# 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

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

# 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

# Predicting Partitions

This recent news from the American Institute of Mathematics: January 20, 2011.   Researchers from Emory, the University of Wisconsin at Madison, Yale, and Germany’s Technical University of Darmstadt discovered that partition numbers behave like fractals, possessing an infinitely-repeating structure. … Continue reading

# Vi Hart’s Blog

It’s high time I gave a bit of press to Vi Hart’s Blog. If you haven’t checked it out, do so right away. It’s brilliant.  A number of people have pointed me to her blog, including one of my Calc … Continue reading

# USA Science & Engineering Festival

I went down to the USA Science & Engineering Festival yesterday. There were thousands of people there, including our science teacher Mr. Martz at the QuarkNet booth, and our distinguished guest Glen Whitney with the Math Museum exhibit. (I also … Continue reading