Computational Science and Applied Math
Courses for Spring 1998
Math 417 Complex Analysis with Applications
Time Table:
Time=9am MWF Room=311 AH Call=61243
Instructor=TBA
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.
MCS 471 Numerical Analysis
Time Table:
Time=2pm MWF Room=306 AH Call=62255
Instructor=Hanson
Catalog description:
Introduction to numerical analysis; floating point arithmetic,
computational linear algebra, iterative solution to nonlinear
equations, iterpolation, numerical integration, numerical solution
of ODEs, computer subroutine packages (including Maple and
Matlab/Octave).
Prerequisites:
A grade of C or better in MCS 360 Structured Programming II or EECS
270 Introduction to Programming languages or MCS190 Introduction
to Scientific Computing or EECS 170 Fortran Programming for Engineers
or MCS 260 Introduction to Computer Science I or EECS 171 Introduction
to Programming. 3U4G hours.
Core Course:
Mathematical Computer Science Master's Program and Examination.
Target Audience:
Students in Mathematics, Computer Science and Natural Sciences.
Class Web Page:
http://www.math.uic.edu/~hanson/mcs571syllabus.html
Math 481 Applied PDE
Time Table:
Time=2pm MWF Room=320 TH Call=61300
Instructor=Ramanathan
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:
Time=11am MWF Room=309 TH Call=61311
Instructor=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 581 Physical Principles of Applied Mathematics II
Time Table:
Time=10am MWF Room=208 TH Call=00779
Instructor=Berger
Catalog description:
Development of concepts and techniques basic to key mathematical
models of physical phenomena, dynamic problems in elasticity, fluids,
nonlinear wave propagation, group speed and velocity.
function spaces to problems in applied mechanics and engineering.
Banach space, Hilbert space, spectral theory, eiginfunction expansions,
calculus of variations.
4G hours.
Prerequisites:
Math 580 Physical Principles of Applied Mathematics I
or consent of the instructor.
Core Course:
Mathematical Sciences Cluster of Applied Mathematics Program.
Target Audience:
Students in Mathematics, Science, and Engineering.
Math 590 Introduction to Mathematical Fluid Dynamics:
with applications to physical phenomena
Time Table:
Time=2pm MWF Room=302 AH Call=00798
Instructor=Friedlander
Catalog description:
Advanced Topics in Applied Mathematics.
The world we live in is predominantly fluid--the air that surrounds us,
the oceans that cover much of the surface of the Earth, even the core of the
Earth has a large fluid (molten iron) component. From small scale problems,
such a flow of a liquid in a pipe, to large scale problems such as the ocean
current phenomenon called "el Nino", the basic motion of fluids are governed
by mathematical equations. We will give an introduction to the Euler equations
and the Navier-Stokes equations that govern fluid motion. We will describe
properties of these equations are show why they are mathematically challenging
and interesting. Topics to be covered include wave phenomena and stability
problems; rotating and stratified fluids with applications.
Prerequisites:
Some knowledge of vector calculus and differential equations.
The pace of the course will be adjusted to the background of the students.
Lecture notes will be given to the students.
Consent of instructor.
Target Audience:
Students in Mathematics and Natural Sciences.
Math 590 Advanced Topics in Applied Mathematics: Risk Models
Time Table:
Time=5:00pm-7:40pm W Room=302 AH Call=00802
Instructor=Ramanathan
Description:
This course will follow the syllabus of the Society of Actuaries course 151.
Topics will include: Utility theory; Individual risk models for short term;
Collective risk modeld for single period; Collective risk models over an
extended period; Application of risk theory.
Prerequisites:
Stat 401 or equivalent or consent of instructor.
Textbook:
Actuarial Mathematics, Second Edition, by N. L. Bowers, Jr., et al. (S.O.A.)
Target Audience:
Students in Business, Mathematics and Natural Sciences.
MCS 590 Topics in Computer Science:
Industrial Mathematics Problem Solving
Time Table:
Time=1pm MWF Room=311 AH Call=62396
Instructor=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.
Target Audience:
Mathematically Oriented Students in Mathematics, Computer Sciene, Engineering
and Sciences.
Class Web Page:
http://matisse.eecs.uic.edu/MCS590-Fall97.html
Web Source:
http://www.math.uic.edu/~hanson/CSAM-S98Courses.html