Undergraduate Courses
| MATH-099 COLLEGE ALGEBRA LAB |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 |
|
College Algebra Lab (1) A laboratory program required for students in
designated sections of MATH 101. The program will supplement class
instruction. Other activities may include viewing videos on algebra topics
and the use of graphing calculators. Applications of algebra topics will be
explored. The credit hour earned in this lab may not be applied toward degree
requirements.
Co-requisite: MATH 101
|
| MATH-101 COLLEGE ALGEBRA |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
College Algebra (3) A course that emphasizes algebraic functions. Topics
include algebraic equations and inequalities, and the properties and graphs of
algebraic functions.
NOTE: Credit hours earned in this course may not be applied toward minimum
degree requirements in mathematics/logic. Students who have completed
Math 105, 111, and 120 may not subsequently receive credit toward graduation
for Math 101.
|
| MATH-102 TRIGONOMETRY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Trigonometry (3) A course emphasizing the circular functions and their
analytic properties. Topics include graphs of the trigonometric functions,
identities, trigonometric equations, inverse trigonometric functions,
logarithms, and the solution of triangles.
NOTE: Credit hours earned in this course may not be applied toward minimum
degree requirements in mathematics/logic. Students who have completed MATH 111
or 120 may not subsequently receive credit toward graduation for MATH 102.
|
| MATH-103 CON MATH WITH APPL |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Contemporary Mathematics with Applications (3)
A course designed to introduce students to a variety of mathematical topics and applications. Topics include mathematical logic, counting methods and combinatorics, axioms and applications of probability and conditional probability. Additional topics will be selected by the instructor and may include topics from graph theory, set theory, voting and apportionment, geometry, financial mathematics, and management science. The course is primarily intended for students who are not planning to take more advanced mathematics courses.
Prerequisite: MATH 101 or placement.
|
| MATH-104 ELEMENTARY STATISTICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Elementary Statistics (3) Probability concepts, descriptive statistics,
binomial and normal distributions, confidence intervals, and tests of
hypotheses.
Prerequisite: MATH 101 or placement.
|
| MATH-105 CALC FOR BUS & SOC SCIEN |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Calculus for Business and the Social Sciences (3) A one-semester course
designed to introduce the basic concepts of calculus to students who are not
majoring in mathematics or the natural sciences. Emphasis will be on
applications of calculus to various disciplines. Not intended for those who
plan to take additional calculus courses.
Prerequisite: MATH 101 or placement.
NOTE: Students may not receive credit toward graduation for both MATH 105 and
MATH 120.
|
| MATH-111 PRE-CALCULUS MATHEMATICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
4.00 |
|
Pre-Calculus Mathematics (4) A course that emphasizes the function concept.
Topics include graphs of functions, the algebra of functions, inverse
functions, the elementary functions, and inequalities. F, S, Su
NOTE: Students who complete MATH 120 may not subsequently receive credit toward
graduation for Math 111.
Prerequisite: Placement or MATH 101.
|
| MATH-115 CALCULUS BRIDGE |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
2.00 |
|
Calculus Bridge (2) Course topics will include a trigonometry review, limits
and continuity, derivatives of trigometric functions, the Mean Value theorem,
Riemann sums, integration by substitution, and the calculus of logarithmic and
exponential functions. Successful completion of this course allows students
to proceed to MATH 220.
Prerequisite: This course is available only to students who have completed
MATH 105 with a grade of "A" in the previous year.
NOTE: Students may not receive credit toward graduation for both MATH 111 and
MATH 120.
|
| MATH-120 INTRODUCTORY CALCULUS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
4.00 |
|
Introductory Calculus (4)
This introductory calculus course for students in mathematics and the natural sciences includes the calculus of algebraic, trigonometric, exponential, and logarithmic functions. Topics will include limits and continuity, derivatives, the Mean Value Theorem, applications of derivatives, the Riemann integral, and the Fundamental Theorem of Calculus. A thorough knowledge of precalculus concepts will be assumed.
