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Mathematical Sciences Course Descriptions
MATH 1306 College Algebra for the NonScientist
(3 semester hours) This course is intended for students NOT continuing
on to precalculus or calculus. The course is designed to develop both
abstract thinking and a practical approach to problem solving. The emphasis
is on understanding rather than purely computational skills. Topics
include logic, sets, the real numbers, linear equations and their applications,
functions, and graphs. Cannot be used to satisfy major requirements
for majors in the Schools of Natural Sciences and Mathematics or Management,
or degree requirements for the School of Engineering and Computer Science.
Credit given for only one of MATH 1300, 1306 or 1314. Prerequisite:
High School Algebra II. (30) Y
MATH 1314 College Algebra (3 semester
hours) Topics chosen from areas such as equations and inequalities,
rational expressions, exponents, radicals and logarithms, functions,
and graphs. Cannot be used to satisfy major requirements for majors
in the Schools of Natural Sciences and Mathematics or Management, or
degree requirements for the School of Engineering and Computer Science.
Credit given for only one of MATH 1300, 1306, or 1314. Prerequisite:
High School Algebra II. (30) S
MATH 1325 Applied Calculus I (3
semester hours) Functions and graphs, differentiation, maxima and minima,
exponential and logarithmic functions, integration, applications of
integrals. Cannot be used to satisfy degree requirements or majors in
the School of Engineering and Computer Science or major requirements
in the School of Natural Sciences and Mathematics. Credit given for
only one of MATH 1325 or 2417. Prerequisite: A SAT II Mathematics Level
IC Test score of at least 480 or a grade of at least C in MATH 1314
or an equivalent course. (30) S
MATH 1326 Applied Calculus II (3
semester hours) Applications of differential equations, functions of
several variables, least squares modeling, multiple integrals, infinite
series. Cannot be used to satisfy degree requirements for B.S. majors
in Schools of Engineering and Computer Science or Natural Sciences and
Mathematics. Credit given for only one of MATH 1326 or 2419. Prerequisite:
A score of at least 4 on the Advanced Placement Calculus AB exam, a
score of at least 3 on the Advanced Placement Calculus BC exam, or MATH
1325. (30) S
MATH 2312 Precalculus (3 semester
hours) Trigonometric functions, rational functions, exponential and
logarithmic functions and their graphs, analytic geometry, polynomial
equations, and linear system of equations will be covered. Cannot be
used to satisfy degree requirements for majors in the School of Engineering
and Computer Science, or major requirements for the Schools of Management
or Natural Sciences and Mathematics. Prerequisite: A SAT II Mathematics
Level IC Test score of 480 or a grade of at least a C in MATH 1314
or an equivalent course. (30) S
MATH 2333 Matrices, Vectors, and Their Application
(3 semester hours) Matrices, vectors, determinants, inverses, systems
of linear equations, and applications. Cannot be used to satisfy degree
requirements for majors in the School of Engineering and Computer Science,
or major requirements in the School of Natural Sciences and Mathematics.
