Math Seminar Ideas: Advanced Topics Beyond Fin Math, Stochastic

[O'Fearraigh]

class. I did a lecture last semester on financial mathematics and stochastic processes. Know of any cool topics that I could lecture on?

 

[DivisionByZro]

Related to financial mathematics and stochastic processes or just an advanced topic? What is your background?

 

[O'Fearraigh]

Actually, I was looking at staying away from the mathematical finance realm (since I already did that). I have taken Calculus I and II (both with theory), Calculus III, Mathematical Statistics, Probability (with Calculus), Linear Algebra (proof-based), Mathematical Modeling, and Set Theory. I am currently taking Advanced Linear Algebra and ODE (I have familiarised myself with stochastic calculus). It needs to be lengthy, whatever the topic (lectures are supposed to last up to 1 hour... though they can be as short as 30 minutes).

 

[DivisionByZro]

Here's a list of easily-accessible and very interesting topics:

• Topology and Mobius Strips
• Basic Cryptography
• Tilings and Lattices
• Fractals
• Various appearances of the Fibonacci Sequence
• Continued fractions
• Diophantine equations (A little more involved :D )

Here's a website I found with many cool ideas:

http://www.math.yorku.ca/high school/seminar_topics.html


Good luck!

 

[micromass]

Do you have any course that you really liked?? Do you have any course in mind you would like to do something on??

Just of the top of my hat: solving the heat equation is a very cool and broad topic. And you'll get to talk about Fourier series and Fourier analysis.

Or you can talk about image processing: talk about fractals, Fourier analysis, wavelets, etc.

Or Markov chains are also immensely cool. Markov chains are currently used for example in google pagerank.