Fall 2008 Mathematics Electives
- Click on the course number to get a catalogue description.
MA275
Discrete and Combinatorial Algebra I, Periods 3,4,5 MTRF
- Bill Butske, Tanya Jaycay, and Tom Langley
An introduction to enumeration and discrete structures. Elementary mathematical
logic. Permutations, combinations and related concepts. Set theory, relations
and functions on finite sets. Mathematical induction. This courses is part
of a three quarter sequence and is especially helpful in supporting the the
understanding of computer science concepts. (required for CS, CPE and MA).
MA330
Vector Calculus, Period 5 MTRF - Steve Galinaitis
Prerequisite: MA113
Calculus of functions of several variables. Topics include differentiation
(divergence, gradient, curl) and integration (line, and surface integrals).
Green's theorem, Stokes' theorem, and the divergence theorem are also covered.
This course in vector calculus is an excellent companion course to the study
of electromagnetic fields. See course
description page for more
details.
MA354
Problem Solving Seminar, Period 7 W (1 credit) - John Rickert
Prerequisite: Consent of instructor
An exposure to mathematical problems varying widely in both difficulty and
content. Students will be expected to participate actively, not only in the
solution process itself but also in the presentation of finished work, both
orally and in writing. A student may earn a maximum of six credits in MA351-6.
MA371
Linear Algebra I, Period 7 MTRF - Steve Carlson
Prerequisite: MA221 or permission of instructor
Systems of linear equations, Gaussian elimination, and the LU decomposition
of a matrix. Projections, least squares approximations, and the Gram-Schmidt
process. Eigenvalues and eigenvectors of a matrix. The diagonalization
theorem. The singular value decomposition of a matrix. Introduction
to vector spaces. A student cannot take both MA 371 and MA 373 for credit.
MA381
Introduction to Probability with Applications to Statistics (4 credits)
Periods 4, 8, 9 MTRF
- Kurt Bryan, Dave Rader
Prerequisite: MA113
Introduction to probability theory; axioms of probability, sample spaces, and
probability laws (including conditional probabilities). Univariate random variables
(discrete and continuous) and their expectations including these distributions:
binomial, Poisson, geometric, uniform, exponential, and normal. Introduction
to moment generating functions. Introduction to jointly distributed random variables.
Univariate and joint transformations of random variables. The distribution of
linear combinations of random variables and an introduction to the Central Limit
Theorem. Applications of probability to statistics.
MA382 Introduction
to Statistics with Probability (4 credits)
Period 3 MTRF - Mike DeVasher
Prerequisite: MA 381
This is an introductory course in statistical data analysis and mathematical
statistics. Topics covered include descriptive statistics, Sampling distributions
(including the Central Limit Theorem), point estimation, Hypothesis testing and
confidence intervals for both one and two populations, linear regression, and
analysis of variance. Emphasis will be placed on both data analysis and mathematical
derivations of statistical techniques. A computer package will be used for statistical
analysis and simulation. Experimental data from a variety of fields of interest
will also be used to illustrate statistical concepts and facilitate the development
of the student's statistical thinking. A student cannot take both MA 223 and
MA 382 for credit.
See the stats web page for scheduling of statistics
courses.
MA383 Engineering Statistics II (4
credits)
Period 8 MTRF - Mark Inlow
Prerequisite: MA223 or MA382.
As suggested by the name, this course is a follow on to MA223, going into greater depth the fundamental
engineering statistics as well as some new topics. Hypothesis testing, confidence intervals, sample size
determination, and power calculations for means and proportions; two factor analysis of variance (with
and without interactions); analysis of several proportions; confidence and prediction intervals
for estimated values using simple linear regression; Pearson (linear) correlation coefficient; introduction
to multiple regression to include polynomial regression; review of fundamental prerequisite statistics
will be included as necessary.
MA436 Introduction
to Partial Differential Equations (4 credits)
Period 5 MTRF - Jeffery Leader
Prerequisite: Pre MA366
Partial differential equations, elliptic, hyperbolic, and parabolic equations.
Boundary and initial value problems. Separation of variables, special functions.
Eigenfunction expansions. Existence and uniqueness of solutions. Sturm-Louiville
theory, Green's function. For further information contact see this webpage
or email the instructor Jeffery Leader.
MA439 Mathematical
Methods in Image Processing (4 credits)
Period 4 MTRF - Allen Broughton
Prerequisite: MA222
Mathematical methods of image processing such as filtering, filter banks, Fourier
& discrete cosine transforms and wavelet based analysis. Applications such
as image compression and denoising will be studied. For more information see
this webpage.
MA450
Math Seminar TBA (1 credit) Josh Holden
Prerequisite: none
This is a new course is designed to encourage students to attend department
mathematics seminars and make a presentation of their own. Students must
attend nine seminars and make presentation of their own on a topic chosen in
consultation with the instructor. A student will be allowed two consecutive
quarters to complete all requirements.
MA490-01 History of Mathematics (4 credits)
Period 7 MTRF - David Finn
Prerequisite: MA113 or consent of instructor
This is a course in the history of mathematics concentrating on the history
of calculus and the development of the ideas needed for calculus. For further
information contact the instructor David
Finn or see this webpage
MA490-02 Introduction to Scientific Computing(4 credits)
Period 9 MTRF - Cara Brooks
Prerequisite: consent of instructor
This is a first course in scientific computing is aimed at introducing students
to both classical and non-classical numerical methods with an emphasis on implementation
of the methods using Matlab software and applications. For further information
see this webpage
or email the instructor Cara Brooks
MA491 Intro to Mathematical Modeling (2
credits)
Period 4 TF - David Rader
Prerequisite: Senior standing or consent of instructor
This courses is intended for math majors who will be doing a senior project. The project swill have some
sort of math application and MA491 is designed to give the students some background and practice in mathematical
modeling. For more info see this page.
Any questions? Just send me mail.
brought@rose-hulman.edu
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