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Calculus 3: Educational Goals for Spring 2014

  • Goal 1:
    To become fluent in the language of vector (fields) and coordinatizations (affine and curvilinear coordinatizations included), particularly in two and three dimensions. The corresponding assessment will primarily be based on student performance on the matching in-class exam and homework.
  • Goal 2:
    To develop an ability to articulate and evaluate cumulative effect in higher dimensional context, by means of integral calculus. The extent to which this goal is achieved will be determined by student performance on the corresponding in-class exam and homework, as well as the performance on the final exam.
  • Goal 3:
    To develop an ability to work within the context of higher dimensional differential and/or variational calculus; this includes applications to optimization. The extent to which this goal is achieved will be determined by student performance on the corresponding in-class exam and homework, as well as the performance on the final exam.
  • Goal 4:
    To master the connections between the differential and the integral calculus as in the four Fundamental Theorems of Calculus. The corresponding assessment will primarily be based on student performance on the final exam and homework.
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