MATH 2853 Elementary Linear Algebra

Fall Semester 2003

Instructor:

Michele L. Joyner

Mathematics Department

Office: Boyd 309

Phone: 770-836-3506

E-mail: mjoyner@westga.edu

Office hours: Mon., Wed., Fri.:11-12:30; Thurs., 10:30-12, 1:30-2:30; and by

appointment

Course Description:

This
course will provide an applied approach to matrix theory and linear algebra
covering such topics as linear systems, Gauss-Jordan elimination, matrix
inversion, matrix determinants, vectors in R^{n}, real vector spaces,
eigenvalues, eigenvectors and diagonalization.

Learning Outcomes:

¨ The student will be to express linear systems of equations in matrix form. (L3)

¨ The student will be able to solve systems of linear equations using Gauss-Jordan elimination. (L3)

¨ The student will be able to perform basic matrix operations and compute matrix inverses and determinants. (L3)

¨
The student will be introduced to vectors in R^{n}
and will be able to compute the dot product, length, inner product and norm of
vectors. (L3)

¨ The student will be introduced to the basic properties of real vector spaces and subspaces including properties such as linear independence, span, basis, rank, etc. (L3)

¨ The student will examine linear transformations. (L3)

¨ The student will be able to compute eigenvalues and eigenvectors of a square matrix. (L3)

¨ The student will be able to use a software package such as Maple to perform basic matrix operations. (L8)

Textbook:

Kolman
/ Hill, *Introductory Linear Algebra With Applications, *Seventh Edition,
Prentice Hall, 2001.

Prerequisites:

CS 1301; Prerequisite or corequisite: MATH 2644

Requirements and Grading:

¨
Exams:
There will be four 50-minute tests worth 100 points each. Below are the *tentative*
test dates:

Test 1: Friday, September 12

Test 2: Monday, October 6

Test 3: Friday, October 31

Test 4: Monday, November 24

*No* test
grades will be dropped; however, a student may replace their lowest test grade
with their final exam grade if their final exam grade is higher.

¨
Final
Exam: There will be one multiple choice *comprehensive*
final exam worth 100 points. Scantron form 229629 will be required.

Friday, December 12, 8 a.m. – 10 a.m.

¨ Computer Assignments: There will be approximately 5-7 computer assignments which will require the use of the mathematical software package Maple to solve problems similar to those seen in class. These assignments are to be turned in for a grade. The scores on these assignments will be averaged, converted to a 100 point basis and counted as a fifth test.

Computer
assignments are due on the date given at the *beginning* of the class
period. Late computer assignments will be considered any computer assignment
not turned in during the first 10 minutes of class. Late computer assignments
will be accepted with the following immediate deductions:

Up to 1 day late: 15 points deducted;

Up to 2 days late: 30 points deducted;

Up to 3 days late: 45 points deducted;

After 3 days late: not accepted.

¨ Homework: This is an important part of the course. There will be no homework assignments to be handed in. However, at the end of most classes you will be given a list of problems – these are the minimum that you should work. Some of these problems will be gone over in the next class session. Practice is important. You should make sure to set aside some time every class day to work problems.

¨ Grading: My grading scale is straightforward. The total percentage for the tests, computer assignments and final exam are given below.

Tests: 64% total (16% each)

Computer Assignments: 16% total

Final Exam: 20% total

The final letter grade will be determined by the following scale:

A(excellent) = 90-100%

B(good) = 80-89%

C(adequate) = 70-79%

D(poor) = 60-69%

F(dismal) = 59% and below

Make-ups:

Except
in extreme circumstances, any missed exam must be made up within one week of
the day the exam was given. Students who miss an exam are required to notify me
as close to the missed exam time as possible (the day of the exam is
preferable). If I am not notified of a missed exam before the exams are
returned, the student will not be allowed to make-up the exam. For any missed
exam, there must be a reasonable excuse for missing the exam and the excuse
must be in writing. Those students who miss an exam due to academic activities
must notify me *prior* to the date of the exam to schedule a make-up exam.

