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Course Criteria
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3.00 Credits
Various methods of solution of ordinary differential equations, including fi rst-order techniques and higher-order techniques for linear equations. Additional topics include applications, existence theory, and the Laplace transform. Prerequisite: Mathematics 211. Spring. Schultheis, Staff
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3.00 Credits
Numerical techniques for solving applied mathematical problems. Topics include interpolation and approximation of functions, solution of non-linear equations, solution of systems of linear equations, and numerical integration, with error analysis and stability. Prerequisites: Mathematics 171 and a course in computer science. Fall, alternate years. Fraboni, Staff
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3.00 Credits
A calculus-based introduction to probability and statistical concepts and methods. Topics include descriptive statistics, probability, discrete and continuous probability distributions, regression analysis, sampling distributions and the central limit theorem, estimation and hypothesis testing. Prerequisite: Mathematics 171. Shank, Somers
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3.00 Credits
Group theory, including structure and properties: subgroups,co-sets, quotient groups, morphisms. Permutation groups, symmetry groups, groups of numbers, functions, and matrices. Brief study of rings, subrings, and ideals, including polynomial rings, integral domains, Euclidean domains, unique factorization domains, and fi elds. Prerequisite: Mathematics 216 or permission of instructor. Fall. Schultheis, Sevilla
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3.00 Credits
Differential and integral calculus of scalar and vector functions. Differential calculus includes differentials, general chain rule, inverse and implicit function theorems, and vector fi elds. Integral calculus includes multiple integrals, line integrals, surface integrals, and theorems of Green and Stokes. Prerequisite: Mathematics 211. Fall. Hartshorn, Sevilla
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3.00 Credits
Rigorous study of real-valued functions, metric spaces, sequences, continuity, differentiation, and integration. Prerequisites: Mathematics 211 and Mathematics 216 or 220. Spring, alternate years. Fraboni, Staff
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3.00 Credits
Analytic functions, complex integration, application of Cauchy's theorem. Prerequisite: Mathematics 211. Spring, alternate years. Fraboni, Schultheis
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3.00 Credits
Development of statistical concepts and methods. Multivariate probability distributions, point and interval estimation, regression analysis, analysis of variance, chi-square goodness-of-fi t and contingency table analysis, and nonparametric tests. Prerequisite: Mathematics 231. Spring. Shank, Somers
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3.00 Credits
Topics in Euclidean two- and three-dimensional geometry from classical (synthetic), analytic, and transformation points of view. Transformations include isometries, similarities, and inversions. Construction and properties of two- and threedimensional geometric fi gures. Brief study of some non-Euclidean geometries. Prerequisite: Mathematics 216 or 220. Fall, alternate years. Writing-intensive. Hartshorn, Staff
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3.00 Credits
A capstone course designed to review, unify, and extend concepts developed in previous mathematics courses. Students will read historical, cultural, and current mathematical material. They will express their mathematical understanding through writings, oral presentations, and class discussions. Assignments will include both expository and research-oriented styles of writing, including a signifi cant individual research project. Fraboni, Staff
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