Credit given for only one of MATH 2333 or 2418. Prerequisite: MATH 1314
or equivalent. (30) S
MATH 2417 Calculus I (4 semester
hours ) Functions, limits, continuity, differentiation; integration
of function of one variable; logarithmic, exponential, and inverse trigonometric
functions; techniques of integration, and applications. Three lecture
hours and two discussion hours a week. Prerequisite: A SAT II Mathematics
Level IC Test score of 630, a Level II Test score of 630, or a grade
of at least C in MATH 2312 or an equivalent course. (40) S
MATH 2418 Linear Algebra (4 semester
hours) Systems of linear equations, determinants, vectors and vector
spaces, linear transformations, eigenvalues and eigenvectors, quadratic
forms. Three lecture hours and two discussion hours per week. Credit
given for only one of MATH 2333 or 2418. Prerequisite: MATH 2419 or
consent of instructor. (40) S
MATH 2419 Calculus II (4 semester
hours) Continuation of MATH 2417. Improper integrals, sequences, infinite
series, power series, parametric equations and polar coordinates, vectors,
vector valued functions, functions of several variables, partial derivatives
and applications, multiple integration. Three lecture hours and two
discussion hours a week. Prerequisite: A score of at least 4 on the
Advanced Placement Calculus BC exam or MATH 2417. (40) S
MATH 2420 Differential Equations with Applications
(4 semester hours) Topics covered will be drawn from the following list:
First order differential equations, ordinary differential equations,
system of linear differential equations, stability, series solutions,
special functions, Sturm Liouville problem, Laplace transforms and linear
differential equations, numerical solutions and applications in physical
sciences and engineering using computers. Three lecture hours and two
discussion hours per week. Prerequisite: MATH 2419. (40) S
MATH 2451 Multivariable Calculus with Applications
(4 semester hours) Vectors, matrices, vector functions, partial derivatives,
divergence, curl, Laplacian, multiple integrals, line and surface integrals,
Green’s, Stoke’s, and Gauss’s theorems, and applications
in physical sciences and engineering. Three lecture hours and two discussion
hours per week. Prerequisite: MATH 2419. (40) S
MATH 2V90 Topics in Mathematics
(16 semester hours) Special topics in mathematics outside the normal
course of offerings. May be repeated for credit as topics vary (9 hours
maximum). Consent of instructor required. ([16] 0) S
MATH 3301 Mathematics for Elementary and
Middle School Teachers (3 semester hours) This course is intended
to develop future teachers' depth of mathematical understanding by examining
concepts in school mathematics from an advanced perspective. Topics
include: numeration systems; arithmetic algorithms, prime factorization
and other properties of the integers; proportional reasoning involving
fractions and decimals; counting methods; and basic ideas of geometry
and measurement. Problem solving is stressed. Cannot be used to satisfy:
[1] undergraduate mathematics core requirement, [2] degree requirements
by students in Mathematical Sciences, [3] the advanced mathematics electives
sequence by nonmajors, or [4] certification requirements in 812 mathematics.
Prerequisite: MATH 1306 or MATH 1314 or equivalent course. (30) S
MATH 3303 Introduction to Mathematical Modeling
(3 semester hours) An introduction to construction, use, and analysis
of empirical and analytical mathematical models. Emphasis on using appropriate
technology with tools such as curve fitting, probability and simulation,
difference and differential equations, and dimensional analysis. Cannot
be used to satisfy mathematics requirements by students in Mathematical
Sciences and cannot be used to satisfy the advanced mathematics electives
sequence by nonmajors. Prerequisites: MATH 2419 and 2418. (30) Y
MATH 3305 Foundations of Measurement and
Informal Geometry (3 semester hours) An analysis, from an advanced
perspective, of the basic concepts and methods of geometry and measurement.
Topics include visualization, geometric figures and their properties;
transformations and symmetry; congruence and similarity; coordinate
systems; measurement [especially length, area, and volume]; and geometry
as an axiomatic system. Emphasis on problem solving and logical reasoning.
Cannot be used to satisfy: [1] undergraduate mathematics core requirement,
[2] degree requirements by students in Mathematical Sciences, [3] the
advanced mathematics electives sequence by nonmajors, or [4] certification
requirements in 812 mathematics. Prerequisite: MATH 1312, MATH 3301
or equivalent course. (30) Y
MATH 3307 Mathematical Problem Solving for
Teachers (3 semester hours) Development of the ability to solve
mathematical problems and communicate their solutions throught the study
of strategies and heuristics. Practice in solving problems involving
ideas from number theory, algebra, combinatorics and probability, etc.
