Students Will Learn

How to understand the meaning of the derivate in terms of rate of change and local linear approximation
How to understand the meaning of the definite integral as a limit of Riemann sums and as the net accumulation of change
How to understand the relationship between the derivative and the definite integral as expressed in the fundamental theorem of calculus
How to model a written description of a physical situation with a function, a differential equation, or an integral
How to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement
How to use technology to solve problems, experiment, interpret results, and verify conclusions
How communicate mathematical solutions well both orally and in writing