微積分
Contents
Approximating Pi Using Polygon Areas
Menger Sponge Fractal Construction
Circle Area Dissection and Unrolling Animation
Generation and Parametric Equations of an Epicycloid
Polar Coordinates: Tangent Direction
Cartesian to Polar Coordinate Conversion
Proving the Limit of sin(x)/x = 1 using the Squeeze Theorem
Limit of the Intersection Point
Limit of a Function of Two Variables and ε-δ Definition
Demonstrating Non-existence of Limit via Two-Path Method
Transition Matrix and Markov Chain Demonstration
3D Surface and Geometric Construction Visualization of Power Function x^y
Geometric Demonstration of Newton's Method for Root Finding
Geometric Interpretation and Definition of Partial Derivatives
Partial Derivatives, Tangent Plane, and Gradient
Geometric Visualization of Directional Derivative
3D Visualization of Directional Derivative and Gradient
Derivative of the Arccotangent Function
Finding the Minimum Value
Tangent Slope and Derivative Demonstration
Tangent to a Cubic Polynomial
Tangents to a Quartic Polynomial
Dynamic Demonstration of the Chain Rule
Riemann Sum and Definite Integral Approximation
Fundamental Theorem of Calculus Demonstration
Area Between Two Polynomial Functions
Calculating Sum of Powers Using Integrals
Definite Integral and Riemann Sums Demo
Volume of Solid of Revolution using Disk Method
Volume of Solid of Revolution: Washer Method
Visualization of Double Integrals with Riemann Sum Approximation
Double Integral and Riemann Sum Visualization
Adaptive Partitioning for Integral Approximation
Area Under a Curve and Riemann Sums
Circular Washer Model 2
Geometric Construction and Optimization of a Torus
3D Visualization of Double Integrals
Interactive Double Integral Visualization
Solid with Circular Base and Square Vertical Cross-Section
Triangular Cross-Section with Circular Base
Solid with Circular Base and Semicircular Cross-Sections
3D Solid Construction with Square Cross-Sections over Two Functions
Box with Superelliptical Cross-Section
Mouhe Fanggai: Intersection of Two Cylinders
Geometric Construction of a Circular Washer
Solid of Revolution: 3D Surface of 8y² = x²(1 - x²)
Visualizing the Volume of an Obliquely Cut Cylinder
Fourier Series
Fourier Series Expansion Demo