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AP Calculus 2005: 240,000 Currently growing at ~13,000/year

AP Calculus 2005: 240,000 Currently growing at ~13,000/year. AP Calculus 2005: 240,000 Currently growing at ~13,000/year. Estimated # of students taking Calculus in high school: ~ 500,000. Estimated # of students taking Calculus I in college: ~ 500,000 (includes Business Calc). The Problem:

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AP Calculus 2005: 240,000 Currently growing at ~13,000/year

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  1. AP Calculus 2005: 240,000 Currently growing at ~13,000/year

  2. AP Calculus 2005: 240,000 Currently growing at ~13,000/year Estimated # of students taking Calculus in high school: ~ 500,000 Estimated # of students taking Calculus I in college: ~ 500,000 (includes Business Calc)

  3. The Problem: Most students in Calc I had no intention of continuing with calculus Most students in Calc II had taken Calc I while in high school

  4. Our solution: separate Calc I and II into distinct courses Calc I  Applied Calculus, a course that emphasizes, geometric understanding, concepts; includes partial and directional derivatives, linear transformations, eigenvalues and eigenvectors. The natural successor to this course is Statistical Modeling which can include multivariate analysis.

  5. Calc II  Single Variable Calculus, designed to build on the AP Calculus syllabus. AP Calc does a good job of covering the techniques and concepts of calculus, but does not involve students in deeper explorations of these topics.

  6. AP calculus AB syllabus does not include • L’Hospital’s rule • Integration by parts • Taylor polynomial approximations • Numerical methods for solving diff eqns • It is also weak on modeling in general, including • Converting problems into definite integrals • Reading and writing differential equations

  7. AP calculus AB syllabus does not include • L’Hospital’s rule • Integration by parts • Taylor polynomial approximations • Numerical methods for solving diff eqns • It is also weak on modeling in general, including • Converting problems into definite integrals • Reading and writing differential equations Not Taylor series, convergence tests!

  8. AP calculus AB syllabus does not include • L’Hospital’s rule • Integration by parts • Taylor polynomial approximations • Numerical methods for solving diff eqns • It is also weak on modeling in general, including • Converting problems into definite integrals • Reading and writing differential equations Not Taylor series, convergence tests!

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