From University Lecturer to Chief Academician

"In the research and development task of the non-homogeneous equation, the inspiration value has increased by 221 points? Even if it is D-level difficulty, it is too high!"

"For the task of partial differential equations, the inspiration value has also increased by nine points?"

"Why is it so high!"

Wang Hao looked at the value displayed by the system while thinking carefully, because with the experience of the previous week, he can be sure that more students attended the lecture was only one of the reasons.

Three classes of physics majors took classes together, and only the task of partial differential equations increased the inspiration value by four or two points.

Then the reason is very straightforward--

Content relevance!

"The increase in inspiration value is directly related to the content of the lecture!"

"Unhomogeneous problems at the undergraduate level only explain one-dimensional non-homogeneous equations. The difficulty is relatively simple, but non-homogeneous equations are a type of partial differential equations. Studying the solution method of equations can also be regarded as' Generic solution of specific partial differential equations'."

"Task two is the difficulty."

"The difficulty of research related to one-dimensional non-homogeneous equations is only D-level, which is lower than Fourier transform. It is understandable to get a lot of inspiration points!"

Of course, there is another possibility that some students find one or several correct research and development directions by diverging their thinking during class.

Research, inspiration is key.

No amount of hard work can compare to a flash of inspiration. It is normal in scientific research. Students don't know that they are diverging their thinking, and they don't know that what they think of is the correct research and development direction, but the system can judge and give feedback.

There is no way to judge this.

Wang Hao went to the restaurant for lunch, and returned to the office immediately after filling his stomach.

Several people in the office are there.

Yan Jing asked, "Wang Hao, how was the class?" She was asking about the reported matter, and everyone in the office knew about it.

Wang Haodao, "Two people from the teaching administration went to the office, but they didn't seem to have done anything, and they left after class."

"That's good."

Zhu Ping followed, "Don't worry. Academic affairs generally don't target lecturers. It's okay to be strict with students. But students are not easy to manage now. If there is any problem, some will simply post it online."

"I sometimes worry about lectures."

Zhang Zhiqiang continued, "I was afraid that something would go wrong when I was speaking, and I would make a fool of myself. It was nothing at the time, and it would be embarrassing if it was posted on the Internet..."

The office discussed this issue.

Wang Hao also said, "I saw someone holding a mobile phone in class, and I directly called the name and deducted the usual points, and I couldn't even touch it!"

"Then you are amazing!"

"I can't learn it!" Yan Jing shook her head and said, "Students are too difficult to manage. To be honest, I still think I am a student!"

Zhu Ping said with a smile, "You are indeed small, a little cute."

"Haha~~"

Several people laughed along.

Wang Hao chatted with other people in the office, and found that Zheng Yaojun sent something, which was the content of the "Differential Equations" class, including some basics in the textbook, as well as several topics explained in the class, and a few more lectures. Post-work question.

Yanyi's "Differential Equations" is a very important course for science majors such as mathematics and physics.

There is "Partial Differential Equations" for science majors at the undergraduate level. Most of the content is just basic knowledge, such as 'non-homogeneous', 'Fourier transform', 'high-dimensional problems', etc. For slightly more complicated content, you only need to do basic knowledge. understanding is enough.

Graduate level "Differential Equations", the above content becomes the basis.

"Mathematical Analysis", "Advanced Algebra", "Analytic Geometry", and "Ordinary Differential Equations" are all prerequisite subjects for graduate level "Differential Equations".

Because it is the second half of the semester, the "Differential Equations" course has also reached the later stage, and the course content has reached the most complicated stage. The two lessons and four class hours he sent mainly include two knowledge points——

One is an image of the solution to the system of differential equations;

The other is to solve non-homogeneous systems of linear equations.

When Wang Hao saw the following knowledge points, he couldn't help showing a smile. He was explaining 'one-dimensional non-homogeneous equations', and he would bring a section of 'Solving non-homogeneous linear equations' from Yanyi, which would definitely bring a lot of inspiration value.

half past one.

There were a few teachers in the office going to class, and it suddenly became a lot quieter.

Wang Hao officially entered the working state. Spend a 'teaching coin' to enter the focus mode, and then open the task module.

【Task 2】

[R\u0026D project name: In-depth research on solving one-dimensional non-homogeneous equations (difficulty: D.)]

[Inspiration value: 243. 】

(Hint: You can use 100 inspiration points to assist in obtaining R\u0026D-related inspiration and knowledge.)

"use!"

[Task 2, inspiration value -100. 】

Suddenly, a complete and clear context was formed in my mind about the non-homogeneous equation related inspiration.

The passage was opened.

"Higher-order differential equations can be summarized, and several types can be transformed into homogeneous equations for solution..."

"yes!"

The consumption of inspiration points is not to increase knowledge for nothing, but to straighten out the existing knowledge and ideas in the mind.

It was as if inspiration had been activated!

Wang Hao immediately knew what to do. He immediately conducted specific research, listing several types of higher-order differential equations that he thought of that could be transformed into homogeneous equations, and then transformed them one by one in a specific way.

Through continuous transformation and calculation, find out their commonalities and summarize them.

The research is over soon.

Because there is already relevant knowledge in my mind, and the inspiration is activated to know the direction, it is almost just writing.

"This research...is really D-level!"

Looking at the content summarized on the paper, Wang Hao couldn't help shaking his head. In comparison, the level of research and development is similar to the research he remembered when he was a PhD student.

