The catalog description of this course is as follows: differential and integral calculus of functions defined on Rn including the inverse and implicit function theorems, the change of variable formulas for integration and uniform convergence. Prerequisite is Math 409.
The required textbook is An Introduction to Analysis by William Wade, published by Prentice Hall, 1995. We will cover chapter 4 (series and uniform convergence), chapter 5 (topology of Rn), chapter 6 (differentiation on Rn) and chapter 7 (integration on Rn).
The course meets Tuesday and Thursday, 9:35-10:50am in BLOC 156. Office Hours are Monday thru Thursday 1:30-2:30pm. in BLOC 623. If those times are inconvenient, you can set up an appointment by e-mailing me (boggess@math.tamu.edu) or by calling 845-3261.
Course grades will be determined by homework (20%); two semester exams (25% each); and a final exam (30%). The two semester exams and the final exam will each have two parts: an in-class part which will test definitions and whether or not you have mastered some of the standard proofs presented in lecture and a take-home part, which will test your ability to do problems and proofs with a difficulty level roughly comparable to the homework problems. You may collaborate with other students on the homework. No collaboration is allowed on the exams (both take-home and in-class parts are to be done on your own). For the take-home parts of the exams, you will be allowed to use reference materials (such as your text and notes). No books or notes will be allowed during the in-class parts of the exams.