MATH 264 - Advanced Calculus for Engineers -- Winter 2013



All important information about the course will be posted here. The My Courses site will be used ONLY for student discussions.



APRIL 23: Exams have been graded. Grades will be posted on Minerva in the next few days.
Viewing hours for the exam:
Choksi: April 29, 30, May 1 ------ 10:30 AM - 12 PM
Sancho: May 13, 14 ------ 7:20 AM - 11 AM



OFFICE HOURS FOR CHOKSI: Wednesday and Friday 1:30 - 2:30 PM or by appointment.

OFFICE HOURS FOR SANCHO: Wednesday and Friday 12:30 - 1:30 pm or by appointment

Check out how PDE's are being used to fight crime in LA!
  • PDEs in CRIME



  • Course Outline with OLD (i.e wrong) midterm dates



    • ADDED April 12: Partial Solutions to Written Assignment 2. I left out a few of the basic questions. For example, the 2D Stokes Theorem immediately reduces to Green's Theorem. Also question 3 and 4 are very straightforward. In fact, in question 4, the Fourier series is simply the function itself (most of the coefficients are 0). I will also cover many of these during the review session.
  • Partial Solutions to Written Assignment 2



    • ADDED April 7: There is a typo in Question 7 of Written Assignment 2: the boundary conditions should read u_x (0, t) = 0 = u(pi, t) INSTEAD of u'(0) = 0 = u(pi). There is also a typo in Question 8: the boundary conidtion should be u(x,1) = 0 NOT u(x, 2) = 0.




    PREPARATION FOR FINAL EXAM: A REVIEW SESSION FOR BOTH SECTIONS WILL BE GIVEN ON APRIL 16 IN LEA 132 FROM 15:35 to 17:25. NOTE: THIS IS \ A REVIEW SECTION WHERE I WILL GO OVER SOME PROBLEMS -- NO NEW MATERIAL WILL BE COVERED.
    IMPORTANT INFORMATION ABOUT THE FINAL EXAM: The exam will cover the entire course. About 30% is devoted to the BVPs, Fourier Series and Partial Differential Equations. For the latter, you are responsible for the material we covered on separation of variables for the heat and wave equation. We will also cover separation of variables for the Laplace's Equation but it will NOT be on the exam.

    The questions on the exam are similar to the midterms and indeed to many problems in the assignments. There will NOT be any true / false or multiple choice questions. There will not be complicated calculations of iterated integrals (material tested in previous courses). The integrals which you do have to evaluate will be straight forward.

    You will be allowed ONE double-sided letter size (8.5 by 11 inches) sheet of paper. You can put any information you like on both sides. Think carefully about what you want to include. Otherwise, NO other aides are allowed (e.g, NO calculators).

    Here are three previous exams with solutions.
    WARNING: the questions on both midterms and the assignments are a BETTER reflection of what you can expect on the exam.
  • FINAL1
  • FINAL2
  • FINAL3



    • IMPORTANT-- NEW MIDTERM DATES
    THE TUE-THUR SECTION WILL WRITE IN CLASS ON MARCH 14.
    THE WED-FRI SECTION WILL WRITE IN CLASS ON MARCH 15.


    THE MIDTERM WILL BE CLOSED BOOK -- NO CRIB SHEET ALLOWED.
    YOU MUST WRITE THE MIDTERM IN THE SECTION YOU ARE REGISTERED IN. OTHERWISE, YOUR GRADE WILL NOT BE RECORDED.


    THE MIDTERMS WILL BE DIFFERENT BUT OF THE SAME DIFFICULTY. THEY WILL COVER ALL MATERIAL UP TO AND INCLUDING STOKES'S THEOREM.
    THERE WILL NOT BE LONG CALCULATIONS AND IN MOST CASES, YOU CAN LEAVE YOUR FINAL ANSWER IN A SUITABLE INTEGRAL FORM --- READ THE QUESTIONS VERY CAREFULLY (ESPECIALLY PHRASES AND WORDS HIGHLIGHTED IN BOLD).

    HERE ARE THE TWO MIDTERMS: WE WILL COVER THEM OM MARCH 19, 20 (RESPECTIVELY)
  • MIDTERM MARCH 14

  • MIDTERM MARCH 15

    • CHOKSI SECTION MIDTERM: Average was a little over 39 / 60. Note that question 1(iii) was incorrectly graded. Hence the addition of +1 or -1 on the cover page.

    PREPARATION FOR FINAL EXAM: A REVIEW SESSION FOR BOTH SECTIONS WILL BE GIVEN ON APRIL 16 IN LEA 132 FROM 15:35 to 17:25. NOTE: THIS IS A REVIEW SECTION WHERE I WILL GO OVER SOME PROBLEMS -- NO NEW MATERIAL WILL BE COVERED.




    Web works are due most Sundays at 11:59 PM. There will be no webworks due March 10 (spring break) and 17 (midterm week).
    You can directly access webwork via the link below
  • Web Work

    • There seems to be a problem in Question 3 of Webwork 3. Some people only see 2 vectors and even for those who see three vectors, there may be an issue with the direction of the inequalities. Some people are having issues with the wrong sign in the answer for Question 6. This problem has been fixed as of Saturday Feb. 2 at 4 PM. Sorry for the confusion -- Webwork is not perfect!



    FIRST WRITTEN PROBEM SET DUE IN CLASS ON FEB. 14 (SANCHO), FEB. 15 (CHOKSI). ADAMS 8TH EDITION:
    15.4: 7, 8, 11, 13, 21, 22.
    15.5: 10, 16.
    15.6 6, 8, 10.
    Here are these problems (circled).
  • The Problems

  • Solutions to Written Assignment 1 by usman.ehtesham@mail.mcgill.ca


    • SECOND WRITTEN PROBEM SET DUE IN CLASS ON APRIL 12 (CHOKSI), APRIL 11 (SANCHO). SANCHO's students can also hand it in on April 12. Prof. Sancho will instruct you where to hand it in.
  • Problem Set 2



    • WEEKLY TUTORIALS:
    Wednesday 03:35 PM-04:25 PM in BURN 1B39: Myles Hildebrand myles.hildebrand@mail.mcgill.ca

    Wednesday 04:35 PM-05:25 PM in BURN 1B39: Marwan Elkholy marwan.elkholy@mail.mcgill.ca

    Tuesday 02:35 PM-03:25 PM in BURN 1B39: Ryan McEachern ryan.mceachern@mail.mcgill.ca

    Wednesday 01:35 PM-02:25 PM in BURN 1B39: Selina Liu peng.liu2@mail.mcgill.ca

    Monday 10:35 - 11: 25 AM in BURN 1B39: Karim Bechir karim.bechir@mail.mcgill.ca