1. Learn Differential Equations. During my undergraduate I had the option to take Combinatorics and Number Theory or Combinatorics and Differential Equations. I decided to do the Combinatorics and Number Theory route because one of my favorite classes was Abstract Algebra, and Number Theory is a specific case of the generalization of group, ring and field theory. Therefore, I have decided to learn Differential Equations so that I can learn more about Laplace and Fourier Transformations. I will learn Differential Equations by buying a Differential Equations textbook and working through the book.
2. Learn Galois Theory. During my undergraduate I found Abstract Algebra, especially Field Theory, to be extremely interesting. Galois Theory is the study of field extensions of a given field. I will learn Galois Theory by buying a textbook that introduces Galois Theory and by working with my friends that are in a Masters program as well as with my old mathematics professors.
3. Learn to proficiently drive manual cars. I will learn this by borrowing my friend’s car and asking her to assist me. I may need to learn if I go to Ireland this August. I have always had automatic cars but have driven manual cars from time to time.
I am leaning toward #2, hence the video.