According to the syllabus of "Mathematical Analysis", we should first talk about the limits of sequences and function, and then enter the fields of Leibniz and Lobida, that is, derivatives and differentials.

Afterwards, Taylor and Riemann will appear. Taylor's formula and Riemann points will run through the entire score and even the entire career of a mathematician.

The above is the teaching content of the number i.

Under normal circumstances, this is the case.

It is obvious that Professor Lu did not follow the normal routine.

The concepts of double integral, triple integral, n-fold integral, as well as the second type of curved area division, external differential form integral on directional manifolds, etc. are the teaching contents of digital fraction ii.

In short, Professor Lu did not copy the teaching syllabus of the Ministry of Education. He had his own teaching plan. Yan University was not under the jurisdiction of the Ministry of Education, and this university was directly under the jurisdiction of the central government.

During the thirty years of research and teaching, Professor Lu has found a set of effective teaching systems. He will not do anything randomly. He is a full professor at Yan University and has won awards.

In Shen Qi's opinion, Professor Lu is at least at level 8 or above in mathematics. How could such a mathematical elite do whatever he wants?

Shen Qi likes Professor Lu's teaching style, right, teachers and students should interact deeply, and violent collisions will inevitably produce extraordinary reactions, and the exchange that reaches the soul directly creates an explosion of academic achievements.

Professor Lu uses the title as a guide and uses the question to help students better understand the calculation methods, theoretical concepts and related techniques of numerical scores.

The first question was the calculation and integral. The two class leaders of the Department of Mathematics and Science and Engineering Computing showed their respective strengths, and Professor Lu expressed his approval.

Professor Lu continued his teaching style, and he also asked questions and calculated the limit:

lim[x→0](e^x+e^2x+…e^nx)1/x/n

"The first question is the answers completed by the Department of Mathematics, and the Department of Science and Engineering Computing has supplemented it, providing new algorithms and ideas. For the second question, please send a staff member to the stage to find the limits." Professor Lu said.

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

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

"I have no idea, he comes, he comes." Other students recommended that class monitor Shao Tiantian go on stage to bring honor to the class and add color to the department.

"Okay, Shao Tiantian is Shao Tiantian, come." Professor Lu didn't choose.

Shao Tiantian went on stage and completed the calculation in three or five steps. He smiled and looked down at the audience, confident.

"For Shao Tiantian's limit calculation, please comment on students from the Department of Mathematics." 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. Everyone in their class sat in a bunch, except for Ou Ye and Zhou Yu'an in the back row.

"Let me talk first." Shen Qi pointed out, "Shao Tiantian's calculation is completely correct, and my answer is the same as him."

"Oh." Professor Lu nodded, looking forward to Shen Qi continuing to analyze and comment.

Shen Qi: "I'm done."

Professor Lu: "It's gone?"

Shen Qi explained: "Just calculate the answers in such a limit. The process is routine. I believe that all students can understand it by looking at it, so I won't talk too much."

"I don't even bother to give comments. Do you look down on our class monitor every day?" Students from the Department of Science and Engineering Computing complained to Shen Qi.

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

Shao Tiantian stepped down and laughed when he passed by Shen Qi's seat: "Haha."

Shen Qi laughed again: "Hahaha." One more than you, suppressing you in momentum.

The third question is the calculation limit and the double limit.

This time it was the turn of the mathematics department to send a member. Shen Qi turned to Zhou Yuan and conveyed a meaning to Zhou Yuan with his eyes: Zhou Yuan, you are on this question. It is not appropriate for me to solve the problem with such a simple limit.

Zhou Yu understood it with peace of mind, and he came on stage to solve this double limit problem.

According to convention, before Zhou Yuan goes down, he should analyze his ideas and fully share his successful experience with the students of the School of Mathematics. Everyone should communicate and discuss together. If there is any, they should be corrected and encouraged, and make progress together and collectively sublimate.

Zhou Yuan and Shen Qi were in the same dormitory. In their daily study and life, Zhou Yuan also kept his mind. He secretly learned some mathematical skills from Shen Qi and analyzed it eloquently: "Dear students, do you know that finding the double limit is much more difficult than finding the limit of a one-central function. The two are simply a difference."

"Why Nirvana? Because the definition domain of a unary function is a set of points on the real axis, you only need to consider the situation of approaching from both left and right directions."

"And the domain of a binary function is the set of points on the coordinate plane. In other words, to find the double limit, you must consider the approach route from any direction..."

Professor Lu was angry: "Zhou Yu'an, let's talk about the key points! Everyone's time is precious, don't memorize textbooks here!"

"Okay, okay, don't worry, Professor Lu, you'll get to the key areas right away." Zhou Yuan was not panicked or impatient. He continued slowly: "Students, do you know how many ways to calculate the double limit? I am not good at learning skills, and I have only mastered five calculation methods. The first one is to use the definition to calculate the double limit, which is the easiest and most prone to errors."

"The second type is to calculate the double limit using the triangular element conversion method..."

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

"The fourth type is to use the idea of ​​the important limit of the monistic function to find the double limit. Here I want to focus on explaining this fourth algorithm, which is also my core algorithm, and is used to solve the double limit problem of the blackboard."

"First of all, what I want to explain is that the idea of ​​using the important limits of the monistic function to seek the double limit, and its core method is..."

biu!

Professor Lu slapped the wall with a palm, shaking the blackboard: "Zhou Yu'an, I'll give you another 20 seconds! The double limit algorithm can be clearly interpreted in three sentences. You guys, just talk about it for a whole five minutes! Zhou Yu'an, what do you belong to?"

Alas, Shen Qi looked out the window speechlessly and sighed. Zhou Yuan was too stubborn. He originally calculated the second limit and calculated it was quite 6. This method was taught by me. He showed off well and had already obtained my true teachings of seven or eight points. At this time, the most free and easy way was to use one sentence to explain the core idea, and then step down with awesomeness, which could be considered as a way to accumulate some style.

But Zhou Yuan was fine, he was like a woman, and he wasted all his efforts. He wasted no matter how stupid he was, and he was even a little bit lol. Most women in this world are not as nonsense as you, Zhou Dayu... Shen Qi clenched his fists and held his cheeks, and could not help but look out at the air outside the window.

At the same time, Ou Ye in the back row made a chin-holding move similar to Shen Qi. Alas, she sighed, not sure what her inner activities were.
Chapter completed!