NOVEL SIMPLE Xueba starts with change
Chapter 87 Mutual supervision and mutual learning
Chapter 87 Mutual supervision and mutual learning
After filling out the volunteers, Chen Zhou finally had a lot of free time.
Except for the days when he got the admission letter, the old Chen family was very lively.
In addition, there are occasional local media to interview, the rest of the time, Chen Zhou can finally devote himself to learning.
In addition to the advanced numbers, after some consideration, Chen Zhou also purchased the physics and chemistry textbooks mentioned in the two tasks that were not selected at the time.
Physics He bought the second volume of "University Physics" (Shuimu University Edition) which describes the task.
He found the chemistry textbooks on the Internet, and finally chose "Inorganic Chemistry (Fourth Edition)" (compiled by Tianda Inorganic Chemistry Teaching and Research Office) and "Basic Organic Chemistry (Third Edition)" (Higher Education Edition) Volumes [-] and [-].
Chen Zhou was going to take a look at the textbooks of physics and chemistry while learning advanced mathematics by himself.
He is not worried about time. Although the high number of tasks restricts the use of psychotropic drugs, physics and chemistry are still acceptable.
As for why I bought a new book this time, instead of going to the senior or senior to borrow it.
That is of course because the bonuses in all aspects are really too rich. After Chen Zhou's spiritual medicine, he once again experienced the feeling of getting rich overnight.
Chen Zhou even thought that if he took the college entrance examination several times, then buying a house and a car would not be a dream.
While Chen Zhou was studying advanced mathematics, big things and inorganic and organic chemistry, Yang Yiyi was also learning advanced mathematics and big things by himself.
Yang Yiyi originally chose the Yanda version of the advanced mathematics textbook, but seeing that Chen Zhou chose the sixth edition of the same university, she changed it to the same version.
Although the versions are different, the knowledge is interoperable.
Moreover, now that I have self-taught the same version of the university, after school starts, I can learn the Yanda version again, which can also play a role in comparison.
Chen Zhou put advanced mathematics in the morning, and big things and inorganic and organic chemistry in the afternoon.
Yang Yiyi is the opposite of Chen Zhou. She learns big things in the morning and high maths in the afternoon.
This is to keep the pace the same so that two people can study in sync.
Chen Zhou learned how many advanced numbers in the morning, and how much Yang Yiyi learned in the afternoon.
In the same way, as much as Yang Yiyi has learned, Chen Zhou has also learned as much.
Of course, due to the reason of psychoactive medicine, Chen Zhou will switch to chemistry textbooks after he learns to keep up with Yang Yiyi's progress.
Then, in the evening, the two people verified the mastery of the knowledge points through the exercises on the textbook.
For topics that they do not know, the two will ask each other for advice and discuss with each other.
If neither of you understand, then look it up online.
However, in basic teaching materials such as advanced mathematics and big things, it is rare that two people do not understand.
In this way, every week from Monday to Friday, the two supervise each other, learn from each other, and make progress together.
Then, reward yourself with a weekend off.
However, Chen Zhou's weekends are basically used for tutoring for his uncle's cousin 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 learning.
Especially his younger brother Chen Xiao, who used to only know how to play in the summer vacation, but now he has started to read questions and read books by himself.
Chen Zhou was still very relieved, he remembered what Zhang Yifan and the others said, that a person's change will affect a group of people around him.
As time went on, advanced mathematics was finally turned to the last section by Chen Zhou.
"Section VIII, Fourier series of general periodic functions."
"2. Fourier series of periodic functions with period [-]l."
". Let the periodic function f(x) whose period is 2l satisfy 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 scratch paper while following the theorems and proof methods in the textbook.
After reading this part, Chen Zhou put aside the textbook and glanced at the content written on the scratch paper.
Then put down the scratch paper and start looking at the example problem.
The examples are simple and not difficult.
According to the previous theorem formula, it can be substituted into the derivation.
After the example questions, Chen Zhou came to the last content of this textbook.
"Second, the complex form of the Fourier series"
When Chen Zhou saw this small part of the content, he still had the * number, and he immediately became interested. The finale should be a little more difficult.
Chen Zhou took a little time to straighten out the complex form of the Fourier series.
In general, the two forms of Fourier series are essentially the same, but the complex form is more concise, and only one formula is used to calculate the coefficients.
Then there are the easy examples.
After the example problem, there are Exercises 12-8.
Chen Zhou stopped and waited to solve the exercises with Yang Yiyi in the evening, and by the way, they were faster than each other.
Looking at the time, Chen Zhou took out the second volume of "Basic Organic Chemistry" before it was time for dinner.
The chemistry textbooks are the most, and Chen Zhou spends the most time accordingly.
After dinner at noon, Chen Zhou took a nap for half an hour and was woken up by Yang Yiyi's call.
