At NTU, the largest lecture theater in the teaching building is packed with people.
Although there is still more than half an hour before the actual class starts, the place is already full of people early on.
"Damn it, why are there so many people?"
Wang Hai, who dared to come to the class with his books in his arms, looked at the crowded classroom and couldn't help but swallow his saliva.
He had come over half an hour in advance to grab a seat, but not to mention the seats, even the aisles between the seats were almost full.
Next to me, my roommate holding a book complained: "Are there really so many people in the NTU Mathematics Department?"
"I told you not to listen earlier, but now it's okay. Stop being stupid and find a seat quickly. If it's later, you won't be able to sit in the aisle." Another roommate shouted and walked towards the still empty aisle. He didn't mind.
It was dirty, so I sat down immediately.
Seeing this, the other two roommates also ran over and crowded together.
Meowing, just in the time it took to say a word, several more students walked into the classroom holding books. If they were to be late, they wouldn't even be able to sit in the aisle.
.......
Half an hour was not a long time. Just as these students were discussing whether Xu Chuan would come to teach them in person, Xu Chuan walked into the lecture theater with a textbook.
Seeing the expectant figure walking onto the podium, the discussion in the classroom became more and more intense, and some people even shouted out accidentally.
"Academician Xu! You are actually here!"
Hearing this, Xu Chuan raised his eyebrows and said with a smile: "What, you're not welcome to give me lessons? Then I'll go?"
As soon as these words came out, the student who called him out immediately blushed.
On the other hand, other students started to boo.
"No no!"
"That's definitely welcome."
"Don't go!"
"love me!"
Hearing these students shouting more and more outrageously, Xu Chuan quickly said: "Ahem, okay, everyone should be quiet and get ready for class."
Hearing this, the lecture hall instantly became quiet.
Xu Chuan cleared his throat and said: "The content of today's class is "Line Generation Analysis". It has been previewed before. I hope everyone has previewed it and can keep up with me in class."
"Linear algebra is a branch of algebra that mainly deals with linear relationship problems. Although it only formed an independent branch of mathematics in the 20th century, its history is very long. For example, the famous 'chicken and rabbit in the same cage' problem actually
The above is a problem of solving a simple system of linear equations."
"A relatively complete description has been given in the ancient Chinese mathematical work "Nine Chapters of Arithmetic and Equations". The method described in it is essentially equivalent to the modern elementary transformation of the rows of the augmented matrix of the system of equations.
The method of eliminating unknown quantities..."
"In the following classes, I will break away from some things in the textbook and tell you how to understand and study this course through the axiomatic method of abstracting specific concepts, rigorous logical deduction, and clever induction and synthesis.
"
"Of course, since I am separated from the textbook, I hope you can take out your notebooks and take notes while I am talking."
"Otherwise, I'm afraid you will be confused when you go back..."
Hearing this sentence, some senior students and even graduate students who were sitting in the classroom and had experienced this class before, swallowed nervously.
pill!
A good pill!
When this person taught in the past, he often read half the book in one class. At that time, it was difficult for them to keep up with the pace even after previewing.
Now it is directly out of the book, GG, who will save it!
...
Xu Chuan didn't care about the expressions on the faces of these students. It was not a problem for him to attend class without teaching materials.
With his mathematical ability, he has already surpassed the person who wrote the textbook in his hand.
The only thing you need to pay attention to is that this is a big class. Don't go beyond what these college students can understand.
And in today's class, he wanted to try something else to see if he could bring more help to these students.
Sitting at the back of the lecture theater, Chen Zhengping, Director Zhou Hai of the School of Mathematics and Vice President Rong Zhizhuan sat together, listening in a low-key manner to Xu Chuan's first class after returning.
Listening to Xu Chuan's lecture, Zhou Hai suddenly felt a little emotional: "As expected of Academician Xu, he has such a profound understanding of the online generation. I never thought that panel clustering and H-matrix can be used to calculate matrices.
vector."
"From this aspect, the efficiency of solving the corresponding system of algebraic equations can be greatly improved. In an ordinary university class, you can actually hear about how to optimize the method of solving a system of linear algebraic equations."
Chen Zhengping was a little confused about Zhou Hai's emotion. He was not a scholar majoring in mathematics and did not know much about this aspect.
On the other hand, Rong Zhizhuan, who had been promoted from the dean of the School of Mathematics to the vice president of NTU, nodded in agreement and said: "The main difficulty in solving large-scale linear equations lies in the workload. How to reduce the workload is a matter of computational mathematics.
One of the biggest problems out there.”
"I don't know if he came up with this method on the spur of the moment or if he had already completed the idea. If he thought of it on the fly, it would be too scary."
