MAT 372 - Spring 02 - Spielberg
 Spielberg's homepage


STUDY GUIDE FOR FINAL EXAM

The final exam will be given Monday, May 6, 7:40 -- 9:20 AM.

The following list of topics can guide your study for the exam.  You should 
review the exams and homework problems, and come to ask questions at my 
office.

(*) topology of R^n:  open and closed sets, limit points, closure,
                      interior, and boundary of a set, compactness.

(*) limits, continuity, and uniform continuity of functions

(*) directional and partial derivatives

(*) differential and derivative:  definition, existence, relation
                                  with directional derivatives.
                       
(*) chain rule, convexity and mean value theorems, equality of mixed partials

(*) Taylor's theorem

(*) inverse function theorem, implicit function theorem

(*) content of a set, integrable and admissible functions

(*) integrability and step functions, mesh theorem

(*) Fubini's theorem and iterated integrals

(*) change of variable theorem