I'm trying to self-teach myself math. I have a CS background and took a lot of math courses but didn't seriously devote myself to them at the time because I didn't see how awesome math really is. At the time I was just trying to learn what I needed to have a job. Now I have a job, and I'm really interested in math and the applications it has to other industries + philosophy of math/logic/etc.

Any opinions on how I can become good at math and topics I should learn / interesting subjects to look into?

So far I'm planning on going over these subjects in this order. I'm familiar with all of them, although I'm very rusty on them and never really understood how to do proofs / logic properly.

>1
>discrete mathematics, proofs, logic
>pre calc / algebra / trigonometry
>2
>calculus
>3
>stats
>geometry
>linear algebra
>higher levels of calc

After this I'm planning on going on to other higher level maths. Also, any opinions on this roadmap?