MAT 331 Linear Algebra

General Info:

• Time: Mon, Wed 11:30--12:45
• Classroom: SBS B137

Prerequisites: MAT 247 and MAT 271 a grade C or better.

Syllabus: Linear Maps, Matrix representation of Linear Maps, Change of basis, Operators, Similarity, Normal Forms, Linear and Quadratic forms, Inner Product Spaces, Spectral Theory.

Textbook and References:

• Peter J. Cameron's Note on Linear Algebra available at his blog. (textbook)
• Course notes
• The slides and notes from my MAT 247
• A sample of Jim Hefferon's Linear Algebra available at this page.
• Link to Fall 2023 textbook for MAT 247
• Course webapge of Math 130 from Clark University.
• Course webpage of a linear algebra course from University of Chicago.

Course Management: Canvas

Computation Tools: Sagemath cell

HW: Homework are given on Webwork

Schedule

Week 1	Vector Space and Linear Map
Week 2	Vector Space and Linear Map
Week 3	Linear Combination, Linear Dependence
Week 4	Linear Combination, Linear Dependence
Week 5	President's Day (02/19), Matrix Representation
Week 6	Review, Test 1 (02/28)
Week 7	Change of Bases, Equivalence
Week 8	Eigenspaces, Similarity
Week 9	Eigenspaces, Similarity
Week 10	Inner Product
Week 11	Spring Recess
Week 12	Inner Product
Week 13	Projection, Test 2 (4/17)
Week 14	Projection, Gram-Schmidt Process
Week 15	Gram-Schmidt Process
Week 16	Review
Final Exam (Comprehensive)	May 15 11:30--01:30

Grading Scheme: HW: 15%, Tests: Two midterms (25% each), Final: 35%

Learning Outcomes: Please refer to this Expected Outcomes section.

Other Policies: For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work and various other topics, please consult this page .