Most of the mathematicians I know where either taking graduate courses sophomore year or went somewhere like Princeton, UChicago (whose honors analysis sequence taken by freshmen is grad level), Caltech, MIT, etc |
Do the mathematicians you know distinguish between anecdotal observations and empirical evidence? Do they account for the heuristic traps and biases of the former? Also, who the hell are you and why do you know so many mathematicians? |
applied math? or theoretical math? that makes a difference. |
theoretical math |
Or UChicago! Did they take one or two math classes per year after BC in high school? How many math classes per semester does she take in college? |
Take a careful look at the alma maters of the students there. It's all top schools. |
why? |
Yes, but make sure they accept the credit or offer credit/placement via challenge exams |
OP, which (math) classes has she taken so far? What has she learned via independent study (which books?)? |
*he, sorry |
DP. Will this student have completed linear algebra, for example, while still a high school student? |
Interest in theoretical math = PhD program in math. Look at the feeder schools into math PhD programs: https://www.collegetransitions.com/dataverse/top-feeders-phd-programs
You really want to look at *per capita* rankings not overall. It means a lot more if you have 5 out of 10 math majors at Swarthmore regularly heading into PhD programs vs 5 out of 500 math majors at Berkeley. |
My son took those courses in high school and his LAC made him retake them. It was because he took them at a CC that taught them with just computations, and the LAC taught them as proof based. |
At Hamilton, for example, linear algebra qualifies as a general Writing Intensive requirement. |
Your son will have yet to have taken essential (or important) college-level mathematics courses such as real analysis, abstract algebra, complex analysis, topology and functional analysis. Beyond courses in “basic” topics such as these, he might foresee taking an additional 4 to 10 math courses tailored more specifically to his interests during his undergraduate education, at least on his home campus. Therefore, as your son looks through department sites, he’ll want to see whether he can find close to 15 math courses of potential interest to him as an indicator of whether a college’s offerings would be ample for his level. Wherever he attends, he would be unlikely to be advised (or permitted) to take more math classes than this. Courses in computer science and mathematically-oriented courses in physics (e.g., mathematical physics, general relativity) also should be considered as potentially integral to the mathematical component of his education. Additional opportunities for variety and depth can arise through a Budapest semester or an REU. |