"Let's take a look at Zheng Li's test paper first," Liu Gui said to Zhang Jixue, who was very anxious.
Zhang Jixue slowly pulled out Zheng Li's test paper from a pile of papers and said, "No need to worry. The papers I gave this time are more difficult than those in previous years. Don't have high expectations."
Liu Gui smiled: "How difficult is it to beat Qiu Sai?"
Zhang Jixue glanced at him and said nothing. Liu Gui smiled and said, "Maybe it's a little more difficult."
What Qiu Sai examines is not the difficulty, but the breadth of students' mastery of mathematical knowledge. The test questions are all relatively conventional.
"Why are you so optimistic about Zheng Li? Just because he has solved two analysis questions?" Zhang Jixue asked while correcting Zheng Li's test paper.
"Not exactly. It's very rare for him to master real variable functions and measure theory in his freshman year. It also shows his talent in mathematics."
"What's more, I can see through this his love for mathematics, his arrogance in the group, and his extreme confidence."
"It's not easy to have these two points at the same time." Liu Gui explained.
Zhang Jixue asked: "It's not easy for you to lure such a student to study for your doctorate."
Liu Gui smiled and said: "There is no such obsession, I just feel happy when I see a good student."
"For such talented and enthusiastic students, as seniors, I always hope to give him some correct guidance."
“There are too few mathematicians from Jiangcheng University’s School of Mathematics. The last time a mathematician from Jiangcheng University was able to give a report at the International Congress of Mathematicians was 14 years ago.”
The International Congress of Mathematicians is held every four years and is the most important event in the field of mathematics. It is very difficult to give a report at the main venue.
Over the years, only two mathematicians from Jiangcheng University have given lectures at the main venue of the International Congress of Mathematicians.
(Note: It is very easy to give a report at a breakout venue.)
Zhang Jixue: "It's quite difficult, but the goal is still visible. I thought you would expect him to take Fields."
"You are indeed talented." Zhang Jixue handed over Zheng Li's test paper, which was full of ticks.
"Not bad." Liu Gui said.
Zhang Jixue: "In other words, I have always felt that there is something wrong with our training system. What we teach students is too vague."
It was rare for Liu Gui to see his old friend talking so enthusiastically, so he asked: "How do you say it?"
Zhang Jixue stood up and walked to the window, taking a deep breath of the mountain air: "The edifice of mathematics was built by the predecessors, and then later mathematicians trimmed it, and what is presented to today's people is a very delicate structure."
"Each theorem is related to many related theorems, but when we explain it to students, it is very empty, as if a road appeared out of thin air on the ground. There is no mud road made by countless footprints before, it is just a road."
"Students only learn theorems and proofs, and the proofs are shown to them as the optimal proofs, but they are not shown the process of continuous optimization by predecessors."
"So most of the people we train have no enthusiasm for mathematical research, because they have not felt the beauty of mathematics, the efforts of their predecessors, and the sense of accomplishment in mathematical research. They only learn mechanically."
Liu Gui nodded. He could completely understand what Zhang Jixue meant: "So in recent years, most of Yan's students have been using Amerikan's teaching materials directly."
Zhang Jixue: “Because their textbooks have many relevant examples to explain how the theorem came about. In short, it is more suitable for the actual research situation.”
Liu Gui interrupted: "This is not something we can change, and if we also use all-English textbooks, we have to win the support of the dean."
Zhang Jixue sighed: "How do you plan to train Zheng Li? He should have a solid foundation. There will be no problem with the basic courses in his freshman and sophomore years."
Liu Gui: "Just find a topic for him to do, and let him come to the seminar class of the graduate student I teach."
...
Zhang Jixue hurriedly walked into the classroom with a smile on his face:
"The study committee member will hand out the papers to me first."
After finishing speaking, Zhang Jixue handed a large pile of papers to the study committee member, and then he continued: "The midterm exam was indeed very difficult. Basically, everyone failed. There were only three people who passed, which is still relatively small."
Zhang Jixue is older, an old professor. He went to Gaul to study for a doctorate in the 1980s. He is very open-minded and looks very happy every day. It seems that nothing can trouble him.
If you are a teacher of algebra class, if you see that everyone is failing, you should at least teach everyone a lesson with a serious face.
"Song Hanlin, 65 points."
"Li Jinding, 78 points."
"Finally, I want to give special praise to Zheng Li. Is Zheng Li here?" He looked around and said, "Zheng Li got 100 points in the exam and did everything right. It's not easy."
"Wow!" The students below were making a noise. The freshman Hongyi class and the base class 1 were in class together. It can be said that Zheng Li's score was the first in the whole grade.
"He's not here." The study committee member replied after looking around.
Zhang Jixue asked: "I think I saw him during roll call on the first day. Did he not come after that?"
"No, it seems that he hasn't been here since the National Day." The study committee member replied based on his feeling, "He has been studying in the self-study room on the 6th floor of Lakeside every day during this period."
Zhang Jixue nodded: "You can get full marks on this test paper, so there is really no need to come to class."
"Most of you did not do well in the exam, and there may be a gap between the scores you expected. If you can get into Jiangcheng University and choose the mathematics department, you must have scored 140 or 150 in mathematics in high school, and at least the starting point is 130."
"It turns out that when I got the paper for the first midterm exam after I came to college, I saw a score of 30, which was really a bit frustrating."
"I deliberately made the questions extremely difficult. I want to tell you that college mathematics, especially if you are determined to do mathematical research, is completely different from high school mathematics."
"In previous years, my first midterm exam was extremely difficult. When you wait for this year's final exam, you will find it much easier than the midterm exam."
What Zhang Jixue didn't say was that the questions he set this time were more difficult than in previous years. He chose the most difficult ones from Xie Huimin's "Lecture Notes on Mathematical Analysis Exercises" and Pei Liwen's "Typical Problems and Methods in Mathematical Analysis" topic.
There is no scoring question.
"Although the questions are difficult, everyone still needs to see the gap. When most people can only get more than 30 points on the test, some people can get full marks. The gap is still quite big."
"I hope you can spend more time practicing. Mathematical analysis and algebra will be throughout your college studies, even to the master's and doctoral levels. These two courses are very important."
"Of course, if you engage in combinatorial mathematics, you will be fine with general mathematical analysis."
Zhang Jixue looked at the expressions of the students in the audience with some frustration. He smiled and said: "Don't worry, everyone, the midterm exam only accounts for 10% of the total grade. We have two more exams later, and then the final exam, which accounts for 10% of the total grade." Seventy percent, so if you do well in the final exam, your final overall score will not be affected too much.”
"In addition, because everyone's scores are too low, I will ask the study committee member to take your score and multiply it by ten as your final score."
"Okay, let's get back to the midterm exam paper. We will mainly explain this paper thoroughly today."
Few of the students in the audience were interested in listening to the professor's explanation of the test papers. They were either looking at why their test papers had such a low score, or they were in a group.
The freshmen group can be said to have exploded:
"Zheng Shen is so awesome!"
“Full score master”
“I can get perfect marks on such a difficult paper”
"Zheng Shen has gone beyond the scope of my understanding."
Until someone posted a photo of Zheng Li secretly taken in the study room and captioned it: "Zheng Shen takes me with you."
After that, the freshmen group was flooded with this expression.
In addition, many people really planned to go back and ask Zheng Li for advice after class in the afternoon.
