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Mathematics 313: Functions of a Complex Variable
3.00 Credits
Colgate University
D. Lantz, J. Moorhouse, D. Schult An introductory study of functions in the complex plane. Topics include complex numbers and functions, the theory of differentiation and integration of complex functions, sequences and series of complex functions, conformal mapping. Special attention is given to Cauchy's integral theorem. Prerequisite: MATH 113. Offered in the fall only, in alternate years.
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Mathematics 313 - Functions of a Complex Variable
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Mathematics 316: Probability and Statistics I
3.00 Credits
Colgate University
E. Hart, A. Robertson An introduction to the basic concepts of probability and mathematical statistics: axioms and properties of probability, continuous and discrete random variables, mathematical expectation, variance, the normal, binomial, Poisson, and other important distributions. Additional topics include functions of random variables, the Central Limit Theorem, and sampling distributions (Chi-square, t, and F). Prerequisite: MATH 113. Offered in the fall.
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Mathematics 316 - Probability and Statistics I
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Mathematics 317: Probability and Statistics II
3.00 Credits
Colgate University
E. Hart, A. Robertson A continuation of MATH 316 with emphasis on applications. Topics include point estimation, the method of moments, maximum likelihood, hypothesis testing, confidence intervals, analysis of variance, regression, and correlation. Prerequisite: MATH 316. Offered in the spring only, in alternate years.
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Mathematics 317 - Probability and Statistics II
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Mathematics 320: Abstract Algebra I
3.00 Credits
Colgate University
E. Hart, D. Lantz, D. Saracino, K. Valente An introduction to the basic structures of abstract algebra including groups, rings, integral domains, and fields. Prerequisite: MATH 250 with a grade of C or better. Offered in the spring.
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Mathematics 320 - Abstract Algebra I
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Mathematics 323: Real Analysis I
3.00 Credits
Colgate University
J. Moorhouse, D. Saracino, T. Tucker A rigorous treatment of the basic concepts of real analysis, including limits, continuity, the derivative, and the Riemann integral. Prerequisites: MATH 113 and 250 with a grade of C or better. Offered in the fall.
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Mathematics 323 - Real Analysis I
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Mathematics 327: Geometry
3.00 Credits
Colgate University
D. Lantz, T. Tucker A study of several geometrical systems, with emphasis upon a development of Euclidean geometry that meets current standards of rigor. Prerequisite: MATH 250. Offered in the fall only, in alternate years.
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Mathematics 327 - Geometry
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Mathematics 329: Numerical Analysis
3.00 Credits
Colgate University
J. Rivera, D. Schult, A. Strand An introductory treatment of methods used for numerical approximation. Topics include roots of equations, simultaneous linear equations, quadrature, and other fundamental processes using high speed computing devices. Prerequisite: MATH 113. Offered in the spring only, in alternate years.
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Mathematics 329 - Numerical Analysis
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Mathematics 331: Theory of Numbers
3.00 Credits
Colgate University
D. Saracino, T. Tucker This course continues the study of number theory begun in MATH 250 and includes the Quadratic Reciprocity Law of Gauss, Diophantine equations, and topics from algebraic number theory. Prerequisite: MATH 320 or permission of the instructor. Offered in the spring only, in alternate years.
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Mathematics 331 - Theory of Numbers
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Mathematics 342: Topology
3.00 Credits
Colgate University
E. Hart, J. Moorhouse An introduction to various concepts in general topology, including metric spaces, topological spaces, continuity, compactness, connectedness, and the separation axioms. Prerequisites: MATH 323. Offered in the spring only, in alternate years.
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Mathematics 342 - Topology
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Mathematics 399: Mathematical Problem Solving
3.00 Credits
Colgate University
J. Rivera, A. Robertson This capstone seminar presents students with numerous and varied problems, drawn from many different mathematical areas, both pure and applied. There are weekly problem sets in addition to the presentation of a semester-long "project problem." Required of all mathematics majors, the course is offered in the spring with enrollment normally open only to seniors.
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Mathematics 399 - Mathematical Problem Solving
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