Calculus Fundamentals Flashcards

A set of vocabulary flashcards covering fundamental calculus concepts, essential tools, and prerequisites based on the introductory lecture.

Calculus

The branch of mathematics that deals with change.

Prerequisites for Calculus

Algebra and Trigonometry, which are required subjects to learn before beginning calculus.

Sphere Volume Formula

The mathematical formula $V = \frac{4}{3} \times \text{pi} \times r^3$ (or V = \frac{4}{3} \begin{matrix} \text{pi} \times r^3 \begin{matrix} / $V = \frac{4}{3} \text{pi} r^3$) used to relate the volume of a sphere to its radius.

Limits

The mathematical tools used for precisely describing how a function approaches a value.

Derivatives

The mathematical tools, built from limits, used for describing how a function changes.

Integrals

The mathematical tools that give the area underneath the curve of a function and can be viewed as the inverse of a derivative.

MySecretMathTutor.com

The website where additional calculus video lectures and example problems can be found.