Attendance Policy:

Students
are expected to attend every class. If you miss a class for whatever reason,
including academic activities, you are responsible for the material covered in
the class and the assignments/announcements made during the class period.
Although excessive absences are not penalized, students who attend regularly
will be rewarded. For students who have 0 absences, the student will have a
total of 2 points added to their final grade. Any absence, excused or not, will
count as an absence __except__ for absences due to activities affiliated
with the university. For those students who miss 1 class, the student will
receive a total of 5 points added to their lowest test grade. For those
students who only miss 2 classes, the student will receive 3 points added to
their lowest test grade. If a student misses 3 classes or more, no rewards will
be given. If a class is missed, the student is responsible for all material and
assignments. The class attendance sheet will be passed around when the class
begins. Those students late to class will not be allowed to sign the attendance
sheet until the end of the class period. Two tardies will count as one absence.

**Disabilities:**

Students with documented disabilities (through West Georgia’s Disability Services) will be given

all reasonable accommodations. Students must take the responsibility to make their disability

known and request academic adjustments or auxiliary aids. Adjustments needed in relation to test-

taking must be brought to the instructor's attention well in advance of the test (at least one week

prior).

Academic honesty:

Students are expected to achieve and maintain the highest standards of academic honesty and

excellence as described in the Undergraduate Catalog and Uncatalog. In short, be responsible and

do your own work. Instances of academic dishonesty will be handled accordingly.

Other Important Dates:

Last day to withdrawal with grade of W is October 9.

Proposed Course Schedule:

__Date__ __Sections__ __Date__ __Sections__

(M) August 18 1.1 (M) October 20 5.1

(W) August 20 1.1, 1.2 (W) October 22 5.1

(F) August 22 1.2, 1.3 (F) October 24 5.2

(M) August 25 1.3, 1.4 (M) October 27 5.3

(W) August 27 Maple lab (W) October 29 Review

(F) August 29 1.5 (F) October 31 Test #3

(M) September 1 Labor Day – no classes (M) November 3 8.1

(W) September 3 1.5 (W) November 5 8.1

(F) September 5 2.2 (F) November 7 8.2

(M) September 8 2.2 (M) November 10 6.1, 6.2

(W) September 10 Review (W) November 12 6.2

(F) September 12 Test #1 (F) November 14 6.3

(M) September 15 1.6 (M) November 17 6.3

(W) September 17 1.6 (W) November 19 6.4

(F) September 19 2.5 (F) November 21 Review

(M) September 22 2.5 (M) November 24 Test #4

(W) September 24 3.1 – 3.2 (W) November 26 no classes

(F) September 26 3.1 – 3.2 (F) November 28 no classes

(M) September 29 4.1 (M) December 1 6.6

(W) October 1 4.1 (W) December 3 6.6

(F) October 3 Review (Th) December 4 Review

(M) October 6 Test #2

(W) October 8 4.2

(F) October 10 no classes (F) December 12 Final Exam (8 -10)

(M) October 1 3 4.2

(W) October 1 5 4.3

(F) October 1 7 4.3

Homework:

__Section:__ __Assigned Problems__
__Section:__ __Assigned Problems__

1.1 1-15odd 4.3 1-5odd, 9, 13-17odd, 23-31odd

1.2 1-9odd, 10 5.1 1a,b,c, 2-6all, 7a,b; handout 1-16

1.3 1-9odd, 15-19odd 5.2 1-9odd, 10

1.4 1-13odd 5.3 1,3-6all, 8-10all

1.5 1-7odd, 17(for 13 &15), 19, 21, 23, 27, 29 6.1 1, 2, 11-13all

1.6 1-11odd, 25 6.2 1-5odd, 21-23all

2.2 1-7odd 6.3 1-11odd, 15

2.5 1-4all 6.4 1-5odd

3.1 5b,c, 15-23odd 6.6 1-15odd, 21-23all

3.2 3,5,9-15odd, 21, 23 8.1 1, 2, 3-13odd

4.1 2, 3-11odd,19-23odd, 24, 26, 27 8.2 1-9odd, 10, 11-41 odd, 42

4.2 1-5odd, 11-17odd, 21-29odd, 26, 30