I Just Want to Be a Quiet Top Student

According to the syllabus of "Mathematical Analysis", it should first talk about the limit of sequence and function, and then enter the field of Leibniz and L'Hopital, that is, derivative and differential.

Afterwards, Taylor and Riemann came on the stage, and the Taylor formula and Riemann integral will run through the whole score and even the entire career of mathematicians.

The above is the teaching content of Score I.

Normally, this is the case.

Obviously, Professor Lu did not follow the normal routine.

The calculation of double integrals, triple integrals, and n-fold integrals, as well as concepts such as surface integrals of the second kind and integrals of external differential forms on oriented manifolds, are the teaching content of Scores II.

All in all, Professor Lu did not copy the teaching syllabus of the Ministry of Education, he has his own teaching plan, and Yanda is not under the management of the Ministry of Education, this university is directly under the management of the central government.

During thirty years of subject research and teaching, Professor Lu has explored an effective teaching system, he will not mess around, he is a full professor of Yanda University, and has won an award.

From Shen Qi's point of view, Professor Lu is at least level 8 or above in mathematics. How could such a mathematics elite mess around?

Shen Qi likes Professor Lu's teaching style. That's right. Between teachers and students, and between classmates, there should be in-depth interactions. Violent collisions will definitely produce extraordinary reactions, and direct exchanges of souls brew the explosion of academic achievements.

Professor Lu used the topic as an introduction to help students better understand the calculation methods, theoretical concepts, and related skills of fractions.

The first question was calculated with heavy integrals. The two monitors from the Department of Mathematics and the Department of Science and Engineering Computing showed their respective strengths, which Professor Lu recognized.

Professor Lu continued his teaching style, and he asked another question, calculating the limit:

lim[x→0](e^x+e^2x+...e^nx )1/x/n

"The first question is answered by the Department of Mathematics, and the Department of Science and Engineering Computing has supplemented it and provided new algorithms and ideas. Then for the second question, please send someone from the Department of Science and Engineering Computing to come to the stage to find the limit." Professor Lu said .

"I'll do it." Shao Tiantian raised his hand.

"It's you Shao Tiantian again? The other students in the Department of Science and Engineering Computing have no idea?" Professor Lu asked.

"No idea, no idea, he comes and he comes." Other students recommended Shao Tiantian, the monitor, to come on stage to win glory for the class and add luster to the department.

"Okay, Shao Tiantian is Shao Tiantian, you come." Professor Lu had no choice.

Shao Tiantian came to the stage, finished the calculation with three strokes, five divisions, and two. He smiled and looked down the stage, confident.

"As for Shao Tiantian's extreme calculation, please comment on it from the mathematics department." Professor Lu looked at Shen Qi's direction.

The Department of Mathematics is closely united around the center with Comrade Shen Qi as the core, and everyone in his class sits in one pile, except for Ouye and Zhou Yu'an in the back row.

"Let me talk first." Shen Qi raised his head, "Shao Tiantian's calculation is completely correct, and my answer is the same as his."

"Oh." Professor Lu nodded, expecting Shen Qi to continue analyzing and commenting.

Shen Qi: "I'm done."

Professor Lu: "No more?"

Shen Qi explained: "For things like the limit, just calculate the answer. The process is all routine. I believe that all students can understand it after reading it, so I won't repeat myself."

"You don't even bother to give comments, do you look down on our Tian Tian class monitor?" The students of the Department of Science and Engineering Computing complained to Shen Qi quite a bit.

"That's it, then Shao Tiantian, you go down, your calculation is correct." Professor Lu respected Shen Qi's answer.

Shao Tian stepped off the stage, and laughed when he passed by Shen Qi's seat: "Hehe."

Shen Qi smiled back: "Hehehe." One more than you, suppressing you in aura.

The third question is again the calculation limit, the double limit.

This time it was the Mathematics Department's turn to send someone, Shen Qi turned to Zhou Yu'an, and he conveyed a meaning to Zhou Yu'an with his eyes: Zhou Yu'an, you are on this question, the limit is so simple, it is not appropriate for me to come forward to solve it.

Zhou Yuan understood, and he came to the stage to solve this double limit problem.

According to the usual practice, before Zhou Yuan went down, he had to analyze his thinking, and fully share his successful experience with the majority of students in the School of Mathematical Sciences. Everyone communicated and discussed together, and if there is something to change, then there is no encouragement, so as to make progress together and sublimate collectively.

Zhou Yu'an shares a dormitory with Shen Qi, and in his daily study and life, Zhou Yu'an also pays attention to it. He secretly learned some math skills from Shen Qi, and explained eloquently: "Dear students, do you know, ask Erzhong The limit is much more difficult than finding the limit of a function of one variable, and the two are simply the difference."

"Why Nirvana? Because the definition domain of a one-variable function is the point set on the real axis, to find the limit, we only need to consider the approach from the left and right directions."

"And the definition domain of the binary function is the point set on the coordinate plane. In other words, the approach route from any direction must be considered in order to find the double limit..."

Professor Lu was angry: "Zhou Yu'an, get to the point! Everyone's time is precious, don't recite textbooks for me here!"

"Okay, okay, don't worry about Professor Lu, we'll be at the key point soon." Zhou Yu'an didn't panic or get impatient, he continued in a calm manner, "Students, do you know how many ways there are to calculate the double limit? I am not good at learning, so far I have only mastered five calculation methods, the first one is to use the definition to calculate the double limit, which is the simplest and most error-prone."

"The second method is to use the triangular substitution method to calculate the double limit..."

"The third is to use the continuity of the function to calculate the double limit..."

"The fourth is to use the idea of ​​​​the important limit of a one-variable function to find the double limit. Here I will focus on explaining this fourth algorithm. This is also my core algorithm. It is used in the solution of the double limit problem on the blackboard. "

"First of all, what I want to explain is that using the idea of ​​the important limit of a function of one variable to find the double limit, its core essentials are..."

Biu!

Professor Lu slapped his palm on the wall, shaking the blackboard: "Zhou Yu'an, I'll give you another 20 seconds! The double-limit algorithm can be clearly explained in three sentences, so you're going to be too long-winded!" Five full minutes! Zhou Yu'an, what do you belong to?"

Hey, Shen Qi looked out the window speechlessly and sighed. Zhou Yu'an is too lazy. Originally, he was able to calculate the double limit of 6. I taught him this method. He is very good at showing, and he has already passed me seven or eight points. The most free and easy way at this time is to use a sentence Explain the core idea in words, and then step down in a coquettish way, which can be regarded as a bit of a force.

But Zhou Yu'an is fine, Momo Haw is like a bitch, all previous efforts have been wasted, brother, it's not at all forceful, even a little LOW, most women in this world don't have as much nonsense as you Zhou Dakou... Shen Qi clenched his fists and rested his chin, helplessly looking at the air outside the window.

At the same time, Ouye in the back row made a gesture similar to that of Shen Qi, hey, she also sighed, not knowing what was going on in her heart.