Volume 1: Student Life Chapter 87: Mutual Supervision and Mutual Learning
After filling out the application form, Chen Zhou finally had a lot of free time.
Except for the few days when he received the admission letter, the Chen family was very lively.
In addition, some local media occasionally come to interview him, and the rest of the time, Chen Zhou can finally devote himself to his studies.
In addition to advanced mathematics, after some consideration, Chen Zhou also purchased the physics and chemistry textbooks mentioned in the two tasks that he did not choose at the time.
For physics, he bought the two volumes of "University Physics" (Shuimu University edition) which described the task.
He found the chemistry textbooks on the Internet and finally chose "Inorganic Chemistry (4th Edition)" (written by Tianjin University Inorganic Chemistry Teaching and Research Section) and "Basic Organic Chemistry (3rd Edition)" (Higher Education Edition), Volumes 1 and 2.
Chen Zhou plans to sort out the physics and chemistry textbooks while self-studying advanced mathematics.
He was not worried about time. Although the high-level math tasks restricted the use of mental potions, physics and chemistry were still possible...
As for why I bought a new book this time instead of borrowing it from seniors.
That was of course because the bonuses from all aspects were so generous. After the mental potion, Chen Zhou once again experienced the feeling of becoming rich overnight.
Chen Zhou even thought that if he took the college entrance examination a few more times, then buying a house and a car would not be a dream...
While Chen Zhou was studying advanced mathematics, physics , inorganic and organic chemistry, Yang Yiyi was also teaching himself advanced mathematics and physics.
Yang Yiyi originally chose the Yanda version of the advanced mathematics textbook, but when she saw that Chen Zhou chose the sixth edition of Tongda, she changed to the Tongda version.
Although the versions are different, the knowledge is interoperable.
Moreover, I have now self-studied the same university version, and when I study the Yanda version after school starts, it can serve as a reference.
Chen Zhou studied advanced mathematics in the morning, and physics and inorganic and organic chemistry in the afternoon.
Yang Yiyi is the opposite of Chen Zhou. She studies physics in the morning and advanced mathematics in the afternoon.
This is to keep the progress the same so that both people can learn in sync.
Whatever advanced mathematics Chen Zhou learned in the morning, Yang Yiyi would learn in the afternoon.
Similarly, Chen Zhou learned as much as Yang Yiyi learned.
Of course, because of the psychiatric drugs, after Chen Zhou catches up with Yang Yiyi's progress in physics, he will switch to chemistry textbooks.
Then, in the evening, the two people verify their mastery of the knowledge points through exercises in the textbook.
For questions that they don’t know how to answer, the two people will ask each other for help and discuss with each other.
If neither of you understands, then look up information online.
However, with basic textbooks like advanced mathematics and physics, it is rare that two people don’t understand them.
In this way, from Monday to Friday every week, the two people encourage each other, learn from each other, and make progress together.
Then, reward yourself with a weekend off.
However, Chen Zhou basically uses his weekends to tutor his cousin from his uncle's family and his younger brother Chen Xiao.
I don’t know if it was Chen Zhou’s illusion, but he found that the two children seemed to be more interested in studying.
Especially his younger brother Chen Xiao, who used to just play around during the summer vacation, but now he has started to do exercises and read books on his own.
Chen Zhou was still very pleased. He remembered what Zhang Yifan and others said, that a person's change would affect a group of people around him.
As time went on, Chen Zhou finally got to the last section of advanced mathematics.
"Section 8. Fourier series of general periodic functions."
"1. The Fourier series of a periodic function with a period of 2l..."
"…If a periodic function f(x) with a period of 2l satisfies the conditions of the convergence theorem, then its Fourier series expansion is f(x) =…"
“…when f(x) is an odd function…when f(x) is an even function…”
“…”
Chen Zhou held a pen and wrote on the draft paper while following the theorems and proofs in the textbook.
After finishing this part, Chen Zhou put aside the textbook and took a look at what was written on the draft paper.
Then put down the draft paper and continue looking at the example questions.
The examples are very simple and not difficult.
According to the previous theorem formula, just .
After the example questions, Chen Zhou came to the last content of this textbook.
"＊2. Complex form of Fourier series"
When Chen Zhou saw this small part of the content, which was actually marked with an asterisk, he immediately became interested. After all, the finale should be a little more difficult.
Chen Zhou took some time to sort out the complex form of the Fourier series.
In general, the two forms of the Fourier series are essentially the same, but the complex form is simpler and only uses one formula to calculate the coefficients.
Then there are examples that are not difficult.
After the example questions, there are Exercises 12-8.
Chen Zhou stopped and waited until the evening to solve the exercises with Yang Yiyi and compete to see who was faster.
Looking at the time, it was not yet time for lunch, so Chen Zhou took out the second volume of "Basic Organic Chemistry".
There are the most chemistry textbooks, so Chen Zhou spent the most time on them.
After lunch at noon, Chen Zhou took a nap for half an hour and was woken up by a call from Yang Yiyi.
When the afternoon study time came, the two began to study on their own.
The study of physics textbooks was coming to an end, so Chen Zhou allocated more time to the study of chemistry textbooks.
There is not much time left before school starts, so I must complete the goals I set before school starts.
In the evening, it’s time for exercises.
Chen Zhou took out the advanced mathematics textbook and told Yang Yiyi to start.
He picked up his pen and started to solve the remaining exercises.
In addition to the exercises in the last section, there is also a summary of the exercises for the entire chapter.
The number of questions is okay, but as for the difficulty, there are only two questions marked with asterisks in the last section of the exercises.
Chen Zhou quickly solved questions 1 and 2 in order, and then started to do the first question marked with an asterisk.
"Let f(x) be a periodic function with a period of 2. Its expression on [-1, 1) is f(x) = e^(-x). Try to expand f(x) into a Fourier series in complex form."
Chen Zhou thought about it and began to write on the draft paper: "The function f(x) is continuous at x≠2k＋1, k=0, ±1, ±2, then Cn=1/2l∫……=sinh1·（－1）^n·（1－nπi）/（1＋（nπ）2）."
Chen Zhou checked the calculation process and found no problem. He just added the sum from -∞ to ∞ and it was done.
"So the complex form of the Fourier series of f(x) is f(x)=sinh1..."
This question is solved, next question.
This is the only question marked with an *.
After reading the question, Chen Zhou thought for a while and began to solve the problem on a draft paper.
It took a little more time to answer this question. Although it is more difficult than the previous one, the knowledge points are clear, so I can just do it carelessly.
There is only one part left, the final chapter's exercises.
Chen Zhou quickly solved all the questions and gave Yang Yiyi a "yeah" gesture.
Yang Yiyi looked at the last question left and pouted, "Humph, you win. Wait until I finish, and then we'll compete in physics!"
Chen Zhou saw Yang Yiyi's expression and smiled happily.
Yang Yiyi lowered her head and continued to do the questions.
Chen Zhou took out the collection of wrong questions and prepared to verify the answers.
However, before he opened the collection of wrong questions, the voice of the system sounded in his mind.
"Congratulations to the host for completing the mission. Mathematics is the foundation, and we must lay a solid foundation!"
"Completion status: The host has completed the relevant knowledge of the upper and lower volumes of "Advanced Mathematics" (sixth edition of Tongda) by self-study."
“Completion time: 10 days before the start of the school term at Yenching University.”
"Reward: 1000 Natural Science Experience Points."
"The mission has been refreshed. Please claim the new mission yourself."
