﻿﻿ for students – futurebird

## Video links for STAT students.

Dear class, Not all YouTube math videos are created equal!! I will post links to the most useful ones here:   Confidence Intervals: Introduction to confide...

## Summer courses almost over, "children's" books in the works.

This summer is one I will remember. I taught both differential equations and calculus II for the first time. Seeing these subjects from the instructors side has...

1. Find an equation of the tangent to the curve that is parallel to x−4y = 1. (It is better to leave the natural log in the equation, don't find a decimal value...

## Extending L' Hopital. (For my students. )

How can one deal with ? It appears to be the indeterminate form . The graph shows that it has a nice limit: (Notice, how this function produces imaginary vales ...

## Counting using products.

Today I proved the [[wiki|binomial theorem|binomial theorem]] for my class. I did an informal proof showing them how, if we consider the set containing the alph...

## Looks can be deceiving!

Look at the graph in the previous post. I was right! They don't intersect at a common point, rather the limit of the consecutive intersections is . This is just...

## Points that call out to you.

, , ... You get the idea. Naturally I want to know what those intersections are! I need to go for a run before it gets dark, but It seems that if we fix x=1 the...

## Quickie.

A curve A is orthogonal to B is the tangent lines at their intersections are perpendicular. Thinking of the follium of Descartes again, give the equation for a ...

## Fixed points.

"Prove that if f,g are continuous functions on [0,1] with range [0,1], then there exists a point c such the " This is a variation on a popular problem given to ...

## Rational points on the folium.

My students are studying implicit differentiation, we look at the folium of Descartes: They found the equation of the tangent at For their homework I want to ha...