Start as a top student and move towards the stars and the sea

Of course, in front of the former commander, Ning Chen would not reveal the secret of the system in his mind.

Actually, I didn't deliberately resist playing with my phone at all, because for me, studying is much more interesting than playing with my phone. Marshal Yuan, you have to learn to feel the fun of learning instead of deliberately forcing yourself to study. Remember. ,Interest is always the best teacher...

Listening to Ning Chen's words, Marshal Yuan couldn't help but nod, as if he had found his own motto in life.

Ning Chen, what you said is really good. I always feel that you have become much more mature than when you first started school, as if you are not in the same age group as us at all.

Ning Chen was stunned when he heard this. After all, in his eighteen-year-old body, there lived a thirty-year-old soul.

Actually, growth happens in an instant. When you understand those principles, you will naturally become mature.

Ning Chen quickly made a few casual remarks and changed the topic.

The former commander didn't think much about it, he just felt that what Ning Chen said was very reasonable, and secretly set a goal to continue to learn from Ning Chen.

…

Time passed day by day, and Ning Chen continued his monotonous study life every day.

After improving his learning efficiency, Ning Chen can improve his mathematics experience by at least 1 point every day.

On the other hand, Ning Chen's energy points were also slowly growing.

Although you can only get a few tenths of energy every day, when accumulated, it is also a good income.

Whenever the energy points meet the conditions, Ning Chen will use the energy points to improve his mental index, which puts Ning Chen's learning path into a virtuous cycle.

At noon that day, Ning Chen and others were eating in the cafeteria of the first dormitory and happened to bump into He Sheng.

Hello teacher!

He Sheng looked up and recognized the four Ning Chen students as his students.

Of course, except for Ning Chen, He Sheng could not call anyone else's name.

Hello!

After saying hello, Ning Chen and the others were about to leave, but He Sheng continued:

Ning Chen, have you started reading the books I recommended to you recently?

He Sheng only asked tentatively. Although Ning Chen was very outstanding among the three material classes, he probably didn't have much time to learn other knowledge.

Ning Chen was thinking about how to answer when Chen Tianpeng said first:

We went to the library with Ning Chen that day. Ning Chen borrowed more than ten books on mathematics at once. Now Ning Chen has almost learned it.

What Chen Tianpeng said is true, because Ning Chen just returned the books he borrowed with Chen Tianpeng's library card a few days ago, leaving only a few books he borrowed that he has not finished yet.

He Sheng was also stunned when he heard Chen Tianpeng's words.

Really, you learn so fast? This semester I am also teaching mathematical analysis classes for mathematics majors. Ning Chen, if you have time, you can come over and listen. It's okay.

It's not that He Sheng doesn't believe in Ning Chen's learning results, it's just that He Sheng feels that learning these courses on his own will inevitably encounter some problems. This is also He Sheng's good intention.

Okay, I'll definitely come over when I have time.

Ning Chen also wanted to experience what the mathematics major class was like, so he agreed.

Are you free for the first class this afternoon?

Ning Chen looked at the class schedule and made sure he had time for the first period in the afternoon.

Teacher, which classroom do you teach in when you have time?

Room 304, Teaching Building No. 1, see you in the afternoon.

This was the first time that He Sheng took the initiative to invite a student to observe his class. He Sheng himself was not sure why he took such initiative.

Perhaps this is the feeling that a good teacher feels when he meets a student he likes.

After returning to the dormitory and taking a brief nap, Ning Chen came to No. 1 Teaching Building 304 early and sat in the last row of seats.

As an auditor, Ning Chen was naturally embarrassed to sit in the front seat.

Since Ning Chen had already returned the book Mathematical Analysis after studying it on his own, Ning Chen didn't even bring the textbook for this class.

However, Ning Chen felt that this did not matter, because Ning Chen had already gone through all the knowledge points in the book and every question, and there would be no omissions.

After 1:30 in the afternoon, students came to the classroom one after another.

Every student who came in was stunned when they saw Ning Chen, because it was the first time for them to see Ning Chen's face.

Which class is this person from? Why haven't I seen him before?

Maybe you're here for self-study. I didn't know there was a class in this classroom. I should be leaving soon.

Maybe they are students who failed last year and retaken the course. I heard that the failure rate for this course is quite high.

Ning Chen ignored other people's comments and focused on his own study.

At two o'clock in the afternoon, He Sheng entered the classroom on time.

Glancing around the podium, He Sheng saw Ning Chen sitting in the last row of the classroom.

He Sheng was very happy that Ning Chen could come to his class as scheduled.

Of course, He Sheng didn't really expect Ning Chen to reach the level of a mathematics major.

As long as Ning Chen can understand his class, he is already very good.

In the first hour of class, Ning Chen easily followed He Sheng's ideas and was even able to free up some of his energy to work on other topics.

During the break, He Sheng asked Ning Chen:

How about it? It's your first time to observe mathematical analysis. Can you keep up?

Ning Chen said in his heart that He Sheng's lecture speed could be faster, but Ning Chen still said:

Well, I can still keep up.

That's good. If you can adapt to the mathematics major courses, you can really consider switching to the mathematics major in the future.

Okay, I will seriously consider it. Ning Chen said.

In the second half of the class, He Sheng began to explain some expanded content.

Some of the questions He Sheng asked were not found in books, which made Ning Chen also interested and picked up the pen to start working on it.

For every question, Ning Chen was able to solve it easily. Of course, the mathematics majors also performed very well and actively answered the questions raised by He Sheng.

It seems that these questions are not difficult for you. Finally, I will give you a more difficult question. This is a postgraduate entrance examination question on mathematical analysis in a certain university. Students who have completed it can raise their hands and tell me.

When they heard that this was a question for the postgraduate entrance examination, the students present frowned. Such a difficult question was still a bit difficult for freshman students.

Sure enough, when He Sheng projected the question on the big screen, everyone had painful expressions on their faces.

Suppose f(x)=sin(a1x)+ sin(a2x)+ sin(a3x), a1, a2, a3\u003e0. Proof: There is a sequence {tn} such that lim(n→∞)tn=+∞ and lim(n→∞)f(x=tn)=f(x) holds consistently for x∈R.”