Communicating mathematics, logical reasoning, and connections between
mathematical topics will be emphasized. Cannot be used to satisfy degree
requirements by students in Mathematical Sciences or the advanced mathematics
electives sequence by nonmajors. Prerequisites: MATH 2312 and MATH
3305 or MATH 3321. (30) Y
MATH 3310 Theoretical Concepts of Calculus
(3 semester hours) Mathematical theory of calculus. Limits, types of
convergence, power series, differentiation, and Riemann integration.
Prerequisite: MATH 2419. (30) Y
MATH 3311 Abstract Algebra I (3
semester hours) Groups, rings, fields, vector spaces modules, linear
transformations, and Galois Theory. Prerequisite: MATH 2419. (30) Y
MATH 3312 Abstract Algebra II (3
semester hours) Continuation of Math 3311. Prerequisite: MATH 3311.
(30) Y
MATH 3321 Geometry (3 semester hours)
Elements of Euclidean, nonEuclidean, and projective geometry. Topics
covered will be drawn from the following list: triangles and their distinguishing
points, Euler line, nine point circle, extremum problems, circles and
spheres, inversions, the circles of Apollonius, projective geometry,
axioms of the projective plane, Desargues’s theorem, conics, elementary
facts of the non Euclidean geometries. Prerequisite: MATH 2419. (30)
Y
MATH 3379 Complex Variables (3 semester
hours) Geometry and algebra of complex numbers, functions of a complex
variable, power series, integration, calculus of residues, conformal
mapping. Prerequisites: MATH 2451 and 3310. (30) Y
MATH 4301 Mathematical Analysis
I (3 semester hours) Sets, real number system, metric spaces, real functions
of several variables. Riemann Stieltjes integration and other selected
topics. Prerequisites: MATH 2451 and 3310. (30) Y
MATH 4302 Mathematical Analysis II
(3 semester hours) Continuation of Math 4301. Prerequisite: MATH 4301.
(30) Y
MATH 4332 Scientific Math Computing
(3 semester hours) Topics covered include introduction to Unix shells,
basic and advanced use of Matlab for mathematical and scientific problem
solving. Course is conducted in a computer classroom and assignments
include applications in numerical and statistical analysis, image processing,
and signal processing. Prerequisites: MATH 2418 and MATH 2419 or equivalent.
(30) S
MATH 4334 Numerical Analysis (3
semester hours) Solution of linear equations, roots of polynomial equations,
interpolation and approximation, numerical differentiation and integration,
solution of ordinary differential equations; computer arithmetic and
error analysis. Prerequisites: MATH 2418, 2451, and CS 1337 or equivalent
knowledge of a high level programming language. (Same as CS 4334) (30)
Y
MATH 4341 Topology (3 semester hours)
Elements of general topology, topological spaces, continuous functions,
connectedness, compactness, completeness, separation axioms, and metric
spaces. Prerequisites: MATH 2451 and 3310. (30) Y
MATH 4355 Methods of Applied Mathematics
(3 semester hours) Topics include some frequently used tools in applied
mathematics: Laplace and Fourier transforms, special functions, systems,
signals, and their applications in physical sciences and engineering.
Prerequisites: MATH 2418 and 2420. (30) T
MATH 4362 Partial Differential Equations
(3 semester hours) This course presents a survey of classical and numerical
methods for the solution of linear and nonlinear boundary value problems
governed by partial differential equations. Modeling and application
related issues are included throughout. Prerequisites: MATH 2420, 2451,
and knowledge of a high level programming language. (30) T
MATH 4398 Senior Honors in Mathematical Sciences
(3 semester hours) For students conducting independent research for
honors theses or projects. (30) S
MATH 4V03 Independent Study in Mathematics
(16 semester hours) Independent study under a faculty member’s
direction. Student must obtain approval from participating math sciences
faculty member and the undergraduate advisor. Can satisfy Communication
elective (3 hours) if it has a major writing/report component. ([16]
0) S
MATH 4V91 Undergraduate Topics in Mathematics
(19 semester hours) Subject matter will vary from semester to semester.
May be repeated for credit (9 hours maximum). ([19] 0) S

