Notas del episodio
The general theme is to show that the differencing and summing oof sequences of numbers are inverse operations in some sense. This is easy to do and helps us understand the continuous analogs of these; namely, differentiation and integration.
Goes further and examines difference equations and relates them to the continuous notion of differential equations. Once again, it uses the easier discrete problem to help understand the continuous one.
Places supporting concepts to the appendices. These include:
- Functions, Formulas, Graphs, and Notation..
- Straight Line Functions.
- Infinite Sequences and Limits.
- Mathematical Induction.
- Taylor's Theorem.
Palabras clave
DiscreteContinuousdifferencesumdifferentiationintegration