Soon I will likely graduate from highschool and go on to pursue computer engineering at the technical university of Vienna. I know it's way too early to make decisions about careers and subfields, but I am interested in the possible paths this degree could lead me down and want to know the prospects tied to it.
Very often I see engineering influencers and people in forums say stuff like "oh those complex advanced mathematics you have to learn in college? Don't worry you won't have to use them at all during your career." I've also heard people from control systems say that despite the complexity of control theory, they mostly do very elementary PLC programming during work.
But the thing is, one of the main reasons I want to get into engineering is precisely because it is complex and requires the application of some very beautiful mathematics. I am fascinated by complexity and maths in general. I am especially interested in complex/dynamical systems, PDEs, chaos theory, control theory, cybernetics, Computer science, numerical analysis, signals and systems, vector calculus, complex analysis, stochastics and mathematical models among others. I think a field in which one has to understand such concepts and use them regularly to solve hard problems would bring me feelings of satisfaction.
A computer engineering bachelors would potentially allow me to get into the following masters programs: Automation and robotic systems, information and communication engineering, computational science and engineering, embedded systems, quantum information science and technology or even bioinformatics. I find the first 3 options especially interesting.
My questions would be: Do you know what kind of mathematics people workings in these fields use from day to day? Which field could lead to the most mathematical problem-solving at a regular basis? Which one of the specializations would you recommend to someone like me? Also in general: Can you relate with my situation as someone interested in engineering and maths? Do you know any engineers that work with advanced mathematics a lot?
Thank you for reading through this and for you responses🙏