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 ...

Newspaper headlines are often filled with global issues such as climate change and the greenhouse effect, which naturally raise questions like: How can we model ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Calculus has long been the academic Goliath standing in the path of aspiring engineers, economists, scientists, and even philosophers. For many, it's not the numbers or equations that feel ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

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.