Prerequisite: MATH 111 or its equivalent.
|
| MATH-121 INTRODUCTORY CALCULUS LABORATORY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 |
|
Introductory Calculus Laboratory (1)
Laboratory to accompany MATH 120. Students will be introduced to using modern computer algebra systems implemented on digital computers to develop a deeper understanding of calculus concepts and applications. The topics covered will closely follow those of MATH 120: limits, derivatives, integrals, and the fundamental theorem of calculus.
Co-requisite or Prerequisite: MATH 120.
|
| MATH-140 INTUITIVE GEOMETRY/TCHER |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Intuitive Geometry for Teachers (3) This is a course in geometry designed
primarily for the elementary and middle school teacher. Topics include sets,
basic concepts of geometry, the metric system, perimeter, area, and volume.
Emphasis will be placed on problem solving. Some parallel reading on math
education will be required.
NOTE: Credit hours earned in this course may not be applied toward minimum
degree requirements in mathematics/logic.
|
| MATH-203 LINEAR ALGEBRA |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Linear Algebra (3) Systems of linear equations, vector spaces, linear
dependence, bases, dimension, linear mappings, matrices, determinants, and
quadratic forms. F, S, Su
Prerequisites: MATH 220 or MATH 120 with permission of instructor.
|
| MATH-207 DISCRETE STRUCTURES I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Discrete Structures I (3) Theoretical concepts applicable to the theory of
computing. Topics covered will be from the areas of: formal logic and proofs,
sets, matrix algebra, relations and functions, recurrence relations, and graph
theory.
Prerequisite: MATH 105, 111 or 120.
|
| MATH-216 INTRO PROB & STATISTICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Introduction to Probability and Statistics (3) Emphasis will be on statistical
testing and inference, with insight into the variety of applications of
statistics. Students will have an opportunity to select problems from an area
of their interest. Topics will include probability, random variables,
important probability distributions, sampling distributions, point and
interval estimation, hypothesis testing, regression, correlation, and analysis
of variance. F, S
Prerequisite: MATH 111 (MATH 120 recommended).
NOTE: Students may not receive credit toward graduation for both MATH 250 and
math 231.
|
| MATH-220 CALCULUS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
4.00 |
|
Calculus II (4)
The continuation of MATH 120, covering techniques and applications of integration, parametrized curves and polar coordinates, infinite sequences and series, power series and Taylor's Theorem.
Prerequisite: MATH 120 or both 105 and 115.
|
| MATH-221 CALCULUS III |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
4.00 |
|
Calculus III (4) Geometry of two- and three-dimensional spaces, limits and
continuity of functions of several variables, vector-valued functions, partial
derivatives, directional derivatives, Lagrange multipliers, multiple
integrals, line integrals, Green's theorem, and surface integrals. F, S
Prerequisite: MATH 220.
|
| MATH-245 NUMERICAL METHODS AND MATH. COMP |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Numerical Methods and Mathematical Computing (3) Mathematical methods for
computing numerical and symbolic solutions to various problems will be studied,
together with computer software for applying these methods, both interactively
and by writing programs. Topics covered will include the effects of rounding
and error in machine arithmetic, methods for finding roots, numerical
differentiation and integration, and approximation of functions.
Prerequisites: MATH 203, 220 or Permission of instructor and prerequisite or
corequisite of MATH 246.
|
| MATH-246 MATH COMPUTING & PROGRAMING LAB |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 |
|
A laboratory course intended to accompany MATH 245. Students will be
introducedto a modern software environment for interactive mathematical
computation and programming. Laboratory exercises designed to be completed
within the structured 150-minute laboratory period will be assigned each week.
