Shows that the notion of what a derivative is -- NOT what one learns in first year calculus -- that it is the "best" linear approximation to a function.This idea allows us to extend the derivative beyond what one sees in first year calculus; meaning, extending the idea of derivative to higher dimensional functions.In fact, it can be used in an "infinite" dimensional setting to derive equations of motion in physics.

Shows that the notion of what a derivative is -- NOT what one learns in first year calculus -- that it is the "best" linear approximation to a function. This idea allows us to extend the derivative beyond what one sees in first year calculus; meaning, extending the idea of derivative to higher dimensional functions. In fact, it can be used in an "infinite" dimensional setting to derive equations of motion in physics.

What is a Derivative

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods.This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about.The podcast also contains episodes on new material and some conjectures.

Science

Mathematics

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods. This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about. The podcast also contains episodes on new material and some conjectures.

Share What is a Derivative

Sign up to save your podcasts

What is a Derivative

What is a Derivative