Since Elkins might start doing Mandelbrot next year, and in order to increase our qualifiers for the AIME exams,
next year, I might start teaching problem solving out of my book First Steps for Math Olympians at Math Club every Monday.
Since I will be teaching out of a book, it shouldn't really matter who teaches as long as we can explain the method used to reach the answers.
I plan to explain the theorems + results in each chapter, then work through examples, and finally give the ten problems relating to the subject, which I will have copied from the book, as homework. If there are any questions, they could ask me the next Monday when we go over the answers to the homework assignment.

Chapters in First Steps for Math Olympians:
1.Aritmetic ratios
2.Polynomials and their Zeros
3.Exponentials and Radicals
4.Defined Functions and operations
5.Triangle geometry
6.Circle geometry
7.Polygons
8.Counting
9.Probability
10.Prime decomposition
11.Number Theory
12.Sequences and Series
13.Statistics
14.Trigonometry
15. Three-Dimansional Geometry
16.Functions
17.Logarithms
18.Complex Numbers

Again, we will cover one chapter every Monday and assign ten questions as homework. Keep in mind that each chapter is pretty much ony an "intro" to the subject.

I still need to ask both Ward and the future President what they think.
Any Feedback/ideas?

I question how many people would want to listen to you lecture about math...but anyway, you should edit in a poll

I think it's a pretty good idea.

It would make the club more "math-like" and more official and not just a name slapped onto a group of people who go to math/cs competitions.

Though I think you'll need to brush up on your intercommunication skills and teaching, Ani. While they're probably not as bad as say, me or Michael's, if you could get teaching or communicating skills from Jared it would be cool.