1. Determine the learning objectives: First, make clear why you want to learn MIT mathematical analysis and what you hope to achieve through learning. This will help you keep your motivation and attention in your study.
2. Choose appropriate teaching materials and resources: MIT Mathematical Analysis course provides a wealth of learning materials, including handouts, video lectures, problem sets and so on. You can choose suitable materials from these resources to study. In addition, you can also refer to other classic mathematical analysis textbooks, such as Calculus Course (Thomas) and Real Variable Function and Functional Analysis (Yang).
3. Make a study plan: In order to ensure the systematic and effective study, you need to make a detailed study plan. The plan should include study time, review time and the number of exercises in each chapter. When making a plan, you must leave enough time for each topic in order to deeply understand and master the concepts.
4. Pay attention to the basic knowledge: before learning MIT mathematical analysis, make sure that you have mastered the basic knowledge of advanced mathematics such as limit, derivative and integral. This knowledge is the basis of understanding the concept of mathematical analysis in MIT.
5. Actively participate in class discussion and online discussion: MIT's mathematical analysis course usually has many online discussion sessions, so you can actively participate in these discussions, interact with other students and ask questions. This will help you better understand the concept and improve your thinking ability.
6. Do more exercises: test your learning results by doing exercises and deepen your understanding of concepts. You can start with the exercises in the textbook and then gradually increase the difficulty. Don't be afraid to ask for help when you are in trouble. You can ask teachers, classmates or online communities.
7. Review regularly: In order to consolidate what you have learned, you need to review regularly. You can divide what you have learned into several parts, and each part will arrange a certain time for review. In the review process, we should focus on concepts that we are unfamiliar with or easy to forget.
8. Patience: There may be many difficulties in learning MIT mathematical analysis, but be patient and believe that you can overcome these difficulties. In the process of learning, we should learn to adjust our mentality and maintain a positive learning attitude.
9. Apply what you have learned: Applying what you have learned to practical problems can help you better understand and master concepts. You can try to solve some problems related to mathematical analysis, or participate in some mathematical competitions to improve your practical application ability.
10. Attend seminars and lectures: If you have the opportunity, you can attend some seminars and lectures on mathematical analysis at MIT to exchange academic views with other scholars and broaden your horizons.