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I study electrical engineering. I have passed the exams of mathematics and I don't have classes of mathematics anymore. Although I have passed mathematical exams with high grades, I have forgotten many things since I don't learn these things separately. Actually a quick look at the notes is enough to understand things.

I would like to ask you how is it with your knowledge of mathematics. Is it enough to know how to apply math for solving problems or should engineers know all the theory background as well.

I would also like to ask you which subjects should be known.

I have learned series, calculus, linear algebra, differential geometry, complex analysis, fouriere transforms, laplace transforms, differential equations, probability theory.

Is there anything else about the mathematics that engineer should know?

Could anyone recommend me any good handbook of mathematics for engineers?

I would also like to ask you how do you approach to the problem with mathematics. If there is a problem do you lean on mathematics theory or you use mathematics only as a tool and lean on theory linked to that object (for ex. electricism, magnetism, radiation ecc.).

Regards,

Niko