Spring 2012 Mathematics Electives

Click on the course number to get a catalogue description.
Old DE prereqs are in parenthesis

MA190 Contemporary Mathematical Problems (2 credits)
Period 9 TF - John Rickert
Co-requisite: MA113 Recommended only for freshmen and sophomores, required of freshman math majors
A seminar-style course consisting of an overview of selected contemporary problems and areas in the mathematical sciences. Problems to be discussed will be selected from recent publications in research and applications, famous problems, and outstanding problems of great significance.

MA200 Career Preparation (1 credit)
Period 5 W - Josh Holden
This course is for mathematics majors to be taken in the second year.  The course addresses career choices, summer opportunities, employment and graduate school preparation, and curriculum vitae and resumes preparation.  This course is cross-listed with CHEM 200, PH 200 and SV 200.

MA330 Vector Calculus (4 credits)
Period 3,4 MTRF - Dave Finn
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 web page for more details.

MA336 Boundary Value Problems (4 credits)
Period 7 MTRF - Elton Graves
Prerequisite: MA211, MA212
MA336 is at the heart of classical applied mathematics.  Learning to speak the language of boundary value problems allows you to understand aspects of wave motion, heat transfer, potential theory, and electromagnetics.

MA342 Computational Modeling (4 credits)
Period 6 MTRF - Joe Eichholz
Computational modeling and simulation of scientific problems using Matlab. Students will create and utilize computer-based models to solve practical problems. Monte Carlo methods, linear systems, solution of ODEs.
Please email Professor Eicholz for more details or visit this web page.
Please note that this course is required for the minor in Computational Science.

MA348 Continuous Optimization
Period 7 MTRF - Allen Holder
Please email Professor Holder or visit this web page for more details.
Please note that this course is only offered every second year.

MA367 Functions of a Complex Variable (4 credits)
Period 3 MTRF - Vin Isaia
Prerequisite: MA 212
Elementary properties of analytic functions including Cauchy's theorem and its consequences, Laurent series, the Residue Theorem, and mapping properties of analytic functions.

MA371 Linear Algebra I (4 credits)
Periods 2,8   MTRF - Ralph Grimaldi, Leanne Holder
Prerequisite: MA212 or permission of instructor
Elementary linear algebra. Vector spaces, matrices, systems of equations, linear transformations. Applications. If you are only going to take one math elective, and you have already taken statistics you should probably take this one.

MA375 Discrete and Combinatorial Algebra II (4 credits)
Period 7 MTRF - Bill Butske
Prerequisite: MA 275
A continuation of MA 275. Relations. An introduction to finite state machines. More advanced enumeration techniques including recurrence relations, generating functions and the principle of inclusion and exclusion.

MA376 Abstract Algebra (4 credits)
Period 6 MTRF - Tanya Jajcay
Prerequisite: MA275
An introduction to modern abstract algebra and algebraic structures. Topics include congruence and modular arithmetic; rings, ideals, and quotient rings; fields, finite fields, and subfields; groups and subgroups; homomorphisms and isomorphisms. Other topics may also be introduced according to time and student interest.

MA378 Number Theory (4 credits)
Period 4 MTRF - Bill Butske
Prerequisite: consent of instructor
Divisibility, congruences, prime numbers, solutions of equations in integers, quadratic residues, reciprocity, multiplicative, and other important functions of elementary number theory.

MA381 Introduction to Probability with Applications to Statistics (4 credits) 
Periods 5,6,7 MTRF - Vin Isaia and Tom Langley
Prerequisite: MA 113
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.

MA385 Quality Methods (4 credits)
Period 7 MTRF - Diane Evans
Prerequisite: MA223
Introduction to various aspects of statistical quality control and statistical process control to include the following topics: importance of variance reduction and probability concepts influencing product quality and reliability; development and application of control charts (P-charts, NP-chart, C-charts, U-charts, Individuals Charts, moving range charts, X-bar and R as well as X-bar and S charts); process capability indices (their use and misuse); introduction to acceptance sampling. Other topics to be included as time allows: 6 sigma thinking, gauge reproducibility and repeatability, and total quality management with the philosophies of Deming, Juran, and Crosby. Review of fundamental prerequisite statistics will be included as necessary.

