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Course Criteria
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3.00 Credits
An introduction to discrete mathematics and its applications. Topics selected from combinatorics, induction and recursion, logic and proof, algorithms and their analysis, discrete structures, sets and Boolean algebra. Emphasis on the use of mathematics as a tool to model and solve applied problems from a variety of disciplines. For students interested in computer science and modern applied mathematics. Not open to students who have taken MTH 310. 3 credits. S
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4.00 Credits
Study of functions, limits, continuity, derivatives, differentiation of algebraic functions, implicit differentiation, geometric and physical applications, mean value theorem, differentials, antidifferentiation, areas by integration, areas as limits of sums, the definite integral, fundamental theorem of the calculus, and differentiating and integration of trigonometric functions. 4 credits. F, S, SU
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3.00 Credits
The continuation of MTH 231. Topics include area under the curve, antiderivatives, techniques of integration, applications of the definite integral, and numerical techniques, improper integration, and Taylor polynomials. Prerequisite: MTH 231 or equivalent. Class meets four hours per week. 4 credits. F,S,SU
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3.00 Credits
Study of polar coordinates, solid analytic geometry, introduction to vector analysis, partial derivatives, directional derivatives, tangent lines and planes, line integrals, multiple integration, double and triple integrals, cylindrical and spherical coordinates, infinite series. Prerequisites: MTH 231, 232 or approval of department chair based on equivalent preparation. Class meets four hours a week. 4 credits. F
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3.00 Credits
A study of the more important properties of the natural number system: divisibility, primes, recurring series, congruences, quadratic residues, Diophantine equations. Prerequisite: MTH 231. 3 credits. AY
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3.00 Credits
Introduction to vectors, vector fields, vector space Rn, bases of Rn, subspaces, projections, matrices and determinants, linear mappings, matrix representations of linear mappings, matrices and systems of linear equations, rank, existence and uniqueness of solutions, eigenvalues and eigenvectors. Prerequisite: MTH 231. 3 credits. AY
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3.00 Credits
An introductory course in applied statistics. The basic ideas of analysis of data and statistical inference are introduced. Topics include discrete and continuous probability distributions, sampling distribution, confidence intervals, testing hypotheses, regression, correlation, chi-square tests, and analysis of variance. Applications drawn from economics, management sciences and life sciences. Use of appropriate technology. Prerequisites: MTH 134, MTH 231 or equivalent. 3 credits. FS, SU
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3.00 Credits
A course beyond the core offerings in mathematics for students of the liberal arts and education. A survey of the great events in the development of mathematics. The problems that led to these events, the people who shaped them, the context in which they arose, and their impact on culture. (Course may be applied toward a minor in mathematics but not toward the major.) 3 credits. AY
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3.00 Credits
A course in theoretical mechanics with emphasis on mathematical model building using the calculus. Introductory applications of vector analysis and ordinary differential equations in Newtonian mechanics will be studied to develop physical intuition and mathematical ability simultaneously. Three lectures per week. Same course as PHY 300. Prerequisites: Introductory calculus and PHY 101, or permission of department chair. 3 credits. N
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3.00 Credits
Standard methods of solution of ordinary differential equations of the first order and some special equations of higher order; general theory of linear differential equations; Green's functions; series solutions; applications. Prerequisite: MTH 232 or equivalent. 3 credits. AY
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