At dawn, a ray of white light showed in the sky in the distance. Driven by his biological clock, Yu Hua woke up naturally, got up and washed himself, put on plain clothes, and left after finishing his work with a backpack prepared in advance. He left the school and went straight to the Zhonghua Post Office in Xicheng District.
.
Under the surprised and weird eyes of the post office staff, I left my things, paid and left, and soon returned to school to start a new day of study.
As Master Hua Luogeng said, learning is like sailing against the current. If you don't advance, you will retreat. There is no time for him to waste.
After breakfast, Yu Hua was the first to arrive at the classroom. He took out the "Mathematical Analysis" he carried with him and began to study.
The course "Mathematical Analysis" was in later generations a course in the first semester of the first semester of the mathematics department and the first semester of the sophomore year, and the theory of real variable functions was a course in the second semester of the sophomore year. However, during the Republic of China, the two were just reversed, and real variable
Since function theory has not been developed for a long time, it is not as difficult as mathematical analysis with 'proof' as its core.
Of course, for many bad students, the difficulty of these two courses is basically the same, and they are both big-eyed and small-eyed.
You look at me, I look at you, no one knows anyone.
Calculus is essentially a basic branch of mathematics based on calculus. In terms of age, modern calculus is still a young man who is just around 200 years old. He is not as senior as his grandfather's grandfather, analytics, but his status and importance are much higher.
Classical analysis.
After the two great men, Cauchy and Weierstrass, perfected and redefined the limit theory, the 'charm' of fractions began to bloom.
Generally speaking, the contents of advanced mathematics and numerical fractions are basically the same. The difference between the two is that advanced mathematics uses calculus as a mathematical tool, while numerical fractions help people establish mathematical ideas.
If we switch to reality, those who learn advanced mathematics will do all kinds of problems, and those who learn numerical scores will do all kinds of... proofs.
After learning it, my subjective feeling is - this thing also requires fucking proof?
How can it be proved like this?
Just as Yu Hua opened the original English textbook "Mathematical Analysis" from Cambridge University, after reading the first part, he frowned slightly and thought deeply. He did not expect that these basic concepts of calculus he had learned could be proved in this way.
.
interesting.
very funny.
Yu Hua regained his energy and spun the pen with his right hand. He was lost in thought, constantly solving doubts one after another and gaining knowledge. Although the learning efficiency was not as high as when Hua Luogeng was giving lectures, he was better in quantity.
At this time, Fang Yu walked into the classroom and looked towards the middle area of the classroom as always. After seeing Yu Hua's figure, a smile subconsciously appeared on his face, and then returned to his seat to start self-study.
Yu Hua was always the first one to come to the classroom to study. Fang Yu was not surprised by this, and even influenced by Yu Hua, she came to the classroom earlier than before.
The previous drawing class has been completed, and Fang Yu and Zhou Yuan have basically mastered the drawing standards and know how to draw images of various mechanical equipment and metal parts.
After Fang Yu arrived in the classroom, other students arrived one after another, including Zhao Anyuan, monitor Li Jian, Liu Tao, etc. Before he knew it, the classroom was gradually filled with students.
Yu Hua is immersed in the world of fractions, his brain is relaxed, his mood is happy, and he continues to deepen his understanding of calculus, a top mathematical tool. The seemingly difficult and abstract fractions contain the precious value of "knowing what is happening and why."
Knowledge, which is not available in the "Calculus" course.
With an extremely solid foundation in calculus and real variable function theory, Yu Hua did not find it boring to learn fractions, but rather enjoyed it.
I don't know how much time passed, but Yu Hua suddenly felt someone beside him. When he looked up, he saw Mr. Luo Wenguang, a senior student with a smile on his face. Looking around, he saw a group of students sitting upright. Judging from the situation, class had almost begun.
"I'm sorry, sir, the students were so absorbed in watching that they forgot the class time." Yu Hua realized something was wrong and quickly apologized.
Luo Wenguang smiled, indicating that it was okay, and glanced at the counting textbook on Yu Hua's desk: "Yu Sheng, are you already looking at counting fractions?"
As a top teacher who has been teaching for decades, Luo Wenguang naturally knows his stuff. This mathematics textbook on Yu Hua’s desktop is a serious version of fractions, in the original English version.
Luo Wenguang did not expect that Yu Hua's learning progress had reached several levels.
"Yes, the teaching materials Professor Hua gives to his students."
Yu Hua was startled for a moment and answered truthfully.
"How was your study?" Luo Wenguang nodded and continued to ask.
"I just watched it and it seems pretty good."
Yu Hua scratched his head sheepishly and said.
Luo Wenguang said with a smile: "It's not bad, that means you're good at studying. Not bad. For the rest of your life, sir, I want to hear what you have to say about this arithmetic class. How about it?"
The implication was that Yu Hua was asked to come up and give lectures.
As soon as these words came out, the students around him were stunned. This was the first time Mr. Ren had proposed this since he started school.
Darling, has Yu Hua’s arithmetic level reached the level where he can give lectures to everyone?
The surrounding students were surprised, but when they thought about Yu Hua's unattainable math scores, they felt that there was nothing wrong with him.
Since the first monthly quiz in early March, Yu Hua's scores in arithmetic and other science subjects have not dropped below 100 points.
The stability of the score is disappointing!
The gap between people can actually reach such an extent.
Fang Yu, who was still sitting in the second seat in the first row, was full of expectations and her eyes fell on Yu Hua.
"You want me to give a lecture? Uh... Okay, but my lecture may not be very good." Hearing this request, Yu Hua was stunned for a moment, but he was not afraid. He thought about it, nodded in agreement, and stood up.
"It's okay, let's go."
Luo Wenguang smiled, stepped aside to make room, and after Yu Hua left his seat, he said to everyone in the classroom: "Today's first arithmetic class, Yu Sheng will give the lecture to everyone on my behalf and pay my respects as a teacher."
After finishing speaking, he sat down and looked at Yu Hua with eyes full of expectation.
Under the gaze of everyone, Yu Hua walked straight to the podium, just giving a lecture, no big deal.
After Yu Hua stood on the podium, monitor Li Jian and all the students stood up and performed the teacher's salute according to the rules, and Yu Hua returned the salute.
After the ceremony, sit down.
Inside the classroom, it's quiet.
Everyone's eyes were fixed on Yu Hua. Fang Yu quietly stared at Yu Hua who was very close at hand. She hadn't seen Yu Hua so close for a long time since the drawing class ended.
Today's arithmetic class focuses on reviewing the definite integral of derivatives.
After taking a look at the whole question, what immediately came to mind were various second-order derivatives and third-order derivatives, as well as the proof of definite integrals using fractional thinking. Yu Hua conceived some words in his mind, tried hard to suppress the crazy and active fractional thinking, and reduced it to elementary level.
In the mathematics stage, when everything is ready, the lecture begins: "Today we will talk about the definite integral of the derivative. Student Fang Yu, please answer what the definition of a definite integral is."