Math 233 (Multivariable Calculus) Fall 2012, UNC-Chapel Hill

    Class Timings : MWF 9:00-9:50 AM, Phillips 385
    Textbook : Calculus Early Transcendentals 6E by James Stewart, Chapters 12-16
    Instructor : Nishant Malik
    Office Hours: Monday, Wednesdays, Friday 9:50-10:50, 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 :

    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 1-3, Section 4 covering velocity and acceleration.
    3. Chapter 14 Sections 1-7 and 8*.
    4. Chapter 15 Sections 1-4. Sections 5-9*.
    5. Chapter 16 Sections 1-5. Sections 6-9*.
    * 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, 8-11 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 . 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 text-bundled-with-WA-access or another version of the text and WebAssign access from the UNC Student Stores. WebAssign offers e-book 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 .


    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


    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 :
    Class in exam 2 :
    Class in exam 3 :