Professors Ingram, R. Minton, Spielman; Associate Professor C. Lee; Assistant Professors Childers, Taylor; Teaching Associates Bauman, J. Minton, Staniunas; Visiting Instructor Snare

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, Computer Science 120, and four additional units in mathematics or statistics numbered 300-level or above (one of these units may be Computer Science 390, Physics 350, or Physics 432).

**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 Mathematics 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.

**271 Problem-Solving Seminar**

An introduction to techniques for solving mathematical problems in a seminar format. In the fall, the focus is on Putnam from a variety of mathematical fields. In the spring, the focus is on modeling problems from a variety of real world situations. Class meets for 3 hours for 6 weeks. A maximum of one unit can be carried toward graduation. (1/4)

Lecture: 3 hrs/wk.

Pre-requisite: Mathematics 112 or higher.

**306 Topology**

Topological spaces, functions, mappings, connectedness, compactness, and 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)

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 2010-2011 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, interpolation; error analysis, stability and conditioning. (1)

Lecture: 3 hrs/wk.

Prerequisites: Mathematics 201, Mathematics 122, Computer Science 120.

Offered on a rotating basis, not every year); (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**

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 Mathematics 122

(Offered in 2009-2010 and alternate years.)

**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 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)