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Course Criteria
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3.00 Credits
(Fall; Odd Years; 3.00 Credits; QM,N) Advanced counting: what they didn't teach you on Sesame Street. An introduction to graphs, trees, and enumeration techniques with applications to computer science and biology. Prerequisites: MA210 or MA220 or permission of the instructor.
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3.00 Credits
(Spring; Even Years; 3.00 Credits; QS,N) Topics in mathematical statistics including discrete and continuous random variables, expectations, mean, variance. moment generating functions, multivariate distributions, correlation, and independence, all leading to an efficient study of the binomial, Poisson, gamma, chi-square, and normal distributions. Note: MA 235 is recommended. Prerequisites: MA 220 and MA 230.
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3.00 Credits
(Spring; Yearly; 4.00 Credits; QM,N) Theory and application of ordinary differential equations. Emphasis on modern qualitative techniques, with numerical and analytical approaches used when appropriate. Contains a brief introduction to partial differential equations. Prerequisites: MA130 and MA230 and MA235 or MA233.
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3.00 Credits
(Spring; Even Years; 3.00 Credits; QM,N) Theory and application of numerical approximation techniques. Topics included are numerical error, root-finding, interpolation and polynomial approximation, numerical differentiation and integration, and differential equations. Prerequisites: MA 160 and MA 130 and CS 110 or permission. (Also listed as CS 340.)
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3.00 Credits
(Spring; Odd Years; 3.00 Credits; N) Examines the history and development of geometry with an axiomatic development of Euclidean geometry leading to an investigation of hyperbolic and elliptical non-Euclidean geometries. The roles of these discoveries in the history of mathematics are emphasized. Prerequisites: MA210 or PL208 or MA 208.
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3.00 Credits
(Spring; Odd Years; 1.00 Credit) An introduction to the history and philosophy of mathematics. Briefly traces the historical development of mathematics from its Oriental and Greek origins to modern times. Surveys the different philosophies of mathematics and provides some insight into the current crisis in the foundations of mathematics. Corequisite: MA 350. Prerequisite: MA 210 or PL208 or MA208.
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3.00 Credits
(Spring; Even Years; 3.00 Credits; CW) Investigates the algebraic properties of the real numbers and their generalizations. Emphasis on group theory, with introductions to integral domains, rings, fields and vector spaces. Prerequisites: MA160 and MA210.
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3.00 Credits
(Spring; Odd Years; 3.00 Credits; N) Focuses on functions of a real variable, sequences, limits, continuity, differentiation and the derivation of standard theorems of the differential calculus. Prerequisites: MA210 and MA230 and MA235.
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4.00 Credits
(Variable; Variable; 1.00-4.00 Credits; N) An introduction to one of the branches of mathematics not currently included in the regular course offerings, such as number theory, complex analysis, topology, graph theory, mathematical logic. Prerequisites: Vary depending on course offering. Note: abbreviated ST: (like CS 399): students may take each ST: course for credit.
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3.00 Credits
(Fall; Yearly; 1.00 Credit; N) A discussion-based study of current mathematical literature and modeling problems. Students will both apply their previous mathematical knowledge and explore new topics. In addition, students may use this course as preparation for an individual research project to be completed in MA485. A junior taking this course may repeat it as a senior as MA481. Prerequisites: junior or senior standing, MA160 and MA210 and MA235 or permission of the instructor.
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