Outline
Calculus
這是一本大學微積分基本教程，主要包含各種圖形可視化主題。
Table of Contents
Limits & Continuity
Sequence & Series
Derivative
Vector and Coordinate Space
- 3D Coordinate Systems
- Adding two vectors
- Vectors: Addition & Subtraction #2
- Vectors: Scalar Multiples
- Copy of 3D Coordinate System
- Plotting Points in 3D: AR Template
- Vector Addition of Two Vectors - Hugo
- Vector Projections (1)
- Copy of Scalar product
- Explore: Cross Product
- Scalar triple product
- Cylindrical Coordinates: Dynamic Illustrator
Planes
- Section 12.5-Planes in Space
- Equation of a Plane
- Naming planes with three points
- Plane Interactive
- Angle between two planes
- 11.5 Distance between a point and a plane
- Angle between plane and Line-3D
- Angle between line and plane
- Point of intersection and angle between 2 lines in 3D
- Distance from a point to a line in 3D
Quadrics
- Rotationsellipsoid
- Volume of a solid under a paraboloid
- Hyperbolic Paraboloid
- Hyperbolic paraboloid
- Paraboloide Hiperbólico
- Intersection of Plane and Hyperboloid of 1 Sheet
- Solid of Revolution Geogebra 5.0 3D - Hyperboloid
- PARAMETRIC HYPERBOLOID OF ONE SHEET
- Hyperboloid of one sheet
- Intersection of Plane and Hyperboloid of 2 Sheets
- PARAMETRIC HYPERBOLOID OF TWO SHEETS
- Conic Section Explorations
- section sphere cone
- Cone & Cylinder created from Revolution
- cylinder plane intersection
- Curve of Cylinder-Sphere Intersection-Viviani's curve
- Volume of intersecting cylinders
- Hyperboloid of one sheet
- Ellipsoid
- Cylinders
- Cone & Cylinder created from Revolution
- Simple Envelopes
Line Integral
Polor coordinate
Riemann Sums & Integral
- Definite Integral Illustrator (I)
- Trapezoid: Area (I)
- Trapezoid: Area (2)
- Definite Integral Illustrator (II)
- Definite Integrals: Sum
- Even and Odd trig functions
- What Makes a Function Odd?
- Odd Functions (Another Look)
- Odd Functions: Another Look (Take 2)!
- Parabolic Segment: Archimedes Insight
- Accumulations
- Accumulations
Multivariable calculus
- Plotting Points in 3D: AR Template
- 3D BATTLESHIP !!!
- Cylindrical Coordinates: Dynamic Illustrator
- Spherical Coordinates: Dynamic Illustrator
- Partial Derivatives: Graphical Illustrator
- Partial Derivatives
- Sphere Investigation
- Circular Paraboloid of Revolution
- Animation 111
- Special Spheroid Action: Locus Illustration
- Animation 112
- Special Hyperboloid of 1 Sheet as a Locus
- Special Hyperboloid of 2 Sheets as a Locus
- Catenoid
- Triple Integral Spherical Coordinates
- Triple Integral Cylindrical Coordinates
- Triple Integral in rectangula…
Partial Derivative
Divergence & Curl
Integration Techniques
Electromagnetism
Gradient & Directional Derivative
Surface Integral