Discrete and Continuous Mathematics - MIT Computational Thinking Spring 2021 - Lecture 14

Explore the fascinating interplay between discrete and continuous mathematics in this 54-minute lecture from MIT's Computational Thinking Spring 2021 course. Delve into key Julia programming concepts and pedagogical approaches before examining the fundamental differences and connections between discrete and continuous mathematics. Investigate practical applications through indexing, function evaluation, and area calculations using inscribed squares. Conclude with an exploration of discrete random walks and their relationship to continuous Brownian motion. Gain valuable insights into both discrete and continuous mathematical concepts, challenging the notion that one must prefer one over the other.

Introduction.
Julia concepts.
Pedagogical concepts.
Discrete and Continuous.
Heard in the hallways: I only like discrete math. I only like continuous math..
Indexing and Function Evaluation.
Area.
Area using inscribed squares.
Discrete Random Walks and Brownian Motion.