AP Calculus AB

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

Understanding LimitsIntroduction to DerivativesFundamentals of Integrals
Techniques of DifferentiationApplications of DerivativesDefinite Integrals and the Fundamental Theorem
Calculus in Physics and EngineeringCalculus in Economics and BiologyCalculus and Everyday Problems
Mastering Multiple-Choice QuestionsShowing Work and Earning Free Response Points
Understanding LimitsIntroduction to Deri...Fundamentals of Inte...Techniques of Differ...Applications of Deri...Definite Integrals a...Calculus in Physics ...Calculus in Economic...Calculus and Everyda...Mastering Multiple-C...Showing Work and Ear...
Practical Applications

Calculus in Economics and Biology

Real-World Math in Action

Calculus is not just for math geeks—it's vital in economics and biology too!

Economics: Maximizing Profit

  • Use derivatives to find the best price for maximum profit or minimum cost.
  • Integrals help calculate total revenue or consumer surplus.

Biology: Modeling Populations

  • Differentiation models population growth rates.
  • Integration finds total population over time or area.

Why Does This Help?

Calculus gives us the tools to make smart decisions, predict trends, and understand complex systems in our daily lives.

Examples

  • Finding the price that maximizes revenue for a new product using derivatives.

  • Predicting how a bacteria population will grow over time using calculus models.

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Calculus and Everyday Problems