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Course Criteria
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1.00 Credits
Intermediate-This course is an introduction to combinatorial reasoning. Topics include graphs, circuits in graphs, graph coloring, trees, counting principles, generating functions, and recurrence relations. This course is offered in the spring semester, 2007-2008 and alternate years. Prerequisite; Mathematics 223 or consent of instructor. Students may not present both Mathematics 108 and Mathematics 219 for credit towards graduation. Credits: 1
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1.00 Credits
Intermediate-A development of Euclidean and non-Euclidean geometries from a modern viewpoint. This course is offered in the spring semester, 2007-2008 and alternate years. Prerequisite: Mathematics 112 or permission of the instructor. Credits: 1
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1.00 Credits
Intermediate-A study of elementary number theory. Topics include divisibility, congruences, properties of prime numbers, number theoretic functions, diophantine equations, and additional selected topics. This course is offered in the fall semester. Prerequisite: Mathematics 112 or consent of the instructor. Credits: 1
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1.00 Credits
Intermediate-An introduction to linear mathematics. Linear systems of equations, matrices, determinants, vector spaces, bases and dimension, function spaces, linear transformations, eigenvalues and eigenvectors, inner products, and applications. An important aspect of the course is to introduce the student to abstract thinking and proofs. Prerequisites: Mathematics 112, departmental placement examination, AP examination, or permission of the department. Credits: 1
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1.00 Credits
Intermediate-Introduction to ordinary differential equations. Special solution techniques and some theory for first-order and linear equations including integrating factors, constant coefficients, undetermined coefficients, variation of parameters, power series solutions, Laplace transforms, and systems of differential equations, applications. This course is offered in the spring semester. Prerequisites: Mathematics 112 and 223. Credits: 1
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1.00 Credits
Intermediate-Calculus in higher dimensions. Limits, continuity, differentiability, directional derivatives, constrained and unconstrained optimization, geometry of curves, multiple integrals, general coordinate systems, path and surface integrals, vector calculus, theorems of Green and Stokes, applications. This course is offered in the fall semester. Prerequisites: Mathematics 112 and 223. Credits: 1
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1.00 Credits
Intermediate-Linear and nonlinear optimization, linear programming, integer programming, duality, combinatorics, the simplex method and related algorithms, game theory, Markov chains, queuing theory. This course is offered in the spring semester, 2008-2009 and alternate years. Prerequisite: Mathematics 223 or consent of the instructor. Credits: 1
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1.00 Credits
Intermediate-General theory and application of probability and statistics, including probability for finite sample spaces, discrete and continuous distributions, marginal and conditional distributions, mathematical expectation, variance, moment-generating functions, functions of random variables, the Central Limit Theorem, sampling distributions, the methods of estimation and their application, hypothesis testing, regression and correlation. This course is irregularly offered. Prerequisite: Mathematics 112. Credits: 1
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1.00 Credits
Intermediate-General theory and application of probability and statistics, including probability for finite sample spaces, discrete and continuous distributions, marginal and conditional distributions, mathematical expectation, variance, moment-generating functions, functions of random variables, the Central Limit Theorem, sampling distributions, the methods of estimation and their application, hypothesis testing, regression and correlation. This course is irregularly offered. Prerequisite: Mathematics 227. Credits: 1
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1.00 Credits
Advanced-A course to develop the basic skills of formulation, simplification, and analysis of mathematical models for describing and predicting phenomena in the natural and social sciences, with special emphasis in modeling with differential equations. Topics may be taken from fields such as physics, chemistry, biology, psychology, economics, and political science. This course is offered in the fall semester, 2008-2009 and alternate years. Prerequisite: Mathematics 224. Credits: 1
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