Additional programming assignments to be completed outside of the laboratory
will also be given. Laboratory three hours per week. Prerequisites: Math
220, Calculus II, or permission of the instructor.
|
| MATH-250 STATISTICAL METHODS I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Statistical Methods I (3) Topics covered include descriptive statisitcs,
probablitiy, probability distributions, estimation, hypothesis testing,
correlation, simple linear regression. Statistical quality control, analysis
of variance, and other topics will be introduced as time permits. A
statistics software package will be used.
Prerequisites: MATH 111, MATH 120, or permission of the instructor.
|
| MATH-260 MATH MODELING & PUBLC DECISN |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Mathematical Modeling and Public Decision-Making (3) This is an introductory
course in basic mathematical concepts and models that can be applied to the
decision making process in the public sector. Both continuous and discrete
models will be examined. Topics will be chosen from the following: linear
programming, growth processes, utility analysis, graph theory, game theory,
group decision making and Arrow's impossibility theorem, coalition formation,
and voting behavior.
Prerequisites: MATH 104 and 105 or equivalent.
|
| MATH-290 TOPICS IN INTRO MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics in Introductory Mathematics (3) This course focuses on a topic of
intermediate-level mathematics. Possible topics are: foundations of
mathematics, graph theory, combinatorics, non-parametric statistics, and
elementary number theory.
Prerequisite: Permission of the instructor.
|
| MATH-295 INTRO TO ABSTRACT MATHEMATICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
An Introduction to Abstract Mathematics (3) This course is intended to provide
a transition from the calculus sequence to more advanced courses requiring an
ability to do proofs. Topics include elementary propositional logic, set
theory, mathematical induction, functions, and relations. F, S
Prerequisite: MATH 203 or 221
|
| MATH-303 ABSTRACT ALGEBRA I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Abstract Algebra I (3) An introduction to algebraic structures. Topics will
include groups, rings, and fields. F, S
Prerequisites: MATH 203 and 295.
|
| MATH-305 ELEMENTARY NUMBER THEORY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
An introduction to number theory, including divisibility, primes, the
fundamental theorm of arithmetic, arithmetic functions, and congruences.
Additional topics from these areas, as well as diophantine equations and the
theory of real numbers will be included as time permits. Designed to extend
the student's abilities to read mathematics and write proofs. Prerequisites:
MATH 295 or consent of the instructor.
|
| MATH-307 DISCRETE STRUCTURE II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Discrete Structures II (3) A continuation of MATH 207, including topics from
combinatorics and probability, algebraic structures (such as Boolean algebras,
semigroups and groups), automata, and languages. S
Prerequisite: MATH 203 or 207.
|
| MATH-311 ADVANCED CALCULUS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Advanced Calculus I (3)
The theoretical underpinnings of the calculus of functions from R to R. Topics will include sequential limits, the completeness of R and related theorems (Heine-Borel, Bolzano-Weierstrauss, etc.), function limits, continuity and uniform continuity, differentiability, Riemann integrability, and the Fundamental Theorem of Calculus.
Prerequisites: MATH 221 and 295.
|
| MATH-320 HISTORY OF MATHEMATICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
History of Mathematics (3) Number systems, historical problems of geometry,
development of modern concepts in algebra, analytic geometry, and calculus.
S
Prerequisite: Junior class standing.
|
| MATH-323 DIFFERENTIAL EQUATIONS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Differential Equations (3) An introductory course designed to acquaint
students with methods used in computing and analyzing the quantitative and
qualitative behavior of solutions of ordinary differential equations.
Applications of ordinary differential equations will also be discussed. Among
the topics to be covered are: first-order and higher-order linear equations,
simple numerical methods, the Laplace transform, eigenvalue techniques,
systems of equations, and phase plane analysis. F, S, Su
Prerequisites: MATH 221 and either 203 or permission of the instructor.
|
| MATH-340 AXIOMATIC GEOMETRY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Axiomatic Geometry (3) An axiomatic development of Euclidean geometry, with
topics from non-Euclidean geometry and projective geometry as time allows. F
Prerequisites: MATH 203, 220, 295, or permission of instructor.
|
| MATH-350 STATISTICAL METHODS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Statistical Methods (3) Statistical methods with topics selected from
regression, correlation, analysis of variance, non-parametric statistics, and
other models. S
Prerequisites: MATH 120 and MATH 250.
|
| MATH-399 TUTORIAL |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Tutorial (3, repeatable up to 12) Individual instruction given by a tutor in
regularly scheduled meetings (usually once a week).
