Chapter 200 Smooth Manifold - Communication with Fefferman(2/2)
"Although it took a short time to prove Hodge's conjecture, I laid the foundation for more than ten years before that. High-rise buildings are not built in a day. Only by laying the foundation can we pave the way up step by step."
"And today's lesson is about laying the foundation..."
Being a professor for more than ten years in his previous life was not for nothing. His abundant energy allowed him to smoothly change the topic to a formal classroom and start giving lectures.
During the ninety-minute class time, no one left early.
Only a few people couldn't bear it and ran to the toilet a few times while listening to the lecture, but they came back quickly.
The first day of lectures went well. Xu Chuan flipped through books and ppts very quickly. He flipped through nearly half of a hundred-page algebraic geometry textbook.
Of course, this also has something to do with the students this class is for today.
This kind of large course is aimed at a wide range of students. Both undergraduates and graduate students can take it. In order for most people to understand it, the knowledge explained must not be very advanced.
Real top knowledge can only be learned through small classes and following tutors.
However, this kind of large class is not without its merits. In large classes, some of the ideas and ideas taught in lectures are more critical and important than advanced knowledge.
Knowledge can be learned, but ideas and ideas can only come from creation.
In mathematics, listening to a top expert's understanding of a certain basic field can be of great help to students.
Sometimes, a word from these experts can bring great gains and give them a deeper understanding.
As for the basic knowledge in the textbooks, it may be useful for undergraduates, but for graduate students and doctoral students, they have already learned it.
But sometimes, different professors explaining the same knowledge point will bring different insights.
This depends on the professor's own knowledge reserve, teaching ability, and teaching experience.
Most of the students who came to attend the class today actually didn’t have much hope in this aspect.
Even if the professor is a top expert who has proved Hodge's conjecture, it is his first time teaching and he has almost zero teaching experience.
But what is surprising, no one expected, is that this extremely young professor seems to have more than ten years of experience in teaching.
This chapter is not over yet, please click on the next page to continue reading! He can explain things in simple terms and let you understand complex issues and ideas in simple language, which is especially valuable for a professor.
How to let students understand and absorb knowledge and understand problems in the fastest way is often the difference between good tutors and bad tutors.
And this young professor did this even though it was his first time teaching.
It surprised the students in the classroom and some mathematics professors.
...
Ninety minutes passed. Xu Chuan did not delay the class and ended the class on time, leaving three questions as homework.
Princeton's major courses can assign homework, of course, or they don't have to.
This depends on the instructor's wishes.
As for whether to do it or not, it depends on the students' own wishes. Anyway, the professor will not check it.
"A wonderful lecture. I was worried before that you would be nervous. But now it seems that I was overthinking it. You are far better at teaching than I thought."
As get out of class ended, Fefferman, the head of the mathematics department at Princeton, walked out of the corner of the lecture theater, stood in front of Xu Chuan and congratulated him with a smile.
He completely listened to the ninety-minute lecture. Although the basic things were not of much use to him, he saw the teaching ability of this young professor and friend.
Princeton's annual salary of 600,000 yuan is undoubtedly worth keeping him.
Xu Chuan smiled and said, "Thank you."
After complimenting him, the head of the mathematics department did not leave, but continued: "After communicating with you last time, I have some new ideas about smooth pop. I wonder if you have time recently.
I want to communicate with you again."
Xu Chuan said quickly: "I am extremely happy."
Chapter completed!