In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In other words, continuity did not imply differentiability. His function was just as monstrous as mathematicians had feared. The proof demonstrated that calculus could no longer rely on geometric ...

Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial ...

Provides a review of pre-calculus algebra and trigonometry integrated with the first half of Calculus I: limits, continuity, derivatives, basic derivative formulas, chain rule, implicit ...

“Absolute continuity of motion is not comprehensible to the human mind. Laws of motion of any kind become comprehensible to man only when he examines arbitrarily selected elements of that motion ...

The purpose of this course is to teach functions, limits, continuity, derivatives, polynomial, rational, exponential, hyperbolic, logarithmic, trigonometric and inverse trigonometric functions.

Introduction to Calculus. Watch all ten videos and take the quizzes to earn your certificate. Calculus Video 1: The Idea of Limits In the Idea of Limits video, we introduce the idea of limits and ...

Therefore, Calculus BC may be better suited to more ambitious students, math lovers and those who wish to pursue a degree in a math-related field. Read: 3 Signs You're Ready for AP Classes.