# MAA Distinguished Lecture Series

If you live in the DC area and you like math, you have no excuse! Come to the MAA Distinguished Lecture Series. These are one-hour talks, complete with refreshments, all for free due to the generous sponsorship of the NSA. … Continue reading

# Integration by parts and infinite series

I was teaching tabular integration yesterday and as I was preparing, I was playing around with using it on integrands that don’t ‘disappear’ after repeated differentiation. In particular, the problem I was doing was this: Now this is done pretty … Continue reading

# Why are infinite series so hard to grasp?

I’ve posted on infinite series a few times before. But I was inspired to touch on the topic again because I saw this post, yesterday, over at the Math Less Traveled. Actually, the post isn’t really about infinite series as … Continue reading

# Harmonic Series Paradox

This is incredible! I hadn’t heard of this paradox. It reminds me of Gabriel’s horn. But I like it better, in fact, because it doesn’t require any Calculus knowledge. You know I like the harmonic series. I’ve blogged about it … Continue reading

# Why does the harmonic series diverge?

My Precalculus students have been asking me this question. I don’t really have a great answer, except that it’s true. Granted it’s not very intuitive. But nothing about infinite series is intuitive. For those not in my class or not … Continue reading

# Derivatives of Trigonometric Functions

First, let’s present the standard approach. This is from the calculus textbook I teach out of. This was, as far as I was concerned, the only possible proof. The pedagogical flexibility lay entirely in how to frame the question, how … Continue reading

# How do you expand √(a+b)?

This is a question that was recently asked on Quora: Is it possible to expand ? it’s easy to expand or or some other but what about aka. Here’s my answer: Just have Wolfram|Alpha do it for you :-). But … Continue reading

# The Mathematics of Juggling and more from George Hart

[Dr. Chase guest blogging again] You’re probably familiar with Vi Hart’s math videos. Less well-known are her father’s math videos. Although I was aware of his mathematical sculpture, I was not aware until today that since August 2012, he has … Continue reading

# Pi R Squared

[Another guest blog entry by Dr. Gene Chase.] You’ve heard the old joke. Teacher: Pi R Squared. Student: No, teacher, pie are round. Cornbread are square. The purpose of this Pi Day note two days early is to explain why … Continue reading