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: 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

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.

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.

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

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!

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!