When the teacher is teaching the textbook content, students will inevitably ask questions of one kind or another. Some problems can be solved if we don't understand the knowledge we have learned enough. And some questions are brand-new after thinking about what they have learned, which are probably good topics for graduation thesis.
In the actual teaching process, students will ask many similar questions about what they have learned. As a teacher, we should be good at grasping the value of these problems and recording them. Many of these problems come from students' intuitive thinking, which often includes flashes of inspiration. Careful consideration of these problems is some good materials for the topic selection of graduation thesis.
Two, combined with the content of teaching materials, starting with important theoretical issues.
International students are full of energy and active in thinking, and sometimes they will consider giving them some important theoretical questions or mathematical conjectures to think about. Of course, we don't expect them to solve a big problem or a big guess, but it's not a bad thing to let them know how difficult it is to solve a big problem, which requires great courage and extensive study. If the tutor combines the actual teaching content with major theoretical issues, plus the potential of students, it is possible to form a good graduation thesis.
Thirdly, combining with the content of the textbook, the topic is selected from the practical application.
The mathematical problems raised in real life are basically good questions. Obviously, new theoretical methods or new calculation skills are needed to solve these problems. For example, students intend to choose computational optimization as their graduation thesis, and it is obviously better to choose problems closely related to practical application than to choose pure theoretical optimization problems. After all, the calculation should be combined with the actual situation.