In the afternoon, the study time came, and the two began to study by themselves.
The study of Dawu textbooks also came to an end, and Chen Zhou allocated more time to the study of chemistry textbooks.
It has not been long since I left school, and I must complete my goals before school starts.
In the evening, practice time.
Chen Zhou took out the advanced mathematics textbook and started talking to Yang Yiyi.
He picked up the pen and began to solve the remaining exercises.
In addition to the exercises in the last section, there is a general exercise for the entire chapter.
The number of questions is okay, but if it is difficult, there are only two questions marked with * in the exercises in the last section.
Chen Zhou quickly solved the two questions 1 and 2 in order, and then started to do the first question marked with *.
"Let f(x) be a periodic function with a period of 2, and its expression on [-1, 1) is f(x)=e^(-x), try to expand f(x) into a complex number form Fourier series."
陈舟想了想，开始在草稿纸上写到：“函数f(x)在x≠2k+1，k=0，±1，±2处连续，则Cn=1/2l∫.=sinh1·(-1)^n·(1-nπi)/(1+(nπ))。”
Chen Zhou checked the check calculation process, um, there is no problem, plus the sum of -∞ to ∞, it's done.
"So the complex form of the Fourier series of f(x) is f(x)=sinh1"
This problem is solved, the next problem.
The only question with an *.
After reading the question, Chen Zhou thought for a while and began to solve the question on the scratch paper.
It took a little more time. Although this question is a little more difficult than the previous one, but the knowledge points are clear, so it is so-so.
The general exercises section of the last chapter remains.
Chen Zhou quickly solved all the problems, and then gave Yang Yiyi a comparison~
Yang Yiyi looked at the last question left, pouted and said, "Hmph, you won. When I'm done, let's compete with physics!"
Chen Zhou smiled happily when he saw Yang Yiyi's expression.
Yang Yiyi lowered her head and continued to do the question.
Chen Zhou took out the set of wrong questions and prepared to verify the answer.
However, before he opened the set of wrong questions, the voice of the system sounded in his mind.
"Congratulations to the host, for completing the task, mathematics is the foundation, and the foundation must be laid!"
"Completion status: The host has completed the relevant knowledge of the first and second volumes of "Advanced Mathematics" (Sixth Edition of the same university) by himself."
"Completion time: 10 days before the start of Yanjing University."
"Get the reward: 1000 natural science experience points."
"The task has been refreshed, please host to pick up the new task by yourself."
(End of this chapter)
After filling out the volunteers, Chen Zhou finally had a lot of free time.
Except for the days when he got the admission letter, the old Chen family was very lively.
In addition, there are occasional local media to interview, the rest of the time, Chen Zhou can finally devote himself to learning.
In addition to the advanced numbers, after some consideration, Chen Zhou also purchased the physics and chemistry textbooks mentioned in the two tasks that were not selected at the time.
Physics He bought the second volume of "University Physics" (Shuimu University Edition) which describes the task.
He found the chemistry textbooks on the Internet, and finally chose "Inorganic Chemistry (Fourth Edition)" (compiled by Tianda Inorganic Chemistry Teaching and Research Office) and "Basic Organic Chemistry (Third Edition)" (Higher Education Edition) Volumes [-] and [-].
Chen Zhou was going to take a look at the textbooks of physics and chemistry while learning advanced mathematics by himself.
He is not worried about time. Although the high number of tasks restricts the use of psychotropic drugs, physics and chemistry are still acceptable.
As for why I bought a new book this time, instead of going to the senior or senior to borrow it.
That is of course because the bonuses in all aspects are really too rich. After Chen Zhou's spiritual medicine, he once again experienced the feeling of getting rich overnight.
Chen Zhou even thought that if he took the college entrance examination several times, then buying a house and a car would not be a dream.
While Chen Zhou was studying advanced mathematics, big things and inorganic and organic chemistry, Yang Yiyi was also learning advanced mathematics and big things by himself.
Yang Yiyi originally chose the Yanda version of the advanced mathematics textbook, but seeing that Chen Zhou chose the sixth edition of the same university, she changed it to the same version.
Although the versions are different, the knowledge is interoperable.
Moreover, now that I have self-taught the same version of the university, after school starts, I can learn the Yanda version again, which can also play a role in comparison.
Chen Zhou put advanced mathematics in the morning, and big things and inorganic and organic chemistry in the afternoon.
Yang Yiyi is the opposite of Chen Zhou. She learns big things in the morning and high maths in the afternoon.
This is to keep the pace the same so that two people can study in sync.
Chen Zhou learned how many advanced numbers in the morning, and how much Yang Yiyi learned in the afternoon.
In the same way, as much as Yang Yiyi has learned, Chen Zhou has also learned as much.
