Course Description:

Advanced Placement Calculus BC is intended for students who have a thorough knowledge of analytic geometry and elementary functions. Although all of the elements of the Advanced Placement Calculus AB course are included, this course provides a more rigorous treatment of these introductory calculus topics. The course also includes the development of the additional topics required by the College Entrance Examination Board in its syllabus for Advanced Placement Calculus BC. Among these are parametric, polar, and vector functions; the rigorous definition of limit; advanced integration techniques; Simpson’s Rule; length of curves; improper integrals; Hooke’s Law; and the study of sequences and series. The use of the graphing calculator will be fully integrated into instruction and students will be called upon to confirm and interpret results of problem situations that are solved using available technology. Students are required to take the AP Calculus BC examination which is administered in May. College credit and/or advanced placement in college is available to those students receiving a qualifying score on the Advanced Placement Examination.

Taught by: Stuart Payne

Prerequisite: AP Calculus A/B, Functions/Analytic Geometry and teacher recommendation

Classes after: Linear Algebra

Learning Targets:

  • Analytic geometry
  • Elementary function
  • Parametric, Polar, Vector functions
  • Rigorous definition of limits
  • Hooke’s Law
  • Sequences and Series
  • Length of curves
  • Improper integral
  • Applications
  • Trigonometric functions

Student Perspective: In terms of actual subject matter, I’ve learned integrals, differentiation, slope fields, and Newton’s Method. At the same time, I’ve learned other things such as how to study for calculus. I learned that the key to success is to expose yourself to as many practice problems as you can. My advice to prospective students is to, like I said earlier, do as many problems as you can. Therefore, when test or quiz time comes around, you will have seen so many different types of problems that it won’t be as hard. My favorite memory is when I came into class worried about a quiz on Logarithmic Differentiation and I ended up getting up my highest quiz grade ever.