Math Major Print E-mail

The department seeks to help students develop an analytical attitude and become more conscious of the value of precise thinking. The students gain appreciation of how mathematics enriches the intellectual life and how it provides models for handling applications to various other fields. 

A mathematics major prepares students to enter graduate school, the computer industry, teaching, scientific research, and the actuarial field. In addition, business, psychology, and the social sciences depend heavily on mathematically aware persons.

Major Requirements
Calculus through Multi variable Calculus, Linear Algebra and three upper division courses plus a proficiency in computer programming equivalent to CIS 210 are required for a major.

MTH 115 - Introduction to Calculus I - 4 credits
The first course in the regular calculus sequence. Basic techniques of differentiation and integration are covered. Topics from Analytic Geometry are introduced.
Prerequisite: MTH 111 or equivalent background.
(Offered fall semester.)

MTH 116 - Calculus II - 4 credits
Techniques of integration, sequences and series, parametric equations, vector-valued functions.
Prerequisite: MTH 115.
(Offered spring semester.)

MTH 212 - Linear Algebra - 4 credits
This course is designed to give the mathematics student his first serious encounter with mathematical systems. Elements of the theory of vector spaces are developed. The student gains experience in matrix algebra, vectors, and linear transformations. Proof writing is emphasized.
Prerequisite: MTH 115.
(Offered spring semester.)

MTH 217 - Multivariable Calculus - 2 credits
The differential and integral calculus of multi variate functions, line and surface integrals, Greens Theorem, Divergence Theorem, Stokes Theorem.
Prerequisite: MTH 116.
(Offered fall semester.)

MTH 218 - Differential Equations - 3 credits
First order differential equations, linear equations, and linear systems, power series solutions, Laplace Transforms.
Prerequisite: MTH 116.
(Offered fall semester.)

MTH 301 - Probability and Statistics - 4 credits
Treatment of probability applied to discrete and continuous distributions; tests of hypotheses; independence and correlations; sampling theory.
Prerequisite: MTH 115.
(Offered spring semester of even calendar years.)

MTH 302 - Non-Euclidean Geometry and History - 4 credits
Includes an introduction to history of mathematics, particularly contributions of Greek scholars; study of Euclid's elements; transition to Non-Euclidean geometrics developed by Gauss, Bolyai, Lobachevski and Riemann; history of calculus and mathematical structures.
Prerequisite: MTH 115, and 212 or instructor's permission.
(Offered spring semester of odd calendar years.)

MTH 304 - Applied Mathematics - 4 credits
Provides an experience in the uses of mathematics. Use and development of mathematical models will be considered. Topics will range from applications in the social sciences to physics and engineering. The choice of material will be based on current trends in mathematics applications and on student's needs.
Prerequisite: MTH 217.
(Offered spring semester of odd calendar years.)

MTH 306 - Numerical Analysis - 4 credits
Introduces basic theory in the numerical solution of mathematical problems. Topics include nonlinear equations, sets of equations, interpolating polynomials, numerical differentiation, integration, and solution of differential equations.
Prerequisite: Proficiency in FORTRAN or C(++) and MTH 217.
(Offered spring semester of even calendar years.)

MTH 308 - Abstract Algebra - 4 credits
Axiomatic treatment of selected algebraic structures, including rings, integral domains, fields and groups, including an introduction to number theory.
Prerequisite: MTH 212.
(Offered fall semester of odd calendar years.)

MTH 319 - Advanced Calculus - 4 credits
The language, fundamental concepts, and standard theorems of analysis are explored. The student learns to read the literature and investigates applications. Ideas from elementary calculus are revisited.
Prerequisite: MTH 217.
(Offered fall semester of even calendar years.)

MTH 405 - Practicum
Taken for pass/fail credit.
(For description, see Curriculum Overview page)

MTH 389 - Junior Departmental Honors Research - 1 to 2 credits

MTH 489 - Departmental Honors Research - 2 credits
(For descriptions, see Academic Information page)

MTH 490 - Departmental Honors Thesis - 2 credits
(For descriptions, see Academic Information page)

MTH 199, 399 - Open-Titled Course - 1 to 4 credits
(For description, see Curriculum Overview page)