Welcome to the Webpage of Edward Burkard

Course Webpage for Math 20550, Sections 21 & 61 - Calculus III Tutorial - Fall 2014

Important Information

  • Tutorial Time and Location:
    • Section 21: Thursday, 11:00-11:50 in Pasquerilla 109
    • Section 61: Thursday, 12:30-13:20 in Hayes-Healy 117
  • Office Hours:
    • Wednesday: 16:00-17:00
    • Friday: 16:00-17:00
    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.
  • Last Fall and this Summer, 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 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.