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Course Criteria
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3.00 Credits
Important periods in the history of mathematics, including the mathematics of Ancient Babylon, Mespotamia, Greece, China and India; mathematics of medieval Europe, the Middle East and the Renaissance; the development of geometry, algebra and calculus. Other areas in the development of mathematics and the philosophy of mathematics will be studied as time permits. For students of mathematics, science, history and philosophy. Prerequisites: MATH F253X; MATH F265. Offered Spring Odd-numbered Years
Prerequisite:
(MATH F202X UF C- OR MATH F253X UF C- ) AND MATH F265 UF C-
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3.00 Credits
Introduction to some fundamental ideas of combinatorics. Topics selected from such fields as enumerative combinatorics, generating functions, set systems, recurrence relations, directed graphs, matchings, Hamiltonian and Eulerian graphs, trees and graph colorings. Offered Fall Odd-numbered Years Prerequisites: MATH F265.
Prerequisite:
MATH F215 UF C- OR MATH F265 UF C-
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3.00 Credits
The theory of numbers is concerned with the properties of the integers, one of the most basic of mathematical sets. Seemingly naive questions of number theory stimulated much of the development of modern mathematics and still provide rich opportunities for investigation. Topics studied include classical ones such as primality, congruences, quadratic reciprocity and Diophantine equations, as well as more recent applications to cryptography. Additional topics such as continued fractions, elliptical curves or an introduction to analytic methods may be included. Prerequisites: MATH F265. Offered Fall Even-numbered Years
Prerequisite:
MATH F215 UF C- OR MATH F265 UF C-
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3.00 Credits
Probability spaces, conditional probability, random variables, continuous and discrete distributions, expectation, moments, moment generating functions and characteristic functions. Prerequisites: MATH F253X. Offered Fall Odd-numbered Years
Prerequisite:
MATH F202X UF C- OR MATH F253X UF C-
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1.00 - 6.00 Credits
No course description available.
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3.00 - 12.00 Credits
No course description available.
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3.00 Credits
Completeness of the real numbers and its consequence, convergence of sequences and series, limits and continuity, differentiation, the Riemann integral. Prerequisites: WRTG F111X; WRTG F211X, WRTG F212X, WRTG F213X or WRTG F214X; MATH F253X; MATH F265. Offered Fall
Prerequisite:
(MATH F215 UF C- OR MATH F265 UF C- ) (AND MATH F202X UF C- OR MATH F253X UF C- ) (AND CORE F1 UF T T OR CORE F1AA UF T T OR CORE F1AS UF T T (OR (ENGL F111X UF C- OR WRTG F111X UF C- OR WRTG F1X UF C- OR ENGL F1X UF C- OR EACE 60 OR S11 710 OR SATE 1340 ) (AND ENGL F211X UF C- OR WRTG F211X UF C- OR ENGL F212 UF C- OR WRTG F212X UF C- OR WRTG F213X UF C- OR WRTG F214X UF C- OR WRTG F2X UF C- OR ENGL F213X UF C- OR ENGL F2X UF C- ) ) )
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3.00 Credits
Introduction to topological spaces, set theory, open sets, compactness, connectedness, product spaces, metric spaces and continua. Prerequisites: MATH F253X; MATH F265. Recommended: MATH F314 and/or MATH F405. Offered Fall Even-numbered Years
Prerequisite:
(MATH F215 UF C- OR MATH F265 UF C- ) (AND MATH F202X UF C- OR MATH F253X UF C- )
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3.00 Credits
Theory of groups, rings and fields. Prerequisites: WRTG F111X; WRTG F211X, WRTG F212X, WRTG F213X or WRTG F214X; MATH F265. Recommended: MATH F307 and/or MATH F314. Offered Spring
Prerequisite:
(MATH F215 UF C- OR MATH F265 UF C- ) (AND (CORE F1 UF T T OR CORE F1AA UF T T OR CORE F1AS UF T T ) (OR (ENGL F111X UF C- OR WRTG F111X UF C- OR WRTG F1X UF C- OR ENGL F1X UF C- OR EACE 60 OR S11 710 OR SATE 1340 ) (AND ENGL F211X UF C- OR WRTG F211X UF C- OR ENGL F212 UF C- OR WRTG F212X UF C- OR WRTG F213X UF C- OR WRTG F214X UF C- OR WRTG F2X UF C- OR ENGL F213X UF C- OR ENGL F2X UF C- ) ) )
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3.00 Credits
Distribution of random variables and functions of random variables, interval estimation, point estimation, sufficient statistics, order statistics, and test of hypotheses including various criteria for tests. Prerequisites: MATH F371; STAT F200X. Offered Spring Even-numbered Years
Prerequisite:
STAT F200X UF C- AND MATH F371 UF C-
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