Calculus 1

Calculus 1 introduces the fundamental concepts of limits, derivatives, and integrals, providing a foundation for advanced mathematical studies.

Understanding LimitsIntroduction to DerivativesDefinite and Indefinite Integrals
Continuity and DiscontinuityThe Chain Rule and Product RuleApplications of Derivatives
Calculus in PhysicsCalculus in Economics and BiologyCalculus in Technology and Engineering
Mastering Limit ProblemsDerivative and Integral Shortcuts
Understanding LimitsIntroduction to Deri...Definite and Indefin...Continuity and Disco...The Chain Rule and P...Applications of Deri...Calculus in PhysicsCalculus in Economic...Calculus in Technolo...Mastering Limit Prob...Derivative and Integ...
Practical Applications

Calculus in Technology and Engineering

Why Do Engineers and Tech Experts Need Calculus?

  • Designing Curves: Calculus helps create smooth curves in car bodies or smartphone screens.
  • Optimization: Engineers use calculus to design everything from bridges to airplanes for maximum efficiency and safety.
  • Signal Processing: Calculus explains how to compress photos and music.

How Does It Show Up in Real Life?

Calculus powers the math behind GPS, computer graphics, and even the way your phone recognizes your voice!

Examples

  • Engineers use derivatives to optimize the shape of airplane wings.

  • Software developers use calculus to smooth animations in video games.

Next
Mastering Limit Problems