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Course Criteria
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3.00 Credits
Development of probabilistic concepts in discrete and absolutely continuous cases. Classical combinatorial methods, independence, random variables, distributions, moments, transformations, conditioning, confidence intervals, estimation. Open to Watson School students only. Does not serve as a prerequisite for MATH 448 or for any actuarial science courses. Prerequisite: MATH 222 or consent of department. fall only
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3.00 Credits
Careful discussion of the real numbers, the rational numbers and the integers, including a thorough study of induction and recursion. Countable and uncountable sets. The methodology of mathematics: basic logic, the use of quantifiers, equivalence relations, sets and functions. Methods of proof in mathematics. Training in how to discover and write proofs. Prerequisite: MATH 222. every sem.
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3.00 Credits
Basic concepts of actuarial mathematics: theory of interest, annuities, bonds, life tables, utility theory and risk models, life tables and survival functions. Material focuses on the actuarial mathematics requirements for the actuarial examinations. Prerequisite: Math 222 or consent of department. fall only
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3.00 Credits
Ordinary differential equations. Emphasis on applications to problems in physics, chemistry, biology, economics, etc. Prerequisite: MATH 222. fall only
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3.00 Credits
Analytic functions. Cauchy's integral theorem, power series. Prerequisite: MATH 323. spring only
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3.00 Credits
Directed and undirected graphs, trees, connectivity, Eulerian and Hamiltonian graphs, planar graphs, coloring of graphs, graph parameters, optimization and graph algorithms. Prerequisites: MATH 304, and either MATH 314 or 330, or consent of department. spring only
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3.00 Credits
Topics from among counting techniques, generating function and recurrence relations, pigeonhole principle, Ramsey's Theorem, Latin squares, combinatorial designs. Prerequisites: MATH 304 and either MATH 314 or 330, or consent of department. fall only
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3.00 Credits
Independent study through teaching in particular mathematics course. Various assignments closely directed by instructor in course, including development of syllabi and other course materials; construction and reading of examinations; lecturing and/or discussion leadership; laboratory supervision; academic counseling of student. May be repeated for total of no more than eight credits. Credits may not be earned in conjunction with course in which student is currently enrolled. Does not satisfy major or Harpur College Distribution requirements. Prerequisite: consent of instructor. Pass/Fail only. var. cr.
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3.00 Credits
Groups, rings, integral domains, fields. Prerequisites: MATH 304 and 330, or consent of department. fall only
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3.00 Credits
Further study of topics in MATH 401. Vector spaces, modules, lattices, Galois theory. Prerequisite: MATH 401. spring only
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