The quality of mathematical foundation determines the ability and accomplishment of engineering design and manufacturing personnel. According to relevant data, the relationship between high number and industrial engineering is the quality of mathematical foundation, which determines the ability and literacy of engineering design and manufacturing personnel. Higher mathematics refers to a more complicated part of mathematical objects and methods compared with elementary mathematics and secondary mathematics. Algebra, geometry and simple set theory in middle schools are called secondary mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.