ACM 104
Matrix Theory
-
Description:
-
Introduction to fundamental concepts and techniques of
matrix theory.
-
Prerequisite:
-
ACM 100 abc or instructor's permission
-
Syllabus:
- Matrices and determinants
- Linear algebra, theory of linear equations, methods of least squares
- Eigenvalues and eigenvectors of a matrix, Gram-Schmidt orthogonalization,
positive definiteness, simultaneous diagonalization
- Canonical forms
- Variational principles and perturbation theory
- Matrix analysis of differential equations, stability of ordinary
differential equations (perhaps).
-
Instructor:
-
Emmanuel Candes, 311 Firestone emmanuel@acm.caltech.edu
-
Lectures:
-
Now T,Th,F 9--10 am., 102 Firestone
Will be switched later, if possible.
-
Textbooks:
-
1. Joel Franklin "Matrix Theory" Dover (required)
-
2. Gilbert Strang " Linear Algebra and Its Applications" 3rd
ed., Saunders (optional)
-
3. Morris Hirsch and Stephen Smale " Differential Equations,
Dynamical Systems, and Linear Algebra" Academic Press (optional)
-
4. Serge Lang "Introduction to Linear Algebra" Springer Verlag
(optional)
-
Handouts:
-
All handouts given in class will be stored in a binder in Sheila's
office. Sheila's office: 217 Firestone. Sheila is a person you
can contact at any time (between 9:30am and 5pm) if you need
administrative information. Her phone number is 626-395-4560.
-
Instructor's Office Hour:
-
M 2--4, 311 Firestone
-
Class web page:
http://www.acm.caltech.edu/~emmanuel/acm104/index.html
Teaching Assistant and Office Hours:
-
Theofilos Strinopoulos, 214 Firestone, office hours to be determined
(214 Firestone,
theofilos@acm.caltech.edu)
-
Grading:
-
Homework assignments: 60%
-
Homeworks will generally be distributed every Wednesday (assuming
that the lectures are switched to MWF), starting
Wednesday January 10, 2001, and due in class the
following Wednesday.
-
There will be about 7 homeworks, and your worst score will be dropped
for grading.
-
Late homeworks will NOT be accepted for grading (medical emergencies
excepted with proof).
-
Final exam: 40%
-
Open book exam (perhaps a take home), time and location to be announced.
Home | Handouts | Homeworks | Announcements