In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

Easily calculating limits, directly from an intuitively clear definition, using the same basic procedure for every type of limit, with a high level of student success. The impossible dream? Not if we ...

This is a preview. Log in through your library . Abstract This paper presents a study of instructors' and students' perceptions of the knowledge to be learned about limits of functions in a college ...

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...

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.

THIS little volume has been designed as a first course in the calculus for Indian students. The treatment is the outcome of years of experiment and observation and the method followed is, as the ...