I Am the President of the University

"I'm the president of the university(

The Haiyun campus of Ludao University, also known as Haiyun Park, is only separated from the main campus by a Furong tunnel. The three colleges, the School of Mathematical Sciences, the School of Information Science and Technology, and the School of Software, are located here.

Haiyun Teaching Building 204.

The classroom is very quiet, only the slight sound of chalk rubbing against the blackboard can be heard.

"Suppose X1, X2,...Xn, Xn+1 are taken from a sample of the population X obeying n(μ, σ2), X=12∑xi, Sn2=1n∑(Xi-X)2, find Xn+1Sn√ n-1n+1 distribution."

Professor Li Yong drained the dust off his hands, and smiled in front of the 51 students sitting in danger, "This prescribing problem is not difficult. Which student wants to answer it?"

The mathematics students sitting below raised their heads and looked at the questions on the blackboard. Some were lost in thought, some scratched their heads, and some looked blankly before burying their heads.

emmm...

What is this written?

High school mathematics is different from college mathematics. The former focuses on calculations, while the latter is mostly proof.

Then it’s interesting that the high school teacher said that he would study at university, but the university teacher assumed that high school had said...

Li Yong looked around and noticed the expression of Lu Zhou sitting in the first row. He moved in his heart and asked Lu Zhou, "Will this question be true?"

"Yes." Lu Zhou raised his glasses and nodded.

"Then come up and write down the answering process." Li Yong smiled slightly, just to test Lu Zhou's mathematics.

"Great."

Lu Zhou stood up, walked directly to the podium, picked up the white chalk and began to write.

"X(n+1)~N(μ,σ2), X~N(μ,σ2n), independent of each other, X(n+1)-X~N(0,(n+1)n*σ2).

√[n(n+1)]σ*[X(n+1)-X]~N(0,1).

nS2σ2~χ2(n-1).

These two are independent, the proof is slightly…………

Suppose X~N(0,1), Y~χ^2(n), and X and Y are independent, then T=X√(Yn)~t(n)…………

From the definition of t distribution above, we know ~t(n-1). "

The expressions on the faces of the students in the audience went from dazed to suddenly realized, and Professor Li Yong on the side flashed with joy in his eyes.

After Lu Zhou finished answering the question, he returned to his seat without saying a word.

Professor Li Yong stepped onto the podium with a smile on his face and praised Chen Hao: "Student Lu Zhou's answering process is perfect, even if I did it, it was almost the result."

Just talking about it, Professor Li Yong's smile disappeared, his face was stern, and he said solemnly: "There are 50 students in the class, and none of the students can do it. I don't want to encounter this situation next time!"

Although mathematics is not a strong major at Sagishima University, the whole class of 50 people is not as good as an observer. I really don’t know if I should be grateful for my own perspective or disappointed with the classmates.

The students below all buried their heads, and Lu Zhou, who was sitting in the first row, didn't care about these.

"Why do you want to do this for this question? Let's look at the first step..."

Professor Li Yong's voice continued to reverberate in the classroom. After almost ten minutes, the bell rang after class.

Several of the students in the audience breathed a sigh of relief and smiled, as if this was a life-saving bell.

"This is the end of today's class. Later I will ask the study committee to post this week's homework to the group and collect it before the next class."

Li Yong paused, and kindly reminded, "The homework is included in the usual grades. I hope that the number of students who missed courses this semester can be less."

When the voice fell, the student's resistance immediately sounded below.

"Isn't it! Have homework again?"

"Teacher, it's really going to die!"

"The 1025th day of giving up mathematics!"

"If God can give me a chance to do it again, I will definitely not check the obedience adjustment!!!"

When I was in high school, my teacher always said in my ears that it would be easy for you to go to college. However, the reality is that after going to university, it is still forced!

"The feedback from my classmates is very enthusiastic. It seems that everyone likes the homework I assigned. Next time I can consider adding more topics." Li Yong smiled brilliantly, and when he packed his things, he instructed Lu Zhou on the side. Said, "I'll come to the office with me later."

"Ok."

Lu Zhou didn't ask much, and left the classroom with Professor Li Yong.

After the two left, another round of discussion started in the classroom behind them.

"Who is this classmate who came to observe, do you know him?"

"I don't know, but this classmate is so courageous that he actually came to listen to Old Li's class!"