Papers, of course, can be written.

Because it only summarizes the solution of several equations, the results can be said to be very small, and only a small paper can be written.

Then, he consumed another hundred inspiration points.

The inspiration direction obtained this time is related to complex non-homogeneous p-Kirchhoff type elliptic equations, which is to study a kind of non-homogeneous p-Kirchhoff type elliptic equations and prove the existence of multiple solutions.

Still, it's a small study.

"It seems that D-class is at this level."

Wang Hao was a little helpless, but after thinking about it carefully, he was not completely sure, "Level D, the difficulty is low, and the results are generally very small. But it is also possible that there will be some application directions, or problems that others have not thought about. Great results."

Difficulty does not mean the size of the achievement.

It can only be said that for low-difficulty research, most of the results will be relatively small, and there may be large results.

Of course, in only one class, two research directions can be thought of and corresponding results obtained, and the speed is quite amazing.

Although the result is a little tasteless, putting it on other people can also add a lot to the research and development experience.

...

Wang Hao went back very early.

After eating in the cafeteria after five o'clock, he half-exercised, half-walked around, and then went home directly.

He listened to music while writing papers.

The door rang.

Wang Hao opened the door with doubts, and found that it was the two girls at the opposite door. He said with some doubts, "You guys, this is..."

Li Qian just looked at him.

Gu Youyou held a book in her hand, stared at his eyes seriously, and said, "Can you help us solve a problem?"

"Problem solving? What problem?"

"Differential equations."

"Okay, please come in!" Wang Hao stepped aside, let the two girls come in and sit on the sofa, and then went to get two bottles of drinks as a treat.

Gu Youyou handed over a blank piece of paper, copied the title on the white paper, and stared seriously at Wang Hao's eyes the whole time.

Standing by the side, Li Qian also had the same look in her eyes.

Wang Hao felt that something was wrong when he was seen by two girls. If he didn't have a narcissistic plot, he would definitely think that he was liked by a girl...

wrong!

It's not like, it's suspicion! ?

"It's like being stared at by the police, like being a prisoner?" Wang Hao thought strangely.

He simply didn't think about it anymore, took a look at the white paper, "Linear algebra to solve differential equations?"

"This topic...is simple!"

Wang Hao knew what to do at a glance. He explained while writing the answer, "First of all, we need to re-express the equation system with a matrix, and change it into this..."

"Then use a matrix to represent the general solution, we can assume the form of the solution as..."

"Then explain the introduction into the equation system, simplification, and find the eigenvalues."

"Look at this equation. Substitute λ1 and λ2 into the equation to find the eigenvectors..."

It took Wang Hao almost five minutes to speak in one breath.

Among them, the total time spent on solving the problems is less than two minutes, as if you are writing the answers directly, and the rest of the time is spent on explanations.

Both Gu Youyou and Li Qian kept nodding their heads. They seemed to be thinking about it, but they didn't show any surprise like last time.

The two looked at each other with inexplicable expressions on their faces.

When Wang Hao finished talking about the topic, Gu Youyou and Li Qian got up and wanted to go back. Wang Hao suddenly said, "You guys don't go. I have something to ask you."

The two sat down again.

Wang Hao paid attention to their expressions and behaviors, and always felt that there was something weird, but the woman's mind was too complicated, so he asked without pursuing it, "Your differential equations, you just learned linear algebra to solve differential equations, right?" ?”

"right?"

Wang Hao began to ask serious questions, "How are you doing? Do you think it's difficult? I don't think your homework is difficult. Do you feel strenuous when you do it?"

"What about the other students? How difficult is the study?"

"Have you previewed the content of the next class? The next class should be images of solutions to differential equations..."

He asked several questions in succession.

Gu Youyou and Li Qian answered one by one with doubts.

Wang Hao almost understood the progress, thanked the two, and let them go back together.

...

opposite door.

Gu Youyou and Li Qian quickly rushed into the room and closed the door.

Li Qian couldn't help but said, "Now I can be sure, he really studied our homework questions, he knew it at a glance, wrote the answer directly, and spoke very fluently. I heard the teacher explain that question once, and I still don't understand it. I understand too well!"

"But, what did he mean in the end? Why did he care about the progress of the course? He also asked other students about the difficulty..."

"Why are you asking these questions!"

She scratched her scalp and couldn't figure it out.

Gu Youyou leaned halfway on the shoe cabinet, with her chin resting on her thumb and index finger. Like Li Qian, she thought that the other party must know the homework, otherwise she couldn't explain it and write down the answer directly.

That's a graduate level math problem.

Let alone a middle school teacher, you have to think carefully about being a university teacher, right?

She thought about it and analyzed, "Now I can be sure. The content of the question... Could it be that he wants to study with us and keep up with the progress? In this way, he will do every question, so there is no need to ask Mr. Zheng." ?”

"Look, he also asked about the difficulty of the course, because he was afraid that it would be too difficult to keep up with?"

"this……"

Li Qian patted her head vigorously, frowned and said, "Your analysis seems to make sense. But, I always feel that something is weird..."

"It's too troublesome! Men, especially handsome guys, are too difficult to understand. They are completely different from me!"

"Let's go to bed earlier, or I'll be hungry again soon~~"

"Tomorrow's first class is differential equations. I have a huge headache. I heard that Teacher Zheng is on a business trip. I don't know who will take over the class..."