MATH 315 — Foundations of Mathematics (3)
— (Old Name: MA SC 370)
A consideration of selected topics
in the foundations of mathematics, with emphasis on development and basic
meaning and concepts.
Prerequisite:MATH 141
MATH 401 — Introduction to Analysis I (3)
— (Replacing: MA SC 455)
Review of calculus, properties of real numbers, infinite series, uniform
convergence, power series. Students who have passed Math. 403 may not schedule
this course.
Prerequisite:MATH 230 or
MATH 231
MATH 405 — Advanced Calculus for Engineers and Scientists I ( 3)
— (Replacing: MA SC 424)
Vector calculus, linear algebra, ordinary and partial differential equatinos.
Students who have passed MATH 411 or 412 may not take this course for credit.
Prerequisite:MATH 231;
MATH 250 or
MATH 251
MATH 408 — Advanced Calculus (3)
— (Old Name: MA SC 450)
Differential and integral calculus of functions
of several variables, line and surface integrals, infinite series, series of
functions, power series.
Prerequisite:MATH 141
MATH 411 — Ordinary Differential Equations (3)
— (Replacing: MA SC 440)
Linear ordinary differential equations; existence and uniqueness questions;
series solutions; special functions; eigenvalue problems; Laplace transforms;
additional topics and applications.
Prerequisite:MATH 230 or
MATH 231;
MATH 250 or
MATH 251
MATH 412 — Fourier Series and Partial Differential Equations (3)
— (Replacing: MA SC 441)
Orthogonal systems and Fourier series; derivation and classification of partial
differential equations; eigenvalue function method and its applications;
additional topics.
Prerequisite:MATH 230 or
MATH 231;
MATH 250 or
MATH 251
MATH 421 — Complex Analysis (3)
— (Replacing: MA SC 457)
Infinite sequences and series; algebra and
geometry of complex numbers; analytic functions; integration; power series;
residue calculus; conformal mapping, applications.
Prerequisite:MATH 230,
MATH 232, or
MATH 405;
MATH 401 or
MATH 403
MATH 425 — Introduction to Operations Research (3)
— (Old Name: MA SC 425)
Nature of operations research,
problem formulation, model construction, deriving solution from models,
allocation problems, general linear allocation problems, inventory problems.
Prerequisite:MATH 141 and
MATH 220
MATH 427 — Foundations of Geometry (3)
— (Replacing: MA SC 445)
Euclidean and various non-Euclidean geometries and their development from
postulate systems.
Prerequisite:MATH 230
or
MATH 231
MATH 430 — Linear Algebra and Discrete Models I (3)
— (Old Name: MA SC 460)
Vector spaces, linear
transformations, matrices determinants, characteristic values and vectors,
systems of linear equations, applications to discrete models.
Prerequisite:MATH 141
MATH 431 — Linear Algebra and Discrete Models II (3)
— (Old Name: MA SC 461)
Vector spaces, linear
transformations, matrices, determinants, characteristic values and vectors,
systems of linear equations, applications to discrete models.
Prerequisite:MATH 430
MATH 435 — Basic Abstract Algebra (3)
— (Replacing: MA SC 465)
Elementary theory of groups, rings, and fields.
Prerequisite:MATH 311W
MATH 444 — Mathematical Statistics and Applications I (3)
— (Old Name: MA SC 420)
Distributionsof random
variables, special distributions, limiting distributions, sampling,
statistical inference, point and interval estimation, orthogonal polynomials,
and least squares.
Prerequisite:MATH 141
MATH 445 — Mathematical Statistics and Applications II (3)
— (Old Name: MA SC 421)
Furthertopics in
point estimation, statistical hypotheses, other statistical tests,
nonparametric methods.
Prerequisite:MATH 444
MATH 446 — Introduction to Applied Statistics I (3)
— (Old Name: MA SC 422)
Descriptive statistics,
probability theory, discrete and continuous probability distributions,
statistical inference for means and proportions.
Prerequisite:MATH 022 or
MATH 040
MATH 447 — Introduction to Applied Statistics II (3)
— (Old Name: MA SC 423)
Regression, correlation,
analysis of variance, contingency tables, nonparametric methods, time series,
index numbers.
Prerequisite:MATH 446
MATH 448 — Sampling Methods and Experimental Design (3)
— (Old Name: MA SC 427)
An introduction to the
procedures and techniques of statistical sampling methods and experimental
design.
Prerequisites:MATH 444, 445
MATH 450 — Mathematical Modeling (3)
— (Replacing: MA SC 477)
Constructing mathematical models of physical phenomena; topics include pendulum
motion, polymer fluids, chemical reactions, waves, flight, and chaos.
Prerequisite:
either MATH 315 and
MATH 430; or
MATH 405 or
MATH 412
MATH 475W — Introduction to the History of Mathematics (3)
— (Old Name: MA SC 475W)
A historical
development of the major ideas in mathematics and their scientific and
social impact.
Prerequisite:MATH 141
MATH 480 — Compound Interest and Annuities —Certain (3)
— (Old Name: MA SC 435)
A study of compound
interest and annuity functions; equations of value; determination of yield
rates; construction of tables.
Prerequisite:MATH 141
MATH 481 — Life Contingencies I (3)
— (Old Name: MA SC 436)
A study of the mathematical theory of life
contingencies; single-life functions and their applications.
Prerequisites:MATH 444,
445, 480
MATH 496 — Independent Studies (1-18)
— (Old Name: MA SC 496)
MATH 497 — Special Topics (1-9)
— (Old Name: MA SC 497)