**Undergraduate
Course Descriptions**
**99. DEVELOPMENTAL MATHEMATICS.
**(Nondegree credit) This course concentrates on developing basic skills
in arithmetic and beginning algebra. It is open only to students who enroll
in the summer developmental program. (3).
**100. INTERMEDIATE ALGEBRA.**
A remedial course for students not yet prepared to take college mathematics.
Students with ACT mathematics scores less than 17 or SAT mathematics scores
less than 370 are required to enroll in Math 100 unless they have made
a passing score on the algebra placement test administered by the Department
of Mathematics. (3 nondegree credit).
**115. ELEMENTARY STATISTICS.**
Descriptive statistics; probability distributions; sampling distributions;
estimation; hypothesis testing; and linear regression. (3).
**120. QUANTITATIVE REASONING.**
Statistical reasoning, logical statements and arguments, geometry, estimation,
and approximations. (3).
**121. COLLEGE ALGEBRA.** (3).
**123. TRIGONOMETRY.** (3).
**125. BASIC MATHEMATICS FOR SCIENCE
AND ENGINEERING.** A unified freshman course designed especially for
those students requiring a review of both algebra and trigonometry before
beginning the calculus sequence. (3).
**245. MATHEMATICS FOR ELEMENTARY
TEACHERS I.** Introduction to sets: the real number system and its subsystems.
(For elementary and special education majors only). (3).
**246. MATHEMATICS FOR ELEMENTARY
TEACHERS II.** Informal geometry; measurement and the metric system;
probability and statistics. (For elementary and special education majors
only). Prerequisite: MATH 245. (3).
**261, 262, 263, 264. UNIFIED CALCULUS
AND ANALYTIC GEOMETRY.** Differential and integral calculus; analytic
geometry introduced, covered in integrated plan where appropriate. (Four-term
sequence for engineering and science majors; 262 terminal course for nonscience
major). (3, 3, 3, 3).
**267, 268. CALCULUS FOR BUSINESS,
ECONOMICS AND ACCOUNTANCY; I, II.** Differential and integral calculus
with an emphasis on business applications. Prerequisite: MATH 121. (3,3).
**269. ELEMENTARY MATHEMATICAL
ANAYLSIS III.** Selected topics in quantitative methods with an emphasis
on business applications. Topics include Gauss-Jordan elimination, simplex
solutions for linear programming models and transportation and assignment
algorithms. Prerequisite: MATH 267. (3).
**281. COMPUTER LABORATORY FOR
CALCULUS I.** Investigation of the techniques in Calculus I (Math 261)
through the use of a computer. Corequisite: 261. (1).
**282. COMPUTER LABORATORY FOR
CALCULUS II.** Investigation of the techniques in Calculus II (Math
262) through the use of a computer. Corequisite: MATH 262. (1).
**283. COMPUTER LABORATORY FOR
CALCULUS III.** Investigation of the techniques in Calculus III (Math
263) through the use of a computer. Corequisite: MATH 263. (1).
**284. COMPUTER LABORATORY FOR
CALCULUS IV.** Investigation of the techniques in Calculus IV (Math
264) through the use of a computer. Corequisite: MATH 264. (1).
**301. DISCRETE MATHEMATICS.**
Elementary counting principles; mathematical induction; inclusion-exclusion
principles; and graphs. Prerequisite: MATH 261. (3).
**302. APPLIED MODERN ALGEBRA.**
Languages, generating functions, recurrence relations, optimization, rings,
groups, coding theory, and Polya theory. Prerequisite: MATH 301. (3).
**305. FOUNDATIONS OF MATHEMATICS.**
Set theory with emphasis on functions, techniques used in mathematical
problems, cardinal numbers. Prerequisite: MATH 262. (3).
**319. INTRODUCTION TO LINEAR ALGEBRA.**
Vectors, matrices, determinants, linear transformations, introduction
to vector spaces. Prerequisite: MATH 262. (3).
**353. ELEMENTARY DIFFERENTIAL
EQUATIONS.** Equations of first and second order; linear equations with
constant coefficients; solution in series. Corequisite: MATH 264. (3).
**368. INTRODUCTION TO OPERATIONS
RESEARCH.** An introduction to the mathematics involved in optimal decision
making and the modeling of deterministic systems. Major topics to include
linear programming, the simplex method, transportation algorithms, integer
programming, network theory, and CPM/PERT. Prerequisite: MATH 319. (3).
**375, 376. INTRODUCTION TO STATISTICAL
METHODS I, II. **An introduction to methods useful for analyzing qualitative
data (Math 375) and quantitative data (Math 376). Prerequisite: an elementary
statistics course or permission of instructor. Math 375 is not a prerequisite
for Math 376. (These courses will not count toward a major or minor in
mathmatics.) (3,3).
**381. VECTOR ANALYSIS.** The
formal processes of vector analysis with applications to mechanics and
geometry. Prerequisite: MATH 264. (3).
**397. SPECIAL PROBLEMS.** (May
be repeated for credit). (1-3).
**425. INTRODUCTION TO ABSTRACT
ALGEBRA.** Real number system, groups, rings, integral domains, fields.
Prerequisite: MATH 263. (3).
**431. EUCLIDEAN GEOMETRY.**
Euclidean geometry in the plane and space. Prerequisite: MATH 264 or consent
of instructor. (3).
