AP Calculus BC

Topic outline

• 

  Integration Techniques, L’Hopital’s Rule, and Improper Integrals BC (ITLR)

  • Integration of Rational Functions by Partial Fractions Practice Interactive Content
  • Improper Integrals with Infinite Discontinuities Presentation Interactive Content
  • Evaluating an Improper Integral Presentation Interactive Content
  • Improper Integrals Practice Interactive Content
• 

  Differential Equations and Their Applications BC (DETA)

  • Numerical Solution Using Euler's Method Practice Interactive Content
• 

  Infinite Series and Polynomial Approximations

  • Sequences Practice Interactive Content
  • Applications of Geometric Series Examples Interactive Content
  • Series and Convergence Practice Interactive Content
  • Integral and Comparison Tests Practice Interactive Content
  • Integral Test Examples Interactive Content
  • Alternating Series and Absolute and Conditional Convergence Practice Interactive Content
  • Ratio Test Practice Interactive Content
  • Power Series Examples Interactive Content
  • Power Series Radius and Convergence Examples Interactive Content
  • Power Series and Convergence Practice Interactive Content
  • Operations with Power Series Interactive Content
  • Power Series Differentiation and Integration Presentation Interactive Content
  • Representation of Functions as Power Series Practice Interactive Content
  • Taylor Polynomials and Approximations Practice Interactive Content
  • Taylor and Maclaurin Series Practice Interactive Content
• 

  Parametric Equations, Polar Coordinates, and Vector Functions

  • Parametrically Defined Curves Practice Interactive Content
  • Derivatives and Arc Length of Parametric Curves Practice Interactive Content

    Note: #5 is enrichment only. You are not expected to be able to do this problem using the trapezoidal rule but you should be able to find the length of the curve using the formula for arc length.

  • Equations of a Circle Presentation Interactive Content
  • Polar Coordinates and Graphs Practice Interactive Content
  • Polar Region Presentation Interactive Content
  • Area Between Two Polar Curves Interactive Content
  • Polar Derivatives and Areas Practice Interactive Content
  • Derivatives of Vector-Valued Functions Practice Interactive Content
  • Vectors and Vector-Valued Functions Practice Interactive Content