Computational Science and Applied Math
Courses for Spring 1997
Math 417 Complex Analysis with Applications
Time Table:
9 M W F 117 TH 58608 Ramanathan
Catalog description:
Complex numbers, analytic functions, complex integration, Taylor
and Laurent series, residue calculus, branch cuts, conformal mapping,
argument principle, Rouche's theorem, Poisson integral formula,
analytic continuation. 3U4G hours.
Prerequisites:
Grade C or better in Math 210.
Target Audience:
Students in Mathematics, Physics, and Engineering.
Math 481 Applied PDE
Time Table:
2 M W F 320 TH 58677 Knessl
Catalog description:
Initial value and boundary value problems for second order linear
equations. Eigenfunction expansions and Sturm-Liouville theory.
Green's functions. Fourier transform. Characteristics. Laplace
transform. 3U4G hours
Prerequisites: Grade of C or better in Math 480, or
Math 220 with consent of instructor.
Target Audience:
Students in Mathematics, Physics, Engineering and Computer Science.
Math 494 Mathematical Biology
Time Table:
12 M W F 303 AH 96497 Tier
Catalog description:
The purpose of the course will be to illustrate
the growing interaction between mathematics and the biological
sciences. Mathematical models of biological and medical systems
will be developed and studied. Problems will be selected from
conservation biology, cancer therapy, epidemiology, drug treatment,
and neuroscience. Additional topics will be chosen from the areas
of interest of the students. Mathematical
ideas will be introduced as needed in the context of the
specific models.
3U4G hours.
Prerequisites:
Math 180 - Calculus or consent of instructor.
Target Audience:
Students in Biology, Mathematics, Computer Science, Pre-Medicine.
Class Web Page:
http://www.math.uic.edu/~tier/M494/index.html
Math 573 Methods in Applied Mathematics
Time Table:
11 M W F 208 TH 09501 Barston
Catalog description:
Applications of theory of integral and differential operators on
function spaces to problems in applied mechanics and engineering.
Banach space, Hilbert space, spectral theory, eiginfunction expansions,
calculus of variations.
4G hours.
Prerequisites:
Grade of C or better in Math 310 Applied Linear Algebra
and Math 410 Advanced Calculus I or consent of the instructor.
Core Course:
Mathematical Sciences Cluster of Applied Mathematics Program and
required course for the MS in Applied Mathematics.
Target Audience:
Students in Mathematics, Science, and Engineering.
MCS 563 Analytic Symbolic Computation
Time Table:
10 M W F 321 TH 96406 Berger
Catalog description:
Analytic computation, including integration algorithms, differential
equations, perturbation theory, mixed symbolic-numeric algorithms
and other related topics. 4G hours.
Prerequisites:
Calculus, ODE, Linear Algebra, basic programming skills or
consent of instructor.
Core Course:
Computational Science Cluster of Mathematical Computer Science Program.
Target Audience:
Students in Mathematics, Computer Science and Natural Sciences.
Class Web Page:
http://babe.math.uic.edu/~berger/M563/
MCS 571 Numerical Methods for PDEs
Time Table:
12 M W F 320 TH 59806 Hanson
Catalog description:
Finite difference methods for parabolic, elliptic and hyperbolic
differential equations: explicit, Crank-Nicolson implicit, alternating
directions implicit, Jacobi, Gauss-Seidel, successive over-relaxation,
conjugate gradient, Lax-Wendroff, Fourier stability. 4G hours.
Prerequisites:
Graduate standing AND MCS 471 Numerical Analysis AND
Math 481 Applied Partial Differential Equations
OR Math 220 with consent of the instructor.
Core Course:
Computational Science Cluster of Mathematical Computer Science Program.
Target Audience:
Students in Mathematics, Computer Science and Natural Sciences.
Class Web Page:
http://www.math.uic.edu/~hanson/mcs571syllabus.html
MCS 590 Topics in Computer Science:
Industrial Mathematics Problem Solving
Time Table:
1 M W F 320 TH 09499 Grossman
Catalog description:
This course is centered around one or more "industrial" problems.
The goal of the course is to provide an opportunity for students
to use mathematics to work on problems arising from industrial
applications. The course will cover: mathematical modeling, problem
formulation, problem analysis, problem solution, developing software
to implement the solution, validating the software, analyzing the
results, documenting the problem and its solution, and communicating
the results. 4G hours.
Prerequisites: Prior course work in algorithms applied
mathematics, and C programming, or consent of instructor
Core Course:
Mathematical and Information Sciences for Industry (MISI) proposed program.
Class Web Page:
http://matisse.eecs.uic.edu/MCS590-Spring97.html
Web Source:
http://www.math.uic.edu/~hanson/CSAM-S97Courses.html