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-...
Practical Applications

Signal Processing with Series

Breaking Down Waves and Sounds

Series, especially Fourier series, help us break complex signals into simple waves. This is the foundation of digital sound and image processing.

Why It Matters

  • MP3 players use series to compress music.
  • Cell phones use series to filter and transmit signals clearly.

Series in Everyday Life

  • Medical devices analyze heartbeats with series.
  • Streaming services compress and deliver clear audio and video.

Examples

  • A hearing aid uses series to filter out background noise.

  • A JPEG image is compressed using a sum of wave patterns.

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Engineering with Polar Functions