I'm scheduling out the courses I will be taking at my university and I have the option to take either of these two courses. I am a physics major, specializing in cosmology. I think I will try to learn both of these courses as I have a very light summer. However I can only take one of these courses with a professor and lecture environment. Which leads to my question:
Which course is easier to learn or recommended to learn on your own and which one needs lecture supplement?
Probability theory looks like this: Elementary probability theory; modes of convergence; martingales, Gaussian, Wiener, and diffusion processes; Brownian motion; applications.
PDE looks like this: Introduction to second-order linear partial differential equations–heat, wave and Laplace equations, separation of variables in PDEs, Strum-Liouville eigenvalue problems, Fourier series analysis and Green’s functions, Laplace and Fourier transform methods.
Depending on which seems easier to self-teach, could you also point me in the right direction of how to get started?
Thank you for your time and consideration!