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Complex Variables: Educational Goals for Spring 2014

  • Goal 1:
    To develop basic literacy involving (functions of) complex variables. This includes:

      – Reaching a degree of fluency with complex number arithmetic and geometry;
      – Developing a solid understanding of elementary functions of complex variable.

    The extent to which this goal is achieved will be determined by student performance on the corresponding in-class exam and homework.

  • Goal 2:
    To become aware of basic ideas of complex analysis. The extent to which this goal is achieved will be determined by student performance on the corresponding homework.
  • Goal 3:
    To develop a computational ability within the context of calculus of residues. The extent to which this goal is achieved will be determined by student performance on the corresponding in-class exam and homework.
  • Goal 4:
    To gain independence in reading and understanding mathematical material which uses complex variables. The corresponding assessment will be based solely on the take-home final exam.
  • Goal 5:
    To situate the practice of complex analysis within its larger mathematical and social context, primarily by understanding the kind of role complex analysis plays in certain currently open problem(s). The corresponding assessment will be based solely on the matching homework assignment.
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