**454. INTERMEDIATE DIFFERENTIAL
EQUATIONS.** Certain special methods of solution; systems of equations;
elementary partial differential equations; equations occurring in physical
sciences. Prerequisite: MATH 353. (3).
**459. INTRODUCTION TO COMPLEX
ANALYSIS.** Complex numbers, complex differentiation, the Cauchy-Riemann
equations and applications; the Cauchy integral formula, contour integration,
series. Prerequisite: MATH 264. (3).
**461, 462. NUMERICAL MATHEMATICAL
ANALYSIS I, II.** (3, 3).
**475. INTRODUCTION TO MATHEMATICAL
STATISTICS.** Data analysis; moment characteristics; statistical distributions,
including Bernoulli, Poisson, and Normal; least squares, simple correlation,
and bivariate analysis; applications. Prerequisite: MATH 263. (3).
**501, 502. GENERAL TOPOLOGY.**
Metric spaces, continuity, separation axioms, connectedness, compactness,
and other related topics. Prerequisite: MATH 556. (3, 3).
**513, 514. THEORY OF NUMBERS I,
II.** Congruences; divisibility; properties of prime numbers; arithmetical
functions; quadratic forms; quadratic residues. (3, 3).
**519. MATRICES.** Basic matrix
theory, eigenvalues, eigenvectors, normal and Hermitian matrices, similarity,
Sylvester’s Law of Inertia, normal forms, functions of matrices. Prerequisite:
MATH 319. (3).
**520. LINEAR ALGEBRA.** An introduction
to vector spaces and linear transformations; eigenvalues and the spectral
theorem. Emphasis will be placed on business applications. (3).
**525, 526. MODERN ALGEBRA I, II.**
General properties of groups, rings, and fields; introduction to ideal
theory. (3, 3).
**533. TOPICS IN EUCLIDEAN GEOMETRY.**
A study of incidence geometry; distance and congruence; separation; angular
measure; congruences between triangles; inequalities; parallel postulate;
similarities between triangles; circles area. (3).
**537. NON-EUCLIDEAN GEOMETRY.**
Brief review of the foundation of Euclidean plane geometry with special
emphasis given the Fifth Postulate; hyperbolic plane geometry; elliptic
plane geometry. (3).
**540. HISTORY OF MATHEMATICS.**
Development of mathematics, especially algebra, geometry, and analysis;
lives and works of Euclid, Pythagoras, Cardan, Descartes, Newton, Euler,
and Gauss. Prerequisite: Math 305 or consent of instructor.
**545. SELECTED TOPICS IN MATHEMATICS
FOR SECONDARY-SCHOOL TEACHERS. **High school subjects from an advanced
point of view and their relation to the more advanced subjects. (3).
**555, 556. ADVANCED CALCULUS I,
II.** Limits, continuity, power series, partial differentiation; multiple,
definite, improper, and line integrals; applications. (3, 3).
**567, 568. INTRODUCTION TO FUNCTIONAL
ANALYSIS.** Prerequisite: 556 or consent of instructor. (3, 3).
**569. THEORY OF INTEGRALS.**
Continuity, quasi-continuity, measure, variation, Stieltjes integrals;
Lebesque integrals. (3).
**571. FINITE DIFFERENCES.**
Principles of differencing, summation, and the standard interpolation
formulas and procedures. (3).
**572. INTRODUCTION TO PROBABILITY
AND STATISTICS.** Emphasis on standard statistical methods and the application
of probability to statistical problems. Prerequisite: MATH 261-264. (3).
**573. APPLIED PROBABILITY.**
Emphasis on understanding the theory of probability and knowing how to
apply it. Proofs are given only when they are simple and illuminating.
Among topics covered are joint, marginal, and conditional distributions,
conditional and unconditional moments, independence, the weak law of large
numbers, Tchebycheff’s inequality, Central Limit Theorem. Prerequisite:
MATH 261-264. (3).
**574. PROBABILITY.** Topics
introduced in MATH 573 will be covered at a more sophisticated mathematical
level. Additional topics will include the Borel-Cantelli Lemma, the Strong
Law of Large Numbers, characteristic functions (Fourier transforms). Prerequisite:
MATH 573. (3).
**575, 576. MATHEMATICAL STATISTICS
I, II.** Mathematical treatment of statistical and moment characteristics;
frequency distribution; least squares; correlation; sampling theory. (3, 3).
**577. APPLIED STOCHASTIC PROCESSES.**
Emphasis on the application of the theory of stochastic processes to problems
in engineering, physics, and economics. Discrete and continuous time Markov
processes, Brownian Motion, Ergodic theory for Stationary processes. Prerequisite:
MATH 573 or consent of instructor. (3).
**578. STOCHASTIC PROCESSES.**
Topics will include General Diffusions, Martingales, and Stochastic Differential
Equations. (3).
**590. TECHNIQUES IN TEACHING COLLEGE
MATHEMATICS.** Directed studies of methods in the presentation of college
mathematics topics, teaching and testing techniques. Z grade. This course
is required of all teaching assistants, each semester, and may not be
used for credit toward a degree. Prerequisite: departmental consent. (1-3).
**597. SPECIAL PROBLEMS.** (1-3).
** **
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