Math 320, Linear Algebra I

Instructor: Jack Huizenga

Jack Huizenga
Office: 404 SEO
Tel: 312-413-3749
email: huizenga@math.uic.edu
URL: math.uic.edu/~huizenga
  • Meeting times: MWF 2:00-2:50, 307 Adams Hall
  • First meeting: Monday, August 27
  • Office hours: Monday 3-4, Friday 3-4, or by appointment
  • Textbook: We will use a freely available online book, "Linear Algebra" by Jim Hefferon of Saint Michael's College. You can download it here
Brief course description: This course introduces students to linear algebra. The topics of the course are: matrices, Gaussian elimination, vector spaces, linear transformations, orthogonality, Gram-Schmidt process, determinants, inner products, eigenvalue problems, and an introduction to Jordan canonical form. Successful students will learn to solve both computational problems and problems requiring the students' own proofs.
Prerequisites: Concurrent enrollment in Math 215 (Introduction to Advanced Mathematics).
Homework: Weekly homework assignments will be posted on the webpage each Wednesday, and they are due in class the following Wednesday. Please write your solutions clearly and carefully. If you have to miss class that day, you can turn in your assignment early to my box in SEO 304. Late homework will not be accepted. The lowest score will be dropped at the end of the semester.

Homework is by far the most important part of the course. The only way to learn advanced mathematics is to do advanced mathematics. While there is a solution manual for the text available online, you will be poorly prepared for exams if you make too much use of it.
Collaboration: You are encouraged to discuss homework problems with your fellow students. However, you have to write up your solutions by yourselves and show originality. Please write the names of any students you collaborated with on your assignment.
Exams and Grading: We will tentatively have exams on the following dates.

Week 6: Exam 1, Friday Oct. 5
Week 11: Exam 2, Friday Nov. 9
Final exam: 1:00-3:00 Wednesday, December 12

The homework and exams will count for the following portions of your grade.

Homework: 20%
Exam 1: 20%
Exam 2: 20%
Final: 40%

In order to pass the class, you must pass the final. Students are expected to be present for all exams. Do not schedule travel on an exam date.
Additional references: You might find it helpful to refer to other sources for more information or a different point of view on Linear Algebra:
  • Linear Algebra by Lipschutz (Schaum’s Outline Series).
  • The Khan Academy's video lectures on Linear Algebra
  • Math Archives of Linear Algebra Course Notes and applications Linear Algebra Archive
  • Excerpt on functions from Charles C. Pinter's "A Book of Abstract Algebra."
Disability Services Notification: http://www.uic.edu/depts/oar/campus_policies/disability_notification.html

Academic dishonesty policy: http://www.uic.edu/depts/dos/studentconduct.html

Homework assignments :
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