Kapitel
Calculus
1D calculus
Inhaltsverzeichnis
Limits
Numerical Methods
- Newton's Method
- Stair-step approximation of function
- Sums of Rectangles
- Riemann sums for definite integrals
- Riemann, Trapezoid, and Simpson's methods for numerical integration
- Simpson's Rule with Cubic Functions
- Numerical Integration
- Euler's Method
- Slope Fields and Solution Curves
- Slope Field
- Safer Slope Field
Differentiation
Integration
Volumes and Surface Areas
- Washer Method
- illustration of volume as a set of nested cylinders
- exponentials volume of revolution
- Surfaces of Revolution
- Solids with regular-polygon cross-sections
- Circles between Curves
- Equilateral Triangles based between Curves
- Isosceles Triangles between Curves
- Squares with diagonal bounded by Curves
- Revolving 2 exponentials
- Revolving exponential and polynomial
- Stepping through Volume-by-Shells method
- Arc Length for y(x)
Series
Fourier Series
misc