Advanced algebra is difficult. Advanced algebra is a basic course for mathematics majors. Its main contents include polynomial, determinant, matrix, linear equations, linear space, linear transformation, Euclidean space, quadratic theory and so on. It has little to do with high school knowledge, and many definitions are brand new, from a higher perspective. Of course, first of all, we should be able to transition from elementary algebra to advanced algebra, master new concepts and learn new methods. Because the content is more abstract than mathematical analysis, the difficulty lies in the understanding of concepts. Advanced mathematics is a mathematics course for other majors, which focuses on calculus and other knowledge, with emphasis on calculation. In fact, correspondingly, this course of mathematics major is called mathematical analysis, and its main contents are limit, continuity, differential, integral, series and so on. Contact high school function knowledge. Giving the definition of limit is the first difficulty and the basis of subsequent study. We should be able to understand its connotation. This is a challenge and a leap in thinking. Careful analysis, using many estimation methods, scaling skills and so on. Different from the emphasis on calculation in advanced mathematics, analysis pays more attention to reasoning and proof. Many seemingly obvious conclusions need to be strictly proved. The key point is to learn all kinds of problem-solving skills on the basis of mastering the definition. There is nothing to say. You must do a lot of questions.