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: saveliev@marshall.edu
• Class Web-Page: math01.com
• 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.

Description

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.

• Chapter 1a
• Chapter 1b
• Chapter 1c
• Chapter 1d
• Chapter 2a
• Chapter 3a
• Chapter 3b
• Chapter 3c
• Chapter 5a
• Chapter 5b
• Chapter 6a
• Chapter 6b
• Chapter 6c
• Chapter 7a
• Chapter 8a
• Chapter 4a

Full set of lectures at Linear algebra: course

Tests

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

• Linear algebra: midterm
• Linear Algebra -- Spring 2013 -- final exam

Old:

• Linear algebra: exercises
• Linear algebra: homework 1
• Linear algebra: test 1
• Linear algebra: test 2
• Linear algebra: final
• Review exercises

Further reading

• Vector calculus: course
• Group theory: course
• Differential forms: course