The number of math classes depends on the school and program. However, in most school curriculum, a Computer Engineering student is required to take math classes that include Calculus 1–3, Linear Algebra, Differential Equations, Complex Analysis and Discreet Math.
That being said, if all you want to do is write code on a business logic level, maybe just get an associates degree and start working. It'll cost less and you'll start making money sooner.
Expect any decent CS program to involve quite a bit of advanced mathematics. If you're okay with that, go for it. If not, think about what you really want to do and what it might take to get into that career path.
For me, I took a Calculus College Prep course in 12th grade. I took Calc 1 and 2 in my freshman year and Calc 3 and Calc 4 in my sophomore year. The math courses ate up half of my college years. Don't be in engineering if you hate math or you are just bad it. Not worth it.
p.s you don't have to love math to major in engineering
Most ABET accredited universities require the following math courses for a Computer Engineering program:
Calculus I & II for Engineers, Differential Equations, Linear Algebra, Advanced Calculus for Engineering Applications, Discreet Mathematics/Digital Logic Design.