MATH 221-01 & 04 Home Page

Course description

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

Modeling and applications are stressed throughout. Topics used to solve and analyze these models are matrix algebra, systems of linear equations, determinants, vector algebra and geometry in Euclidean 3-space, eigenvalues, eigenvectors.

Math 221-01 & 04 ----- Fall, 2000

CLASSES MEET: Section 01: 8:00 - 8:50 a.m., MWF, in Wilson 1-148
Section 04: 1:10 - 2:00 p.m., MWF, in Wilson 1-126
LABS: During class time, days to be announced, in Wilson 1-144
INSTRUCTOR: Ken Bowers
OFFICE: Wilson 2-254
OFFICE HOURS: 9 MW, 10 F, 2 T
PHONE: 994-5342
EMAIL: bowers@math.montana.edu
FALL 2000 SCHEDULE
TEXTBOOK: The manuscript Matrix Theory and Modeling will be used and copies may be purchased at Cards 'n Copies in the SUB basement.
SELECTED SOLUTIONS: Handwritten solutions to selected exercises in Matrix Theory and Modeling may be purchased at Cards 'n Copies in the SUB basement.
SOFTWARE: We will use the software package Maple developed by Waterloo Maple Inc. We will use the computer lab in Wilson Hall 1-144.
LAB MANUALS: The manual Maple for Matrix Theory and Modeling is available for purchase at Cards 'n Copies in the SUB basement. The most relevant commands are summarized under Maple commands.
GRADING SYSTEM: The course grade will be based on 3 hour exams worth 100 points each (one after each chapter), 2 computational exams worth 50 points each, and quizzes/homework/projects totaling 200 points.
```
Chapter 1 Exam, E1       = 100 points
Chapter 1 Comp. Exam, C1 =  50 points
Chapter 2 Exam, E2       = 100 points
Chapter 2 Comp. Exam, C2 =  50 points
Chapter 3 Exam, E3       = 100 points
Quizzes etc., HPQ       = 200 points
                     ---
                   Total = 600 points
```
A grading scale of 90%, 80%, 70%, 60% is used. So an A is greater than or equal to 90% of 600 or 540-600 points, a B is 480-539 points, a C is 420-479 points, a D is 360-419 points, and less than 360 points is an F.

Course Schedule

September

Wednesday, 6
Friday, 8
Monday, 11
Wednesday, 13
Friday, 15
Monday, 18
Wednesday, 20
Friday, 22
Monday, 25
Wednesday, 27
Friday, 29

October

Monday, 2
Wednesday, 4
Friday, 6
Monday, 9
Wednesday, 11
Friday, 13
Monday, 16
Wednesday, 18
Friday, 20
Monday, 23
Wednesday, 25
Friday, 27
Monday, 30

November

Wednesday, 1
Friday, 3
Monday, 6
Wednesday, 8
Friday, 10
Monday, 13
Wednesday, 15
Friday, 17
Monday, 20
Wednesday, 22
Friday, 24
Monday, 27
Wednesday, 29

December

Friday, 1
Monday, 4
Wednesday, 6
Friday, 8
Monday, 11
Wednesday, 13
Friday, 15

Homework, projects, quizzes, and tests

Chapter 1 Homework

Read Sections 1.1, 1.2, 1.4-1.9
Section 1.1, #2, 3, 5, 7, 9
Section 1.2, #1-3, 6, 7, 11, 12
Section 1.4, #2, 4, 5b,c, 11, 1.2.5
Section 1.5, #1, 2, 3, 5
Section 1.6, #2, 4, 8, 9b,c,e, 11, 13, 15, 16
Section 1.7, #2, 4, 6a,c,d, 7, 8, 9, 12
Section 1.8, #1, 2, 4, 6, 7, 8, 10
Section 1.9, #1, 2, 3, 4, 5

Quiz #1, Sections 1.1-1.2 Friday 9-15

Quiz #2, Sections 1.1-1.2, 1.4 Friday 9-22

Quiz #3, Sections 1.1-1.2, 1.4-1.6 Wednesday 9-27

Quiz #4, Sections 1.1-1.2, 1.4-1.7 Monday 10-2

Quiz #5, Sections 1.1-1.2, 1.4-1.8 Friday 10-6

Exam #1, Chapter 1, Sections 1, 2, 4-9, Wednesday, 10-11

Chapter 2 Homework

Read Sections 2.1-2.6
Section 2.1, #3, 4, 5, 8, 9
Section 2.2, #2a,b, 3, 5, 6, 7, 8a,b
Section 2.3, #1, 4, 6, 7, 8
Section 2.4, #1, 2, 3, 8, 10, 13
Section 2.5, #1, 3, 7a, 9, 10
Section 2.6, #1, 2, 5, 9

Quiz #6, Send me an email message with the code Yankees Three-Peat to bowers@math.montana.edu
Due Tuesday 10-24 at 5:00 pm

Quiz #7, Sections 2.1-2.2 Wednesday 10-25

Quiz #8, Copy your worksheet for the singular system into your subdirectory /assignments so that it can be graded
Due Tuesday 10-31 at 5:00 pm

Quiz #9, Sections 2.1-2.3 Monday 10-30

Take-home Computer Exam #1, Chapter 1, Sections 1, 2, 4-9, Due Friday, 11-3 Here are relevant Maple commands

Quiz #10, Sections 2.1-2.5 Wednesday 11-8

Quiz #11, Sections 2.1-2.6 Wednesday 11-15

Exam #2, Chapter 2, Sections 1-6 Monday, 11-20

Take-home Computer Exam #2, Chapter 2, Sections 1-6, Due Wednesday, 11-22 Here are relevant Maple commands

Chapter 3 Homework

Read Sections 3.1-3.6
Section 3.1, #2b,d,e,h, 3, 6, 7, 8
Section 3.2, #3b,c,e,g, 9,12
Section 3.3, #2, 3, 4, 5, 6, 10
Section 3.4, #1, 2, 6, 12
Section 3.5, #2, 3, 6, 8
Section 3.6, #1, 2

Quiz #12, Section 3.1 Wednesday 11-29

Quiz #13, Sections 3.1-3.3 Monday 12-4

Quiz #14, Sections 3.1-3.5 Friday 12-8

Exam #3, Chapter 3, Sections 1-6 Friday, 12-15