AP Calculus AB

Advanced Placement Calculus AB covering limits, derivatives, and integrals.

Understanding LimitsIntroduction to DerivativesIntroduction to Integrals
Continuity and Types of DiscontinuitiesThe Chain Rule and Implicit DifferentiationFundamental Theorem of Calculus
Modeling Motion and VelocityApplications in Economics and BiologyEngineering and Technology Applications
Multiple Choice MasteryFree Response SuccessTime Management for the Exam
Understanding LimitsIntroduction to Deri...Introduction to Inte...Continuity and Types...The Chain Rule and I...Fundamental Theorem ...Modeling Motion and ...Applications in Econ...Engineering and Tech...Multiple Choice Mast...Free Response Succes...Time Management for ...
Practical Applications

Engineering and Technology Applications

Calculus in Engineering and Tech

Engineers and technologists use calculus every day to design, analyze, and improve systems.

How It's Used

  • Signal Processing: Derivatives detect edges in images or changes in signals.
  • Structural Analysis: Integrals calculate center of mass, strength, or energy stored in structures.
  • Robotics: Calculus helps robots move smoothly and efficiently.

Making the World Work

From bridges to smartphones, calculus powers the calculations behind the scenes.

Examples

  • Engineers use integrals to determine the amount of material needed for a bridge.

  • Robotic arms use calculus to calculate smooth, precise movement paths.

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Multiple Choice Mastery