How can I quickly learn advanced math concepts for my PhD in engineering? I am a PhD student majoring in Medical Engineering. My interest in Math is high, but my knowledge isn't. I have just a bit of knowledge in Calculus, Linear Algebra and a little Statistics (just can do mean, median and mode). When I entered my PhD, I was really surprised at the complexity of the concepts we were expected to know, like SLAM, Green's Theorem, Cholesky factorization, etc.
How can I catch up? The time constraint is really short (2 months), and I want to really understand all the concepts to the point where I can derive them. However, if I am stuck, I don't want to see the answer since it makes me feel depressed and that makes me realize that I really lack in fundamentals.
I really like Mathematics, but after seeing a lot of Math problems on YouTube where I cannot even get close to the solution, I am questioning whether I am fit for Engineering or not.
The truth is: There is no magic bullet. You didn't learn engineering in two months, and you won't learn math in two months.
If there are specific mathematical concepts you need for your work, you can of course select books from that area. If self-study is not fast enough, you can also consider paying a tutor to walk you through material. But short of that, mathematics is like any other field and language: It requires years or studying and practice to become fluent and productive in.