A math major (associate degree program) at my local community college would start at calculus and take a total of 4 semesters of calculus & Analytic Geometry . Anything less, college algebra, trig and or basic statistics will not count towards the major. The prerequsites for calc. are college algebra and trig, if you don’t have them in HS or score high enough on the SAT you start there and turn a 2 year program into a three year program.
The problem in the US is not the colleges, it’s the public school systems, they don’t teach math, they don’t impress onthe students the need to know math, they pass kids that don’t have any math skills. But then there are those kids who for some reason love math. This group would include my two kids and they have shamed me into learning math, which by the way I’m going to be a student of for the rest of my life. Talk about an overreaction!
Congrats—the kids may have motivated you, but you’re being a great model for them!