AMATH3202

Time table

  • Lecture: M, T, R 13:00 - 13:50 in SN3042.
  • Office hour: T 16:00-18:00 in HH3035 or by appointment.
    • Dr. Jahrul Alam
    HH-3054, (709) 864 8071
    email: alamj_at_mun_dot_ca
    http://www.math.mun.ca/~alamj/

    Outline of the course
    Vector functions
    		 Section(s)
    • Curves defined by parametric equations
    • Vector functions and space curves
    • Derivatives and integrals of vector functions
    • Arc length and curvature
    • Motion in space: velocity and acceleration
      10.1
      13.1
      13.2
      13.3
      13.4
    Partial derivatives
    • Functions of several variables
    • Partial derivatives
    • Linear approximations
    • Directional derivatives and the gradient vector
    • Lagrange Multipliers
      12.6,14.1
      14.3
      14.4
      14.6
      14.8
    Multiple integrals
    • Double integral over general region
    • Double integral in polar coordinates
    • Applications of double integrals
    • Triple integrals
    • Change of variables in multiple integrals
      15.3
      15.4
      15.5
      15.6-15.8
      15.9
    Vector calculus
    • Vector fields
    • Line integrals
    • The fundamental theorem of line integrals
    • Green's Theorem
    • Curl and divergence
    • Parametric surfaces and their areas
    • Surface integrals
    • Stoke's theorem
    • Divergence theorem
      16.1
      16.2
      16.3
      16.4
      16.5
      16.6
      16.7
      16.8
      16.9

    Text book

    The main text book is: Calculus: Early Transcendentals (6E) by Stewart, J., Thomson Brooks/Coles

    There are two supplementary text books:

  • Vector Calculus by Marsden, J
  • Vector Calculus by Lovric, M

    • Calendar description

    Functions of several variables, Lagrange multipliers, vector valued functions, directional derivatives, gradient, divergence, curl, transformations, Jacobians, inverse and implicit function theorems, multiple integration including change of variables using polar, cylindrical and spherical co-ordinates, Green's theorem, Stoke's theorem, divergence theorem, line integrals, arc length.

    Prerequisite:

    Mathematics 2000 and 2050

    Home work assignments

    There are 6 assignments for this course. All assignments are to be submitted in the drop box #31 in HH located near the Math general office.

    Assignment 1 Due Jan 23 by 15:00 Solution 1
    Assignment 2 Due Feb 9 by 15:00 Solution 2
    Assignment 3 Due Feb 20 by 24:00 Solution 3
    Assignment 4 Due Mar 9 by 24:00 Solution 4
    Assignment 5 Due Mar 23 by 24:00 Solution 5
    Assignment 6 Due Apr 7 by 24:00 Solution 6

    Test

  • The duration of the midterm test is 50 min. The test date Thursday, Feb 19, 2009.
  • Test cancellation policy: In case it is not possible to take the test due to circumstances, such as storm, fire, University closure etc., the test will automatically be scheduled for the next usual meeting time. If this happens that all three possible attempts fail within one week, there will be no test and the weight will be added to the final exam. If a student misses the test for health reasons, s/he has to write the test during the test week. If illness occurs for the entire test week, the weight will be shifted to the final exam. Any health reason must be supported by a doctor's note. Missed test must be finalized within the test week, otherwise the weight will be multiplied by "0" (zero).

    • Final exam

  • The duration of the final examination is 2.5 hours.
  • The date and location of the final exam will be announced by the registrar's office.

    • Marking scheme

    The best of

  • Assignment (30%)
  • Test (20%)
  • Final (50%)
    		•
  • Assignment (30%)
  • Test (10%)
  • Final (60%)
    		•

    How do you get additional help?

  • Please drop by my office (HH-3035) during office hours.
  • If you need to speak to me outside of office hours, I recommend you schedule an appointment.
  • I can be reached by email. Please feel free to ask me questions through email, but I may reply your email(s) only on working days.