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

# Linear Algebra -- Spring 2013

### From Mathematics Is A Science

**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.

## 1 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.

## 2 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

## 3 Tests

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

Old:

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