Review of algebra including the real number system. Study of functions which includes the exponential and polynomial.
MTH 110 ELEMENTARY FUNCTIONS / 4 credits
A study of exponential, logarithmic and trigonometric functions, elementary matrix theory including determinants and systems of equations. Emphasis is on preparation for calculus. Prerequisite: MTH 101.
MTH 115 DISCRETE MATHEMATICS / 3 credits
Topics in Discrete Mathematics including sets and set operations, combinatorics, elements of graph theory. Prerequisite: MTH 101.
MTH 210 CALCULUS I / 4 credits
The study of limits, differentiation and integration of algebraic, trigonometric, logarithmic and exponential functions with their applications. Prerequisite: MTH 110 or permission of instructor.
MTH 220 CALCULUS II / 4 credits
Applications and techniques of integration, sequences, infinite series, and transcendental functions. Prerequisite: MTH 210 or permission of instructor.
MTH 230 CALCULUS III / 4 credits
Vectors and polar coordinates, functions of several variables, partial differentiation, multiple integration, and line integrals. Green’s Theorem, Stokes’ Theorem, and Gauss’ Theorem. Prerequisite: MTH 220 or permission of instructor.
MTH 290 FOUNDATIONS OF MODERN MATHEMATICS / 3 credits
An introduction to the method of formal proof. Topics include logic, set theory, relations, functions and cardinality. Prerequisite: MTH 210 or permission of instructor.
MTH 300 DIFFERENTIAL EQUATIONS / 3 credits
Ordinary differential equations and Laplace transforms. Prerequisite: MTH 220.
MTH 330 LINEAR ALGEBRA / 3 credits
Algebra of finite dimensional linear spaces, linear transformations and matrices, eigenvalues, eigenvectors. Prerequisites: MTH 220.
MTH 360 PROBABILITY AND STATISTICS / 3 credits
Elementary probability, distribution functions, sampling, and testing statistical hypothesis. Prerequisite: MTH 220.
MTH 380 MODERN GEOMETRY / 3 credits
A study of Euclidean and Non-Euclidean geometries. Prerequisite: MTH 290.
MTH 400 SECONDARY METHODS IN MATHEMATICS / 3 credits
To prepare mathematics students for their roles as secondary mathematics teachers.
MTH 415 NUMERICAL ANALYSIS / 3 credits
Error analysis, interpolation, approximate differentiation, approximate integration, solutions to differential equations, matrix manipulation, and solutions to systems of linear equations. Prerequisites: MTH 300 and CSC 110 or CSC 140. Same as CSC 415.
MTH 420 ABSTRACT ALGEBRA I / 3 credits
An introduction to the algebraic structure of the integers and groups, including equivalence relations, subgroups, normal subgroups, homomorphisms, Lagrange’s theorem, and Sylow’s theorem. Prerequisite: MTH 290 and MTH 330, or permission of instructor.
MTH 421 ABSTRACT ALGEBRA II / 3 credits
A continuation of MTH 420, including rings, fields, Galois theory, and solvability by radicals. Prerequisite: MTH 420.
MTH 440 MATHEMATICAL ANALYSIS I / 3 credits
The real numbers; sequences, compact sets and the Heine-Borel and Bolzano-Weierstrass theorems; limits; continuous, uniformly continuous, differentiable and integrable functions and the fundamental theorem of calculus; series. Prerequisite: MTH 220 and MTH 290.
MTH 441 MATHEMATICAL ANALYSIS II / 3 credits
A continuation of MTH 440 to multivariate calculus, including sequences and series of functions, uniform convergence and power series; partial derivatives, the Inverse and Implicit Function Theorems; multiple integrals. Prerequisites: MTH 440.
MTH 445 SPECIAL TOPICS / 3 credits
This course explores one or more advanced undergraduate topics in mathematics not included in the list of courses in the Catalog. The course name and appropriate prerequisites will be announced well in advance.
MTH 447 MATHEMATICS SEMINAR / 1-4 credits
Taken in the senior year, resulting in a paper to be presented to the faculty.
MTH 450 INDEPENDENT STUDY / 1-4 credits
Individual work on special topics in mathematics.