This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Linear Algebra -- Spring 2013

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MTH 331 - Linear Algebra. Vector spaces, matrices and determinants, linear transformations, eigenvalues and eigenvectors, and applications. PR: MTH300. 4 hours.

  • Time and Place: 5:00 pm - 5:50 pm MTWR Smith Hall 513
  • Instructor: Peter Saveliev (call me Peter)
  • Office: 325 Smith Hall
  • Office Hours: 2:30 - 4:30 TR, or by appointment
  • Office Phone: x4639
  • E-mail:
  • Class Web-Page:
  • Prerequisites: Math 300, the ability to understand and write proofs.
  • Text: Linear Algebra by Messer
  • Goals: understanding vector spaces, ability to work in the definition-theorem-proof format, some "mathematical maturity".
  • Evaluation: midterm, final exam, weekly homework, quizzes.
  • Grade Breakdown:
    • homework + quizzes: 30%
    • midterm: 30%
    • final exam: 40%
  • Letter Grades: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60

See also Course policy.


This is a one-semester course in linear algebra and vector spaces. An emphasis is made on the coordinate free analysis. The course mimics in some ways a modern algebra course.

Lecture notes


They will appear exactly as you see them in class and, as the course progresses, will be updated daily.

Full set of lectures at Linear algebra: course


Final exam: Monday May 6, 5 - 7 pm.


Further reading