Prerequisites: Junior standing, plus permission of the tutor and the department
chair.
|
| MATH-401 INTRO TO POINT SET TOPOLOGY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Introduction to Point Set Topology (3) Introductory concepts, topologies and
topological spaces, functions, continuity, homeomorphisms, connected spaces,
compact spaces, and applications of topology in analysis.
Prerequisite: MATH 311.
|
| MATH-403 ABSTRACT ALGEBRA II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Abstract Algebra II (3) This course is a continuation of MATH 303. Topics
will be chosen from rings, fields, ideals, factor rings, extension fields,
automorphisms, and Galois Theory. F
Prerequisite: MATH 303.
|
| MATH-411 ADVANCED CALCULUS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Advanced Calculus II (3)
The sequel to MATH 311, intended to prepare students for graduate study in measure theory and other analysis. Topics may include topological concepts in Rn, the calculus of multivariate and vector-valued functions, power series and uniform convergence, the Weierstrauss Approximation Theorem, and generalizations of the Riemann integral.
Prerequisite: MATH 203 and 311.
|
| MATH-415 COMPLEX ANALYSIS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Complex Analysis (3) The complex number system, analytic functions,
integration, power series, residue theory, analytic continuation, and
conformal mapping.
Prerequisite: MATH 311.
|
| MATH-417 READING AND RESEARCH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 TO 3.00 |
|
Reading and Research (1-3) Directed reading in mathematics. Open to qualified
seniors with permission of the Department of Mathematics. A student may take t
this course for one or two semesters, earning one to three hour credit each
semester. Credit value in each case will be determined by the type of problem
considered.
Prerequisite: MATH 317
|
| MATH-418 READING AND RESEARCH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 TO 3.00 |
|
Directed reading in mathematics. Open to qualified seniors with permission of
the Department of Mathematics. A student may take this course for one or two
semesters, earning one to three hours credit each semester. Credit value in
each case will be determined by the type of problem considered.
Prerequisite: MATH 317.
|
| MATH-421 VECTOR AND TENSOR ANALYSIS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Vector and Tensor Analysis (3) A systematic development of the differential
and integral calculus of vector and tensor functions, followed by a brief
introduction to differential geometry and the mathematics of theoretical
physics. S
Prerequisite: MATH 311.
|
| MATH-423 INTRO PARTIAL DIF EQUATIONS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Introduction to Partial Differential Equations (3) Study of heat, potential,
and wave equations in rectangular, polar, and cylindrical coordinate systems.
Separation of variables and eigenfunction expansion techniques.
Sturm-Louisville Theory. F
Prerequisites: MATH 221 and 323.
|
| MATH-450 DISCRETE MATH MODELS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Discrete Mathematical Models (3) An introduction to the theory and practice of
building and studying discrete mathematical models for real-world situations
encountered in the social, life, and management sciences. Mathematics related
to graph theory, game theory, Markov chains, combinatorics, difference
equations, and other topics will be developed as needed to study the models.
oS
Prerequisites: MATH 203, either MATH 250 or 350, and CSCI 220, or permission of
the instructor.
|
| MATH-451 LINEAR PROG AND OPTIMIZ |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Linear Programming and Optimization (3) An introduction to deterministic
models in operations research. Topics include linear programming, network
analysis, dynamic programming, and game theory. oF
Prerequisites: MATH 203, 221, and CSCI 220, or permission of the instructor.
|
| MATH-452 OPERATIONS RES |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Operations Research (3) An introduction to probabilistic models in operations
research. Topics include queueing theory, applications of Markov chains,
simulation, integer programming, and nonlinear programming. eS
Prerequisites: MATH 203, 530 and CSCI 220.
|
| MATH-460 CONTINUOUS MATH MODELS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Continuous Mathematical Models (3) An introduction to the theory and practice
of building and studying continuous mathematical models for real-world
situations encountered in the physical, social, life, and management sciences.
