Depending on what math you begin with, many math classes could over lap between your majors.
For the Math and EE ( I'm not so familiar with reqs for Chem E) you will need Calc 1,2,3 + DE and probably Linear Algebra as well. (The EE major may call Linear Algebra just Matricies or Discrete Math Or some other more generic name where in you learn more than just linear algebra techniques)
Of course you will need more math for the amth major but your first 4 or 5 classes will count towards both majors. Other than that the over lap ceases. That is not to say one will not complememnt the other past that rather that only the initial classes will double up. You may take a higher level Applied Maths course that helps you a lot with your EE but it may not count for anythign in your EE major.
You will be thinking in two different ways once you are into your 3rd and 4th years. The upper division math courses may seem rather vague and abstract and less application oriented. Where as I think Ee in general will feel more application oriented