ESP Biography
MUHAMMAD SHUMAIL, PhD at Stanford  joining academia soon.
Major: Electrical Engineering College/Employer: Stanford Year of Graduation: 2014 

Brief Biographical Sketch:
I'm doing PhD in Electrical Engineering with Minor in Physics. My PhD dissertation is about microwave undulators for FreeElectronLasers and Synchrotron Light Sources. I really love to teach Physics, Maths, Electrical Engineering, or anything I could teach. I'm 32 years old and live in the graduate housing with my wife and three kids (7, 5, and 2 years). Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)M3365: Proofs of Binomial Theorem and Sums of Series of IntegerPowers in Splash! Spring 2014 (Apr. 12  13, 2014)
1st Part (Combinations): For example, given 5 identical blue balls and 3 identical red balls, how many ways they can be put in a linear box with 8 slots.
2nd Part (Binomial Theorem): We'll derive a general formula to compute (a + b)^n, where n is integer.
3rd Part (Sums of Series of IntegerPowers):
We'll derive a general formula to compute sums of series like: 1^n + 2^n + 3^n + 4^n +....
Here n could be 1,2,3,....
4th Part (If time permits): We'll talk about Binomial Distribution.
