Assembling Calculus

Assembling Calculus

1h 25mBeginner2024-01-25

Authors

Rich Cameron

Rich Cameron

Cofounder of Nonscriptum LLC

Joan Horvath

Joan Horvath

Cofounder of Nonscriptum LLC

Course details

Join instructors Joan Horvath and Rich Cameron as they explore derivatives, integrals, and fundamental theorems of calculus using toy bricks and 3D printed visualizations. Discover the link between these physical models and their symbolic equivalents alongside the core concepts of basic differential and integral calculus. Finally, take a deep dive into the math behind simple numerical models of classic problems such as the swinging pendulum and the equations governing populations of predators and prey. This course is designed for anyone who needs to use calculus, whether self-taught or in a traditional course, who wants to think about calculus more conceptually before diving into advanced algebra and special cases.

Skills covered

Data AnalysisData ScienceBusiness Analysis and StrategyBusiness Software and ToolsOne-Off

Concepts

Introduction

  • Assembling calculus
  • What you need for the course

The Fundamental Theorem

  • What is calculus
  • Measuring change - Derivatives
  • Adding up changes - Integrals
  • The fundamental theorem

Ideas to Symbols

  • Limits and the Mean Value Theorem
  • Derivatives - Ideas to equations
  • Acceleration - Higher derivatives
  • Minima, maxima, and inflection points
  • Dimensional analysis
  • Integrals - Ideas to equations
  • Exponentials
  • Sinusoids

Modeling Calculus Problems

  • Numerical derivatives
  • Numerical integrals
  • Series expansions
  • Modeling with exponentials
  • Simple harmonic motion
  • Systems of two equations - Predator-prey

Conclusion

  • Learning more
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