From small town academic to chief scientist

Even though it was New Year's Day, there were extremely many people at Huadong Normal University.

Zhou Yi guessed that it might be the end of the period.

Under the leadership of Tang Menghua, Zhou Yi quickly found his examination room.

After a rigorous inspection, Zhou Yi successfully reached his seat in the examination room.

Quietly waiting for the start of the game.

In the finals of the National College Student Mathematics Competition, only 600 people were selected from 220,000 people to participate in the finals.

Among them, there are 300 mathematics majors and 300 non-mathematics majors. The non-mathematics majors who can sit here and participate in the finals,

They are all elite academics in various majors.

Any resume can shock everyone.

Of course, there are also people who are purely interested in mathematics.

The 300 people majoring in mathematics basically represent all the elite mathematics students in the country from freshman to senior year.

In domestic subject competitions, there are so many participating universities and the influence is unparalleled. It has become truly the number one subject competition in the country and is full of gold content.

For participating students, the preliminary rounds (preliminaries), including on-campus and provincial trials, are mainly to promote the understanding and mastery of basic college mathematics knowledge and the cultivation of mathematical abilities.

It serves the purpose of enhancing interest in learning mathematics, supervising the study of mathematics, and at the same time selecting contestants for the finals.

The finals are more about discovering and selecting mathematical innovative talents and talents with applied mathematics and mathematical development potential. Both stages provide participating students with a stage to display basic knowledge and thinking ability.

Among them, the content and proportion of the non-mathematical final exams are roughly as follows: advanced mathematics accounts for 80%, and linear algebra accounts for 20%.

The final examination papers for mathematics majors are divided into two categories:

The first category is freshmen and sophomore students. That is to say, for the lower grade group, the test content is based on the content tested in the preliminaries and adds ordinary differential equations, which accounts for about 15% of the total score.

The second category is students in their junior year and above, that is, the senior group.

The examination content is based on the examination content for sophomore students, and adds functions of real variables, functions of complex variables, abstract algebra, numerical analysis, differential geometry, probability theory, etc.

Candidates will choose to take exam questions from three of the courses, and the new content will not account for more than 50% of the total score.

Zhou Yi is currently participating in the second category, the senior group.

Among the senior group, there were 5 perfect scores in the preliminary round, including Zhao Ruinan from Beijing University, Xiao Wanyi from Huadong Normal University,

The sloppy guy and the tuxedo guy from Chang'an Jiaotong University.

Everyone basically knows the level of the five people, and they are all about the same strength.

I originally thought that Zhao Ruinan from Beijing University would outshine the rest, but as a result, the competition intensity in the senior group was no lower than that in the lower class.

The sloppy strong man is from Aurora University. This competition is really a competition among the best, especially Aurora University. Not only the senior group sent big guys,

The lower grade group also sent out senior leaders,

Otherwise, I just want to have a chance to gain Peking University's supreme position in the undergraduate mathematics circle of Daxia.

Although it is three hills away, the number one among Chinese mathematics schools is still Peking University.

But what Aurora University didn't expect was that Xiao Wanyi from Huadong Normal University and Zhou Yi from Chongqing University turned out to be two hidden dark horses.

So this final was very intense.

Whoever wins the championship will be the first person in mathematics from freshman to senior year in colleges and universities across the country.

The statement is a bit exaggerated, but it is true.

The competition has started. Zhou Yi took the test paper and browsed it first.

There are ten questions in total. Questions 1 to 4 are mandatory questions, which are the contents of advanced analytic geometry with fractions.

Questions 5 to 10 are optional questions. Choose three questions from the six questions and fill in the question number at the beginning of the test paper.

These six major questions include probability theory, ordinary differential calculus, real variable functions, abstract algebra (modern algebra), etc.

All answers to the big questions must be written on the standard answer sheet. No points will be awarded if written on the test paper.

If there is not enough space for the big question, you can also write it directly on the back. You only need to mark the question number.

By coincidence, the boy in the tuxedo who had spoken harsh words to Zhou Yi was in the same examination room as Xiao Wanyi and Zhou Yi.

However, Zhou Yi didn't notice them at all, but concentrated on solving the problem.

The first big question was a fill-in-the-blank question, which surprised Zhou Yi. There was also a fill-in-the-blank question in the finals.

There are four fill-in-the-blank questions, two on mathematical analysis, and two on advanced algebra.

The difficulty of the questions is not the same level as that of the preliminary round. It is deeper, more detailed, requires more calculations, and even the ideas are more difficult.

For Zhou Yi, there is no difficulty at all, just start writing.

The test papers placed on the table and the aggressive sound of the pen made the twenty-nine candidates in the examination room feel nervous.

The legend is true. This great guy really doesn’t need to think when he does the questions, he just picks up his pen and does it.

This is the final test question, not the preliminary round. Can you respect us? It makes us look bad.

Everyone was numb in their hearts, but they quickly calmed down and began to think.

Even if you lose, you must lose standing instead of surrendering on your knees.

Zhou Yi finished the four small questions of the first big question in one go without any hesitation.

Many people present also solved a small question, and some were doing the second small question of the first big question.

For example, Xiao Wanyi.

But they also knew that Zhou Yi had already finished the first big question.

Because Zhou Yi was the first and only person in the examination room to turn over the test papers.

This move all means that Zhou Yi is telling them that I have finished the first big question in Zhou Yi.

Less than eight minutes had passed.

Cogito ergo my food?

Okay, okay, my food is ready.

I remember that they dominated the opponents in the same examination room in the preliminary round. They looked so high-spirited and happy at that time, but now they feel so uncomfortable.

I never expected that during the finals, I would be dominated by others.

Where can this leave them to reason with?

They are all elites who were killed out of 220,000 people. They didn't expect to be ruthlessly crushed here.

It took less than ten seconds to turn the page and read the questions, and Zhou Yi's pen began to move again.

The boy in the tuxedo felt a little numb at the moment. It took him eight minutes to figure out the second solution to the first big question, and Zhou Yi had already started to write the second big question.

Thinking of how he had ridiculed others for no good reason before, now he wanted to die.

But fortunately, everyone here is a strong person who has advanced from the preliminary round to the final with thousands of troops, and the mentality has been adjusted quickly.

Endure the fear of being dominated by the boss and forcefully think about the topic.

The second big question is about analytic geometry. There are two small questions.

The topics are as follows:

[Given a circle C on the yOz plane, y=√3+cosθ, z=1+sinθ, θ∈[0, 2π], ask:

1. Find the implicit equation of the torus S obtained by rotating C around the z-axis;

2. Assume z_0≥0, the difference between the half vertex angles of the two cones S_1 and S_2 with M (0, 0, z_o) as the vertex is π/3, and both are tangent to the torus S (each busbar is Tangent to the torus), find the implicit equations of z and S_1, S_2. 】

Although Zhou Yi knew the idea after reading the title, the process was extremely complicated.

Without a very deep understanding of analytic geometry, it is difficult to answer this question, especially the second question.

The first question is a question for giving points, but the second question is very difficult.

If your spatial imagination is a bit poor, or if the image is drawn incorrectly during the transition from three-dimensional graphics to two-dimensional graphics, you may not get a single point.

Compared to the analytic geometry questions in the preliminary round, they pale into insignificance.

It's not a level at all.

The answer should not be written in a hurry, it would take more than one page.

No wonder it prompts people to write on the back if there is not enough space.