"I think there is a great **** who feels very powerful. I don't know which college he belongs to."

"Da Maoqiu, I think it's here to pretend to be forced! Who is there to listen to mathematics?"

"+1, it feels like a pretence to commit a crime. I can actually do this question too, but I don't think it is necessary to go on stage to solve it. It is not good to touch too many chalk fingers."

There are also a few in the class who have participated in this year's mathematical modeling competition, and soon a girl exclaimed:

"I know who he is! He seems to be called Lu Zhou, and he is the champion of this year's mathematical modeling contest!"

As soon as these words came out, the classroom was a little quiet.

...

Office of the Dean of Mathematics Department of Ludao University.

Professor Li Yong leaned back and said to Lu Zhou with a smile, "Student Lu Zhou, just sit down, don't be too polite."

"How did you listen to today's class? Is there anything you didn't understand?" Li Yong asked concerned.

"I can understand, thank Professor Li for his concern. It really caused you trouble." Lu Zhou thanked him sincerely.

Lu Zhou still respects Professor Li Yong. I helped him handle the student pass and the library entry and exit certificate. Not only could he come over to listen to the mathematics department's courses, but he could also borrow books from the library. All of these were in his heart.

"It's not worth mentioning how big things are." Li Yong chuckled, and then asked Lu Zhou with great interest, "From the original mathematical model, it can be seen that you are quite talented in mathematics. You should not study by yourself. Fewer courses? Which ones have you learned?"

Lu Zhou didn't even think about it and answered directly: "Mathematical analysis, advanced algebra, analytic geometry, ordinary differential equations, probability theory and mathematical statistics, statistics, abstract algebra, complex functions..."

Lu Zhou reported the names of these courses one by one like the names of the dishes.

Li Yong, who nodded at first, was shocked the more he heard it, and finally waited for Lu Zhou to stop, Li Yong's eyes stared like cows, "Are you all taught by yourself?"

Good guys! This almost covers all digital undergraduate courses!

"Yes, I'm basically finished, but I haven't gotten it through in a few places." Lu Zhou didn't understand why Professor Li Yong asked nonsense, but he answered truthfully.

"Comrade Lu Zhou, you really surprised me." Professor Li Yong shook his head and sighed, as if he had met Lu Zhou for the first time and looked at it from top to bottom.

Then Professor Li Yong asked a few questions, and Lu Zhou answered fluently, and now he also believed that what the other party said was true!

The study of mathematics is like a hierarchical tree of science and technology. One level can’t be learned, and the next level can’t be read. This can’t be installed.

Professor Li Yong then asked: "Where is the progress of self-study now?"

"I just started to learn about differential manifolds~www.novelmtl.com~Differential manifolds..." Li Yong said, then smiled and suggested, "I will push you a few books, "Riemann Geometry" by Do.Carmo, Boothby's "Differential Manifolds and Riemannian Geometry" and A. Zee's "Einstein Gravityina Nutshell", these three books are all good."

"I took it down, thank you Professor Li!" Lu Zhou looked a little eager in his eyes, and after he went back, he looked for the resources of these three books on the Internet.

Perhaps seeing Lu Zhou's plan, Li Yong shook his head and said, "Comrade Lu Zhou, I want to remind you that learning knowledge is the most direct way of learning through books."

With that said, Li Yong got up, took three books from the shelf beside them, and handed them to Lu Zhou.

"Fortunately, I still have these three books here. Take them back and read them slowly. If you don't understand, you can come to my office and ask me."

Lu Zhou pursed his lips, and Professor Li Yong was as enthusiastic as President Chen Hao, and he kept all these affections in his heart.

"Your talent is very good, but the road of mathematics research is not easy. You must guard against arrogance and rashness and concentrate on your research!" Professor Li Yong taught earnestly.

As if thinking of something, Li Yong reminded: "Well, there are also the papers. Don't touch it now. After you have a solid foundation, I will assign you tasks."

Mathematics papers are not easy to write, but Li Yong is very optimistic about Lu Zhou. After a year and a half, he will be ready to write the papers.

"Thesis? This..." Lu Zhou touched his nose, and said with some embarrassment, "Professor Li, when it comes to thesis, I just want to ask you about it."

Li Yong's eyelids twitched, suppressing the shock in his heart, and couldn't help but ask: "Thesis? You don't have a paper in your hand, do you?"

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