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Course Criteria
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3.00 Credits
A course which engages students in the creation of mathematical models to answer questions about a variety of phenomena. Students work in small teams on a sequence of projects which require the formulation, analysis, and critical evaluation of a mathematical model and conclude with the submission of a written report by each student. [W] Prerequisite: Mathematics 272 or 300 Offered: Fall semester Staff
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3.00 Credits
A study of some mathematical methods of decision making. Topics include: linear programming (maximizing linear functions subject to linear constraints), the simplex algorithm for solving linear programming problems, networks, probability, queueing and inventory problems, and applications. Prerequisite: Mathematics 272 or 300 or permission of instructor Offered: Spring semester Staff
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3.00 Credits
A course in the theory and applications of ordinary differential equations which emphasizes qualitative aspects of the subject. Topics include analytic and numerical solution techniques for systems of equations, graphical analysis, stability, existence-uniqueness theorems, and applications. Prerequisite: Mathematics 263, and 272 or 300 Offered: Spring semester of even-numbered years Staff
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3.00 Credits
An introduction to partial differential equations and their applications. Formulation of initial and boundary value problems for these equations and methods for their solution are emphasized. Separation of variables and Fourier analysis are developed. The course includes interpretation of classical equations and their solutions in terms of applications. Prerequisite: Mathematics 263 Offered: Spring semester of odd-numbered years Staff
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3.00 Credits
Various geometries are considered including absolute, Euclidean, and the classical non-Euclidean geometries. General properties of axiomatic systems, models, and the role of Euclidean geometry in the development of other branches of mathematics are discussed. Prerequisite: Mathematics 162 or permission of instructor Offered: Fall semester of even-numbered years Staff
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3.00 Credits
An introduction to the techniques and theory of enumeration of finite sets. Topics include combinations, permutations, generating functions, recurrence relations, the inclusion-exclusion principle, block designs, and graph theory. Prerequisite: Mathematics 263, or permission of instructor Offered: Fall semester of odd-numbered years Staff
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3.00 Credits
An introduction to the theory of the integers and techniques for their study and application. Topics include primality, modular arithmetic, arithmetic functions, quadratic residues, and diophantine equations. Prerequisite: Mathematics 263 or permission of instructor Offered: Spring semester of odd-numbered years Staff
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3.00 Credits
A development of basic probability theory including the axioms, random variables, expected value, the law of large numbers and the central limit theorem. Additional topics include distribution functions and generating functions. Prerequisite: Mathematics 263 Offered: Fall semester Staff
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3.00 Credits
A mathematical development of fundamental results and techniques in statistics. Topics include estimation, sampling distributions, hypothesis testing, correlation and regression. Prerequisite: Mathematics 335 Offered: Spring semester Staff
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3.00 Credits
A continuation of multivariable calculus from Mathematics 263 , using concepts from linear algebra. Topics include the derivative as a linear transformation, the Chain Rule, the Inverse and Implicit Function Theorems, the Change of Variables Theorem, and the integral theorems of Green, Gauss and Stokes; additional topics may include differential forms and series of functions. Prerequisite: Mathematics 263, and 272 or 300 Offered: Fall semester of odd-numbered years Staff
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