ESP Biography
SANJAY RAMAN, ESP Teacher
Major: Physics/Math College/Employer: MIT Year of Graduation: 2023 

Brief Biographical Sketch:
Not Available. Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)S13177: A Brief Introduction to Time Travel in Splash 2019 (Nov. 23  24, 2019)
Learn about various types of time travel as portrayed in the movies from the perspective of physics students. We will be talking about paradoxes, implications, as well as the physics of time travel. Warning: will include spoilers for various time travel stories, most notably the movie, "Predestination."
M13286: The Art of Integration in Splash 2019 (Nov. 23  24, 2019)
While integration may seem like a rote task, there is actually a lot of beauty and structure we can exploit to evaluate seemingly impossible integrals.
This course will discuss these methods of (definite) integration, and apply them to some tough but elaborate integrals compiled from math competitions and integration bees. Here is a brief sampling of the integrals we will learn how to solve in this course:
$$\int_0^{\pi/2} \ln \tan x\,dx$$
$$\int_0^\infty \frac{1}{1+x^2}\cdot \frac{1}{1+x^e}\,dx$$
