Math 251:10--12 Spring 1999


Announcements

  1. The recitation instructor will hold review sessions on May 2 from 3--5PM in Hill 116 and on May 9 from 3--5PM in SEC-202. These sessions will be devoted to your questions.
  2. Lecturer's last minute office hours in Hill 438: 2--5PM on May 10 and 11. If you need to see me and these times are not convenient, please ask for an appointment.

Course handouts

Adobe Acrobat format. You should be able to view and print from your browser.

  • First part of syllabus. January 20 to February 08
  • Second part of syllabus. February 10 to March 01.
  • Third part of syllabus. March 03 to March 29.
  • Fourth part of syllabus. March 31 to April 19.
  • Maple instructions.
  • Lab 0.with a color view of one of the graphs.
  • Lab 1.
  • Lab 2.
  • Lab 3.
  • Lab 4.

    Copies of slides shown in lecture.

  • all of chapter 11.
  • all of chapter 12. with exercise from 11.9. See also individual graphics from lecture 8: A paraboloid with planes through a point parallel to the coordinate planes view 1 and view 2; at that point the tangent plane and a non-tangent plane; Maple's version of level curves of (x^2-y^2)/(x^2+y^2).
  • third part (complete) with a graph from 14.4.
  • fourth part (complete) with a worked example of Stokes' theorem using Maple.
  • Some surfaces shown in lecture of April 26: tangents to a twisted cubic and tangents to a circular helix.

    Workshops

  • #1 Vectors.
  • #2 Lines and Planes, with solution of problem 2 by J. Dare.
  • #3 Vector functions.
  • #4 Functions of several variables.
  • #5 Tangent Plane, Chain Rule, Gradients.
  • #6 Maxima and Minima.
  • #7 Line Integrals.
  • #8 Double integrals.
  • #9 Triple integrals, Green's theorem.
  • #10 change of coordinates, Stokes' Theorem, Divergence Theorem.

    Exam schedule:

  • Monday, February 08 (chapter 11)
  • Monday, March 01 (chapter 12)
  • Monday, March 29 (parts of chapters 13 and 14)
  • Monday, April 19 (the rest of chapters 13 and 14)
  • (Final) Wednesday, May 12, 8--11 AM in CHM-106.

    Maple Lab seed files.

    To transfer file to current directory by ftp, use shift-click (there should be a less awkward way, but I couldn't make it work). This gives you your very own copy of the file which you can open in Maple. The Save command in Maple will replace the file opened by Maple with the current contents of your worksheet. If you want to save several generations of your work, use the SaveAs command to save the current worksheet under a new name.
  • Lab 0. My version with indentation
  • Lab 0. Standard version
  • Lab 1. Standard version
  • Lecture 7. Source for graphs shown in Feb. 10 lecture.
  • Lab 2.First part of lab. The lab would be very difficult without this.
  • Lab 2 supplement.A few lines that should be added to separate sheets for later parts of the lab.
  • Lab 3.All statements given in the handout, and more. The lab would be very difficult without this.
  • Clairaut's theorem.Some calculations of partial derivatives illustrating Clairaut's theorem. Related to part 1c of lab 3.
  • Lab 4.All statements given in the handout, and a few hints. Don't forget to remove the hints after using them.

    This page changes frequently. If you don't see what you expect, use the "refresh" command of your browser to get a fresh copy. Uploads are sometimes delayed, but the aim is to get everything here when it is needed. Comments on this page should be sent to: bumby@math.rutgers.edu
    Last updated: April 30, 1999