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Course Criteria
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3.00 Credits
A rigorous study of point-set topology, including topics such as open and closed sets, subspaces, continuity and convergence, separation axioms, connectedness, compactness, and product spaces.
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3.00 Credits
An introduction to the theory and applications of graph theory. Topics include basic graph theory, Eulerian and Hamiltonian graphs, trees, planarity, duality, graph coloring, graph algorithms, and various practical applications. Cross-listed as CS360.
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3.00 Credits
An introduction to the study of randomness. Topics include discrete and continuous probability distributions, conditional probability, independence, combinatorial probability, expected value and variance, and laws of large numbers. Prerequisite: MS203.
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3.00 Credits
An introduction to statistics, including point estimation, confidence intervals and hypothesis tests. Topics include goodness of fit tests, contingency tables, linear and nonlinear regression, correlation, analysis of variance, and use of the t, F, Z and chi-squared distributions to draw inferences about means and variances of one or two populations. Emphasis on deriving the statistical tests in addition to using them to draw statistical conclusions. Prerequisite: MS371.
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1.00 - 3.00 Credits
Independent Study
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3.00 Credits
Special Topics
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3.00 Credits
A study and analysis of common numerical methods used in applied mathematics. Topics covered include solutions of nonlinear equations by the bisection method and Newton's method, the solution of systems of linear equations by Guassian, Gauss-Jordan, and iterative techniques, interpolation techniques including polynomials and splines, numerical differentiation and integration, and the numerical solution of differential equations. Prerequisite: CS100 or CS101. Cross-listed as CS392.
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1.00 - 3.00 Credits
Seminar
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1.00 Credits
Prerequisite: MS 203 and MS 245 and MS255 or permission of instructor. A one credit course designed to broaden students' exposure to mathematics. Students in this course are required to research and present talks on two papers, one in the area of pure mathematics and one in applied mathematics. Students are also required to attend a series of colloquia talks by other students, faculty, and outside guests focusing on mathematics and its applications. Grading: P/F
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3.00 Credits
The continuation of MS301. Topics include limits of functions, continuity, mean value theorems, differentiation, the Riemann integral, and the convergence of sequences and series of functions. Prerequisite: MS301.
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