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Chapter 87 Mutual supervision and mutual learning

After filling out the application form, Chen Zhou finally felt a lot more relaxed.

Except for the few days when I got the admission notice, Lao Chen's house was bustling with activity.

In addition, some local media occasionally came to interview him. During the rest of the time, Chen Zhou could 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 had not chosen at the time.

For physics, he bought two volumes of "College Physics" (Shuimu University Edition) with a mission description.

He searched for chemistry textbooks online, and finally chose the two volumes of "Inorganic Chemistry (Fourth Edition)" (compiled by the Inorganic Chemistry Teaching and Research Office of Tianda University) and "Basic Organic Chemistry (Third Edition)" (Higher Education Edition).

Chen Zhou plans to study physics and chemistry textbooks while studying advanced mathematics on his own.

He is not worried about time. Although the use of psychotropic agents is restricted for high-level mathematics tasks, physics and chemistry are still possible...

As for why I bought new books this time instead of borrowing them from my seniors or sisters.

That was of course because the bonuses in all aspects were so generous. After the psychotropic potion, Chen Zhou once again experienced the feeling of getting rich overnight.

Chen Zhou even thought that if he took the college entrance examination more times, buying a house or a car would not be a dream...

While Chen Zhou was studying advanced mathematics, macrophysics, and inorganic and organic chemistry, Yang Yiyi was also studying advanced mathematics and macrophysics on her own.

The upper mathematics textbook that Yang Yiyi originally chose was the Yanda version, but when she saw that Chen Zhou chose the Tongda Sixth Edition, she changed it to the Tongda version.

Although the versions are different, the knowledge is interoperable.

Moreover, now that I have studied the YSU version by myself, I will study the YSU version again after school starts, which will also serve as a comparison.

Chen Zhou studied advanced mathematics in the morning, macrophysics and inorganic chemistry, and organic chemistry in the afternoon.

Yang Yiyi is the opposite of Chen Zhou. She studies mathematics in the morning and advanced mathematics in the afternoon.

This is to keep the pace the same so both people can learn simultaneously.

As much advanced mathematics as Chen Zhou learned in the morning, Yang Yiyi learned as much in the afternoon.

Similarly, as much as Yang Yiyi has learned from great things, so has Chen Zhou.

Of course, because of the psychoactive drugs, Chen Zhou would switch to chemistry textbooks after he caught up with Yang Yiyi's progress in studying big things.

Then, in the evening, the two of them verified their mastery of the knowledge points through exercises in the textbook.

For questions that they don't know, the two people will ask each other for advice and discuss with each other.

If neither of you understands it, then look up information online.

However, it is rare for two people to understand basic teaching materials such as advanced mathematics and big objects.

In this way, from Monday to Friday every week, the two of us supervise each other, learn from each other, and make progress together.

Then, reward yourself with a weekend off.

However, Chen Zhou basically spent his weekends giving tutoring lessons to his uncle's cousin and his younger brother Chen Xiao.

I don't know if it was Chen Zhou's misunderstanding, but he found that the two children seemed to be more interested in studying.

Especially his younger brother Chen Xiao, who used to just have fun during the summer vacation, now actually started to answer questions and read books by himself.

Chen Zhou was still very pleased. He remembered what Zhang Yifan and the others said: one person's changes will affect a group of people around him.

As time went on, Chen Zhou finally reached the last section of advanced mathematics.

"Section 8, Fourier series of general periodic functions."

"1. The Fourier series of a periodic function with period 2l..."

"...Suppose the periodic function f(x) with period 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 took a pen and wrote on the draft paper while following the theorems and proof methods in the textbook.

After reading this part, Chen Zhou put aside the textbook and took a look at the content written on the draft paper.

Then put down the scratch paper and start reading the examples below.

The examples are all simple and not difficult.

According to the previous theorem formula, just substitute it into the derivation.

After the examples, Chen Zhou came to the last content of this textbook.

"*2, the complex form of Fourier series"

When Chen Zhou saw this small part of the content, it was actually marked with an *, and he immediately became interested. The finale should be a bit more difficult.

Chen Zhou spent some time to straighten out the complex form of Fourier series.

In general, the two forms of 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 examples, there are exercises 12-8.

Chen Zhou stopped and waited to solve the exercises with Yang Yiyi in the evening to see who was faster.

After checking the time, Chen Zhou took out the second volume of "Basic Organic Chemistry" before it was time for dinner.

There are the most chemistry textbooks, and Chen Zhou spends the most time accordingly.

After eating at noon, Chen Zhou took a nap for half an hour and was woken up by Yang Yiyi's phone call.

When the afternoon study time came, the two of them began to study on their own.

The study of big physics textbooks has also come to an end, so Chen Zhou allocates more time to the study of chemistry textbooks.

It's not long since I left school, and I must complete the goals I set before school starts.

In the evening, practice time.

Chen Zhou took out the advanced mathematics textbook and said to Yang Yiyi to start.

He picked up his pen and began to solve the remaining exercises.

In addition to the exercises in the last section, there is also a general exercise for the entire chapter.

The number of questions is okay, but in terms of difficulty, there are only two questions marked with * in the exercises in the last section.

Chen Zhou quickly solved questions 1 and 2 in order, and then started to do the first question marked with an *.

"Suppose f(x) is 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 complex number form.

Fourier series.”

Chen Zhou thought for a while and began to write on the draft paper: "The function f(x) is continuous at x≠2k1,k=0,±1,±2, then cn=1/2l∫...

=sinh1·(-1)^n·(1-nπi)/(1(nπ)2).”

Chen Zhou checked the calculation process and found that there was no problem. Adding the sum from -∞ to ∞, it was done.

"So the complex form of the Fourier series of f(x) is f(x)=sinh1..."

Solve this problem, next question.

The only question marked with an *.

After reading the question, Chen Zhou thought for a while and began to solve the problem on the scratch paper.

It took a little more time, and although this question was a little more difficult than the previous question, the knowledge was clear, so it was just so-so.

The general exercises of the last chapter remain.

Chen Zhou quickly solved all the problems and then gave Yang Yiyi a competition~

Yang Yiyi looked at the last question left, pouted and said: "Humph, you win. When I finish, we will compete in physics!"

Chen Zhou saw Yang Yiyi's expression and laughed happily.

Yang Yiyi lowered her head and continued to do the questions.

Chen Zhou took out a collection of wrong questions and prepared to verify the answers.

However, before he opened the wrong question set, the voice of the system rang in his mind.

"Congratulations to the host, you have completed the task. Mathematics is the foundation and you must lay a solid foundation!"

"Completion status: The host has self-study and completed the relevant knowledge of the first and second volumes of "Advanced Mathematics" (Tongda Sixth Edition)."

"Completion time: 10 days before the start of the semester at Yenching University."

"Get reward: 1000 natural science experience points."
Chapter completed!
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