Elementary mathematics is a simple operation of addition, subtraction, multiplication, division, exponent and power, while advanced mathematics is an operation based on differentiation and integration. Most elementary mathematics can get definite solutions, and only a few advanced mathematics can get definite solutions. In order to solve this problem, mathematicians have come up with many methods, trying to get more calculus solutions, thus producing a huge and profound advanced mathematics.

Elementary mathematics will eventually involve the derivative part, which paves the way for the later advanced mathematics.