"In the research and development task of non-homogeneous equations, 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 also increased by nine points?"
"Why is it so high!"
Wang Hao looked at the values displayed by the system and thought carefully, because based on the experience of the previous week, he could be sure that more students attending the lectures was only one of the reasons.
The three physics major classes were taught together, and the inspiration value of the task of partial differential equations was increased by four or two points.
Then the reason is very straightforward--
Content relevance!
"The improvement in inspiration value is directly related to the lecture content!"
"The non-homogeneous problems at the undergraduate level only explain one-dimensional non-homogeneous equations. The difficulty is relatively simple. However, non-homogeneous equations are a type of partial differential equations. The study of solving methods for equations can also be regarded as ' Common solutions to specific partial differential equations'."
"Task two is the difficulty."
"Research related to one-dimensional non-homogeneous equations is only level D in difficulty, which is lower than Fourier transform. It is understandable that a lot of inspiration has been obtained!"
Of course, another possibility is that some students may think divergently during class and find one or several correct research and development directions.
Research and inspiration are key.
No amount of hard work can compare to a flash of inspiration, which is normal in scientific research. Students don't know that they are thinking divergently or that what they are thinking of is the correct direction of research and development, but the system can determine 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 from the office are there.
Yan Jing asked, "Wang Hao, how was the class?" She was asking about the report, and everyone in the office knew it.
Wang Hao said, "Two people from the academic affairs department went there, but they didn't seem to do anything and left right 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 nowadays students are difficult to manage. If there are any problems, some just post them online."
"I sometimes worry about giving lectures."
Zhang Zhiqiang continued, "I was afraid that something would go wrong when I spoke and make a fool of myself. It was nothing at the time, but it would be embarrassing if it was posted online..."
The office discussed this issue.
Wang Hao also said, "If I see anyone holding a mobile phone in class, I will call them by name and deduct their points, and I can't even touch them!"
"Then you are awesome!"
"I can't learn!" Yan Jing shook her head and said, "Students are too difficult to manage. To be honest, I still feel like I am a student!"
Zhu Ping smiled and said, "You are indeed small and a bit cute."
"Haha~~"
Several people started laughing.
Yan Jing was a little embarrassed. She glanced at Wang Hao and found that Wang Hao was looking at something intently again.
It is said that serious men are the most attractive...
She stared at Wang Hao and suddenly her face turned red. She looked around pretending not to care, and quickly looked away.
Wang Hao chatted with other people in the office and found that Zheng Yaojun had sent something, which was the content to be taught in the "Differential Equations" class, including some basics in the textbook, several topics explained in the class, and several lessons. Post homework questions.
"Differential Equations" in the first year of junior high school 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 the content is just basic knowledge, such as 'non-homogeneous', 'Fourier transform', 'high-dimensional problems', etc. For slightly more complicated contents, you only need to do the basics. understanding is enough.
For graduate-level "Differential Equations", the above content becomes the basis.
"Mathematical Analysis", "Advanced Algebra", "Analytical Geometry", and "Ordinary Differential Equations" are all prerequisite subjects for graduate-level "Differential Equations".
Because it was the second half of the semester, the "Differential Equations" course was also in its later stages, and the course content had reached its most complex stage. The two lessons and four hours of content he sent mainly included two knowledge points -
One is the image of the solution of the differential equations;
The other is to solve a system of non-homogeneous linear equations.
Wang Hao couldn't help but smile when he saw the knowledge points at the end. He was explaining 'One-dimensional non-homogeneous equations', and he would also bring a section of 'Solving non-homogeneous linear equations' from Yanyi, which would definitely bring a lot of benefits. 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 work mode. Spend a 'teaching coin' to enter focus mode, and then open the task module.
【Task 2】
[R&D project name: In-depth research on solving one-dimensional non-homogeneous equations (Difficulty: D.)]
[Inspiration value: 243. 】
(Tip: You can use 100 inspiration points to assist in obtaining research and development-related inspiration and knowledge correlation.)
"use!"
[Task 2, inspiration value -100. 】
Suddenly, the inspiration related to non-homogeneous equations formed a complete and clear context in my mind.
The passage was opened.
"High-order differential equations can be summarized and summarized, and there are several types that can be converted into homogeneous equations for solution..."
"yes!"
The consumption of inspiration points is not to increase knowledge in vain, but to straighten out the existing knowledge and ideas in the mind.
It was like inspiration being activated!
Wang Hao immediately knew what to do. He immediately conducted specific research, listed several types of higher-order differential equations that he thought could be transformed into homogeneous equations, and then transformed them one by one in specific methods.
Through constant transformation and calculation, we can find their commonalities and summarize them.
The research was soon over.
Because I already have relevant knowledge in my mind, and my inspiration is activated and I know the direction, I just write it down.
"This research...is indeed D-level!"
Looking at the summary on the paper, Wang Hao couldn't help but shake his head. In comparison, the level of research and development was similar to the research he remembered when he was studying for a Ph.D.
You can definitely write a paper.
Because it only summarizes the solutions to several equations, the results can be said to be very small, and I can only write a small paper.
Then, he consumed another hundred inspiration points.
The inspiration direction obtained this time is related to the complex non-homogeneous p-Kirchhoff type elliptic equations. It is to study a type of non-homogeneous p-Kirchhoff type elliptic equations and confirm the existence of multiple solutions.
Still, it's a small study.
"It seems that this is the level of D-level."
Wang Hao felt 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, will be Great results.”
Difficulty does not mean 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 also be big results.
Of course, it only takes one class to think of two research directions and draw corresponding results. The speed is quite amazing.
Although the results are a little tasteless, if you put them on others, they can still add to your R&D resume.
…
Wang Hao went back very early.
After eating in the cafeteria at around five o'clock, he walked around half-exercising and half-walking, and then went home directly.
He was listening to music and writing his thesis.
The door rang.
Wang Hao opened the door with doubts and found two girls opposite the door. He said with some confusion, "You guys, this is..."
Li Qian just looked at him.
Gu Youyou held a book in her hand, stared into his eyes seriously, and said, "Can you help us solve a problem?"
"Solve the problem? What problem?"
"Differential Equations."
"Okay, come in!" Wang Hao made way for the two girls to come in and sit on the sofa, and then went to get two bottles of drinks as a treat.
Gu Youyou handed over a piece of white paper, and the title was written on it.
She stared at Wang Hao's eyes carefully the whole time.
Wang Hao felt that something was wrong with him. If it weren't for his narcissistic plot, he would definitely feel that the other party liked him...
wrong!
That’s not liking, that’s suspicion! ?
"It's like being watched by the police, like being a prisoner?" Wang Hao thought a little weirdly, thinking it was because of the other person's personality.
He took the white paper and glanced at it, "Linear algebra to solve a system of differential equations?"
"This question... is easy!"
Wang Hao knew what to do at a glance. He explained while writing the answer, "First, we must use a matrix to re-express the system of equations, and change it to this..."
"Then using a matrix to represent the general solution, we can assume the form of the solution to be..."
"Then we will explain how to bring it into the system of equations, simplify it, and find the eigenvalues."
"Look at this equation. Substituting λ1 and λ2 into the equation respectively, find the eigenvectors..."
Wang Hao said it in one breath, which took almost five minutes.
The total time spent on solving the problems was less than two minutes, as if I just wrote the answers directly, and the rest of the time was spent on explanations.
Gu Youyou and Li Qian both nodded. They seemed to be thinking, but they didn't show surprise like last time.
The two looked at each other with inexplicable expressions on their faces.
After Wang Hao finished speaking about the topic, Gu Youyou and Li Qian stood up to go back. Wang Hao suddenly said, "Don't leave yet. I have something to ask you."
The two sat down again.
Wang Hao always felt strange when he looked at their expressions and behavior, but the women's thoughts were too complicated, so he asked without thinking too much, "Your differential equations are the result of having just learned linear algebra to solve differential equations." Bar?"
"right?"
Wang Hao began to ask serious questions, "How are you studying? Do you find it difficult? I think your homework questions are not difficult. Do you find it difficult when you do them?"
"Where are the other students? How difficult is it to study?"
"Have you previewed the content of the next lesson? The next lesson should be about the 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 and expressed his gratitude to the two of them before letting them go back together.
…
Opposite door.
Gu Youyou and Li Qian quickly rushed into the house and closed the door.
Li Qian couldn't help but said, "You are right, he has really studied our homework questions, and his lectures are really fluent. I listened to it once, and I still don't understand it!"
"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 and so on..."
"what does it mean!"
She scratched her scalp and couldn't figure it out.
Gu Youyou half-leaned on the shoe cabinet, supporting her chin with her thumb and index finger, 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 there is no need Have you asked Teacher Zheng?"
"Look, he also asked about the difficulty of the course. Is he afraid it would be too difficult to keep up?"
"this……"
Li Qian patted her head hard and frowned, "Your analysis seems to make sense. However, I always feel like something is weird..."
"It's so troublesome! Men, especially handsome men, are so difficult to understand. They are completely different from me!"
“It’s better to go to bed early, otherwise you’ll be hungry again~~”
"The first period tomorrow is differential equations. I have a headache. I heard that Teacher Zheng is on a business trip, and I don't know who will take my place..."
