Methods of Applied Mathematics I
Math 601-602 Spring 2009
- Instructor:
Dr. Francis J. Narcowich
- Office: 302 Milner Hall
- E-mail:
fnarc@math.tamu.edu
- Phone: 845-7369
- URL:
/~francis.narcowich/
- Office Hours:
MWF 9:30-10:30, and by
appointment.
- Catalogue Description
- Methods of linear algebra, vector analysis, and complex
variables. PREREQUISITE: MATH 308.
- Time & Place
- MWF 11:30-12:20, BLOC 117.
- Grading
- Homework, 20%
- Two in-class tests, 25% each (Dates: TBA)
- Final Examination, 30% (Wednesday, May 13, 10:30 am - 12:30
pm)
- Texts
- Jim Hefferon, Saint Michael's College,
Linear
Algebra (online text), published via
Open Textbooks Project.
- George Cain and James Herod, Georgia Institute of
Technology,
Multivariable Calculus (online text), published via
Open Textbooks Project.
- Matthias Beck, Gerald Marchesi, and Dennis
Pixton,
A First Course in
Complex Analysis (online text) published via
Open Textbooks Project.
- Instructor's Notes
- Syllabus
- Linear algebra
- Systems of linear equations and matrix operations
- vector spaces, subspaces, important examples
- linear independence, linear dependence, basis, dimension,
coordinates, change of coordinates
- inner products, bi-orthogonal and orthonormal sets, covariant and
contravariant coordinates, Gram-Schmidt, least squares
- linear transformations, eigenvalues, eigenvectors,
diagonalization, applications
- Vector analysis
- scalar and vector valued functions, surfaces
- limits, continuity, gradient, divergence, curl coordinate
independent definitions
- integral calculus Green's Theorem, Divergence Theorem,
Stokes's Theorem
- Complex variables
- Analytic functions Cauchy-Riemann equations; examples:
exponential, log, trig functions, etc.
- Cauchy's Theorem, power series
- Residue Theorem, conformal maps, applications
Make-up Policy: I will give make-ups (or satisfactory
equivalents) only in cases authorized under TAMU Regulations. In
borderline cases, I will decide whether or not the excuse is
authorized. Also, if you miss a test, contact me as soon as possible.
Academic Integrity
-
Copying Course Materials: "All printed
hand-outs and web-materials are protected by US Copyright Laws. No
multiple copies can be made without written permission by the
instructor."
- Aggie Honor
Code: "An Aggie does not lie, cheat, or steal or
tolerate those who do."
Americans with Disabilities Act Policy Statement:
"The Americans with Disabilities Act (ADA) is a federal
anti-discrimination statute that provides comprehensive civil rights
protection for persons with disabilities. Among other things, this
legislation requires that all students with disabilities be guaranteed
a learning environment that provides for reasonable accommodation of
their disabilities. If you believe that you have a disability
requiring an accommodation, please contact the Department of Student
Life, Services for Students with Disabilities, in Room 126 of the
Koldus Building or call 845-1637."