## MA 2071Linear Algebra A term 2001

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)

The goals of this course are as follows.
• 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.

### Course Structure

This course meets four times a week for lectures, where the basic concepts will be introduced. There is also one conference section per week. In these sessions you will work in small groups, aided by Pear Learning Assistants or Teaching Assistants. The PLA's and TA are there to facilitate your learning; they are not there to do the homework problems for you.
• 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.

### Material to be covered

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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The translation was initiated by William W. Farr on 2001-08-30

William W. Farr
2001-08-30