Four hours lecture per week. First order equations, second order linear equations, linear systems of equations, numerical methods, nonlinear systems and phase place analysis, matrices and linear systems, matrix operations, determinants, linear transformations, vector spaces, eigenvalues and eigenvectors. Prerequisite: grade of C or higher in 221. QL

Random variables, probability theory, application, and simulation. The binomial, Poisson, geometric, normal, gamma, and chi-square distributions are studied. Additional topics covered as determined by the instructor. Prerequisite: grade of C or higher in 220; grade of C or higher in 130 or 230. QL

Data analysis using simulation, machine learning algorithms: logistic regression, Naive Bayes, decision trees, k-means, k-nearest neighbors, and dimension reduction (principal component analysis). Students will learn how to test and validate models as well as format and display data. A data analysis project will be completed. Prerequisite: grade of C or higher in 230.

Study of elementary number theory, groups, rings, and fields. Specific examples and additional topics selected by instructor. Prerequisite: grade of C or higher in 112. QL

An introduction to mathematical modeling, computer simulation, and procedural programming. Various deterministic, stochastic, and simulation models are covered, with applications to engineering, physics, biology, chemistry, business, and other areas. Requirements include modeling projects with written reports and class presentations. Prerequisite: acceptable placement score or grade of C or higher in 220, 325. (Equivalent to ENGR 365). QL, WCII

An introduction to the analysis of the real number system. Topics include continuity, differential calculus, integral calculus, sequences and series. Prerequisite: grade of C or higher in 221. QL

Topics in Euclidean and other geometries; foundations of geometry; place of Euclidean geometry among other geometries. Offered every other year. Prerequisite: grade of C or higher in 260. QL

Courses on topics of interest to mathematics students offered on the basis of need, interest, or timeliness. Prerequisites: as determined by the instructor. Restricted to students with juniorstanding or higher. May be repeated for credit. For specific section description, click to the Section Details in VitNet.

Students will participate in an off campus applied mathematics internship. Internship placements may be with or without pay, and must be established prior to enrollment in this course in consultation with career services office and/or a mathematics faculty member. May be repeated for credit. Restricted to students with junior or senior standing. Graded CR/NC.

Mathematical logic and proofs are introduced and used to discuss sets, functions, mathematical induction, and countability. Counting methods are covered which include permutations, combinations, and applications to probability. Introductory graph theory topics may include isomorphisms, Euler and Hamiltonian circuits, directed graphs, spanning trees. Computer programming is used to carry out various algorithms throughout the course. Prerequisite: acceptable placement score or grade of C or higher in MATH 112.