The Language of Calculus - Math Terminology

Explore the fundamental concepts and terminology of calculus in this 40-minute lecture. Delve into the relationships between position, velocity, and acceleration as a key motivating example. Learn about differentiation, differentials, and both definite and indefinite integration. Discover the historical contributions of Newton, Leibniz, and Euler to the field. Gain a comprehensive understanding of function notation and the language of calculus, essential for incoming university students. Available with English and Chinese subtitles, this lecture provides a concise overview of differential and integral calculus, complete with practical examples and historical context.

Introduction
Study of Motion
Position and Velocity
Function Notation
Differentials Newton, Leibniz, Euler,...
Integral Calculus
Indefinite Integral
Back to position, velocity and acceleration