Extend Your Limits:
Calculus for High School Teachers
       Course Outline, Summer 2004
Instructor:
Lucas Monzon
Instructor:
Tony Russo
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Workshop Pages:
Calculus
Discrete Math
Probability/Statistics
Algebra

Date/Day Lecture Topics
06-21-04 *
Monday
  • Review of Functions
  • Preview of Topics
  • Limits and Continuity
  • Definition of Derivatives, Rules of Differentiation
    • 06-22-04
    Tuesday
  • Chain Rule, Implicit Differentiation, Related Rates
  • First and Second Derivative Tests, Extreme Values
    • 06-23-04
    Wednesday
  • Inverses, Derivatives of Inverses, Transcendental Functions
  • Mean Value Theorem, L'Hopital's Rule
    		•
    06-24-04
    Thursday
  • Linearization, Newton's Method
  • Curve Sketching
    		•
    06-28-04
    Monday
  • Antiderivatives, Definite Integrals, Riemann Sums
  • Numerical Integration, Fundamental Theorem of Calculus
    		•
    06-29-04
    Tuesday
  • Techniques of Integration
  • Area Between Curves, Rotations, Disks, Washers, Shells, and Cross-Sections
  • Arc Length and Surface Area of Revolution
    		•
    06-30-04
    Wednesday
  • Differential Equations, Initial Value Problems, Slope Fields
  • Work, Taylor Polynomials
    		•
    07-01-04*
    Thursday
  • Calculus II topics
  • Requested Topics
    		•

    *The star indicates the days when a group lunch will be provided.