AP Calculus BC

Advanced Placement Calculus BC including series, parametric equations, and polar functions.

Sequences and Series IntroductionConvergence TestsPower Series and Taylor Series
Parametric Equations and CalculusPolar Coordinates and CalculusConvergence and Error in Taylor Series
Modeling Motion with Parametric EquationsSignal Processing with SeriesEngineering with Polar Functions
Mastering Series QuestionsVisualizing Parametric and Polar CurvesBreaking Down Multi-Step Problems
Sequences and Series...Convergence TestsPower Series and Tay...Parametric Equations...Polar Coordinates an...Convergence and Erro...Modeling Motion with...Signal Processing wi...Engineering with Pol...Mastering Series Que...Visualizing Parametr...Breaking Down Multi-...
Study Strategies

Mastering Series Questions

Tips for Tackling Series Problems

  • Identify the Series Type: Look for geometric, telescoping, or alternating series.
  • Choose the Right Test: Use convergence tests that fit the series' structure.
  • Write Out Terms: Seeing patterns helps spot errors and select strategies.
  • Estimate Sums: Use partial sums for an idea of convergence or divergence.

Practice with a variety of series—familiarity builds speed and accuracy!

Examples

  • Spotting a geometric series and quickly applying the formula.

  • Using the ratio test to check a series with factorials.

Next
Visualizing Parametric and Polar Curves