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Course Criteria
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3.00 Credits
Groups and their fundamental properties, permutation groups, cyclic groups, subgroups, Lagrange's theorem, and homomorphisms and isomorphisms of groups. Introduction to rings. Prerequisites: Mat 215 and 230. Fl, Sp-3-
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3.00 Credits
Introduction to the theory and practice of cryptography and cryptanalysis. Theoretical underpinnings of modern cryptosystems will be examined and unproven assumptions exposed. Both symmetric- and public-key cryptosystems will be covered. Applications of cryptography to identification, authentication and non-repudiation protocols. Zero-knowledge protocols and oblivious transfer. Cryptanalytical attacks. Economic, political and ethical issues raised by strong cryptography will be discussed. Prerequisites: CSC 241 and MAT 215. Ir-3-
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3.00 Credits
The classical axiom systems of Euclid and Hilbert. Models are used to illustrate the theory. Historical aspects and alternative systems are presented. Prerequisite: Mat 215 and 230. Fl-3-
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3.00 Credits
Line and surface integrals, Green's theorem, the divergence theorem, and Stoke's theorem. Properties of real numbers, convergence of sequences and series, and analysis of functions of one variable including metric topology, limits, continuity, uniform continuity, differentiability, and Riemann integrability. Prerequisites: Mat 215 and 240. Fl, Sp-3-
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3.00 Credits
First order differential equations in one independent variable; constructive existence and uniqueness proofs, solutions containing parameters, continuation of solutions; extension to higher order differential equations, vector spaces and systems of linear differential equations. Prerequisite: Mat 240 or permission of the instructor and the Mathematics Department Chair. Fl-3-
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3.00 Credits
This course is a calculus-based introduction to the theory of probability. It is designed for the prospective secondary school mathematics teacher. Topics include: the algebra of sets, the probability function, conditional probability, discrete and continuous random variables, simulation, sampling distributions and an introduction to game theory and Markov chains. Technology will be implemented in simulation exercises and data analysis. Both Mat 350 and 354 cannot be used to satisfy requirements in the same degree program. Prerequisites: Mat 215, 220, and 230. Sp-3-
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3.00 Credits
Basic concepts of Forecasting; Trendline Fitting and Forecasting from Time Series Models; the Box-Jenkins approach to Model Building; Regression Methods and Economet-ric Models: Survey Data; Leading Indicators; Evaluation of Forecasts. Not open for math credit to math majors or secondary education concentrators. Prerequisites: Mat 208 or 210 and Mat 258. Fl-3-
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3.00 Credits
Introduction to the methodology of statistical quality and process control. Topics will include control charts and their applications, process capability analysis, acceptance sampling procedures, and reliability concepts. (Not open for mathematics credit to mathematics majors or to secondary education majors in the mathematics concentration.) Prerequisite: Mat 258. Ir-3-
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3.00 Credits
This course is designed to provide students with experience in using mathematics to solve practical problems. Examples of successful modeling of real-world problems will be studied, along with the strategies used in the modeling process. Students will acquire the ability to make simplifying assumptions in mathematical formulations of problems, to describe models in verbal and written presentations, and to use computer packages to analyze models. Prerequisites: Mat 210, 220, and 230, or one course in calculus plus two statistics courses (Mat 158, 258 or Psy 280, 290) or permission of instructor. Ir-3-
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3.00 Credits
Probability models, expectations, random variables, discrete and continuous density functions, moment generating functions, sampling theory, parameter estimation, hypothesis testing. Prerequisite: Mat 240 or permission of the instructor and the Mathematics Department Chair. Fl-3-
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