Text: Bernard Kolman, Introductor Linear Algebra
Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr
Office Hours: MTThF 9-11, or by appointment
TA: Elena Volkova, SH 205, E-mail - lvolkova
Office Hours: W 1-3
PLAs: Jeremy Proulx (zear), Jen Hardy (jehardy), Joseph Laws
(cinnamon),
Jen Marinello (jmari), Adam Howes (ahowes), Kevin Dickert (kad),
Sharad Bhojnagarwala (sharad)
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.
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 Peer Learning
Assistants. The PLA's 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 not be collected this term, instead we will
have weekly quizzes covering the homework material.
- Quizzes
Every Friday (except 8-28) we will have a 25 minute quiz covering the
homework material for the week. The lowest quiz score will be
dropped and the 5 remaining quiz scores will each count as 8% of your
final grade, for a total of 40%.
- Projects
There will be 5 projects this term, each counting for 8% of your
final grade. sections. You will work in groups of three on the
projects and hand in a single report.
- Exam
There will be a comprehensive final exam in the last week if the
course, probably on Tuesday. This exam will count as 20% 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, 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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