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, GramSchmidt 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 910 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 6263954560.

Instructor's Office Hour:

M 24, 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.
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