Discrete Calculus & Probability

Unit 1 Outline Difference Calculus

Review of differential calculus
The forward difference operator
Calculus of the forward difference operator
Differential v. Difference Calculus
Factorial powers and binomial coefficients
Conversion between ordinary powers and polynomials and factorial powers and polynomials
Stirling numbers
Synthetic division
Higher-order differences
Divided differences
Divided differences and the Newton interpolating polynomial
Operator calculus