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