MATHEMATICS

Professors Ergle, Ingram, R. Minton, Spielman; Associate Professor

C. Lee; Assistant Professor Ankney;Teaching Associates J. Minton,

Staniunas; Part-time Lecturer Bauman

The Bachelor of Science degree with a major in mathematics

requires the completion of 13 units of mathematics, statistics,

and computer science.These units must include Math 122,

131, 201, 331, 361, 431, 491, Statistics 202, and CPSC 120;

and four additional units in mathematics or statistics

numbered 300-level or above.

The Bachelor of Arts degree option is no longer being

offered; please see 2002-2003 Academic Catalog for program

requirements.

Minor in Mathematics

A minor in mathematics will require six units, including

MATH 121, 122, 131, 201 and two additional units in

mathematics or statistics. One of these additional units must

be at the 200 level or above and the other must be at the

300 level or above.

101 Contemporary Mathematics

Theory and application of the contemporary mathematical

topics of graph theory, modeling of social choice, game

theory, and selected others. (1)

(Not open to students who have received credit for either Mathematics

104 or 105 or 112 or higher.)

Lecture: 3 hrs/wk.

111 Mathematical Models for the Management

Sciences

Theory and application of several mathematical models used

in business and social sciences.Topics include matrices, linear

programming, functions, limits, and derivatives. (1)

Lecture: 3 hrs/wk.

(May not be taken if credit has been received for Mathematics 112 or

higher.)

112 Concepts and Techniques of Calculus

Primarily for students of biology, business, economics, and the

behavioral sciences. Topics include limits, differentiation and

integration, optimization problems, numerous applications.

(Credit cannot be received for both Mathematics 112 and 121.) (1)

Lecture: 3 hrs/wk.

121 Calculus I

The analysis of limits, derivatives, integrals and their

applications for functions of one variable. (Credit cannot be

received for both Mathematics 112 and 121.) (1)

Lecture: 3 hrs/wk; Laboratory: 1.5 hrs/wk.

122 Calculus II

The analysis of integrals, sequences and series, parametric

equations and their applications for functions of one variable. (1)

Lecture: 3 hrs/wk.; Laboratory: 1.5 hrs/wk.

Prerequisite: Mathematics 121.

131 Discrete Mathematics

Set theory, number systems, formal logic, functions and

relations, and an introduction to mathematical proofs. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 121.

201 Linear Algebra

Linear equations, matrices, vector spaces, linear mappings,

determinants, quadratic forms, geometric applications. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 122.

221 Mathematical Analysis I

Inverse trigonometric functions, integration techniques,

trigonometry integrals, partial fractions, conic sections,

improper integrals,Taylor polynomials, convergence of

sequences and series. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 122.

(Offered for the last time in 2003-2004.)

222 Mathematical Analysis II

Indeterminate forms, quadratic surfaces, polar coordinates,

parametric equations, multiple integrals, partial differentiation.

(1) Lecture: 3 hrs/wk.

Prerequisite: Mathematics 221.

(Offered for the last time in 2003-2004.)

306 Topology

Topological spaces, functions, mappings, connectedness,

compactness, metric spaces. (1)

Lecture: 3 hrs/wk.

Prerequisites: Mathematics 131 and 201.

(Offered on a rotating basis, not every year.)

321 Vector Calculus

The analysis of functions of several variables, double and triple

integrals, line integrals, vector fields, and surface integrals. (1)

(Credit may not be received for Mathematics 321 if credit has

been received for Mathematics 222, which will be offered for

the last time in Spring 2004.)

Prerequisite: Mathematics 122.

331 Differential Equations

Ordinary differential equations with applications. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 201 or permission.

361 Abstract Algebra

Axiomatic study of selected algebraic structures. (1)

Lecture: 3 hrs/wk.

Prerequisites: Mathematics 131 and 201.

(Offered in 2004-2005 and alternate years.)

388 Topics in Mathematics

Special topics in Mathematics. (1)

Prerequisites: Mathematics 131 and 201 or permission.

(Offered on a rotating basis, not every year.)

402 Numerical Analysis

Numerical integration and differentiation, numerical methods

in linear algebra, interpolations; error analysis, stability and

conditioning. (1)

Lecture: 3 hrs/wk.

Prerequisites: Mathematics 201, 221, which will be offered for the

last time in Fall, 2003, or the lab version of Math 122, Computer

Science 120. (Offered in 2003-2004 and alternate years.)

(Cross-listed as CPSC 402.)

405, 406, 407 Independent Study and Research

Selected topics in mathematics carried out under direction of

a member of the department staff. (Enrollment with the approval

of the department.) ( 1 / 2 , 1, 1 / 2 )

416 Internship

Field placement providing practical experience and training in

areas in which mathematics is applied. These areas may

include industry, government agencies, educational

institutions, insurance companies, and a variety of private

enterprises. (Permission of the department is required.) (1)

431 Real Analysis I

The structure of the real number system; selected topics from

metric spaces, continuity, differentiation, integration,

sequences and series.(1)

Lecture: 3 hrs/wk.

Prerequisites: Mathematics 131 and 221, which will be offered for

the last time in Fall 2003, or the lab version of Mathematics 122.

(Offered in 2003-2004 and alternate years.)

432 Real Analysis II

Riemann-Stieltjes integral, series of numbers, series of

functions, series expansions. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 431.

(Offered for the last time in 2003-2004.)

481 Complex Analysis

The structure of the complex number system; analytic

functions, conformal mappings and applications; the theory of

complex integration. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 221, which will be offered for the last time

in Fall 2003, or the lab version of Mathematics 122.

(Offered on a rotating basis, not every year.)

482 Applied Differential Equations

Series solutions of differential equations. Bessel functions,

Legendre polynomials, Fourier series, partial differential

equations, boundary value problems. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 331.

(Offered on a rotating basis, not every year.)

491 Math Seminar

Advanced topics in pure and applied mathematics, presentation

of math projects, topics in the history of math. (1)

Lecture: 3 hrs/wk.

Prerequisite: Mathematics 331.

495, 496, 497 Honors Project

A program of independent study culminating in a paper,

artistic creation, or performance.

Prerequisite: To qualify for consideration to receive honors in the

major, a student in his/her senior year or in the Summer prior to the

senior year, must work under the guidance of his/her committee.A

written proposal and application must be approved by the committee

and department.A minimum GPA of 3.4 in the major is required.

495 Honors Project is prerequisite for 497 Honors Project. ( 1 / 2 , 1, 1 / 2 )