Calculus

Indholdsfortegnelse

• Derivatives

  • Difference Quotient
  • Derivatives as Tangent Slopes
  • f(x)=f'(x)
  • f, f', f''
  • Derivative Calculator
  • Related Rates (Lighthouse)
  • Related Rates (Ladder Fall)
  • Optimization (CAS)
  • Optimization Challenge
  • Open-Top Box Optimization

• Integrals

  • Trapezoidal Rule
  • Reimann Sums
  • Integral Calculator
  • Integrals (Intro to Notation)
  • Integrals as an Area
  • Integral (Effects of Vertical Shifts)
  • Volumes of Revolution
  • Volume of Revolution Using Cylinders
  • Arc Length of a Function

• Kinematics

  • Kinematics (Particle Motion)
  • Position From Velocity
  • Displacement & Velocity
  • Parametric Functions (Variable Motion)

• Differential Equations

  • Euler's Method
  • Eulers method visualised (AI HL 5.16)
  • Phase Portraits
  • Phase Plane Sketcher
  • Coupled Differential Equations (Linear)
  • Lotka-Volterra predator-prey model
  • Foxes and Rabbits