Accurate, but also true that if you are research bound you typically enter at the year 2 or 3 level, already having finished calculus, and maybe linear algebra in high school.
Accurate, but also true that if you are research bound you typically enter at the year 2 or 3 level, already having finished calculus, and maybe linear algebra in high school.
This is becoming more common. Students are entering high snchool already having taken geometry in the 8th grade. When I graduated in the late 90s, we had calc 3 (we called it multivariable calc) and linear algebra, partially because a bit under half the class would run out of math by their senior year. They also were starting to offer differental equations and complex analysis. This was a magnet program. When I went back for my 20th reunion, I was told only maybe 5-10% didn’t already have geometry.
It’s great that they have opportunity. What’s unfortunate is this means if you aren’t in early, you are never getting in. The greatest indicator of whether you will be a math professor is whether your parents are math professors.