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How to teach yourself advanced mathematics systematically?
Advanced mathematics is a subject that needs systematic study and in-depth understanding. Here are some suggestions to help you learn advanced mathematics systematically:

1. Determine learning objectives: define the contents and objectives of advanced mathematics that you want to learn, such as calculus, linear algebra, probability theory, etc.

2. Find a suitable textbook: Choose an authoritative and systematic advanced mathematics textbook as your study guide. Make sure the content of the textbook is comprehensive and easy to understand, and there are enough examples and exercises for you to practice.

3. Make a study plan: Make a reasonable study plan according to your study goals and time schedule. Break down the learning content into small modules and arrange a certain learning time every day or week.

4. Pay attention to basic knowledge: Advanced mathematics is based on basic mathematics knowledge, so make sure you have a clear understanding of basic mathematics concepts and methods. If necessary, you can review the content of high school mathematics.

5. Do more exercises: Advanced Mathematics is a very practical subject, and it is very important to consolidate and apply what you have learned through a lot of exercises. Try to do all kinds of questions, including multiple-choice questions, fill-in-the-blank questions and solution questions.

6. Ask for help: If you encounter difficulties in your study, don't hesitate to ask for help. You can ask questions to teachers, classmates or online math forums, and they will be happy to help you solve them.

7. Take notes and summarize: It is very important to take notes and summarize in time during the learning process. Record important concepts, formulas and problem-solving methods for easy review and review in the future.

8. Do more application problems: Advanced mathematics is widely used. Trying to do some practical application problems can help you better understand and apply what you have learned.

9. Persistence and feedback: The study of advanced mathematics is a long-term process, which requires persistence and continuous efforts. Conduct regular self-assessment, check your learning progress and understanding, and make adjustments and improvements according to feedback.