Mainstream Calculus I Enrollments (fall only for 2- & 4-yr colleges & universities) 250 AP Calculus 2005: 240,000 Currently growing at ~13,000/year 200 150 4-yr colleges & universities 2-yr colleg

Mainstream Calculus I Enrollments (fall only for 2- & 4-yr colleges & universities) 250 AP Calculus 2005: 240,000 Currently growing at ~13,000/year 200 150 4-yr colleges & universities 2-yr colleges 100 AP Calculus (AB & BC) students (thousands) 50 0 1980–81 1985–86 1990–91 1995–96 academic year 2000–01

Mainstream Calculus I Enrollments (fall only for 2- & 4-yr colleges & universities) 250 AP Calculus 2005: 240,000 Currently growing at ~13,000/year 200 150 4-yr colleges & universities 2-yr colleges 100 AP Calculus (AB & BC) students (thousands) Estimated # of students taking Calculus in high school: ~ 500,000 50 0 1980–81 1985–86 1990–91 1995–96 academic year 2000–01 Estimated # of students taking Calculus I in college: ~ 500,000 (includes Business Calc)

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 Not Taylor series, •Taylor polynomial approximations convergence tests! •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 Not Taylor series, •Taylor polynomial approximations convergence tests! •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