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MATH 3911: Geometry
3.00 Credits
Seton Hall University
Possible topics include Euclidean geometry, non-Euclidean geometry, projective geometry, transformation geometry, complex geometry. Prerequisites: MATH 2511, MATH 2611. 3 credits
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MATH 3911 - Geometry
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MATH 3912: Junior Seminar
2.00 Credits
Seton Hall University
Seminars and discussions designed to integrate readings of mathematical literature with both oral and written presentations. Prerequisites: MATH 3515 or 3815. 2 credits
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MATH 3912 - Junior Seminar
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MATH 4091-4092: Topics in Applied Mathematics I and II
3.00 Credits
Seton Hall University
Topics chosen from among operations research, optimization, including an introduction to the calculus of variations, combinatorics, discrete mathematics, Fourier analysis, integral equations, partial differential equations. Students acquire some experience at constructing mathematical models. Prerequisites: MATH 2511, MATH 2813. 3 credits each
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MATH 4091-4092 - Topics in Applied Mathematics I and II
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MATH 4093-4098: Independent Study in Mathematics
2.00 - 3.00 Credits
Seton Hall University
Prerequisite: permission of department chair. 2-3 credits
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MATH 4093-4098 - Independent Study in Mathematics
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MATH 4511: Introduction to Real Analysis
3.00 Credits
Seton Hall University
Sets, equivalence, countability, infinite series, metric spaces; complete, compact, connected spaces, sequences and series of functions and uniform convergence. Prerequisite: MATH 3512. 3 credits
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MATH 4511 - Introduction to Real Analysis
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MATH 4512: Introduction to Complex Analysis
3.00 Credits
Seton Hall University
Analytic functions, elementary functions and mappings, integrals, Cauchy's integral theorem and formula, power series, residues and poles. Prerequisite: MATH 2511. 3 credits
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MATH 4512 - Introduction to Complex Analysis
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MATH 4515: Analysis II
3.00 Credits
Seton Hall University
Consequences of continuity, differentiability and intergrability in Rn; uniform convergence; introduction to metric spaces. Prerequisite: MATH 3515. 3 credits
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MATH 4515 - Analysis II
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MATH 4815: Algebra II
3.00 Credits
Seton Hall University
This course continues MATH 3815. Further properties of groups and fields, with a section on the applications of finite fields. Concentrates on Galois theory, the theory of the solution of algebraic equations. Prerequisite: MATH 3815. 3 credits
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MATH 4815 - Algebra II
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MATH 4911: Introduction to Topology
3.00 Credits
Seton Hall University
Topological spaces, subspaces, product spaces, identification spaces. General convergence. Connected and compact spaces. Separation and countability. Compactifications. Prerequisite: MATH 3515. 3 credits
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MATH 4911 - Introduction to Topology
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MATH 4912: Senior Project
3.00 Credits
Seton Hall University
Individual research project applying skills developed in Junior Seminar (MATH 3912) under the guidance of faculty adviser. Grade is ordinarily based on oral and written presentations. Prerequisites: MATH 3912 and permission of department chair. 3 credits
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MATH 4912 - Senior Project
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