Welcome to the Webpage of Edward Burkard

Course Webpage for Math 20550, Sections 41 & 42 - Calculus III Tutorial - Fall 2015

Important Information

  • Tutorial Time and Location:
    • Section 41: Thursday, 12:30-13:20 in O'Shaughnessy 116
    • Section 61: Thursday, 15:30-14:20 in Riley 200
  • Office Hours:
    • Tuesday: 12:00-13:00
    • Thursday: 11:00-12:00
    in Hurley 295, or by appointment
  • Course-specific E-mail: eburkard+Teaching@nd.edu
  • My tutorial syllabus.
  • Course Main Page: nd.edu/~sstarche/math20550/index.html
  • On this webpage you will find information about exams, grading, homework, extra credit, and most other things you might need.
  • In Fall 2013 and Summer 2014, I was an instructor for this class (Calc III). You can find my course webpages for those here: These contain my complete lecture notes for the material, as well as plenty of Mathematica notebooks to help visualize concepts, among other things.

Handouts and Other Stuff

  • Frenet Serret (TNB) Notes
  • Notes by Prof. Peter Cholak which summarize sections 13.3 and 13.4. A derivation of the formula given there for the binormal vector which is not in the book can be found in the link "Frenet Serret Notes" above.
  • Here is an exercise giving an example of a case where Clairaut's Theorem does not hold.
  • Here is a proof of the second partials test.
  • Here is some polar graph paper, which will probably help you out.
  • You can download a copy of Mathematica (for free) from the OIT website in order to use the notebooks below.