Math 108B: Advanced Linear Algebra, Winter 2011
Syllabus
Instructor:
Helena McGahagan
Office: South Hall, Room 6507
Email:
helena-A.T.-math.ucsb.edu
Lectures: MWF 2:00-2:50pm, SH 6635
Office Hours:
Tues, Thurs 4:00-5:30pm
Textbook:
Linear Algebra, fourth edition, by Friendberg, Insel, Spence
Optional: Linear ALgebra Done Right, by Axler
Course Description:
This is the second quarter of an upper division linear algebra sequence.
The student
should already be familiar with vector spaces, linear transformations,
matrices, bases, and systems of linear equations. After a review of these
topics, the course will cover determinants; eigenvalues and eigenvectors;
diagonalizability and the Cayley-Hamilton theorem; inner products, norms,
and the Gram-Schmidt process; adjoints; unitary and orthogonal matrices;
and the spectral theorem. Other topics, if time allows, may include the
Jordan canonical form.
Homework and Quizzes:
There will be approximately one problem set each week; the problems will
be posted
on the course website and should be turned in at the beginning of class on
the due date. The lowest homework grade will be dropped from your
average.
Please note that, although discussion of problems is allowed,
the written homework sets you turn in
are to be your own work and reflect your own understanding of the
material.
There will also be four or five short quizzes given in class,
often covering definitions, simple examples, or specific proofs. The
lowest quiz grade may
be replaced by your final grade.
Midterm:
There will be one midterm, tentatively scheduled for
Friday, February 11th. Makeups will be given only for
documented
reasons and only if you
contact me before the exam begins (except in emergencies).
Final Exam:
The final exam will be on
Tuesday, March 15th, from 4-7pm. An incomplete for the course
will be given only for documented medical reasons
or emergencies.
Grading:
Attendance & Participation: %5
Homework & Quizzes: 20% each
Midterm: 25%
Final: 30%