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 ...

(WARNING: Students can get credit for only one of Math 108, Math 111, or Math 131) Description of the course. Concepts covered in this course include: standard functions and their graphs, limits, ...

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

PROF. J. K. ROBERTSON, professor of physics, Queen's University, Kingston, Ontario, in his presidential address to the Royal Society of Canada de-livered on May 21, 1945, argues that the notions ...