Courant Institute New York University FAS CAS GSAS

V63.0326 Analysis II

Term: Spring 2011
Lectures: MW 3:30pm-4:45pm in WWH 102
Recitation: T 8pm-9:15pm - Classroom TBD
Instructor: Prof. J. Cheeger
Office: WWH 1102
Office hours: TBA
Phone: 212-998-3282
Email: cheeger@cims.nyu.edu

Prerequisites

Description of the course

Functions of several variables. Limits and continuity. Partial derivatives. The implicit function theorem. Transformation of multiple integrals. The Riemann integral and its extensions.

Course Details

Textbook and Materials

Rudin,  Principles of Mathematical Analysis

Homework

Assigned weekly

Exams

Final exam on May 12, 4:00-5:50pm

Grading policy

To be determined

Tentative Calendar

Week Topic
1, 2, 3
real and complex numbers, basic topology,
4, 5, 6
numerical sequences
7, 8
continuity, differentiation
9, 10
Riemann-Stieltjes integrals
11
sequences and series of functions
12, 13
special functions, functions of several variables, integration of differential forms, Lebesgue theory