Particular emphasis will be placed on models that arise in such fields as
economics, population growth, ecology, epidemiology, and energy conservation.
Advanced topics in differential equations and integral equations will be
developed as needed to study the models. eS
Prerequisites: MATH 203, 323, either 216 or 350, and CSCI 220, or permission of
the instructor.
|
| MATH-480 TOPICS IN APPLIED MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics in Applied Mathematics (3) A semester course on an advanced topic in
applied mathematics.
Prerequisite: Permission of the instructor.
NOTE: Since the content changes, this course may be repeated for credit.
|
| MATH-485 TOPICS IN PURE MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics in Pure Mathematics (3) A semester course on an advanced topic in pure
mathematics.
Prerequisite: Permission of the instructor.
NOTE: Since the content changes, this course may be repeated for credit.
|
| MATH-490 PRACTICUM IN MATHEMATICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Practicum in Mathematics (3) This course is intended to give students
real-world experiences in applications of mathematics through internships,
case studies, or projects undertaken by small groups of students under faculty
supervision or the joint supervision of a faculty member and an industrial
mathematician. It is the student's responsibility to submit a written
practicum proposal to the Applied Mathematics Committee in the semester prior
to that in which the practicum is to be done (normally in the senior year).
Reports will be submitted by the students describing and analyzing their
internships or projects. S
Prerequisites: Senior standing and permission of the instructor and department
chair.
|
| MATH-495 CAPSTONE IN MATHEMATICS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Capstone in Mathematics (3) Review of the core curriculum and foundations of
mathematics. Readings will be taken from advanced texts, surveys, and student
oriented journals. Emphasis on presentation of mathematics both orally and in
writing. Weekly written assignments, a term paper, and at least one oral
presentation are required.
Prerequisites: Senior standing and permission of the instructor and department
chair.
|
| MATH-499 BACHELOR'S ESSAY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Bachelor's Essay (6) A year-long research and writing project done during the
senior year under the close supervision of a tutor from the department. The
student must take the initiative in seeking a tutor to help in both the design
and the supervision of the project. A project proposal must be submitted in
writing and approved by the department prior to registration for the course.
Prerequisite: Senior class standing and permission of instructor and permission
of department chair.
|
Also be sure to look at the Online
Resources for students where you will find other useful
information.
Graduate courses
| MATH-502 ADV LINEAR ALGEBRA |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
This course provides the
background in linear algebra needed for advanced work in algebra, analysis,
and applications. Topics include vector spaces over a field, dual spaces,
bilinear functions, linear transformations, determinants, eigenvalues,
projections, diagonalization, Jordan canonical form, and infinite dimensional
spaces. Special topics such as applications to approximation theory, positive
matrices, computation, multilinear algebra, and spectral theory will be
selected by the instructor.
Prerequisite: MATH 203 (Linear Algebra). F |
| MATH-503 APPLIED ALGEBRA I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course introduces basic
concepts of abstract algebra and its applications. Topics include
sets, relations, functions; introduction to graphs; group theory, LaGrange's
theorem, the homomorphism theorems, applications to coding theory and connections
with graph theory; Boolean algebra, with applications to combinatorial
circuits. Prerequisites: MATH 303 (Abstract Algebra).
oSu, eS
|
| MATH-511 REAL ANALYSIS I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics include set theory
and metric spaces, topological properties, local and uniform convergence
criteria, properties of continuous functions, and differentiation of vector
valued functions. Prerequisites: MATH 411 (Advanced
Calculus II). F
|
| MATH-515 COMPLEX VARIABLES |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics to be covered include
the complex number system, analytic and harmonic functions, power series,
integration, residue theory, analytic continuation, conformal mapping and
applications. Prerequisites: MATH 311 (Advanced Calculus
I), MATH 411 (Advanced Calculus II) recommended.
|
| MATH-523 PARTIAL DIFFERENTIAL EQUAT I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
This course is
designed to provide first-year graduate students with an understanding
of, and the ability to solve some of the partial differential equations
arising in science and engineering.
