MATH 389 Fall 2014 Advanced Analysis (Q)

This course further develops and explores topics and concepts from real analysis, with special emphasis on introducing students to subject matter and techniques that are useful for graduate study in mathematics or an allied field. Material will be drawn, based on student interest, from many areas, including analytic number theory, Fourier series and harmonic analysis, generating functions, differential equations and special functions, integral operators, equidistribution theory and probability, random matrix theory and probabilistic methods. This will be an intense, fast paced class which will give a flavor for graduate school. In addition to standard homework problems, students will also write reviews for MathSciNet, referee papers for journals, write programs in SAGE or Mathematica to investigate and conjecture, and read classic and current research papers.
Class Format: lecture
Requirements/Evaluation: evaluation will be based primarily on homework, classwork, and exams
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Prerequisites: permission of the instructor, or both a 300-level MATH course and either MATH 350 or 351
Enrollment Preference: students interested in graduate school in mathematics or an allied discipline
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Divisional Attributes: Division III,Quantitative and Formal Reasoning
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Enrollment Limit: 30
Expected Enrollment: 15
Class Number: 1531
MATH 389 - 01 (F) LEC Advanced Analysis (Q) Division 3: Science and MathematicsQuantitative and Formal Reasoning Steven J. Miller
MWF 09:00 AM-09:50 AM Bronfman B34 1531
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