Engineering Major with Mathematics Minor

Course Description

Propositional and predicate logic, mathematical induction and other methods of proof, elementary number properties, sequences and recursion, set theory, functions, relations, permutations, combinations, probability, elementary graph theory, and applications.

Prerequisites

A grade of ‘C’ or better in MTH 149 or MTH 182. 

Course Description

Multivariate and vector calculus, including three-dimensional analytic geometry, partial derivatives, multiple integrals, vector calculus, line integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem. Only 2 of the 4 credits may be counted toward graduation by students who have passed MTH 283. The use of technology such as the graphing calculator is an integral part of the course.

Prerequisite

A grade of ‘C’ or better in MTH 182.

^{*Some engineering majors suggest taking MTH 283 - Multivariable Calculus For Engineers (2 credits) and/or MTH 284 - Matrices For Engineers (2 credits) in place of MTH 281 and MTH 288} 

Course Description

First-order differential equations, linear differential equations, first order systems, Laplace transform techniques, and applications. Course includes an introduction to the use of a computer algebra system, such as Maple or MATLAB.

Prerequisite

A grade of ‘C’ or better in MTH 182.

Course Description

Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors. Only two of the 3 credits may be counted toward graduation by students who have passed MTH 284. The use of technology such as the graphing calculator is an integral part of the course.

Prerequisite

A grade of ‘C’ or better in MTH 182.

^{*Some engineering majors suggest taking MTH 283 - Multivariable Calculus For Engineers (2 credits) and/or MTH 284 - Matrices For Engineers (2 credits) in place of MTH 281 and MTH 288} 

Course Description

Course covers issues of data collection, graphical and numerical summary techniques, basic probability, discrete random variables, continuous random variables, central limit theorem, confidence intervals, hypothesis testing of a proportion, hypothesis testing of a mean, 2 sample hypothesis testing, chi square testing, regression. Appropriate statistical software used extensively. Goals include developing deep understandings of these topics as appropriate for middle and secondary school teachers. STA 323 counts toward the statistics minor; one course from STA 323 or MTH/STA 347 counts toward the mathematics minor, but not both.

Prerequisites

A grade of “C” or better in MTH 182 or MTH 325. 

Course Description

Course covers numerical methods for solving nonlinear equations, systems of linear equations, interpolation problems, integration problems, and differential equations.

Prerequisites

Grades of “C” or better and at least 6 credits chosen from the following six courses: MTH 220, MTH 281, MTH 283, MTH 284, MTH 286 and MTH 288. ESC 250 and ESC 350 accepted with departmental permission.

Course Description

Numerical methods for solutions of ordinary and partial differential equations. Numerical differentiation and integration, Runge-Kutta methods, multi-step methods, and iterative methods for ordinary differential equations. Systems of differential equations and modeling. Introduction to partial differential equations. Course includes use of scientific programming language, such as Python or MATLAB.

Prerequisites

Grades of “C” or better in MTH 286. ESC 250 also accepted with departmental permission. 

Course Description

Deterministic and probabilistic models chosen from the areas of linear optimization, Markov chains, game theory, graphs and networks, axiom systems, growth processes, and queuing systems. Course includes use of a computer algebra system, such as Maple or MATLAB.

Prerequisites

A grade of “C” or better in MTH 284 or MTH 288, MTH 286, and at least one mathematics course numbered 300 or above or departmental approval. 

Course Description

This course studies fundamental tools and perspectives for Applied Mathematics. This includes various topics in ordinary and partial differential equations, integral equations, and calculus of variations, as well as specific applications to engineering and the sciences.

Prerequisites

A grade of ‘C’ or better in MTH 286, MTH 288, and at least one mathematics course numbered 300 or above. 

Course Description

Systems of differential equations, local and global behavior of a vector field in the plane, discrete dynamical systems, structural stability, the Poincare-Bendixon theorem, bifurcations, chaos, and strange attractors. Course includes use of a computer algebra system, such as Maple or MATLAB.

Prerequisites

A grade of ‘C’ or better in MTH 284 or MTH 288, MTH 286, and at least one mathematics course numbered 300 or above, or departmental approval.