The content of the course of mathematical analysis generally consists of four parts: limit theory, unitary calculus, series theory and multivariate calculus, in which unitary calculus corresponds to what is usually called "elementary calculus" abroad, while limit theory, series theory and multivariate calculus correspond to what is called "advanced calculus" abroad. The main contents of limit theory are: the limit of sequence, the limit of function, continuous function, the basic theorem about real number, and the properties of continuous function on closed interval.
Learning skills of college mathematics
First, college mathematics pays great attention to logic. Preview before class is helpful to learn college mathematics well. One is to find out what you don't understand, and the other is to deepen your impression of formal courses.
Second, focus on mastering key formulas. College mathematics won't be too deep. Basically, you have learned all the relevant contents, and there are so many exams, so you must recite the formula.
Third, practice is very important. Although the college mathematics test is not deep, students often listen to the teacher in class and understand it. But after class, I did exercises myself, only to find that I couldn't. This is the typical feature of inexperience.
Fourth, when reviewing the exam, you must listen to the questions the teacher talked about in a class before the exam, or the key points planned by the teacher. College exams, what teachers say, are almost everything.