Information about Final Exam for Math 2443-006H

Mathematics 2443-006H - Honors Calculus IV - Spring 2008

Information about Final Exam

The Final Exam will be in the usual classroom on Wednesday, May 7 at 1:30 p. m. You may work until 3:45 p. 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.

Grades will be posted on our website as soon as they are ready, probably some time on Thursday. 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 78 points. Here is an approximate breakdown of the sections of the book that will be directly covered:

15.4	6
15.5	3
15.6	6
16.3	3
16.7	3
17.3	6
17.4	12
17.5	6
17.6	6
17.7	9
17.8	6
17.9	12
Total	78

The following topics will definitely be covered:

1.	Differentials of functions of more than one variable, linear approximation.
2.	The Chain Rule.
3.	The gradient.
4.	Changing the order of integration for double integrals.
5.	Changing the order of integration for triple integrals.
6.	Conservative vector fields and path independence.
7.	Green's Theorem.
8.	Parameterization of surfaces, the vectors r_u, r_v, and r_u \times r_v.
9.	Surface integration of functions and vector fields.
10.	Stokes' Theorem and the Divergence Theorem: their statements and applications.

It will be important to know Green's Theorem, Stokes' Theorem and the Divergence Theorem and be able to apply them. One must be able to calculate the gradient, divergence, and curl.

The following topics will not appear, at least, not explicitly: limits, continuity, equation of the tangent plane, finding extreme values using critical points, Lagrange multipliers, Riemann sums, calculation of moments and center of mass, the Jacobian, simple-connectedness.

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).