What Does College Mathematics Entail?

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The answer to the question has to be divided based on the course a student opts.
· For those who go to college to get a degree in non-STEM major, college math will be eerily similar to that of high school. It will include all that a high school student learns in an upper level AP class like integral calculus
· For those individuals who choose an engineering major in college, the math will be slightly advanced. Along with the pre-calculus course learned in high school you will integral calculus, differential calculus and multi-variate calculus. Differential equations may also be part of the course.
· For those who want to be a math major or some thing like aerospace engineering, college math can be quite advanced. Some of the topic you will have to study will include abstract algebra (group, ring, field, etc), multi-variable calculus, Greens/Stokes theorems, analysis which are complex, real analysis and Lebesgue measure, differential equations, algebraic topology and infinite dimensional vector space (Hilbert space).
The actual syllabus taught will also vary as per the university or institute the students gets admitted to, but at an overall level the topics remains largely similar to what have been listed above.

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