Learning Recommendations: at least a C average in AP Calculus AB or Calculus CHS

General Description: This one-year course develops the topics of limits, derivatives, integration, polynomial approximations and series, and their formulas for algebraic and transcendental functions. This class follows the College Board AP Calculus BC course guidelines, which covers topics in the AP Calculus AB course, and develops the topics beyond that course for preparation of the AP Calculus BC exam. Additionally, this course covers topics as outlined by Bellevue College’s Math 152, 153 and 254 courses which then qualifies students to earn College in the High School Credit. Math 153 and Math 254 are credits offered beyond the credits typically earned through AP testing.

Content:

I. Functions, Graphs, and Limits

  • Analysis of graphs
  • Limits of functions
  • Parametric, polar, and vector functions

II. Derivatives

  • Concept of the derivative
  • Derivative at a point
  • Derivative as a function
  • Second derivatives
  • Applications of derivatives
  • Computation of derivatives

III. Integrals

  • Interpretations and properties of definite integrals
  • Applications of integrals
  • Fundamental Theorem of Calculus
  • Techniques of antidifferentiation
  • Numerical approximations to definite integrals

IV. Polynomial Approximations and Series

  • Concept of Power Series
  • Taylor and Maclaurin Series
  •  Convergence of Series

Strategies:

The students will learn through a combination of:

  • Direct instruction
  • Small group investigations
  • Teacher-led investigations                                                                                        

Equipment to be provided by student:  Graphing Calculator , Fee for AP Exam.