I am currently a first year Ph.D. student in Applied Math. As an undergrad, I did not have the opportunity to take a calculus based physics course and the one I took was a general physics course where emphasis was on the concepts (most of which I already forgot).
Given my mathematical background, I honestly think that I would've understood and appreciated physics more had it been taught to me from a calculus perspective. Now I am still unsure about my research interests but I definitely want to work on applications of pde, statistics, and probability (all 3) in engineering applications. Right now, I am hoping to work in stochastic differential equations or maybe stochastic inverse problems, totally unsure but I am exploring my options!
That said, I am taking graduate level courses in the math fields relevant to my interests. But because a lot of courses is required to learn pdes/probability, I do not have time to take courses in engineering or at least a physics course! So during my winter break, I am hoping to read up on a calculus based physics book to enhance my understanding of physics as well as to be able to have a grasp of the engineering applications I will be working on in the future. At the moment, the book I have is University Physics by Sears, Zemansky, Young, Freedman, and Ford.
Now I am primarily looking at civil engineering applications, specifically in earthquake engineering and materials science involved in structures. I am also open to fluid mechanics. For those unfamiliar, this book is divided into major fields in physics: Mechanics, Waves/Acoustics, Thermodynamics, Electromagnetism, Optics, and Modern Physics. Which fields should I focus on and which ones do you recommend I should skip? Honestly, I feel that electromagnetism is not relevant but I am unsure about the others.
Any suggestions? I'd greatly appreciate it! Thanks for the help.