Material I've Provided On Line for Various Courses

• Help with reading mathematics and with proofs
• 20B   Stewart's "Calculus --- Early Transcendentals" (4th edition)
  • 6.2:  Problem 59: Another Way to Slice the Torus  ps  pdf
  • 7:  A Definite Integral Whose Indefinite Form Cannot be Done  ps  pdf
  • 7.4:  An Easier Method for Finding Some Partial Fractions  ps  pdf
  • 7.4:  Integrating Powers of Quadratics: A Lack in the Text  ps  pdf
  • 7.7:  Using the Form of the Error Term to Estimate Accuracy  ps  pdf
  • 7.7:  Deriving the Trapezoidal Rule Error  ps  pdf
  • 7.8:  Improper Integrals of Rational Functions  ps  pdf
  • 9.2:  Improving on Euler's Method (predictor-corrector)  ps  pdf
  • Appendix G:  More, including techniques of integration (about 11 pages)  ps pdf
    (There is a longer version revised by Prof. Helton that is used in 20B.)
• 20F   Leon's "Linear Algebra with Applications"
  • Ch. 2:  A proof of Theorem 2.1.1  ps  pdf
• 87  Modules for my part of a Freshman Seminar related to sports
• 166  Notes on Sipser's text (1st edition, 2nd printing)
• 188  Notes on Neapolitan & Naimipour text