MATH 2853 Elementary Linear Algebra

Spring Semester 2003

Instructor:

Michele L. Joyner

Mathematics Department

Office:
Boyd 309

Phone:
770-836-3506

E-mail:
mjoyner@westga.edu

Office
hours: Mon., Wed. 11-12, 2-3; Thurs., Fri. 11-12; 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, January 31

Test
2: Friday, February 21

Test
3: Monday, March 31

Test
4: Wednesday, April 16

*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 *comprehensive* final exam
worth 200 points:

Friday,
May 2, 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.

¨ 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:
60% total (15% each)

Computer
Assignments: 15% total

Final
Exam: 25% 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:

*No* late computer assignments
will be accepted. They are due on the date given at the *beginning* of the class period. Except in extreme circumstances, any
missed exam must be made up within one week of the day the exam was given.
There must be a reasonable excuse for missing the exam and the excuse must be
in writing.

Attendance Policy:

Students
are expected to attend every class. 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 travel 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.

**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 February 27.

Proposed Course
Schedule:

__Date__ __Sections__ __Date__ __Sections__

(M) January 6 1.1 (M) March 10 5.2

(W)
January 8 1.1, 1.2 (W) March 12 6.1

(F)
January 10 1.2, 1.3 (F) March 14 no classes

(M)
January 13 Maple lab (M) March 17 Spring Break

(W)
January 15 1.3, 1.4 (W) March 19 Spring Break

(F)
January 17 1.4, 1.5 (F) March 21 Spring Break

(M)
January 20 MLK holiday – no classes (M) March 24 6.1,
6.2

(W)
January 22 1.5 (W) March 26 6.2

(F)
January 24 1.5 (F) March 28 Review

(M)
January 27 2.2 (M) March 31 Test #3

(W)
January 29 Review (W) April 2 6.3

(F)
January 31 Test #1 (F) April 4 6.4

(M)
February 3 1.6 (M) April 7 6.4

(W)
February 5 1.6 (W) April 9 6.5

(F)
February 7 2.4 (F) April 11 6.6

(M)
February 10 3.1 (M) April 14 Review

(W)
February 12 no classes (W) April 16 Test #4

(F)
February 14 3.2 (F) April 18 8.1

(M)
February 17 3.2 (M) April 21 8.1

(W)
February 19 Review (W) April 23 8.2

(F)
February 21 Test #2 (F) April 25 8.2

(M)
February 24 4.1 (M) April 28 Review

(W)
February 26 4.1 (W) April 30

(F)
February 28 4.2 (F) May 2 Final
Exam (8 -10)

(M)
March 3 4.2

(W)
March 5 4.3

(F) March 7 5.1

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