Volume 1: Student Life Chapter 94: Learned after school starts
Before he knew it, Chen Zhou had reached the end of the first chapter of "A Brief Tutorial on Complex Functions".
"…the above concepts of continuity and differentiability on C are extended to the extended complex plane…"
After reading the last paragraph, Chen Zhou remembered the two names, Riemann sphere and differential manifold.
It sounds very high-end, and it is even higher-end when you learn it...
Taking the draft paper, Chen Zhou sorted out the key points of the first chapter according to what he had recorded.
Then, Chen Zhou set about solving Exercise 1 at the end of Chapter 1.
At this time, Yang Yiyi touched him gently.
Chen Zhou turned his head and looked at her in confusion, thinking that she had encountered some difficulties.
As a result, Yang Yiyi raised her hand slightly and pointed.
Chen Zhou looked in the direction Yang Yiyi pointed.
Two people, Professor Wu Xiping who teaches mathematics and calculus and Professor Zhang Zhongyuan who teaches advanced algebra.
Chen Zhou recognized Professor Wu Xiping at first sight and wanted to say hello.
But when he saw Professor Zhang Zhongyuan next to him, his instinctive reaction was to feel a little embarrassed and he wanted to pretend that he didn't see it.
No matter what Chen Zhou thought, Professors Wu and Zhang had seen him and were walking towards him.
Professor Wu Xiping had a good impression of this student, saying that he had strong self-study ability and good study habits.
He remembered that in the first mathematics class, there were nearly a hundred students from three departments, and Chen Zhou was the 12th from the last to submit his answers.
By yesterday's calculus class, Chen Zhou was already the 12th person to hand in his answer for a positive number.
His progress is rapid and obvious, and he has adapted well to the Department of Mathematics at Yanda University.
Professor Zhang Zhongyuan's impression of Chen Zhou was very average. In his advanced substitute class, Chen Zhou did not do anything outstanding.
There was even one time when Chen Zhou didn't know the question.
The two professors did not come to see Chen Zhou specifically. They had a common topic and made an appointment to meet in the library seminar room to discuss.
When the two professors passed by, Chen Zhou took the initiative to say hello and smiled at them.
Wu Xiping also smiled at him and nodded slightly.
Zhang Zhongyuan just nodded.
After saying hello, Chen Zhou lowered his head and prepared to continue working on Exercise 1.
However, Chen Zhou discovered that Wu Xiping seemed to have stopped and stood behind him.
Without waiting for Chen Zhou to turn around, Wu Xiping patted him lightly and motioned him to follow him.
Chen Zhou stood up, sorted out the information, said something to Yang Yiyi, and followed Wu Xiping to a small seminar room.
Wu Xiping asked directly: "Chen Zhou, why are you looking at complex functions?"
Chen Zhou was slightly stunned, and then replied: "I was looking at it, and then I saw this."
Wu Xiping didn't understand what Chen Zhou meant, so he asked, "What about your math score? If I remember correctly, complex functions is a course that was only offered in the second semester of the sophomore year, right?"
Chen Zhou: "I learned calculus by myself in class."
Wu Xiping: "What do you mean? Have you finished all three volumes?"
Chen Zhou nodded slightly.
Wu Xiping looked at Chen Zhou in surprise. He remembered that after the first class, in every class thereafter, this student seemed to be immersed in self-study except for looking up at the last question he wrote on the blackboard.
But isn’t this self-study speed too fast? !
Wu Xiping didn't speak for a while, and no one knew what he was thinking.
Another professor in the room, Zhang Zhongyuan, said, "Chen Zhou, are you sure you have finished studying all three textbooks on mathematics?"
Chen Zhou thought for a moment and replied, "Because I have been studying on my own since the summer vacation, and Professor Wu's class also encourages students to study on their own, so I studied all three volumes of Mathematics in one go."
Zhang Zhongyuan asked again: "Then why did you start studying complex functions? According to your courses, have you learned all the geometry that you need to learn in your freshman year? Also, have you learned all my advanced algebra courses?"
