MT 260 Pre-Calculus (3.00)
Reviews the fundamental topics from Algebra and Trigonometry that are necessary for success in calculus. Topics include graphs, polynominals, rational functions, trigonometric functions, exponentials, logs, and vectors.
MT 360A Calculus I (4.00)
Treats standard topics of single variable calculus including limits, continuity, derivatives, applications of derivatives, and elements of integration.
MT 360B Calculus II (4.00)
Continues treatment of single variable calculus including definite and indefinite integrals, applications of integrals, transcendental functions, techniques of integration and infinite series.
MT 360C Calculus III (4.00)
Presents topics of multivariable calculus including calculus of vector functions, multivariable functions, partial derivatives, multiple integrals, applications and other topics as time permits.
MT 401 Logic and Proof (3.00)
Provides an introduction to mathematical reasoning and proof writing. Topics include set theory, logic and methods of proof.
MT 405 Numerical and Computational Methods (3.00)
Uses computers in solving linear and nonlinear equations, approximation theory, numerical integration and differentiation, numerical solution of differential equations and linear programming.
MT 415 Linear Algebra (3.00)
Studies vector spaces, linear transformations, matrices, determinants, systems of equations, eigenvalues and characteristic matrices.
MT 420A Intro to Operations Rsrch I (3.00)
Summarizes matrix and vector algebra. Introduces hyperplanes and convex geometry in n-dimensions, scanning extreme points and tableau pivots, the simplex algorithm and slack variables, degeneracy and classification of linear programming problems, duality theory and shadow variables, imputed values and sensitivity analysis.
MT 420B Intro to Operations Rsrch II (3.00)
Introduces sequential search techniques, Fibonnacci search, three point interval search, convex functions, gradient techniques, exploratory sequences and accelerated pattern moves for an n-dimensional setting; the feasible direction algorithm; dynamic programming; active versus inactive constraints and penalty functions.
MT 423A Abstract Algebra I (3.00)
Provides an axiomatic treatment of basic concepts of groups, rings and fields.
Pre-requisite: TAKE MT*401;
MT 423B Abstract Algebra II (3.00)
A continuation of MT 423A.
MT 426 History/Found of Mathematics (3.00)
Discusses topics in ancient methods of numeration and calculation, the history and solution of classical problems, including topics from number theory, algebra, geometry, and calculus. Includes contributions of the great mathematicians, under-represented groups (including minorities and women), and diverse cultures. Investigates the role of mathematics in civilization.
MT 430 Intro to Mathematical Modeling (3.00)
Studies principles of constructing mathematical models using techniques such as: difference equations, proportionality, geometric similarity, graphical analysis and dimensional analysis, simulation with random numbers, and systems of differential equations.
MT 435 Applied Combinatorics (3.00)
Studies methods for counting arrangements and selections, generating functions, recurrence relations, the inclusion-exclusion principle, elements of graph theory, covering circuits, trees and searching and network algorithms. NOTE: Required for students preparing to teach secondary mathematics.
MT 437 Cryptography (3.00)
Includes a brief history of code making and code breaking, modern private key systems (AES), and public key cryptosystems.
MT 441 Modern Geometry (3.00)
Studies Euclidean and non-Euclidean geometries such as: Mobius, hyperbolic, elliptic, absolute and projective geometries. Geometries are studied using analytic methods and the relation to real-world situations. NOTE: Required for students preparing to teach secondary mathematics.
MT 454 Real Analysis (3.00)
Provides rigorous treatment of real numbers, functions, sets and limits-the foundations underlying Calculus. Studies sequences and series of numbers and functions, basis topology, continuity and differentiability of functions, and integration.
Pre-requisite: TAKE MT*401;
MT 460 Topology (3.00)
Covers the essential elements of point-set topology. Examines open and closed sets; topological spares; compactness; connectedness; separation axioms; continuity; metric spaces and completeness.
MT 463 Differential Equations (3.00)
Studies solutions first and second order different equations, applications, linear differential equations, series solutions, laplace transforms, numerical solutions, and systems of linear differential equations with constant coefficients.
MT 470A Mathematical Statistics I (3.00)
Introduces probability; distribution functions and moment generating functions, correlation and regression; development and applications of binomial, normal, student's T, chi square, and F distributions.
Cross listing(s): MT 472.
MT 470B Mathematical Statistics II (3.00)
A continuation of MT 470A.
Cross listing(s): MT 472.
MT 472 Probability and Statistics (3.00)
Introduces probability and statistics and the underlying mathematical theory, discrete and continuous distributions, sampling distributions, estimation, hypothesis testing and regression.
Pre-requisite: TAKE MT*360B;
MT 480 Complex Analysis (3.00)
Studies calculus of complex variables including: algebra of complex numbers, analytic functions, complex integration, series for complex functions and residue theory. Focuses on applications in mathematics and science. Examines the difference between real and complex variables.
MT 490E-W Independent Study/Math: (1.00 - 3.00)
Provides an opportunity for independent exploration of areas of interest.
MT 498E-W Internship/Mathematics (3.00)
Gain experience working with professional mathematicians and scientists in a technical field. Students will be able to relate the mathematics which they are learning in the classroom to the work they expect to be doing after graduation.