Text: Bernard Kolman, **Introductory Linear Algebra**

Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr

Office Hours: MTThF 9-11, or by appointment

TA: Pam Gao, SH 204, E-mail - pamgao

PLAs: Yakov Kronrod (yakov), Pierre De Galbert (pierre), Tim Sutherland (tims)

John Waymouth (waymouth), Iavor Trifonov (trifonov), Dena Files (sophie)

- Learn to solve linear systems, including overdetermined and underdetermined systems
- Learn how to apply linear systems to problems from various disciplines
- Learn the basic properties of vector spaces

Linear algebra is an essential part of the mathematics, science and engineering disciplines. The material in this course will be very important in your future studies.

**Homework**

The suggested homework problems are listed on the course web page. Completing these exercises is essential to your mastery of the material. Homework will be collected each week in conference and selected problems will be graded. Homework scores will count as 15% of your final grade.**Exam**

There will be two hour exams during the term. Each will count 25% of your final grade. Tentative dates are September 13 and October 4. There will also be a comprehensive final exam in the last week of the course, probably on Tuesday. This exam will count as 35% of your final grade.

**Week 1**- Linear equations and matrices

Secs. 1.1-1.4 **Week 2**- More on linear systems, determinants

Secs. 1.5, 1.6, 3.1 **Week 3**- Vectors and linear transformations

Secs.4.1, 4.2, 4.3, 5.3 **Week 4**- Vector spaces, subspaces, linear independence, basis

Secs. 6.1, 6.2, 6.3, 6.4 **Week 5**- Homogeneous systems, rank of a matrix, change of basis

Secs. 6.5, 6.6, 6.7 **Week 6**- Orthonormal bases, Eigenvalues and eigenvectors

Secs. 6.8, 8.1, 8.2, 8.3 **Week 7**- Overflow and review

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2001-08-30