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MATH 421: Combinatorics I
3.00 Credits
Valparaiso University
Theory of combinatorics, including elementary counting techniques, generating functions, Polya's Theorem, and an introduction to graph theory. A variety of applications are discussed depending on the interests of the students. Prerequisite: MATH 264.
Prerequisite:
MATH-264
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MATH 421 - Combinatorics I
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MATH 422: Combinatorics II
3.00 Credits
Valparaiso University
A continuation of MATH 421, with topics selected from Ramsey Theory, coding theory, algorithmic graph theory and network theory. Prerequisite: MATH 421 or consent of the instructor.
Prerequisite:
MATH-421
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MATH 422 - Combinatorics II
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MATH 451: Analysis I
3.00 Credits
Valparaiso University
Properties of real numbers; theory of continuity, differentiation and integration of realvalued functions of a real variable; sequences, series, and uniform convergence. Prerequisites: MATH 132 and 264.
Prerequisite:
MATH-152 AND MATH-264
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MATH 451 - Analysis I
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MATH 452: Analysis II
3.00 Credits
Valparaiso University
Theory of continuity and differentiation of real and vector-valued multi-variable functions; multiple integration and the Jacobian; implicit and inverse function theorems; topology of real nspace. Prerequisites: MATH 253 and 451.
Prerequisite:
MATH-253 AND MATH-451
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MATH 452 - Analysis II
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MATH 461: Abstract Algebra I
3.00 Credits
Valparaiso University
A study of mathematical structures: groups, rings, and fields. Properties of groups; substructures, quotient structures, and homomorphisms. Prerequisite: MATH 264.
Prerequisite:
MATH-264
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MATH 461 - Abstract Algebra I
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MATH 462: Abstract Algebra II
3.00 Credits
Valparaiso University
A continuation of MATH 461. Topics may include a more detailed study of rings, polynomial rings, field extensions, field automorphisms, an introduction to Galois theory, further work in group theory, an introduction to additional structures. Prerequisite: MATH 461.
Prerequisite:
MATH-461
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MATH 462 - Abstract Algebra II
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MATH 489: The Teaching of Mathematics
3.00 Credits
Valparaiso University
(See ED 489.) A study of the methods of teaching mathematics in secondary schools. A field component is required. Prerequisite: admission to Teacher Education. This course may not be counted toward a major or minor in Mathematics.
Prerequisite:
ED-300
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MATH 489 - The Teaching of Mathematics
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MATH 490/590: Advanced Topics in Mathematics (formerly MATH 491/591)
1.00 - 3.00 Credits
Valparaiso University
An advanced course for mathematics majors. The topic studied, which may change from year to year, is ordinarily one of the following: number theory, advanced abstract algebra, differential geometry, partial differential equations, measure and integration or functional analysis. Specific course requirements depend on the content.
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MATH 490/590 - Advanced Topics in Mathematics (formerly MATH 491/591)
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MATH 492: Research in Mathematics
1.00 - 3.00 Credits
Valparaiso University
Each student must undertake a research problem in mathematics under the direction of a faculty member. Written and oral reports are required. Prerequisite: consent of the Chair of the Department. S/U grade.
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MATH 492 - Research in Mathematics
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MATH 493/593: Seminar in Applied Statistics
3.00 Credits
Valparaiso University
(Also offered as ECON 493.) An intensive study of selected topics, methods, techniques, and problems in applied statistics. Prerequisite: MATH 340 or IDS 340 or ECON 325.
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MATH 493/593 - Seminar in Applied Statistics
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