Text: Bernard Kolman, Introductory Linear Algebra
Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr
Office Hours: MTThF 9-11, or by appointment
TA: Xuemin Tu, SH 204, E-mail - tuxm
PLAs: Kevin Dickert (kad), Michelle Jennings (mljenn), Yakov Kronrod
(yakov), Pierre De Galbert (pierre), Tim Sutherland (tims)
The goals of this course are as follows.
- Learn to solve linear systems, including overdetermined and
- 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.
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. The PLA's are there to facilitate your learning; they are
not there to do the homework problems for you.
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.
There will be two hour exams during the term. Each will count 25% of
your final grade. Tentative dates are September 14 and October 5.
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
- Week 1
- Linear equations and matrices
- Week 2
- More on linear systems, determinants
Secs. 1.5, 1.6, 2.1,2.2
- Week 3
- Vectors and linear transformations
Secs. 3.1, 3.2, 3.3, 3.6
- Week 4
- Vector spaces, subspaces, linear independence, basis
Secs. 4.1, 4.2, 4.3, 4.4
- Week 5
- Homogeneous systems, rank of a matrix, change of basis
Secs. 4.5, 4.6, 4.7
- Week 6
- Orthonormal bases, Eigenvalues and eigenvectors
Secs. 4.8, 5.1, 5.2
- Week 7
- Overflow and review
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William W. Farr