1. Principles of Mathematical Analysis, 3rd Edition, by Walter Rudin (Required)
2. An Introduction to Analysis, 4th Edition, by William R. Wade (Optional)
3. A Geometric Introduction to Differential Forms, 2nd Edition, by David Bachman (Optional)
Meeting times/location: Monday, Wednesday, and Friday 9-9:50am in SMLC 352.
Course Description: Continuation of 510. Exponential, logarithmic, and trigonometric functions (Ch. 8 Rudin). Fourier Series (Ch. 8 Rudin). Differentiation in R^n (Ch. 9 Rudin). Inverse/implicit function and rank theorems (Course notes and Ch. 9 Rudin). Integration in R^n (Ch. 12 Wade). Differential forms and Stokes' Theorem (Course notes and Bachman).Prerequisites: Math 510.