"Ahem..." Chen Zhou coughed a few times, then said, "Professor Zhang, I am learning everything. It's just that your advanced algebra is quite difficult, so I learn it slowly..."
"Is it difficult? I haven't seen you ask me before?" Zhang Zhongyuan said to Chen Zhou.
"Hey, Lao Zhang, Chen Zhou must have his own study plan. He is one of the few students I have seen who has good study habits." Chen Zhou thought Wu Xiping was speaking for him, but Wu Xiping changed the subject and said, " Maybe advanced algebra is not as interesting as my mathematics, so he put it at the end, hahaha."
Zhang Zhongyuan glared at Wu Xiping who was laughing, but the latter laughed even louder.
The two professors have a very good relationship and often joke with each other about students' learning. You criticize me for my poor teaching, and I criticize you for your boring teaching.
But Zhang Zhongyuan often has the upper hand because mathematics and calculus classes are relatively more difficult than advanced substitute classes.
Mathematics and calculus require you to figure it out on your own, and there are more proof questions. For advanced algebra, you only need to know the basic knowledge and you can apply it to the later questions.
Generally speaking, numerical scoring is more flexible.
Therefore, many students complain that calculus is difficult and then turn to advanced algebra.
But Chen Zhou was the first student to finish learning calculus in one go and then go on learn complex functions, but ignored advanced algebra, which is also a core basic course.
Wu Xiping finally stopped laughing and looked at Chen Zhou: "You said you have finished learning all three volumes of Mathematics and Calculus. I want to test you."
Chen Zhou asked, "Teacher, is there a reward?"
Wu Xiping was stunned for a moment, then smiled and said, "Yes. Lao Zhang and I are working on a project, an applied study of the mutual penetration and integration of advanced algebra and mathematical analysis. Are you interested?"
When Zhang Zhongyuan heard this, he glanced at his old friend but did not say anything to stop him.
Chen Zhou immediately replied: "Please ask the teacher to give us some questions."
Wu Xiping : "Talk about the connection between several mean value theorems of differential calculus."
Chen Zhou thought he had heard it wrong, so he asked Wu Xiping again, and he was indeed asked to explain the connection between the mean value theorem of differential calculus.
I'm so sorry, Professor Wu is giving me points as a gift, so I have to accept them.
Chen Zhou first talked about the content and proof of each theorem of the mean value theorem of differential calculus, and then explained in depth the connection between each theorem.
This is probably the content that Chen Zhou is most familiar with and has the deepest understanding of.
After hearing Chen Zhou's answer, Wu Xiping's eyes showed admiration. This understanding exceeded that of most students.
Wu Xiping: "Then tell me more about the Cauchy criterion."
The Cauchy criterion is the content of the second volume of calculus. It appears twice, once in the content of numerical series and once in the content of function sequences.
Chen Zhou organized his words and said, "The Cauchy criterion is mainly used to judge the convergence of a series..."
After Chen Zhou finished speaking, Wu Xiping nodded and said, "Not bad. Leave me your email address and I'll send you the research materials later. Take a look first."
Chen Zhou asked, "Professor Wu, are there any questions about the third volume?"
Wu Xiping: "No need, just leave me your email address and go read the book yourself."
Chen Zhou glanced at Wu Xiping, found a piece of notepaper, wrote down his email address, and prepared to leave.
At this time, Zhang Zhongyuan said, "Let's review the advanced algebra course first, as well as the abstract algebra course."
"Uh... okay..." Chen Zhou nodded repeatedly and left the seminar room.
In the seminar room, Wu Xiping asked, "Lao Zhang, what do you think?"
Zhang Zhongyuan gave his evaluation: "He has learned a lot and is worthy of cultivation."
Wu Xiping smiled and joked, "Aren't you angry that he didn't learn your advanced algebra?"
Zhang Zhongyuan glanced at him and said nothing.
Wu Xiping added, "He should have learned math after school started."
