Course Description:

Advanced Placement Calculus AB explores the topics of limits/ continuity, derivatives, and integrals. These ideas are examined using a multi-layered approach including the verbal, numerical, analytical, and graphical analysis of polynomial, rational, trigonometric, exponential, and logarithmic functions and their inverses. The student will be expected to relate the connections among these approaches. Students will also be required to synthesize knowledge of the topics of the course to solve applications that model physical, social and/or economic situations. These applications emphasize derivatives as rates of change, local linear approximations, optimizations and curve analysis, and integrals as Riemann sums, area of regions, volume of solids with known cross sections, average value of functions, and rectilinear motions. As mandated by the College Board, graphing calculators will be required. Students are required to take the AP Calculus AB examination which is administered in May. College credit and/or advanced placement in college is available to students receiving a qualifying score on the Advanced Placement Examination.

Taught by: Stuart Payne

Prerequisite: Functions/Trigonometry or Functions/Analytic Geometry and teacher recommendation

Class after: AP Calculus BC

Learning targets:

  • Limits and Continuity
  • Derivatives
  • Integrals
  • Multilayered approach to find functions
  • Applications
  • Area
  • Rectilinear motions
  • Logarithmic functions
  • Exponential functions
  • Trigonometric functions

Student Perspective:

The rumors are true. Calculus is a challenging class. The tests are difficult, but staying after with the teacher is crucial. I would recommend completing all work given to you even if it isn’t for a grade. Mr. Payne is very open and will help you any way he can if you don’t understand a concept. I would suggest taking this class because it will be worth it in college when you are familiar with the concepts.