UMTYMP Calculus I
Harel Barzilai, instructor

  • Homework Hints Page for Calculus I.

  • Login here (WebCT for UMTYMP Calculus I, Harel Barzilai (Instructor), John Hall (Teaching Assistant).
  • WebCT e-list ARCHIVES and the Central WebCT page (Canada).


    UMTYMP Calculus II
    Harel Barzilai, instructor

  • Elementary D.E. (Blanchard, Devaney, Hall);
  • Series (Stewart);
  • Linear Algebra (Bretscher);
  • Intro to Vector Calculus (Barr).
  • Technology Survey (co-designed with Andrea Olson).
  • Course Overview (Info Sheet)
  • Handout:   Working in Groups: Some Suggestions.
  • Sept 2, 97: Class 1     Lecture 1
  • Sept 9, 97: Class 2     The Pond (Quiz)
  • Sept 16, 97: Class 3
  • Sept 23: What in the World is a Bifurcation (p 1)   pp.2-3 (photocopies)   p.4, my add'l probs
  • Sept 30:
  • Oct 7: Brief lecture: Sequences;
  • Presentation/Group Discussion: If Only Every Function Were a Polynomial ;
  • Activity: Laboratory Project: Taylor Polynomials
  • Oct 14: Lecture on Series and Guido's Mystery: "0=1??" (first hour);
  • Lead Review Session for Exam 1 (second hour)
  • Oct 21: Exam I (First hour)
  • 2nd hour: HW presentations (14 mins); intro to activity (6 mins); Activity: The Race (40 mins)
  • Oct 28 -- Lecture: Overview: Sequences and Series and all previous tests
    HW review and Lecture: Alternating Series Test and Ratio Test.
    Activity in Groups A Sequence of Series from Stewart.

  • Nov 4: HW Review and intro to Power Series; Handouts Ask Cyberman
  • Handout:"Series, Integrals, and Hidden Patters" (See Cornell Calc Reform Pages)
  • Handout: "A Medical Applications of Geometric Series (See Cornell Calc Reform Pages)
  • Activity:Taylor Series Cookbook (See Cornell Calc Reform Pages)
    December 97-March 98:
    Teaching from Otto Bretscher's Linear Algebra.
  • Activity: Sail Away! (Vector Projection/Components of Vectors).
    Additional Resources
     for UMTYMP Students:
  • Lin Alg Notes (UNL, by Mark Sapir).

  • Lin Alg Notes (Duke).