Calculus - GeoGebra Book

Calculus - GeoGebra Book

Interactive calculus materials for learning limits, derivatives, and integrals. Explore concepts dynamically with GeoGebra.

Items: 49

Contents

Approximating Pi Using Polygon Areas

Approximating Pi Using Polygon Areas

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Menger Sponge Fractal Construction

Menger Sponge Fractal Construction

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Circle Area Dissection and Unrolling Animation

Circle Area Dissection and Unrolling Animation

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Generation and Parametric Equations of an Epicycloid

Generation and Parametric Equations of an Epicycloid

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Polar Coordinates: Tangent Direction

Polar Coordinates: Tangent Direction

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Cartesian to Polar Coordinate Conversion

Cartesian to Polar Coordinate Conversion

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Proving the Limit of sin(x)/x = 1 using the Squeeze Theorem

Proving the Limit of sin(x)/x = 1 using the Squeeze Theorem

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Limit of the Intersection Point

Limit of the Intersection Point

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Limit of a Function of Two Variables and ε-δ Definition

Limit of a Function of Two Variables and ε-δ Definition

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Demonstrating Non-existence of Limit via Two-Path Method

Demonstrating Non-existence of Limit via Two-Path Method

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Transition Matrix and Markov Chain Demonstration

Transition Matrix and Markov Chain Demonstration

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3D Surface and Geometric Construction Visualization of Power Function x^y

3D Surface and Geometric Construction Visualization of Power Function x^y

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Geometric Demonstration of Newton's Method for Root Finding

Geometric Demonstration of Newton's Method for Root Finding

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Geometric Interpretation and Definition of Partial Derivatives

Geometric Interpretation and Definition of Partial Derivatives

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Partial Derivatives, Tangent Plane, and Gradient

Partial Derivatives, Tangent Plane, and Gradient

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Geometric Visualization of Directional Derivative

Geometric Visualization of Directional Derivative

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3D Visualization of Directional Derivative and Gradient

3D Visualization of Directional Derivative and Gradient

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Derivative of the Arccotangent Function

Derivative of the Arccotangent Function

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Finding the Minimum Value

Finding the Minimum Value

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Tangent Slope and Derivative Demonstration

Tangent Slope and Derivative Demonstration

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Tangent to a Cubic Polynomial

Tangent to a Cubic Polynomial

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Tangents to a Quartic Polynomial

Tangents to a Quartic Polynomial

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Dynamic Demonstration of the Chain Rule

Dynamic Demonstration of the Chain Rule

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Riemann Sum and Definite Integral Approximation

Riemann Sum and Definite Integral Approximation

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Fundamental Theorem of Calculus Demonstration

Fundamental Theorem of Calculus Demonstration

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Area Between Two Polynomial Functions

Area Between Two Polynomial Functions

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Calculating Sum of Powers Using Integrals

Calculating Sum of Powers Using Integrals

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Definite Integral and Riemann Sums Demo

Definite Integral and Riemann Sums Demo

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Volume of Solid of Revolution using Disk Method

Volume of Solid of Revolution using Disk Method

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Volume of Solid of Revolution: Washer Method

Volume of Solid of Revolution: Washer Method

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Visualization of Double Integrals with Riemann Sum Approximation

Visualization of Double Integrals with Riemann Sum Approximation

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Double Integral and Riemann Sum Visualization

Double Integral and Riemann Sum Visualization

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Adaptive Partitioning for Integral Approximation

Adaptive Partitioning for Integral Approximation

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Area Under a Curve and Riemann Sums

Area Under a Curve and Riemann Sums

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Circular Washer Model 2

Circular Washer Model 2

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Geometric Construction and Optimization of a Torus

Geometric Construction and Optimization of a Torus

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3D Visualization of Double Integrals

3D Visualization of Double Integrals

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Interactive Double Integral Visualization

Interactive Double Integral Visualization

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Solid with Circular Base and Square Vertical Cross-Section

Solid with Circular Base and Square Vertical Cross-Section

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Triangular Cross-Section with Circular Base

Triangular Cross-Section with Circular Base

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Solid with Circular Base and Semicircular Cross-Sections

Solid with Circular Base and Semicircular Cross-Sections

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3D Solid Construction with Square Cross-Sections over Two Functions

3D Solid Construction with Square Cross-Sections over Two Functions

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Box with Superelliptical Cross-Section

Box with Superelliptical Cross-Section

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Mouhe Fanggai: Intersection of Two Cylinders

Mouhe Fanggai: Intersection of Two Cylinders

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Geometric Construction of a Circular Washer

Geometric Construction of a Circular Washer

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Solid of Revolution: 3D Surface of 8y² = x²(1 - x²)

Solid of Revolution: 3D Surface of 8y² = x²(1 - x²)

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Visualizing the Volume of an Obliquely Cut Cylinder

Visualizing the Volume of an Obliquely Cut Cylinder

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Fourier Series

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Fourier Series Expansion Demo

Fourier Series Expansion Demo

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