## Girls’ Angle Bulletin, Volume 8, Number 6

The object on the cover of Volume 8, Number 6 is called the Chebyshev Lollipop. It is based directly on an idea of Michael Trott. The mathematical content differs slightly from his creation which can be seen at MathWorld.

Chebyshev polynomials (of the first kind) appear in this summer’s batch of Summer Fun problem sets and in a new Emily and Jasmine series which commences in this issue.

Does this make you go “Hmm…”?

In school, Jasmine happened by a geometry class where the teacher had the peculiar figure shown at right on the board. That figure turned out to be the launch point for an adventure in search of nice triangles.

This issue’s interview is with the Chair of the Department of Mathematics at the University of Nebraska-Lincoln, Professor Judy Walker. In her interview, Prof. Walker gives some pointers for how to learn mathematics well, saying “I absolutely must work through examples.”

In Anna’s Math Journal, Anna takes up Prof. Walker’s specific example suggestion and explores finite fields with 4 and 8 elements

In Part 5 of our series on the derivative, we explore the derivative of the exponential function.

We wrap up with detailed solutions to this summer’s batch of Summer Fun problem sets which include proofs of the arithmetic-geometric mean inequality, a derivation of the Taylor series of the arctangent function, and a proof of Lagrange’s theorem that, in finite groups, the order of any subgroup divides the order of the group.

We hope you enjoy it!

Finally, a reminder: when you subscribe to the Girls’ Angle Bulletin, you’re not just getting a subscription to a magazine. You are also gaining access to the Girls’ Angle mentors.  We urge all subscribers and members to write us with your math questions or anything else in the Bulletin or having to do with mathematics in general. We will respond. We want you to get active and do mathematics. Parts of the Bulletin are written to induce you to wonder and respond with more questions. Don’t let those questions fade away and become forgotten. Send them to us!

We continue to encourage people to subscribe to our print version, so we have removed some content from the electronic version.  Subscriptions are a great way to support Girls’ Angle while getting something concrete back in return.  We hope you subscribe!