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MATH 520: Topics in Algebra
9.00 Credits
Southern Illinois University Edwardsville
Advanced topics in algebra. Groups: sylow theorems; simple groups. Fields: automorphisms; elementary galois theory. Rings: noncommutative rings; dedekind domains. Content may vary from year to year. May be repeated to a maximum of 9 hours provided no topic is repeated. Prerequisite: Written consent of adviser and instructor. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 520 - Topics in Algebra
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MATH 545: Real Analysis II
3.00 Credits
Southern Illinois University Edwardsville
Riemann, riemann-stieltjes, and lebesque integrals. Differentiation of functions of n variables. Multiple integrals. Measure and probability. Differential for forms, stokes' theorem. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 545 - Real Analysis II
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MATH 550: Topics in Analysis
3.00 Credits
Southern Illinois University Edwardsville
Advanced topics in analysis. Metric and topological spaces; completeness; compactness; correctedness; hilbert and banach spaces; measure theory and integration; probability theory. May be repeated to a maximum of 9 hours provided no topic is repeated. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 550 - Topics in Analysis
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MATH 551: Topics in Complex Analy
3.00 Credits
Southern Illinois University Edwardsville
Riemann mapping theorem; analytic continuation; theorems of weierstrass and mittag-leffler. Content may vary from year to year. May be repeated to a maximum of 6 hours provided no topic is repeated. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 551 - Topics in Complex Analy
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MATH 552: Theory/Ordinar/Differtl/Equats
3.00 Credits
Southern Illinois University Edwardsville
Existence and uniqueness theorem; dynamical systems; stability, bifurcation theory, boundary value problems. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 552 - Theory/Ordinar/Differtl/Equats
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MATH 555: Functinl Analysis/Applications
3.00 Credits
Southern Illinois University Edwardsville
Normed and banach spaces, inner product and hilbert spaces, open mapping and closed graph theorem, hahn-banach theorem, dual spaces and weak topology. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 555 - Functinl Analysis/Applications
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MATH 563: Optimal Control Theory[
3.00 Credits
Southern Illinois University Edwardsville
same as ece 563 and me 563] description of system and evaluation of its performance; dynamic programming; calculus of variations and pontryagin's minimum principle; iterative numerical techniques. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 563 - Optimal Control Theory[
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MATH 565: Advanced Numerical Analysis
3.00 Credits
Southern Illinois University Edwardsville
Rigorus treatment of topics in numerical analysis, including function approximation; numerical solution to ordinary and partial differential equations. Convergence and stability of finite difference methods. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 565 - Advanced Numerical Analysis
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MATH 567: Topics/Appl Math Ematicl Analy
3.00 Credits
Southern Illinois University Edwardsville
Topics from the following areas: fourier theory and applications; applied functional analysis; asymptotic analysis; perturbation theory; control theory; theory of equilibrium; partial differential equations. May be repeated to a maximum of 12 hours provided no topic is repeated. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Statistics Department
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MATH 567 - Topics/Appl Math Ematicl Analy
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MATH 590A: Seminar:Algebra
6.00 Credits
Southern Illinois University Edwardsville
Intensive study of selected mathematical topics. (a) algebra. Each segment may be repeated to a maximum of 6 hours so long as no topic is repeated. Prerequisites: written consent of advisor and instructor 1.000 TO 3.000 Credit Hours 1.000 TO 3.000 Other hours Levels: Graduate Schedule Types: Seminar College of Arts and Sciences College Mathematics & Statistics Department
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MATH 590A - Seminar:Algebra
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