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Calculus 3: Educational Goals

  • Goal 1:
    To become fluent in the language of vector (fields), coordinatizations (affine and curvilinear coordinatizations included) and inifinitesimal line/area/volume elements. 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 exam and homework, as well as the performance on the final exam.
  • Goal 3:
    To master the connections between the differential and the integral calculus as in the Fundamental Theorems of Calculus. The extent to which this goal is achieved will be determined by student performance on the corresponding exam and homework, as well as the performance on the final exam.
  • Goal 4:
    To develop and understanding of the geometry of the second derivative, and be able to apply it to problems such as optimization. The corresponding assessment will primarily be based on student performance on the final exam and homework.
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