Summer Math/Physics Study Ideas for Advanced Students

[manlyman62]

Hello! Is there a good math or physics topic for me to study and learn this summer? I have already taken freshman physics 1 and 2 (basic mechanics and electromagnetism) Calc 1&2, and Diff Eq. In the fall, Ill be taking Calc 3, Intermediate Physics, and Advanced Mechanics, so is there something interesting I could study that would not overlap with those classes? It doesn't need to be purely academic in nature; it could be a lecture series or an interesting book on math and/or physics.Thank you!

 

[Academic]

Consider studying statistics. Its a very important and interesting subject, and many students from many places have complained about not getting enough of it in their programs.

 

[manlyman62]

Ok! I am guessing that would be calc based statistics right? AP stat in high school was without calc, and (perhaps consequently) wasn't that exciting.

 

[Goldbeetle]

Statistics plus probability theory (with calculus) would be an excellent choice! It'll pay off for sure. Or a more theoretical mathematics course such as abstract algebra or topology to learn how modern mathematics works. This too is going to pay off later on in your graduate studies.