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 this comprehensive guide, you'll explore the core definitions, essential formulas, and illuminating examples that form the foundation of calculus, equipping you with the tools to tackle complex ...

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.

The class is aimed to give rigorous foundations to the basic concepts of Calculus such as limits of sequences and functions, continuity, Riemann integration. The main focus is given to rigorous proofs ...

Basic calculus, briefly, is the determination of the slope of a point on a nonlinear function. The techniques are based on this idea of using a tangent line to approximate the slope of a nonlinear ...

Patrick M. Fitzpatrick, Brian R. Hunt, Absolute Continuity of a Function and Uniform Integrability of Its Divided Differences, The American Mathematical Monthly, Vol. 122, No. 4 (April 2015), pp.

In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy's ideas of function, continuity, limit and infinitesimal expressed in his Cours ...

If you've taken no more than one semester of Calculus in high school, your choice is simple: take MT102 Calculus I (Math & Science Majors). In the Spring semester, you'll take its direct continuation ...