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Is there a branches of mathematics website or poster online?


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Ds asked me yesterday about the branches of mathematics. I tried to google, but didn't know where was good my math understanding tops out at about pre-calculus. I pulled up all the math classes at MIT to give him an idea, however, he's curious about sequence and direction of studies in a overall sense.

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After basic math is mastered, you can go in SO many different directions in your higher math studies that it would be nearly impossible to lay out any one sequence. What he could do is visit the math department websites for different colleges and check out recommended course lists for their math majors. Usually they'll come in different flavors: pure math, applied math, statistics, computer science, actuary science, etc.

 

The MAA's library list of math books for undergraduates breaks the subject down into several subcategories, and he could also explore within each heading to get a flavor of what's interesting to mathematics people. The AMS has lots of fun info and links about studying and pursuing a career in math (see the high school student page link near the bottom).

 

It's hard to order the branches because it always comes out looking like this map! (credit to Don Cohen of Calculus by and for Young People)

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I seem to remember that I saw some cool branch of topics on Khan Academy. You may want to check that out.

Thank you, I had forgotten that was there. I need to get him back on there, going through the concepts.

 

After basic math is mastered, you can go in SO many different directions in your higher math studies that it would be near impossible to lay out any one sequence. What he could do is visit the math department websites for different colleges and check out recommended course lists for their math majors. Usually they'll come in different flavors: pure math, applied math, statistics, computer science, actuary science, etc. The MAA's library list of math books for undergraduates breaks the subject down into several subcategories, and he could also explore within each heading to get a flavor of what's interesting to mathematics people. The AMS has lots of fun info and links about studying and pursuing a career in math (see the high school student page link near the bottom). It's hard to order the branches because it always comes out looking like this map! (credit to Don Cohen of Calculus by and for Young People)

 

Thank you, Kathy. Those links are exactly what I'm looking for. Love that map! Those should satisfy his curiosity for the meantime.

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