Calculus II

Calculus II delves into advanced integration techniques, series, and applications of calculus to real-world problems.

Techniques of IntegrationSequences and SeriesParametric and Polar Equations
Power Series and Taylor SeriesConvergence TestsApplications of Integration
Engineering and Physics ApplicationsEconomics and Population ModelsMedicine and Biology
Recognizing the Right TechniqueChecking Your Answers
Techniques of Integr...Sequences and SeriesParametric and Polar...Power Series and Tay...Convergence TestsApplications of Inte...Engineering and Phys...Economics and Popula...Medicine and BiologyRecognizing the Righ...Checking Your Answer...
Practical Applications

Economics and Population Models

Predicting the Future

Calculus II isn't just for scientists! Economists and biologists use these tools to predict trends and make decisions.

  • Compound Interest: Series predict how money grows over time.
  • Population Growth: Models using differential equations and series estimate future populations.

Why It Matters

Understanding these models can be the key to smart investments or managing resources for a growing city.

Examples

  • Estimating the value of an investment using a geometric series.

  • Modeling population growth with an exponential function and approximating it with a Taylor series.

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Medicine and Biology