Instructor: Nicolas Broutin, Room 1149-4 Time and Location:
Lectures: Mon and Wed from 8:15 to 9:30am in 202.
Recitations: Fri from 9:45 to 11:00am in 202.
Office hours: Mon-Wed 10:00--11:00am and Fri 11:00--12:00. Textbook: Rudin, Foundations of Mathematical Analysis, 3rd Edition, McGraw-Hill, 1974.
The course covers the essential tools and notions in multivariate analysis:
Differentiation (multivariable), Implicit function theorem; Riemann integral (multivariable); Vector fields and differential forms, Stokes’ theorem; Metric notions (including area, volume); Introduction to Lebesgue theory.
The following pages contain the results that we see during the course. The proofs omitted, but there are many comments, and a number of typical exercises that one should be able to solve to pass.