Prerequisite: MATH 221 (Calculus III) and Math 323 (Differential
Equations). eF
|
| MATH-530 MATHMATICAL STATISTIC I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Mathematical Statistics I (3) Probability, probability functions, probability
densities, mathematical expectation, sums of random variables, and sampling
distributions.
Prequisite: Undergrads need instructor permission.
|
| MATH-531 MATH STATISTICS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Mathematical Statistics II (3) Decision theory, estimation, hypothesis
testing, regression, correlation, and analysis of variance. S
Prerequisite: Undergrads need instructor permission.
|
| MATH-545 NUMERICAL ANAL I |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Numerical Analysis (3) Topics include numerical methods for solving ordinary
differential equations, direct methods and iterative methods in numerical
linear algebra, and selected topics in functions of several variables. oS
Prerequisites: Undergrads need instructor permission.
|
| MATH-551 LINEAR PROGRMNG & OPTIMIZTN |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
| MATH-552 OPERATIONS RESEARCH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
This course is designed to provide
first-year graduate students with an introduction to probabilistic models
in operations research. Topics include nonlinear programming, queuing theory,
Markov chains, simulation, and integer programming.
Prerequisites: MATH 221 (Calculus III), MATH 530 (Mathematical
Statistics I), CSCI 220, or permission of the instructor. eS
|
| MATH-580 TOPICS IN APPLIED MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course
is a one-semester introduction to an advanced topic in applied mathematics
with generally only undergraduate mathematics prerequisites. Note:
Since the course content of this course is variable, it may be repeated
for credit.
|
| MATH-585 TOPICS IN PURE MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is
a one-semester introduction to an advanced topic in pure mathematics with
generally only undergraduate mathematics prerequisites. Note:
Since the course content of this course is variable, it may be repeated
for credit.
|
| MATH-601 GENERAL TOPOLOGY |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course provides an introduction
to general topology. Topics include the generation of topological
spaces, continuity, connectedness, separation, and countability.
Prerequisites: MATH 311 (Advanced Calculus I) and MATH 411
(Advanced Calculus II) recommended.
|
| MATH-604 APPLIED ALGEBRA II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is a continuation
of MATH 603. Topics include rings and fields with applications to
block designs, BCH and difference codes, public key crytography, semigroups
and monoids, with applications to automata and languages. Prerequisite:
MATH 603. eF
|
| MATH-607 DISCRETE MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is an introduction
to the theory and applications of discrete mathematics. Topics include
enumeration techniques, combinatorial identities, matching theory, basic
graph theory, combinatorial designs and related topics. Prerequisites:
MATH 203 (Linear Algebra).
|
| MATH-612 REAL ANALYSIS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is a continuation
of MATH 611. Topics include the Riemann-Stieltjes integral equicontinuous
families of functions, Lp spaces, linear transformations, the inverse and
implicit function theorems, and elementary measure theory. Prerequisites:
MATH 611. S
|
| MATH-623 PARTIAL DIFFERENTIAL EQUAT II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
Topics include
first order equations and the Cauchy problem, canonical forms of second
order equations, the Cauchy - Kowlevski Theorem, separation of variables
and eigenfunction expansions, Green's functions, maximum principles, and
numerical methods. Special topics such as the calculus of variations,
the Galerkin method, perturbations, bifurcations, and group methods will
be selected by the instructor. Prerequisites: MATH 523
(Partial Differential Equations I). oS
|
| MATH-624 DYNAMICAL SYSTEMS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course provides an
introduction to the qualitative theory of ordinary
differential and difference equations. Topics include existence
- uniqueness, stability theory, limit cycles, Poincare maps, structural
stability, and bifurcation theory. Applications will be provided
throughout the course. Special topics such as Hamiltonian systems,
gradient systems, gradient systems, perturbations, symbolic dynamics, strange
attractors, and chaos will be selected by the instructor. Prerequisites:
MATH 323 (Differential Equations) and MATH 502.
