This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Calculus

### From Mathematics Is A Science

Part I

- What is calculus about?
- Sequences and their limits
- Limits and continuity
- The derivative
- Differentiation
- Differentiable calculus
- Ordinary differential equations

Part II

Part III

- Linear algebra of Euclidean space
- Parametric curves and vector integrals
- Linear functions in Euclidean space
- Functions of several variables
- Extrema of functions of several variables
- Partial derivatives and the gradient
- Geometry of Euclidean space
- Vector fields
- Vector integrals
- Independence of path
- Stokes theorem
- Vector functions
- Derivative as a linear operator
- Integration in dimension n