Non-classroom experiences in the field of mathe- matics. Placements are off-campus, and may be full- or part-time, and with or without pay. Credit for experiences must be sought prior to occurance, and learning contracts must be submitted before the end of the first week of the semester. See the experiential learning: internship section of this catalog for more details. Restricted to students with freshman or sophomore standing. Graded CR/NC.

Independent reading and/or research under the guidance of a mathematics faculty member. Refer to the academic policy section for independent study policy. Independent study contract is required. May be repeated for credit.

Multivariate calculus: three-dimensional coordinate system, vectors functions, partial differentiation, multiple integration, integration in vector fields, and applications. Prerequisite: C or higher in 221. QL

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

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.