Interactive Calculus Activities
( \newcommand{\kernel}{\mathrm{null}\,}\)
Below is a list of visualizations and activities that will help students learn calculus.
Limits, Continuity, and Derivatives
- Tables and Limits
- Real World Continuity
- Epsilon Delta Limit Definition Activity
- Tangent Line Visualization
- Sketch the Graph of y=f′(x) given the graph of y=f(x)
- Calculus Properties Game
- Estimating f(a+h) using f(a)+f′(a)h
- Visually Approximating e
- Filming the Ingenuity Mars Helicopter Using Related Rates
- Differential, Error, and Relative Error Visualization
- Consultant for Max/Min Business
- The Mean Value Theorem Visualization
- Sketch the Graph of y=f″(x) given the graph of y=f(x)
- End Behavior Activity
- Visualize Newton's Method
Integration
- Shoot a Basketball Game
- Left and Right Endpoint Approximations
- Visualize the Average Value
- Pick the Speed to Win a Race Game
- Identify When a Tumor that is Growing Exponentially Will Reach a Certain Size
- Visualizing the Disk Method
- Visualizing the Washer Method 1
- Visualizing the Washer Method 2
- Visualizing the Washer Method 3
- Visualizing the Shell Method
- Visualizing Arc Length
- Fluid Force on Aquarium Window
- Center of Mass of a Teeter Totter
- Newton's Law of Cooling for Forensic Pathology
- Length of a Hyperbolic Cosine Shaped Bridge
- Integration by Parts Activity
- Integration Mathman
- Visualizing the Midpoint Rule
- Visualizing the Trapezoidal Rule
- Visualizing Simpson's Rule
- Integral Approximations
- Euler's Method Visualization
- Logistics Growth Model and the World Population
Sequences and Series
Multivariable Calculus
- Visualize a Parametric Curve As Time Elapses
- Multiple Petaled Roses Using Polar Coordinates
- Conic Sections in Polar Coordinates and Their Graphs
- Sketching a vector in 3D
- Cylindrical Surface Visualization
- Quadric Surfaces Visualization Activity
- Deciding Whether to Use a Dot Product, Cross Product, or Something Else to Solve a Problem
- Visualize Level Surfaces
- Limits of Multivariate Functions That Don't Exist
- Interactive Tangent Plane to a Surface Creator
- Visualizing a Surface and Its Gradient
- Watch the Tangent Vector of a Vector Valued Function Animate as t Increases
- Circle of Curvature
- Finding the Tangential and Normal Components of Acceleration for a Truck on a Road
- Visualizing the Definition of the Double Integral