The learning content of advanced mathematics in the first year of college
General majors (non-mathematics majors) only study advanced mathematics for one year, and the contents mainly include: (1) function and limit; Basic concepts of calculus; Calculation and application of integral; Differential mean value theorem and Taylor formula; Vector algebra and spatial explanatory geometry: differential calculus of multivariate functions; (Volume 2) Double integration; Curve integral and surface integral; Ordinary differential equation; Infinite series; Generalized integral and parametric integral; Fourier series. Different schools, different majors in the same school, use different textbooks, and sometimes the textbooks ordered by colleges are different from those used by teachers. Commonly used textbooks are Tongji Edition and Peking University Edition. The Peking University edition is a little more difficult. But the content is the same. Maybe the content is in a different order. Is this classmate going to college? In fact, there is no need to worry about this problem. It is ok to borrow textbooks from brothers and sisters. I wish you a happy university!