Honors Calculus BC

Students who are enrolled in Calculus BC are expected to work with functions represented in multiple ways: graphical, numerical, analytical, or verbal. The use of technology to solve problems, experiment, interpret results, and support conclusions will play an integral role in the learning experience. Students will gain an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. Students enrolled in the course have the option of taking the Calculus BC Advanced Placement exam in May given by the College Board.

Topics include:
• The connections among various representations of functions
• The meaning of the derivative in terms of a rate of change and local linear approximation and use derivatives to solve problems
• The definite integral as a limit of Riemann sums, the net accumulation of change,
• the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus
• How to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement