"The R&D task of non-homogeneous equations has increased the inspiration value by 221 points? Even if it's D-level difficulty, it's 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 values displayed by the system and thought carefully, because with the experience of the previous week, it is certain that more students are only one of the reasons.

The three classes of physics majors were taught together, and the inspiration value of the task of partial differential equations was only increased by four or two points.

So the reason is straightforward --

Content relevance!

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

"The non-homogeneous problem at the undergraduate level is only to explain the one-dimensional non-homogeneous equation, and the difficulty is relatively simple, but the non-homogeneous equation is a kind of partial differential equation, and the method of solving the study equation can also be regarded as 'the common solution of specific partial differential equations'."

"Task two, that's the difficulty."

"The difficulty of one-dimensional non-homogeneous equations is only D-level, which is lower than the Fourier transform, and it is understandable to get a lot of inspiration!"

Of course, there is also a possibility that some students diverge their thinking in the course of class and find one or several correct R&D directions.

Research, inspiration is key.

No matter how much effort is not as good as a flash of inspiration, it is a normal thing to put it in scientific research, students don't know their divergent thinking, they don't know that they think of the right direction of research and development, but the system can judge the feedback.

There's no way to judge this.

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

Several people in the office were there.

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

Wang Hao said, "I went to two people who were in the teaching department, but it seemed that they didn't do anything, and they left after class." ”

"That's good."

Zhu Ping followed, "Don't worry. Teaching affairs are generally not aimed at lecturers, and it is okay to be strict with students. However, the current students are not easy to manage, and if there is any problem, some of them will simply post it on the Internet. ”

"I sometimes worry about lectures."

Zhang Zhiqiang followed and said, "I'm afraid that there will be a problem when I speak, and then I will be ugly, it was nothing at the time, and it would be embarrassing to be posted on the Internet......"

The Office began to discuss this issue.

Wang Hao also said, "When I see someone holding a mobile phone in class, I will directly deduct the usual points by name, and I can't touch it!" ”

"Then you're amazing!"

"I can't learn!" Yan Jing shook her head and said, "Students are too difficult to manage, to be honest, I still feel like a student!" ”

Zhu Ping smiled, "You are indeed small, a little cute." ”

"Haha~~"

Several people laughed along.

Yan Jing was a little embarrassed, she glanced at Wang Hao, and found that Wang Hao was looking at things intently.

It is said that serious men are the most attractive......

She stared at Wang Hao and suddenly turned red, looked left and right and pretended not to care, and quickly looked elsewhere.

Wang Hao chatted with other people in the office for a few words, and found that Zheng Yaojun sent something, which was the content of the "Differential Equations" class, including some foundations in the textbook, several topics explained in class, and a few homework questions.

"Differential Equations" in the first year of research is a very important course for science majors such as mathematics and physics.

At the undergraduate level of science majors, there is "Partial Differential Equations", most of which are just basic knowledge, such as 'non-homogeneous', 'Fourier transform', 'high-dimensional problems', etc., and the slightly more complex content only needs to be done with a basic understanding.

In the "Differential Equations" at the graduate level, the above content becomes the foundation.

"Mathematical Analysis", "Advanced Algebra", "Analytic Geometry", and "Ordinary Differential Equations" are all precursors to "Differential Equations" at the graduate level.

Because it was in the second half of the semester, the "Differential Equations" course was also in the later stage, and the course content had reached the most complex stage.

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

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

Wang Hao couldn't help but smile when he saw the knowledge points behind, he was explaining the 'one-dimensional non-homogeneous equations', and then brought a section of 'solving non-homogeneous linear equations', which will definitely bring a lot of inspiration.

Past eleven.

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

Wang Hao officially entered the working state. Spend a 'Teaching Coin' to enter Focus mode, which then opens the Tasks module.

[Task 2]

[R&D Project Name: In-depth Study of One-Dimensional Nonhomogeneous Equation Solving (Difficulty: D.) ）】

[Inspiration value: 243.] 】

(Hint: 100 inspiration points can be used to help you get the correlation of R&D-related inspiration and knowledge.) ）

"Use!"

[Task 2, inspiration -100.] 】

Suddenly, the idea of non-homogeneous equations in my mind formed a complete and clear context.

The pathway was opened.

"Higher differential equations can be summarized, and there are several types that can be converted into homogeneous equations for solving......"

"That's right!"

The consumption of inspiration points is not to simply increase knowledge, but to straighten out the knowledge and ideas that are already in the mind.

It's as if inspiration is activated!

Wang Hao immediately knew what to do. He immediately carried out a specific study, listed several types of higher-order differential equations that could be converted 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 study ended quickly.

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

"This study ...... Sure enough, it's D-class! ”

Looking at the content summarized on the paper, Wang Hao couldn't help but shake his head, in comparison, the level of research and development is similar to the research when he was studying for a doctorate in his memory.

Essays, for sure, can be written.

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

Then, he consumed another hundred inspirations.

The inspiration for this project is related to the complex non-homogeneous p-Kirchhoff-type elliptic equations, which is to study a class of non-homogeneous p-Kirchhoff-type elliptic equations and confirm the existence of multiple solutions.

Again, it's very small research.

"Looks like that's the D-class."

Wang Hao was a little helpless, but after thinking about it carefully, he couldn't be completely sure, "D-level, 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, and it will be a great result. ”

The difficulty does not represent the size of the results.

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

Of course, it only takes one class to think of two research directions and produce corresponding results, which is quite amazing.

Although the results are a little frivolous, putting them on others can also add a touch to the R&D resume.

……

Wang Hao went back very early.

After eating in the cafeteria at five o'clock, he walked around half-exercising and half-walking, and went straight home.

He listened to music and wrote his dissertation.

There was a knock on the door.

Wang Hao opened the door with doubts, and found that the two girls were on the door, and he said with a little doubt, "You guys, this is ......"

Li Qian just looked at him.

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

"Solution? What's the question? ”

"Differential Equations."

"Alright, please come in!" Wang Hao gave up his position and let the two girls come in and sit on the sofa, and then went to get two bottles of drinks as a reception.

Gu Youyou handed over a blank piece of paper, and the title was copied on the blank paper.

She stared at Wang Hao's eyes seriously the whole time.

Wang Hao was seen as wrong, if it weren't for the lack of narcissistic plots, he would definitely feel that the other party liked ......

Wrong!

That's not like, it's doubt!?

"It's like being watched by the police, like being a prisoner?" Wang Hao thought a little weirdly, and thought it was because of the other party's personality.

He took the blank paper and looked at it, "Linear algebra solves systems of differential equations?" ”

"This topic...... Simple! ”

Wang Hao knew what to do at a glance, and he explained while writing the answer, "First of all, we must use the matrix to rerepresent the system of equations, and change it into this ......"

"Then we use a matrix to represent the general solution, and we can make the solution in the form of ......"

"Then explain the system of equations, simplify, and find the eigenvalues."

"Look at the equation. Λ1 and λ2 are substituted into the equation to find the eigenvector ......"

Wang Hao said it in one breath, and it took almost five minutes.

The total time spent solving the problem is less than two minutes, as if it is directly writing the answer, and the rest of the time is spent on explaining.

Gu Youyou and Li Qian both nodded their heads continuously, they seemed to be thinking along, but they didn't show surprise like last time.

The two glanced at each other, with an inexplicable look on their faces.

After Wang Hao finished talking about the topic, Gu Youyou and Li Qian got up to go back, and Wang Hao suddenly said, "Don't leave yet." I have something to ask you. ”

The two sat down again.

Wang Hao looked at their expressions and demeanor, and always felt strange in his heart, but the woman's mind was too complicated, and he didn't think much about it before asking, "Your differential equations have just learned linear algebra to solve differential equations, right?" ”

"Right?"

Wang Hao began to ask seriously, "How are you learning?" Do you feel difficult? I don't think your homework is difficult, but when you do it, do you feel struggling? ”

"What about the other students? How difficult is it to learn? ”

"Do you have any preparation for the next lesson? In the next lesson, it should be an image of the solution of a system of differential equations......"

He asked several questions in a row.

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.

……

Door.

Gu Youyou and Li Qian quickly rushed to the house and closed the door.

Li Qian couldn't help but say, "You're right, he really studied our homework questions, and he spoke really fluently, I heard it once, and I don't understand it very well!" ”

But what does he mean in the end? How do you care about the progress of the course? I also asked other students what kind of difficulty ......"

"What do you mean?"

She clutched her scalp and couldn't figure it out at all.

Gu Youyou half-leaned on the shoe cabinet, his thumb and forefinger supported his chin, and said thoughtfully, "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 he doesn't have to ask Mr. Zheng? ”

"You see, he also asked about the difficulty of the course, is he afraid that it will be too difficult to keep up?"

"This ......"

Li Qian patted her head vigorously, frowned, and said, "Your analysis seems to make sense." However, I always felt that something was weird......"

"It's too much trouble! Men, especially handsome guys, are so hard to understand and I'm not the same breed at all! ”

"It's better to go to bed early, otherwise I'll be hungry again in a while~~"

"Tomorrow's first session is differential equations, I have a headache, I heard that Mr. Zheng is on a business trip, and I don't know who will substitute ......"