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Of these two engineering fields, mechanical engineering probably requires the most mathematics skills, since conditions of weight, stress, load-bearing, aging of materials, etc. can become very complicated and require complex measurements and equations. Electrical engineer, too, requires some math, and all of the principle of physics pertaining to conductivity, heat transfer, energy conversions (as electric to heat, etc.). Physics, by which is meant applied physics, is essential in all engineering disciplines, since by definition engineering is the ordering, controlling, and manipulation of the physical universe to accommodate Man’s needs in society. Bridges, buildings, vehicles, etc. all rely on engineering application of physical laws. In terms of careers, it is probably best not to limit, but rather to expand, one’s knowledge of specific disciplines, at least until that time when the free enterprise system has shown you a concentration to which to apply your engineering skills. In other words, don’t choose your specialty too soon, but recognize when your personal preferences point you toward a specialty. And always remember that communication, scientific or technical or personnel-oriented, is vital to the success of any engineering project calling for several specialties to cooperate.
I would recommend mechanical engineering better than electrical engineering. Both the fields are highly involved in maths and physics. But mechanical engineering gives a better chance to make your career in product design. You will find more opportunities in 2D and 3D product design as well as product manufacturing process. In electrical engineering, your brain will be short-circuited with AC and DC currents.
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