A-116 Wells Hall

Professor Thomas H. Parker

D-216 Wells Hall 353-8493

parker@math.msu.edu

Office hours:

Monday: 11 -12

Tuesday 1-2

Thursday 2-3

and by appointment (email to set up time).

Goals: This course is an introduction to Linear Algebra. After calculus, Linear Algebra is the most useful branch of mathematics, with innumerable applications in statistics, computer science, engineering, physics, economics and in mathematics itself. It combines algebra and geometry in a way that is mathematically "clean": the definitions and theorems are simple and precise, and most proofs are short, direct and illuminating.

But Linear Algebra is a modern, abstract subject. All students find the jump in the level of abstraction difficult --- linear algebra is considerably harder than calculus. Be prepared!

Prerequisites: A year of Calculus, Math
299, and a committment to work hard on abstract mathematics. **Course
outline**

Textbook:* Linear Algebra with Applications,
9th ed. *by
Steven Leon. Sections 1-5 (8th edition)

Additonal Resources: The following additional resources may be helpful.

- Schaum's Outlines:
*Linear Algebra*by S. Lipschutz and M. Lipson. *Linear Algebra done wrong,*by S. Treil. A free online book with a clean presentation.- Video lectures: Free video lectures on Linear Algebra are available online from Johns Hopkins (for a course very similar to ours), and from MIT (for a course that emphasizes the applications of linear algebra to numerical analysis).
*Linear Algebra*by S. Lang.

Web Calculators: This site and this site (requires Java) calculate eigenvalues and eigenvectors, this site is useful for matrix calculations.

FINAL EXAM: Monday, April 30, 3-5 p.m. in our classroom.

Homework Sets: HW 1-5 HW 6-10 HW 11-16 HW 17-22 HW 23-30 HW 31-38

Exam and Quiz Solutions: Quiz 1 Quiz 2 Exam 1 Quiz 3 Exam 2 Quiz 4 Quiz 5

Handouts: Vector Space Def Exam 1 Review Section 4.2 Handout Isomorphisms Handout Exam 2 Review Theorem 5.2 HW5.3 Solutions

Eigenvectors Handout Final Exam Review

Worksheets: Matrix multiplication

Lecture Notes: March 2 Class Notes March 30 Notes