What is the best learning order of self-taught mathematics undergraduate subjects? For candidates with poor mathematics foundation, in addition to insisting on studying the course seriously, they should also prepare for the exam scientifically.

Suggestions on the learning order of self-taught mathematics undergraduate subjects;

The first step: analytic geometry, mathematical analysis and advanced algebra, and study at the same time;

The second step: elementary number theory, advanced geometry, ordinary differential equation, complex variable function theory, and study at the same time;

The third part: differential geometry (the classical part, that is, curve and surface theory), modern algebra (also called abstract algebra), real variable function theory, and simultaneous learning; The fourth part: point set topology, functional analysis, partial differential equations, global differential geometry, and simultaneous learning.

In addition, some applied mathematics parts have been added, such as probability theory, combinatorial mathematics, operational research and so on. Elementary probability theory can be learned through mathematical analysis, while advanced probability theory needs real variable function, and other requirements are not much. Just learn mathematical analysis.

How to prepare for the exam and take the math test by yourself

Candidates with poor mathematics foundation should not only study the course seriously, but also prepare for the exam scientifically.

First, the majority of candidates should overcome psychological barriers and firmly believe that as long as they are willing to persist and work hard enough, they will pass the exam smoothly.

Second, step by step. Mathematics is an interlocking subject, and any link will affect the whole learning process. In the process of daily study, don't blindly covet more, step by step, and don't easily leave questions and knowledge points that you don't understand or understand deeply.

Third, emphasize understanding. Relevant concepts, theorems and formulas should be memorized on the basis of understanding until they can be skillfully used.

Fourth, keep learning. Candidates must persist in studying, especially the' thoroughly understand' examples, and be familiar with common questions. And don't fall into the misunderstanding of writing difficult problems, thinking that you can really master the knowledge points.

Fifth, draw the key points. In daily study, if you encounter a quick problem-solving method or an error-prone topic, you can mark it with a light stick so that you can see it at a glance when reviewing in the future.

Although it is difficult to teach yourself advanced mathematics, the majority of candidates should not' sell themselves short', but believe that as long as they persist and work hard, they will pass the exam smoothly. In addition, candidates can also sign up for the relevant self-study counseling institutions, seek the guidance and help of professional teachers, so that they can pass the exam as they wish and finally get the graduation certificate.

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