MATH 4513




Instructor: Scott Sykes

Office: MP 314

Office Hours: Monday 11:00-2:00, 3:30-5:30

Wednesday 11:00-2:00

Friday 11:00-12:00

or by appointment

Office Phone: 836-4346



Prerequisite: MATH 2853 and 3003

Course Description: The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include abstract vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.


Learning Outcomes:

At the end of this course, the student will be able to:

  1. Understand vector spaces, subspaces, and dimension
  2. Understand what it means for a set of vectors to be linearly independent, spanning and a basis in a vector space (see L3)
  3. Understand linear transformations (see L3)
  4. Understand and compute determinants (see L3)
  5. Write a paper linking some or all of these concepts (see L2)


TEXT: Elementary Linear Algebra, Kohlman-Hill


TESTS: There will be exams on Monday, February 24 and Monday, April 21. Each will count 100 points towards your final grade.



FINAL: The final is Monday, May 5 at 5:30-7:30. It counts 200 points towards your final grade and will be comprehensive.


HOMEWORK: Homework will be assigned each week and collected the following Monday. Each assignment is worth 15 points. You will lose 3 points for each day it is late. You may count a maximum of 200 points towards your final grade.





WRITTEN ASSIGNEMENT (4513 Students Only) This is a WAC course and you will have to do a 5 7 page written paper on some application of linear algebra. The deadlines are as follows:

Topic: Monday, February 3 (10 points)

Rough Draft #1 : Monday, March 10 (15 points)

Rough Draft # 2 : Monday, April 7 (15 points)

Final paper: Monday, April 28 (60 points)

No two students can do a paper on the same topic. It will be determined who can do a particular topic based on when I get the topic from you. Rough drafts will be read for mathematics quality only although excessive grammatical or spelling errors will lower your grade. All other mistakes should be corrected before the final paper is submitted. Each day late will lose you 5 points.



GRADES: Your grade will be determined based on the following formula


TESTS 200 points

FINAL 200 points

HOMEWORK 200 points

PAPER/PROJECT 100 points

TOTAL 700 points



630-700 A

560-629 B

490-559 C

420-489 D

0-419 F


If you ever have any questions or suggestions, feel free to come by my office at any time. I will definitely be there during my office hours, you can just stop by. You can also stop by or call to see if I am there at other times.