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MATH 466: Introduction to Real Analysis II
3.00 Credits
Bowling Green State University-Main Campus
Spring. The Riemann-Stieltjes integral; sequences of functions; series of real numbers; series of functions; and optional topics selected from transcendental functions, special functions, Fourier series and metric spaces. Prerequisite: C or better in MATH 465 or consent of instructor.
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MATH 466 - Introduction to Real Analysis II
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MATH 470: Readings in Mathematics
1.00 - 3.00 Credits
Bowling Green State University-Main Campus
Independent study of a topic of particular interest to an advanced student under the direction of a faculty member. May be repeated. Prerequisites: consent of instructor and chair of department.
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MATH 470 - Readings in Mathematics
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MATH 489: Internship
1.00 - 4.00 Credits
Bowling Green State University-Main Campus
Internship for majors in mathematics or statistics in the cooperative education program. Written report required. May be repeated with permission. Does not apply toward major or minor. Prerequisite: permission of department. Graded S/U.
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MATH 489 - Internship
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MATH 495H: Honors Course in Mathematics
1.00 Credits
Bowling Green State University-Main Campus
Directed study in some field of mathematics; preparation and presentation of research topic. To be taken concurrently with two or more hours of MATH 470. Prerequisite: invitation of department.
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MATH 495H - Honors Course in Mathematics
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MATH 501: Number Theory
3.00 Credits
Bowling Green State University-Main Campus
Fall (odd years). Divisibility, prime numbers, linear congruences, Chinese Remainder Theorem, quadratic residues, quadratic reciprocity law, numerical functions, factorization of integers, Fibonacci numbers, elementary diophantine equations and applications. Prerequisite: C or better in MATH 322 and MATH 332 or consent of instructor.
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MATH 501 - Number Theory
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MATH 502: Modern Geometry
3.00 Credits
Bowling Green State University-Main Campus
Fall, Spring. Axiomatic development of neutral and Euclidean geometry. Introduction to non-Euclidean geometry. Prerequisite: MATH 339 or MATH 403 or consent of instructor.
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MATH 502 - Modern Geometry
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MATH 503: Modern Algebra I
3.00 Credits
Bowling Green State University-Main Campus
Fall. Topics from groups, and rings; normal subgroups, homomorphisms, cyclic groups, permutation groups, Lagrange and Cayley's theorem, factor groups, abelian groups, direct products, integral domains, ideals and factor rings, ring isomorphisms, polynomial rings. Prerequisites: MATH 233, MATH 322, and MATH 332, or consent of instructor.
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MATH 503 - Modern Algebra I
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MATH 504: Modern Algebra II
3.00 Credits
Bowling Green State University-Main Campus
Continuation of topics from MATH 503; vector spaces, extensions of fields, finite fields. Prerequisite: MATH 503 or consent of instructor.
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MATH 504 - Modern Algebra II
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MATH 511: History of Mathematics
3.00 Credits
Bowling Green State University-Main Campus
Fall, Spring. History of mathematics through calculus. Prerequisite: consent of instructor.
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MATH 511 - History of Mathematics
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MATH 517: Advanced Mathematics Topics for Early Adulthood Teachers
3.00 Credits
Bowling Green State University-Main Campus
Spring. Topics from the middle and second school mathematics curricula presented from an advanced point of view. Topics include the development of various number systems, the meaning of area, the fundamental theorem of calculus, infinite cardinalities, and classical problems of geometry. History of math integrated into the course. Prerequisite: consent of instructor. Open only to M.A.T. students.
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MATH 517 - Advanced Mathematics Topics for Early Adulthood Teachers
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