**Course: MATH-UA 326, Analysis 2**

**Prerequisite:** MATH-UA 325, Analysis 1, or permission of instructor.

**Course Content:** Functions of several variables. Limits and continuity. Partial Derivatives. The implicit function theorem.
Transformation of multiple integrals. The Riemann integral and its
extensions.

*Last update:* 16 May 2013

**Instructor:** Antti Knowles, knowles(at-sign)cims.nyu.edu

**Lecture Meeting Time/Location:** Tuesday and Thursday,
330PM-445PM, WWH 202

**TA:** Steven Heilman,
heilman(at-sign)cims.nyu.edu

**TA Office Hours:** 200PM-330PM Fridays. Also 100PM-300PM Mondays.
WWH
1108.

**Recitation Meeting Time/Location:** Friday, 330PM-445PM, WWH 202,
**(changed from previous location)**

**Recommeneded Textbook (not required):** __Advanced Calculus
of Several
Variables__, C. H. Edwards

**Other Textbooks:** __Calculus on Manifolds__, M. Spivak;
__Principles of Mathematical Analysis__, W. Rudin

**Main Course Website:** here.
NYU access required

**Final Exam:** Thursday, May 16, 400PM-550PM, WWH 202

**Other Resources:**
T. Tao, Honors Analysis 2, Week 7,
Honors Analysis, Weeks 9 and 10,
Problem Solving Strategies in Analysis

T.
Austin, Analysis II,
Notes on the Inverse Function Theorem

How to Write Mathematical Arguments

**Advice on succeeding in a math class:**

- Review the relevant course material
**before**you come to lecture. Consider reviewing course material a week or two before the semester starts. - When reading mathematics, use a pencil and paper to sketch the calculations that are performed by the author.
- Come to recitation with questions, so you can get more out of the
recitation. Also, finish your homework at
least
**two days**before it is due, to alleviate deadline stress. - Write a rough draft and a separate final draft for your homework. This procedure will help you catch mistakes. Also, consider typesetting your homework.
- If you are having difficulty with the material or a particular homework problem, review Polya's Problem Solving Strategies, and come to office hours.

- HW1 HW2 HW3 HW4 HW5 HW6 practice final
- solutions
- solutions.tex, a .tex file that could be used as a template for your homework.