Chapter one, function and limit. Mainly the things I learned before, sets, mappings and functions are similar to those in high school, and then the new ones are infinitesimal and infinity. A trivial comparison. Two important limits, continuity of functions, etc.

Chapter 2, Derivative and Differential. In this chapter, the concept of derivative, the law of derivation is high school, and then the higher derivative, the derivative of implicit function and the differential of function are added.

Chapter three, the application of differential mean value theorem and derivative. I learned the maximum and minimum values of functions, and added L'H?pital method, Taylor formula, curvature and so on.

Chapter four: indefinite integral, this high school should only learn some basics! What's new is some methods and so on.

Chapter 5: Definite integral, which is similar to indefinite integral. What is added is the basic formula of calculus, generalized integral (generalized integral) and then the convergence is judged.

The application of definite integral in chapter 6 is the extension of chapter 5.

The seventh chapter, differential equations, was basically not learned in high school.

Chapter 8: Vector, there are many in this high school. This is the first chapter of the freshman semester. Study hard.

The later chapters involve less knowledge in high school. Of course, we will study probability theory in the future, but that's not called high mathematics! At first, this probability theory involved a little high school study. After all, universities can't go to high school all the time, and having high school knowledge is just a transition! Come on, it's not difficult at first!