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Mathematics 2443-003 - Calculus IV - Fall 2007

Information about Final Exam

The Final Exam will be in the usual classroom on Wednesday, December 12 at 8:00 a. m. You may work until 10:15 a. m if you need the extra time.

When the final exams are handed out, you will also receive a copy of some formulas, exactly as they appear on the formulas page. Please turn it in along with your exam (if you want your own copy, you can download it from our course website at any time).

Grades will be posted on our website as soon as they are ready, but since I will be traveling it will probably not be until some time the following Monday or Tuesday. You may pick up your final exam any time during the next year; after one year they will be discarded.

The Final Exam will be worth 77 points. Here is an approximate breakdown of the sections of the book that will be directly covered:

15.3 7
15.5 4
15.6 10
16.3 4
16.4 4
17.1 6
17.6 4
17.7 16
17.8 12
17.9 10
Total 77


The following topics will definitely be covered:
  1. The Chain Rule.
  2. The gradient.
  3. Double integrals on non-rectangular regions.
  4. Vector fields.
  5. Parameterization of surfaces, the vectors r_u, r_v, and r_u \times r_v.
  6. Surface integration of functions and vector fields.
  7. Stokes' Theorem and the Divergence Theorem: their statements, applying them to examples.

It will be important to know Green's Theorem, Stokes' Theorem and the Divergence Theorem and be able to apply them. Although the table does not list section 17.5, it is necessary to know how to calculate the gradient, divergence, and curl. It is advisable to understand all of the problems that appeared on our in-class exams, as some of them will reappear on the final.

The following topics will not appear, at least, not explicitly: limits, continuity, equation of the tangent plane, differentials, linear approximation, finding extreme values using critical points or Lagrange multipliers, Riemann sums, calculation of moments and center of mass, the Jacobian, line integrals, the Laplacian.

Final exams that I wrote for this course in previous semesters can be found on their course pages (links are on the course pages page).