1, take notes. The difficulty of advanced mathematics may be that you can't keep up with the class. At this time, you can choose to preview before class and take notes. This is a very useful method. Find some notes online, preview the textbooks and take notes by yourself. Then when the teacher talks again, you will understand and remember it to a great extent, and with some topic exercises, you basically don't have to go back to review often.
2. Ask questions after class. Qian Qian should not stay in theoretical knowledge, but should do it in practice. Don't look down on your eyes and think you will pass. Do the exercises assigned by the teacher after class. Don't copy the answers. Do calculations repeatedly.
3. Try to sit in the front row. The university is a big classroom with stairs, and there is no fixed position. It is important to learn a good attitude. Sitting in the front row is not only a serious study attitude, but also helps us to be less distracted. With a good learning attitude, there is a good learning spirit and the efficiency of the school can go up.
Learning skills:
1, learning mode. According to the progress and syllabus of most schools, sequence, function limit, continuity and one-dimensional differential were completed in just half a semester; The exam not only covers everything said, but also the teacher is unlikely to get extra points-all exercises, reviews and tests have to be done by himself.
At the same time, the sum of exercises, homework and exams is far less than the proportion of brushing questions in middle school. In this case, students should quickly change their learning methods, find their own practice brushes after class, and regularly check whether they clearly understand the teaching content; The best way is to strike while the iron is hot and do practical exercises at the end of each class.
2. thinking ability. Before each question, make clear the theoretical framework in the book, list important objects and theorems, hide the definition and proof content, and build the system in the book through self-reasoning. No proof is needed, and the sequence of proof steps and other details must be fully realized.
At this time, you will find that "only if you work hard enough can you appear effortless"-the teacher's deduction in class seems to be smooth, but it is much more difficult to do it yourself. In this process, the best way is to find classmates to explain and ask questions to each other until everyone can answer them. After that, doing exercises will be much easier.
3. Specific examples. Many students will find the content of advanced mathematics abstract or difficult to understand. In fact, this is the feeling of learning mathematics: the more powerful, advanced and abstract mathematics is. A good way is to give it a try with many concrete examples. This idea has been repeatedly emphasized by many great mathematicians. Many seemingly abstruse theories are very easy to be accepted and understood with some classic concrete examples.