Of course, due to the reason of psychoactive medicine, Chen Zhou will switch to chemistry textbooks after he learns to keep up with Yang Yiyi's progress.
Then, in the evening, the two people verified the mastery of the knowledge points through the exercises on the textbook.
For topics that they do not know, the two will ask each other for advice and discuss with each other.
If neither of you understand, then look it up online.
However, in basic teaching materials such as advanced mathematics and big things, it is rare that two people do not understand.
In this way, every week from Monday to Friday, the two supervise each other, learn from each other, and make progress together.
Then, reward yourself with a weekend off.
However, Chen Zhou's weekends are basically used for tutoring for his uncle's cousin 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 learning.
Especially his younger brother Chen Xiao, who used to only know how to play in the summer vacation, but now he has started to read questions and read books by himself.
Chen Zhou was still very relieved, he remembered what Zhang Yifan and the others said, that a person's change will affect a group of people around him.
As time went on, advanced mathematics was finally turned to the last section by Chen Zhou.
"Section VIII, Fourier series of general periodic functions."
"2. Fourier series of periodic functions with period [-]l."
". Let the periodic function f(x) whose period is 2l satisfy 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 scratch paper while following the theorems and proof methods in the textbook.
After reading this part, Chen Zhou put aside the textbook and glanced at the content written on the scratch paper.
Then put down the scratch paper and start looking at the example problem.
The examples are simple and not difficult.
According to the previous theorem formula, it can be substituted into the derivation.
After the example questions, Chen Zhou came to the last content of this textbook.
"Second, the complex form of the Fourier series"
When Chen Zhou saw this small part of the content, he still had the * number, and he immediately became interested. The finale should be a little more difficult.
Chen Zhou took a little time to straighten out the complex form of the Fourier series.
In general, the two forms of Fourier series are essentially the same, but the complex form is more concise, and only one formula is used to calculate the coefficients.
Then there are the easy examples.
After the example problem, there are Exercises 12-8.
Chen Zhou stopped and waited to solve the exercises with Yang Yiyi in the evening, and by the way, they were faster than each other.
Looking at the time, Chen Zhou took out the second volume of "Basic Organic Chemistry" before it was time for dinner.
The chemistry textbooks are the most, and Chen Zhou spends the most time accordingly.
After dinner at noon, Chen Zhou took a nap for half an hour and was woken up by Yang Yiyi's call.
In the afternoon, the study time came, and the two began to study by themselves.
The study of Dawu textbooks also came to an end, and Chen Zhou allocated more time to the study of chemistry textbooks.
It has not been long since I left school, and I must complete my goals before school starts.
In the evening, practice time.
Chen Zhou took out the advanced mathematics textbook and started talking to Yang Yiyi.
He picked up the pen and began to solve the remaining exercises.
In addition to the exercises in the last section, there is a general exercise for the entire chapter.
The number of questions is okay, but if it is difficult, there are only two questions marked with * in the exercises in the last section.
Chen Zhou quickly solved the two questions 1 and 2 in order, and then started to do the first question marked with *.
"Let f(x) be a periodic function with a period of 2, and its expression on [-1, 1) is f(x)=e^(-x), try to expand f(x) into a complex number form Fourier series."
陈舟想了想，开始在草稿纸上写到：“函数f(x)在x≠2k+1，k=0，±1，±2处连续，则Cn=1/2l∫.=sinh1·(-1)^n·(1-nπi)/(1+(nπ))。”
Chen Zhou checked the check calculation process, um, there is no problem, plus the sum of -∞ to ∞, it's done.
"So the complex form of the Fourier series of f(x) is f(x)=sinh1"
This problem is solved, the next problem.
The only question with an *.
After reading the question, Chen Zhou thought for a while and began to solve the question on the scratch paper.
It took a little more time. Although this question is a little more difficult than the previous one, but the knowledge points are clear, so it is so-so.
The general exercises section of the last chapter remains.
Chen Zhou quickly solved all the problems, and then gave Yang Yiyi a comparison~
Yang Yiyi looked at the last question left, pouted and said, "Hmph, you won. When I'm done, let's compete with physics!"
Chen Zhou smiled happily when he saw Yang Yiyi's expression.
Yang Yiyi lowered her head and continued to do the question.
Chen Zhou took out the set of wrong questions and prepared to verify the answer.
However, before he opened the set of wrong questions, the voice of the system sounded in his mind.
"Congratulations to the host, for completing the task, mathematics is the foundation, and the foundation must be laid!"
"Completion status: The host has completed the relevant knowledge of the first and second volumes of "Advanced Mathematics" (Sixth Edition of the same university) by himself."
"Completion time: 10 days before the start of Yanjing University."
"Get the reward: 1000 natural science experience points."
"The task has been refreshed, please host to pick up the new task by yourself."
(End of this chapter)
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