Math 643R: Special Topics in Analysis

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Catalog Information


Special Topics in Analysis.

Credit Hours



Math 641 or instructor's consent.


Advanced topics in analysis drawn from pure and applied mathematics.

Desired Learning Outcomes

Students should gain familiarity with a particular area of analysis selected by the instructor.


Minimal learning outcomes

Minimal learning outcomes cannot be specified for a course in which topics will vary from year to year. However, regardless of the topic, successful students will know terminology, statements and approaches to problems undergoing active research, and major results in the area and techniques used to prove them. Students will demonstrate this knowledge by working suitable problems and developing their own proofs, and by presenting and writing work inside and outside of class.

Examples of topics that may be offered include:

  1. Metric number theory, using G. Harman, Metric Number Theory, Oxford University Press, 1998.
  2. The theory of L-functions, using Non-vanishing of L-functions and Applications, M. R. Murty and V. K. Murty, Birkhäuser, 1997.
  3. Operations research. Topics such as linear programming, nonlinear convex optimization and integer programming. Topics in models of supply chains, including deterministic and stochastic inventory theory, production planning models, scheduling theory, and game-theoretic models of competition between different supply chains, and of incentives for cooperation within supply chains.


Possible textbooks for this course include (but are not limited to):

Additional topics

Courses for which this course is prerequisite