Math-UA.326.001: Analysis II
Final cheatsheet
The nal will be a closed-book exam, so there are some facts from the course that
youll be expected to remember. The relevant sections in Wades book are 8.1
8.4, 9.1 9.5, 11.1 11.6 (but no tangent planes or Ta
Math-UA.326.001: Analysis II
Midterm cheatsheet
The midterm will be a closed-book exam, so there are some facts from the course
that youll be expected to remember. The relevant sections in Wades book are
8.1 8.4, 9.1 9.5, 11.1 and 11.2. It will not be ass
Math-UA.326.001: Analysis II
Homework 11
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Dec 13th.
Questions or parts of questions which are marked with an asterisk
Math-UA.326.001: Analysis II
Homework 10
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Dec 6th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 9
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Nov 29th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 8
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Nov 15th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 7
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Nov 1st.
Questions or parts of questions which are marked with an asterisk ar
Math-UA.326.001: Analysis II
Homework 6
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Oct 25th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 5
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Oct 18th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 4
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Oct 4th.
Questions or parts of questions which are marked with an asterisk ar
Math-UA.326.001: Analysis II
Homework 3
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Sep 27th.
Questions or parts of questions which are marked with an asterisk a
Math-UA.326.001: Analysis II
Homework 1
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to me by the end of class on Thursday, Sep 20th.
In general you may assume basic facts about real arithmetic, such a
Math-UA.326.001: Analysis II
Homework 1
Tim Austin
803 Warren Weaver Hall
tim@cims.nyu.edu
http:/cims.nyu.edu/tim
Solutions to be returned to Naftali Cohen by the start of his recitation section on Friday,
Sep 14th.
Questions or parts of questions which a
Question 1
Suppose that F : R2 R is a function of class C 1 with the property that
F
> 0 everywhere.
x
(a) Fix y0 R, and consider the function
f (t) = F (t, y0 ).
Using the fact that F is C 1 , prove carefully (i.e., in terms of s and s) that f is
also of
Kenny Zhou
Writing the Essay
Dear God,
In this world of experiences, Ive started to realize something interesting.
When people attribute the qualities of good or bad to an individual experience or
idea, they in that moment close off a whole spectrum of in