Math 233 (Multivariable Calculus) Fall 2012, UNCChapel Hill

Class Timings : MWF 9:009:50 AM, Phillips 385
Textbook : Calculus Early Transcendentals 6E by James Stewart, Chapters 1216
Instructor : Nishant Malik
Office Hours: Monday, Wednesdays, Friday 9:5010:50, Chapman 430
For students with valid reasons to not be able to use above office hours, appointments could be made by writing an email to the instructor.
Email : nmalik@email.unc.edu
Syllabus :
The syllabus below is suggestive, our goal would be to cover chapter 12 to 16 of the above textbook. So to be finally be in a position to learn three well known theorems of the multivariable calculus i.e., Green's Theorem, Stokes' Theorem, and the Divergence Theorem.
1. Chapter 12 Sections 1 5 and omitting section 6.
2. Chapter 13 Sections 13, Section 4 covering velocity and acceleration.
3. Chapter 14 Sections 17 and 8*.
4. Chapter 15 Sections 14. Sections 59*.
5. Chapter 16 Sections 15. Sections 69*.
* indicates sections which might be treated lightly.
Grades :
1. Three class in Exam (50 min long) of 15 % each i.e., 45 % of the total grades.
2. Homework will account for 15% of the total grades.
3. Final exam (3 hour long) would account for the remaining 40 %.
Exam Schedule :
1. First class in Exam : 26 September 2012.
2. Second class in Exam : 22 October 2012.
3. Third Class in Exam : 14 November 2012.
4. Final Exam : 8 December 2012, 811 AM
Homework :
Homework will be given after each class (five to ten problems). All homework will be due one week after it is assigned unless otherwise specified. All homework is graded in WebAssign http://www.webassign.net . Some new books come bundled with a code for WebAssign access; students have paid for that code by buying the "bundled" text. Those without such books will have to buy WebAssign access separately. Those on financial aid must buy either the textbundledwithWAaccess or another version of the text and WebAssign access from the UNC Student Stores. WebAssign offers ebook access for the semester together with the necessary WebAssign access for completing the assignments online. The WebAssign class key for this section is unc 9952 4007 .
DOWNLOAD ABOVE MATERIAL AS PDF .
Resources :
Videos :
Multivariable Calculus by Denis Auroux  MIT
Multivariable Calculus by Edward Frenkel  UC Berkeley
Notes :
MIT open courseware Fall 2010
Paul's Online Math Notes
Multivariable calculus on Math Insight
Books :
Textbook Website
Google books
Visualization of Curves and Surfaces :
WolframAlpha :Use this for programming free visualization.
Wolfram Demonstrations Project : First download and install the freely available wolfram cdf player and then download a demonstration file and open it in already installed wolfram cdf player.
Graphing Calculator Viewer : Use this graphing viewer with TEC (Tools for Enriching Calculus) , also visit the above listed website of the textbook to find links for codes to generate simulations and curves from the textbook using Graphing Calculator Viewer.
Learn MATLAB : Visit this website to start learning MATLAB.
Computer codes :
This is completely optional work for the students as learning to write computer codes is not part of the course. No homework or test would be given on this work. But it is considered useful, as it would not only help in improving the understanding of some of the concepts but as well teach a very useful skill.
Chapter 13 :
All the codes for this chapter are written in MATLAB. Please click this LINK to see codes and their outputs. You can also download all the codes in from of a zip folder by clicking CODES FOLDER
Chapter 14 :
All the codes for this chapter are also written in MATLAB. Please click this LINK to see codes and their outputs. And download all the codes in from of a zip folder by clicking CODES FOLDER
EXTRA CREDIT ASSIGNMENT ON WRITING COMPUTER CODES :
Last date for submission of this assignment is December 7 2012 (till 10:00 AM). Before attempting the assignment go through the notes and instructions carefully.
Exams and Solutions :
Class in exam 1 :
QUESTION PAPER SOLUTIONS
Class in exam 2 :
QUESTION PAPER SOLUTIONS
Class in exam 3 :
QUESTION PAPER SOLUTIONS