Interactive Calculus Activities
- Page ID
- 85500
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)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