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Graduate
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AnalysisOne can think of analysis as that broad area of mathematics which derives ultimately from the basic ideas of calculus, i.e., derivative, integral, series, etc. Analysis is a core area of mathematics and the subject of a vast amount of current research. Some areas of analysis represented by researchers at ASU are: classical analysis and approximation theory, harmonic analysis, image processing, integral transformations and their applications in theoretical and mathematical physics, operator algebras, orthogonal polynomials and q-special functions, partial differential equations, and wavelets. PrerequisitesBesides the general departmental prerequisites, courses in Real Analysis and Complex Analysis at the undergraduate level are highly desirable. Course Work The basic graduate level courses in analysis are Real Analysis (MAT 570-571), Complex Analysis (MAT 572-573), and Functional Analysis (MAT 578-579). Beginning students frequently take Intermediate Real Analysis (MAT 472-473) before starting the graduate level courses. Topics courses in analysis are given regularly, and there are ongoing seminars on Analysis and on C*-Algebras where faculty and students discuss current research work. Examinations All analysis students must take the qualifying exam in Real Analysis (MAT 472-473). MA students who do not write a thesis take a second qualifying exam. Ph.D. students in analysis usually also take the qualifying exam in Algebra (MAT 442, 444), and additionally must take a comprehensive exam based on advanced coursework. Faculty
For more information on specific aspects and content of this program, contact one of the Analysis faculty:
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