ANNOUNCEMENTS
The last homework #8 is due on
Monday, June 1 at 10:00 am.
If you received an extension for any homework, please
turn it in
by Friday, June 5, 10:00 am at the latest. We will not
accept any
homeworks beyond this date.
The final will be handed out in class on Friday, June 5
and will be
available in the math office afterwards. It will be due
on
Wednesday, June 10 at noon.
There will be final review sessions in the recitation
sections on
Thursday, June 4 and in class on Friday, June 5.
Moreover, Brian
Hwang will hold a final review session on Monday, June 8
at
10:00 am in Sloan 151.
COURSE DESCRIPTION
The lectures will take place on Mondays, Wednesdays and Fridays in 151 Sloan at 10:00 AM. The course will not follow any text, but will present a large chunk of the material covered in Chapters 812 in the second volume of T. Apostol's Calculus. Supplementary notes on Vector Calculus (by D. Ramakrishnan) will be also posted weekly on the course web site. We will cover the following topics in the course:
 Subsets of Euclidean Space, Vector Fields and Continuity
 Differentiation in Higher Dimensions
 Tangent Spaces, Normals and Extrema
 Multiple Integrals
 Line Integrals
 Green's Theorem
 Div, grad and curl
 Change of Variables, Parametrizations, Surface Integrals
 The Theorems of Stokes and Gauss
TA's
Section 7
 Brian Hwang Office Hours: Sundays, 9 PM 158 Sloan, 6263954373 
Thursdays, 9:00 AM 153 Sloan 
Section 8  Gaurav Sinha Office Hours: Saturdays, 2 PM 385 Sloan, 6263951732 
Thursdays, 10:00 AM 257 Sloan 
Section 9  Andrei Frimu Office Hours: Sundays, 5 PM 155 Sloan, 6263954081 
Thursday, 11:00 AM 159 Sloan 
Section 10  Pooya Vahidi
Ferdowsi Office Hours: Saturdays, 11 AM 155 Sloan, 6263954081 
Thursday, 1:00 PM 159 Sloan 
Section 11  Gaurav Sinha Office Hours: Saturdays, 2 PM 385 Sloan, 6263951732 
Thursday, 2:00PM 159 Sloan 
Section 12  Nathan Lawless Office Hours: Sundays, 4 PM 155 Sloan, 6263954081 
Thursday, 10:00 AM 11 DWNS 
POLICIES
Grading
There will be weekly homework assignments, a Midterm and a Final examination. The final grade will depend on a composite of these factors; to be precise, the homework will be worth 40 percent, while the final and midterm will each be worth 30 percent. No one will be excused from the final.
Recitations
Please go to the recitations. Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the instructor will not have time to present in class. In general, get to know your TA and bug him/her with your questions, and try to fill in all the holes in your understanding.
Homework
Homework is due Mondays at 10am and will be posted on the course web site at least a week before it is due. All problems may be done in collaboration with others. However, each student must write down the solution in his/her own individual way and there should be no two identical solutions to any problem. Do not consult the solution sets from previous years in working this year's problems. Collaboration is not allowed in the exams. The following table gives more details on what is and what is not allowed.
Homework  Exams  

You may consult:  
Course textbook (including answers in the back)  YES  YES 
Other books  YES  NO 
Solution manuals  NO  NO 
Internet  YES  NO 
Your notes (taken in class)  YES  YES 
Class notes of others  YES  NO 
Your hand copies of class notes of others  YES  YES 
Photocopies of class notes of others  YES  NO 
Electronic copies of class notes of others  YES  NO 
Course handouts  YES  YES 
Your returned homework / exams  YES  YES 
Solutions to homework / exams (posted on webpage)  YES  YES 
Homework / exams of previous years  NO  NO 
Solutions to homework / exams of previous years  NO  NO 
Emails from TAs  YES  NO 
You may:  
Discuss problems with others  YES  NO 
Look at communal materials while writing up solutions  YES  NO 
Look at individual written work of others  NO  NO 
Post about problems online  NO  NO 
For computational aids, you may use:  
Calculators  YES*  NO 
Computers  YES*  NO 
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.
At most one late homework set will be accepted, and only at your TA's discretion, if arrangements have been made in advance with your TA, and if the work is less than a week late. Beyond this, late homeworks will NOT be accepted, except with a letter form the health center or from the Dean's office. Every week, graded homeworks can be picked up from the TA during the recitation on Thursday.
TEXTBOOKS
Apostol, Tom M. Calculus, Vol. II, MultiVariable Calculus and Linear Algebra with Applications, 2nd Ed., John Wiley, 1967, ISBN: 0471000078.
LECTURE NOTES
Date  Description 

4/3/2015  Week 1 
4/9/2015  Week 2 
4/16/2015  Week 3 
4/23/2015 
Week 4, 5 
5/7/2015 
Week 6 
5/14/2015 
Week 7 
Week 7a 

5/21/2015 
Week 8 
5/28/2015 
Week 9 
HOMEWORK
Due Date  Homework  Solutions 

Monday, April 6 at 10:00 am 
Homework #1  
Monday, April 13 at 10:00 am 
Homework #2  
Monday, April 20 at 10:00 am 
Homework #3  
Monday, April 27 at 10:00 am 
Homework #4  
Monday, May 11 at 10:00 am 
Homework #5  
Monday, May 18 at 10:00 am 
Homework #6  
Tuesday, May 26 at
10:00am 
Homework #7  
Monday, June 1 at 10:00 am (last homework) 
Homework #8  