I’ve taken differential equations and linear algebra (levels 230 and 250 respectively) in my junior year.
Now, I have the option to continue by taking pure math such as discrete math (level 290) or applied math (partial differential equations) (level 590) as a senior in high school.
However, I feel that these could be too difficult for me and would prefer to take applied stats (level 210). Do you think colleges would see this as a downgrade? I am planning on being an applied math/stats major, so stats would be helpful, but I fear that colleges would think that I’m having an easy senior course load. Would you recommend me to take a risk with discrete math or applied math? Or do you think colleges would see that applied stats (the hardest stats available at my high school) is still rigorous?
Don’t worry about it. Any of the math classes you listed are fine.
You’re taking very advanced math - a 200-level (post AP) class as a senior is very respectable. Take applied stats and don’t worry about it.
It’s fine. Your guidance counselor can also explain that you want to pursue applied math/stats and that this course made the most sense for you.
Admission to colleges is based on many factors. You have already taken what would be considered extremely rigorous classes in math and shown your abilities.