Calculus

Study of continuous change through derivatives and integrals.

Limits and ContinuityDerivatives and Rates of ChangeIntegrals and Area Under Curves
Applications of DerivativesTechniques of IntegrationInfinite Series and Convergence
Modeling MotionEconomics and OptimizationBiology and Population Growth
Breaking Down ProblemsMemorizing Key FormulasChecking Your Work
Limits and Continuit...Derivatives and Rate...Integrals and Area U...Applications of Deri...Techniques of Integr...Infinite Series and ...Modeling MotionEconomics and Optimi...Biology and Populati...Breaking Down Proble...Memorizing Key Formu...Checking Your Work
Practical Applications

Biology and Population Growth

Understanding Nature with Calculus

In biology, calculus models how populations grow or shrink, how diseases spread, and how chemicals move in the environment.

  • Population Dynamics: Predict animal or human population changes over time.
  • Epidemiology: Model the spread of diseases.
  • Medicine: Calculate rates of drug absorption.

By using calculus, biologists can make predictions and decisions that help protect species and improve health outcomes.

Examples

  • Modeling rabbit population growth with differential equations.

  • Predicting how quickly a disease will spread through a community using calculus.

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Breaking Down Problems