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.