Hi,
Mathematics and Computing is a beautiful branch with a cross-disciplinary curriculum and excellent prospects. In this answer, I’ll try and summarize the branch in terms of the course structure and the career opportunities.
Course Structure
Mathematics and Computing mostly comprises of pure and applied maths, basics of computer science, finance, economics/econometrics and very little electronics as well.
Most of the maths is purely abstract (which focuses on mathematical thinking), meaning something that can’t be easily defined in a physical sense. Subjects like Discrete Mathematics, Real Analysis and Modern Algebra are composed mostly of proofs. This leads to a lot of memorization in order to secure decent marks. Even after flipping through entire books sometimes it becomes difficult to find any trace of numbers.
In contrast, there are some computation intensive subjects like Numerical Methods or Scientific Computing. These subjects teach various techniques of finding approximate solutions to a wide variety of equations.
Finally, there is this group of subjects that makes the branch so attractive. The subjects which form a very solid backbone of the technology and finance industries. Subjects like Financial Mathematics, Linear Algebra, Operations Research, Stochastic Processes and Matrix Computation will enable you to model real world problems in mathematical, statistical or probabilistic models. These subjects are roughly concerned with optimization of limited resources and maximizing the profits or chance of success and equip the students with essential skills to succeed at a multitude of jobs. These are wholesome subjects involving almost equal proportions of theory (proofs) and computations.
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