It is my goal that when you finish this course, you will be able to:

• work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal, and understand the connections among these representations;
  
  
• understand the meaning of the derivative in terms of a rate of change and local linear approximation, and be able to use derivatives to solve a variety of problems;
  
  
• understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of a rate of change and be able to use integrals to solve a variety of problems;
  
  
• understand the relationship between the derivative and the definite integral, as expressed in both parts of the Fundamental Theorem of Calculus;
  
  
• communicate mathematics both orally and in well-written sentences;
  
  
• model a written description of a physical situation with a function, a differential equation, or an integral;
  
  
• use graphing calculators to help solve problems, experiment, interpret results, and verify conclusions;
  
  
• determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement;
  
  
• develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.