MATH 389
Advanced Analysis Fall 2014
Division III Quantative/Formal Reasoning
This is not the current course catalog

Class Details

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.
The Class: Format: lecture
Limit: 30
Expected: 15
Class#: 1531
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: evaluation will be based primarily on homework, classwork, and exams
Prerequisites: permission of the instructor, or both a 300-level MATH course and either MATH 350 or 351
Enrollment Preferences: students interested in graduate school in mathematics or an allied discipline
Unit Notes: http://web.williams.edu/Mathematics/sjmiller/public_html/389/
Distributions: Division III Quantative/Formal Reasoning

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