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April 29th, 2019, 09:14 AM  #1 
Senior Member Joined: May 2012 Posts: 205 Thanks: 5  lack of direction
Hello, I have completed a BSC, majoring in math. I also studied classical mechanics/ electromagnetism/ and a third year introduction to quantum mechanics. I enjoyed classical mechanics/ electromagnetism, as it tended to appeal to my visual style of learning, and I enjoy using math to model physical systems. In math I have taken two courses in analysis, one course in general topology, one course in algebra, and a number of applied courses in numerical methods/differential equations/mathematical statistics and probability/calculus of variations. I enjoyed analysis quit a bit. Topology was..challenging. I am not sure that I am motivated to read James Munkres book past the first four chapters. I have been admitted to a master program starting next year, My supervisor specializes in differential equations. At this point I am simply unsure what to focus on. I would like to learn about some applied topics, such as game theory, particularly evolutionary game theory. I would also like to study topics in optimization. At the same time, as I enjoyed analysis, I thought I'd pick up a book on Functional analysis. Although I have constructed a number of computer programs designed to solve PDE's/variational/ optimization problems, I am using the "as long is it works method," I have no formal understanding of any programming language, furthermore I cannot seem so decide which programming language would be best to learn first. To summarize, I don't know where to focus my time right now, and would appreciate some advice if anyone has some to give, thanks. 

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