|
| MATH-645 NUMERICAL ANALYSIS II |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is a continuation
of MATH 545. Topics include finite difference and finite element
methods for partial differential equations and numerical optimization.
Other topics will be selected by the instructor. Prerequisite:
MATH 545. oF
|
| MATH-650 STATISTICAL QUALITY CONTROL |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is
an introduction to basic methods of statistical process control.
Topics include control charts, cumulative sum control charts, lot acceptance
sampling plans, and related topics. Prerequisites: MATH
350 (Statistical Methods) or permission of the instructor. eSu
|
| MATH-651 DESIGN OF EXPERIMENTS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is an introduction
to how and why scientific experiments should be designed. The most
commonly used designs and their variations along with resulting analysis
will be covered. Prerequisite: MATH 350, or equivalent,
or permission of instructor. oSu
|
| MATH-680 ST IN APPLIED MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This
course is a semester study of an advanced topic in applied mathematics.
Prerequisite: Permission of the instructor. NOTE:
Since the content changes, this course may be repeated for credit.
|
| MATH-685 SPECIAL TOPICS IN PURE MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course
is a semester study of an advanced topic in pure mathematics. Prerequisites:
Permission of the instructor. NOTE: Since the content
changes, this course may be repeated for credit.
|
| MATH-699 INDEPENDENT STUDY IN MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course
is designed to provide graduate students with an opportunity to study an
area of mathematics of interest to them which is not generally offered.
Prerequisite: Depends on the particular topic being studied.
|
| MATH-700 THESIS |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course is an individual study
in mathematics directed by a faculty member. Prerequisite:
Approval of the Graduate Steering Committee and the instructor.
NOTE: This course may be taken for credit twice when the nature
of the study warrants it.
|
| MATH-702 INTRO TO EXPER DESIGN |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course
emphasizes designs that are used widely in statistics. The Latin
Square design, factorial design, and two-way design with interaction are
discussed. In addition, multiple regression models and an introduction
to basic nonparametric procedures in analysis of variance are studied.
Other topics covered may include life tables, nested and confounded designs,
and analysis of covariance. Prerequisite: Math (Biometry) 700.
|
| MATH-704 NONPARAMETRIC MET BIO MED |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This course covers the advantages and disadvantages of nonparametric
tests. In particular, the articles covered consist of levels of measurements,
tests for one and two sample location and dispersion, tests for independence
and two-way layouts. Prerequisites: MATH 530 and Math (Biometry)
700.
|
| MATH-710 REGRESSION METH IN BIOL & MATH |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This
course covers techniques in regression analysis including the least squares
equation, methods for adding and eliminating variables in a regression
model and plotting techniques. The SAS software system is used throughout
the course. Prerequisites: MATH 530 and Math (Biometry) 700.
|
| MATH-711 ANALYSIS OF CATEGORICAL DATA |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
3.00 |
|
This is an
applications-oriented course intended for Ph.D. and advanced M.S. students.
A short review of the standard chi-square methods is followed by several
special purpose techniques for two-dimensional tables. Other areas
covered include the logit transformation, maximum likelihood and weighted
least squares methodologies, analysis of three-dimensional and higher tables,
and treatment of zero cells.
|
| MATH-900 CONTINUOUS RESEARCH ENROLLMENT |
| College: |
School of Science & Math |
| Department: |
MATH |
| Credits: |
1.00 TO 9.00 |
|