After a pause, he continued: "But for these students, this path may not be so suitable. Except for some senior students, it may be difficult for other undergraduates to understand this method. What he said is a bit in-depth.
Already."
Zhou Hai smiled and shook his head, saying: "If you talk about this suddenly and directly, it is indeed a little bit."
"But he gradually goes from the shallower to the deeper. If they listen carefully, even if they don't understand, it can still bring a seed to them."
"As for whether this seed will take root and sprout in the future, I don't know."
"but."
"If he can continue to teach in this way for a long time, I am sure that the glory of NTU's mathematics department will be seen sooner or later."
This chapter is not over, please click on the next page to continue reading! Rong Zhizhuan said with a smile: "Isn't the current NTU Mathematics Department brilliant enough? Fields Medal winner! Two major millennium problems! Other colleges do not have this honor!
"
.......
One class lasts ninety minutes.
This time, Xu Chuan didn't look through the textbook very much, or in other words, he only covered about one-fifth of the content of the textbook.
However, his temporarily modified teaching method in class clearly inspired many students who attended the class.
Although most of these students may not be able to absorb all the knowledge on the spot in class, as Professor Zhou Hai said, this class planted a seed in their hearts about the field of 'linear algebra'.
The rest is for these students to slowly absorb knowledge, water and fertilize, so that the seeds can take root, germinate, and grow up slowly.
Sitting in the front row of the classroom, a junior student who came over nearly two hours early to occupy a seat looked at a notebook filled with many pages, with a thoughtful expression on his face. He didn't know what he was thinking.
something.
Next to him, another graduate student with a Mediterranean-like hair said with emotion: "As expected of Academician Xu, the level of his lectures is much better than that of the professors in our college. No, it should be said that there is no comparison between the two."
Hearing this sigh, the junior student sitting next to him came to his senses. Although he did not know the man next to him, he proudly replied: "That's natural. Academician Xu is a Fields Medal winner!"
After a slight pause, he seemed to reply, but also said to himself: "But I always feel that Academician Xu's teaching method today seems to have changed compared to before."
Hearing this, the graduate student next to him asked curiously: "What was Academician Xu's class like before?"
After thinking about it, the junior student replied: "I can cover half of the textbook in one class, turning through dozens or hundreds of pages, covering several different knowledge points."
"Half a textbook in one class? My dear, is this an exaggeration? I turned through almost thirty pages today, and I feel a lot." Hearing this, the graduate student was a little confused.
"Why, you haven't heard of it? From the look of you, you should be a graduate student, right? You shouldn't be." The junior student asked with a smile.
The graduate student with M-shaped hair loss shook his head and said, "I'm not from Nanjing University. I took the subway here from Hohai University after hearing the news."
Hearing this, the junior student nodded calmly, not surprised at all.
Just two subway stops away, you can listen to a lecture from this big shot. Is it worth it?
...
After looking at the clock hanging on the wall, Xu Chuan threw the chalk in his hand into the chalk box, glanced at the students in the lecture theater, and said, "That's the end of today's class."
"There are still about ten minutes before the end of get out of class. If there is anything you don't understand, you can ask questions now."
Hearing this, arms immediately rose in the classroom.
Xu Chuan clicked on one randomly, and then began to answer questions. After a while, he answered several questions.
At this moment, a girl stood up, her eyes gleaming with excitement, and asked: "Professor Xu, do you have a girlfriend? Will you find a girlfriend?"
Hearing this outrageous question, Xu Chuan coughed and said, "This kind of privacy issue is beyond the scope of the answer."
After rejecting the girl's question, he looked at the girl sitting down with a regretful expression strangely. If he didn't find a girlfriend, why should he look for a boyfriend?
Hey, this kind of thing is scary to think about.
After throwing away the thoughts in his mind, Xu Chuan came back to his senses, looked at the time, and continued: "There is still some time, are there any classmates who have questions."
"Professor, I heard that when you were solving NS equations, you suddenly had inspiration in class. I would like to ask if this class has brought you any inspiration..."
After talking a lot, he may have realized that he was a bit verbose. The chubby little boy who raised his hand quickly cut off his words and asked the final question.
"Ahem, the most important thing is, I want to ask, which millennium problem will you attack next?"
The corners of Xu Chuan's mouth moved, but he stopped talking.
Why do two people think that he will take action on the Millennium Problem next?
After thinking for a while, he said: "I don't have any ideas at the moment. As for the future, I might try to study the existence and quality gap of Yang Mills?"
"Like the NS equation, it is also a difficult problem in the field of mathematical physics. I am quite interested in this aspect."
Seeing the gradually excited eyes in the audience, Xu Chuan quickly added:
"Of course, I'm just interested and want to study it."