MA386 Statistical Programming (4 credits)
Period 2 MTRF - Mark Inlow
Prerequisite: consent of instructor
For further information contact the instructor Professor Inlow or visit this web page.
Please note that this is only offered every second year.

MA387 Statistical Methods in Six Sigma (4 credits)
Period 9 MTRF - Diane Evans
Prerequisite: MA223 or MA382
A course on statistical methods used in the Six Sigma /DMAIC (Define, Measure, Analyze, Improve, Control) paradigm.  Topics will include, but are not limited to, gauge repeatability and reproducibility, control charts, regression, design of experiments, and response surface optimization.

MA445 Stochastic Models in Operations Research   (4 credits)
Period 7 MTRF - Dave Rader
Prerequisite: MA 223 or MA 381
Introduction to stochastic mathematical models and techniques that aid in the decision-making process. Topics covered include a review of conditional probability, discrete and continuous Markov chains, Poisson processes, queueing theory (waiting line problems), and reliability.
See course description page for more details.
Please note that this is only offered every second year.

MA450 Math Seminar (1 credit) 
Period 4 W - Allen Broughton
Prerequisite: none
This 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

MA460 Topics in Analysis (4 credits)
Period 9 MTRF - Kurt Bryan
Prerequisite: instructor permission
See course information page for more details or email Professor Bryan for more details.

MA461 Topics in Topology - Algebraic Topology (4 credits)
Period 3 MTRF - Zhixu Su
Prerequisite: MA 366 or consent of instructor
Introduction to selected topics from point-set topology or algebraic topology from a rigorous point of view. Possible topics include metric spaces, general topological spaces, compactness, connectedness, separation axioms, compactification and metrization theorems, homotopy and homology, and covering spaces. Intended for mathematics majors planning to pursue graduate studies in mathematics.
Please course information page for more details or email Professor Su for more details.
Please note that this course is offered infrequently.

MA471 Linear Algebra II
Period 7 MTRF - Jeff Leader
Prerequisite: MA 371 or 373
A study of the algebraic and geometric structure underlying linear transformations on Rⁿ and Cⁿ. Topics will include the diagonalization theorem for Hermitian matrices, the Jordan canonical form, and the singular value decomposition.
See course information page for more details.
Please note that this is only offered every second year.

MA475 Topics in Discrete Mathematics  (4 credits)
Period 6 MTRF - Ralph Grimaldi
Prerequisite: MA 375
An extension of the material presented in MA275 and 375. Topics may include combinatorial design, Fibonacci numbers, or the Probabilistic Method, among others.
Please email Professor Grimaldi for more details.
Please note that this course is offered infrequently.

MA477 Graph Theory (4 credits)
Period 9 MTRF - Tom Langley
Prerequisite: MA 375 or consent of instructor
An introduction to the theory and applications of directed and undirected graphs. Possible topics include the following: Connectivity, subgraphs, graph isomorphism, Euler trails and circuits, planarity and the theorems of Kuratowski and Euler, Hamilton paths and cycles, graph coloring and chromatic polynomials, matchings, trees with applications to searching and coding, and algorithms dealing with minimal spanning trees, articulation points, and transport networks. More detail at this web page.
Please note that this is only offered every second year.

MA479/CSSE479 Cryptography (4 credits)
Period 8 MTRF - Josh Holden
Prerequisite: CSSE220 and MA215
Please email Professor Holden for more details.

MA482/BE482 Bioengineering Statistics (4 credits)
Period 5 MTRF - Allen Broughton
Prerequisite: MA223 or MA382
Hypothesis testing and confidence intervals for two means, two proportions, and two variances. Introduction to analysis of variance to include one factor and two factors (with interaction) designs. Presentation of simple linear and multiple linear regression modeling; development of analysis of contingency table to include logistic regression. Presentation of Log odds ratio as well as several non-parametric techniques of hypothesis testing and construction of non-parametric confidence intervals and correlation coefficients. Review of fundamental prerequisite statistics will be included as necessary. Same as BE 482.
Please contact  Professor Broughton for more details
Please note that this is only offered every second year.

MA490 Topics in Mathematics - Biomathematics (4 credits)
Period 8 MTRF - David Goulet
Prerequisite: MA212
See course information page for more details, or email Professor Goulet for more details.
Please note that this course is being offerd for the first time.

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