Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

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.

The Fundamental Theorem of Calculus is a cornerstone of calculus, linking the concepts of differentiation and integration. This video provides a thorough and accessible explanation of this important ...

The term orthogonality derives from the study of vectors. Most likely you have run across the term in basic trigonometry or calculus. By definition, two vectors in a plane are orthogonal when they are ...