAMPUS: You can access Maple software on campus through an account that is set up for you on the math department server Hilbert. Also, there is are copies in Roberts Hall computer labs and at most of the other stucent labs. How to get to Maple is found in the instructions command that you can click on below.
EXAMS:

Details for times and places for exams will come later

Chapter 1 Exam,  E1  = 100 points
Chapter 2 Exam,  E2  = 100 points
Chapter 3 Exam,  E3  = 100 points  
Chapter 1 MCExam, CE1 =  50 points
Chapter 2 MCExam, CE2 =  50 points
Chapter 3 MCExam, CE3 =  50 points
Homework etc., HPQ =   200 points
                     ---
             Total =   650 points

Grading Scale
96-100  A
90-95   A-
87-89   B+
83-86   B
80-82   B-
77-79   C+
73-76   C
70-72   C-
65-69   D+
60-64   D

Lectures

Lecture 19 Gerschgorin Circles fig 1

Lecture 19 Gerschgorin Circles fig 2

All home work must be turned in by December , 2008. I will not be able to grade any homework during final exam week Homework, projects, quizzes, and tests
Suggested Problems: Not all problems will be turned in for a grade. See the end of each Lecture.

Homework Chapter 1
Section 1.1 1.1.1,1.1.3,1.1.5,,1.1.7,1.1.11,1.1.14,1.1.17,1.1.23,1.1.25,
1.1.27,1.1.32,1.1.35,1.1.37,1.1.40,1.1.41
Section 1.2 1.2.1,1.2.3,1.2.5,1.2.9,1.2.13,1.2.15,1.2.17,1.2.19
1.2.21,1.2.23,1.2.25,1.2.31,1.2.33
Section 1.3 1.3.9,1.3.11,1.3.12,1.3.17,1.3.18,1.3.23,1.3.26,
1.3.39,1.3.44,1.3.45,1.3.47,1.3.49,1.3.51,1.3.53,1.3.54,1.3.57
Section 1.4 1.4.3,1.4.7,1.4.11,1.4.15,1.4.18,1.4.23,1.4.26,1.4.29,1.4.30,
1.4.35,1.4.40,1.4.44
Section 1.5 1.5.3,1.5.5,1.5.11,1.5.15,1.5.19,1.5.25,1.5.31,1.5.36,
1.5.46,1.5.48
Section 1.6 1.6.1,1.6.5,1.6.7,1.6.9,1.6.11,1.6.15,1.6.19,1.6.21,1.6.23,
1.6.26,1.6.32,1.6.35,1.6.36,1.6.38,1.6.40,1.6.41
Section 1.7 1.7.1,1.7.5,1.7.7,1.7.5,1.7.11,1.7.18,1.7.22,
1.7.27,1.7.32,1.7.36,1.7.41,1.7.41,1.7.43
Section 1.8 1.8.1,1.8.2,1.8.5,1.8.6,1.8.6,1.8.10,1.8.12
Section 1.9 1.9.1,1.9.2,1.9.3,1.9.4,1.9.7
Homework Chapter 2
Section 2.1 2.1.1,2.1.3,2.1.4,2.1.5,2.1.6,2.1.7,2.1.8,2.1.10,2.1.11
Section 2.2 2.2.1,2.2.3,2.2.4,2.2.5,2.2.7,2.2.11,2.2.12
Section 2.4 2.4.1,2.4.3,2.4.5,2.4.7,2.4.9,2.4.12,2.4.15,2.4.17
Section 2.5 2.5.2,2.5.3,2.5.6,2.5.7,2.5.10
Section 2.6 2.6.1,2.6.4,2.6.6,2.6.8,2.6.10
Homework Chapter 3
Section 3.1 3.1.2(a),(b),(d),(f),(e),(h),3.1.3,3.1.4(b),(d),(g),(h),3.1.6(b),(c),(d), 3.1.7,3.1.8,3.1.9,3.1.10,3.1.12,3.1.13,3.1.17
Section 3.2 3.2.3,3.2.4,3.2.10,3.2.13,3.2.14
Section 3.3 3.3.3,3.3.5,3.3.6,3.3.7,3.3.8
Section 3.4 3.4.4,3.4.5,3.4.6,3.4.12
Section 3.5 3.5.1,3.5.2,3.5.3,3.5.4,3.5.6
Section 3.6 3.6.1,3.6.2,3.6.3
TESTS

Review for Test 1 on October 3 , 2008 Practice exam will be on web page
before this time
Test 1 October 6, 2008.

Test 1 Computer and Modeling Exam will be due by 5:00 p.m. on October 10,2008

221ce01f08.pdf circuit1.pdf Temperature1.pdf Temperature2.pdf traffic.pdf
Practice Exam

Practice Test 1 Key
m221t1f08p.pdf
Test 2 November 5,2008 covers Chapter 2 at 4:00-6:00 Wilson 1-144

Test 2 Practice Exam Downloads
m221t2f08p.pdf
Practice Test 2 Key
Modeling and Computational Test 2 on November 7, 2008

Modeling and Computational Test 2 pdf file and figures
m221ce2f08.pdf tower7.pdf tower7a.pdf

Third Computer Exam - Time to work on in class

Due on December 12, 2008

Third Modeling Exam and Thrid Practice Exam as pdf flie.

You can download

For Problem 1 (c) it should start Find a matrix K not P
m221ce3f08.pdf m221t3pf08.pdf
For problem 5 on Computer and Modeling test 3 look at Exercise 3.1.1 in your text. Also parts b and c should be combined into one part

The matrix in part b should have the values from part c before you try to find the eigenvalues and eigenvectors.

Third Exam on December 10 Covers Chapter 3
m221t3f08.pdf
Maple mw or mws files

Place template file in assignment folder for exam

Exams should be opened and saved in Assignment folder
test1s08temp.mw test2temp.mw test2t.mw test3temp.mw
Maple mw or mws files
test1p.mws test3p.mw
Xfig files 2008
etowers.jpg etowers.pdf