A basketball game made Shen Qi and Xu Rui reconcile as before. The two of them drank ice coke outside the school store, feeling comfortable.

After returning to the classroom, Xu Rui no longer had the energy to show off, and his domineeringness disappeared, and instead he was listless.

Shen Qi did not forget the math problems left to him by Zhang Wanbang. There were still three questions that were not solved yet. The difficulty of these three questions further deepened, and it was necessary to comprehensively apply the concept of Frobenius matrix rank, Laplace's theorem, Clem's law, and the subsequent inferences proposed by Fourier and Poincaré, which involves the theoretical system of infinite order matrix.

Although the high generation is abstract, it is an introductory course in the mathematics department after all. Even if you cannot fully understand those abstract concepts, you can barely follow the routine by relying on rote memorization.

Shen Qi struggled to follow the routine until 10 o'clock in the evening and finally completed the answers to the last three questions.

The next morning, Shen Qi came to Zhang Wanbang's office and handed the answer sheet to Zhang Wanbang.

"It seems you have encountered some obstacles." Zhang Wanbang took the answer sheet and browsed it quickly. Shen Qi encountered obstacles as he expected.

"Yes, Teacher Zhang, since the matrix is ​​derived from the determinant, what's the use of quaternions? I thought about it for a night but couldn't figure it out. Actually, I was confused about the last three questions."

"I learned applied mathematics first and then transferred to a normal school. I didn't understand this problem until my sophomore year. Shen Qi, please go back to the classroom first and come to me at noon. In addition, I must remind you not to focus all your energy on mathematics. If you don't learn Chinese, you don't want English? I am your math teacher and your class teacher. I can tell you very responsibly that the college entrance examination will not only take one course in mathematics."

"Oh, I got it."

Shen Qi returned to the classroom and took out "Advanced Algebra" to continue studying, but he didn't listen to the Chinese class.

"I am addicted to mathematics and can't extricate myself. How can I break it?"

After school at noon, Shen Qi came to Zhang Wanbang's office again.

Zhang Wanbang gave him two pieces of paper, one of which was reviewing the five questions yesterday, and the other one wrote the five new questions on white paper.

After lunch, Shen Qi began to study these two topics.

Zhang Wanbang reviewed the five questions yesterday and left comments on the blank space on the answer sheet:

“While math is just a language or tool on the surface, most of its vivid concepts can provide the key to new areas of thought.”

"Defaults and matrices are completely reforms in mathematical language. Shen Qi, you must deeply understand this in order to make a difference in algebra."

"The third question, you misunderstood the Frobenius feature equation. Remember that the minimum polynomial, that is, the polynomial that meets the lowest number of times, has uniqueness."

"Question 4, f(λ)=(λ-λ1)^k1(λ-λ2)^k2...(λ-λi)^ki, I have not witnessed your problem-solving process with my own eyes, but I can say with certainty that you are copying and using it as a standard type."

"But you can copy the correct answers and prove that you have some tricks. At least you know how to explore routines, but this routine is not the simplest routine."

"The meaning of mathematics is to solve the most complex problems in the simplest and most efficient way."

"Now I will tell you the simplest routine of the standard type, let J=XXXX..."

...

Zhang Wanbang's annotations on the answer sheet are the essence of what he has learned throughout his life. He used his limited space to interpret the most core mathematical ideas and techniques, and he was guiding Shen Qi.

This cannot be learned in textbooks, at least it is not as specific, focused, and targeted as Zhang Wanbang's annotations.

Shen Qi understood in seconds, and the bottleneck that had troubled him for more than a week instantly broke through: "So that's it, so that's it! Teacher Zhang's writing is full of the essence and benefits a lot!"

A line of text flashed out of the system: "The host got guidance from experts in the field of mathematics, understood new professional skills, and earned a top score +100."

"100 points! So much hot!" Shen Qi jumped up excitedly, Teacher Zhang, you are a master. Teach me knowledge and help me get points for top students. Thousands of words are summarized into four words: Teachers’ kindness is like a mountain.

Shen Qi absorbed and digested the five questions from yesterday, numbered this "secret volume" as "Inner Reference 1" and collected it in his schoolbag.

Next, Shen Qi began to study "Inner Reference 2", namely the 5 questions Zhang Wanbang gave today.

Mathematics is different from other natural sciences, and this discipline cannot verify theoretical hypotheses through experimental equipment.

Mathematical experiments mainly rely on brain-study. After fully understanding various theories and concepts, they can improve their proficiency through derivation, proof, hypothesis, etc.

In the next two weeks, Shen Qi's daily life was to go to Zhang Wanbang's office once every morning and noon to deliver the "inner reference".

For Shen Qi, Zhang Wanbang has two identities. In class, Zhang Wanbang is an ordinary mathematics teacher who explains high school mathematics knowledge points.

Outside the classroom, Zhang Wanbang was a "expert" who taught Shen Qi, who spreads deeper mathematical knowledge.

"The host listens carefully to a physics class, and the top student points will be +1."

"The host did not listen carefully to the Chinese class, and the top scored +0. But the host solved a math problem in the Chinese class, and the top scored +5."

"The host performed 1 hour of running, playing ball and other physical exercises, and the top scored +1."

"The host has received guidance from experts in the field of mathematics, has learned new professional skills, and has a top score of +100."

"The host will study "Mathematical Analysis" for 3 hours, and the top scores will be +10."

...

Shen Qi's time ranks very much, and he earns 120 to 130 points a day to earn points.

Among them, the channel with the greatest contribution is "geting guidance from experts in the field of mathematics", that is, the extracurricular interaction between Shen Qi and Zhang Wanbang.

Zhang Wanbang explained high school mathematics in class, but he could no longer provide Shen Qi with even 1 point of academic master's points.

However, in the more professional field of mathematics, Zhang Wanbang steadily provides 100 academic points to Shen Qi every day.

Driven by the "master-apprentice mode", Shen Qi's practical mathematical ability has been further improved. His "internal reference" series has been collected in "internal reference 15", and the research scope has been expanded to fields such as uncertain integral, Fourier series, double-leaf rotating hyperbolic surface, ellipsoidal surface, etc., covering higher generations, numerical scores, solution and other branches. Shen Qi is now taking the professional exam of the first and second year of the mathematics department, and he should not fail the subject.

April was a month of rapid progress for Shen Qi.

On April 20, Shen Qi saved 4,205 points of academic master points: "Finally, we can upgrade again."

Mathematics Level 2 to Mathematics Level 3 require 3,000 points of academic master points.

"System, I want to upgrade to level 3."

"After deducting 3,000 points of academic master's points, the host's mathematical index will be upgraded to level 3."

Level 2 and level 3 are both defined as advanced by the system, which can be understood as primary and intermediate levels.

Host, Shen Qi

Age, 17

1, Mathematics Level 3 (0/5000)

2, Sports Level 1 (0/1000)

3. Chinese Level 0 (0/100)

3, English Level 0 (0/100)

3, Physical level 0 (0/100)

3, Chemical grade 0 (0/100)

3, Biological Level 0 (0/100)

3, History Level 0 (0/100)

3. Geography level 0 (0/100)

3, Political Level 0 (0/100)

The points of the top scholars: 1205

The subject rankings were systematically carried out. Shen Qi's mathematical indicators were far ahead at level 3, the sports indicators ranked second at level 1, and the other eight disciplines were tied for third at level 0.

To upgrade to level 3 of mathematics, you need a total of 15,000 points of academic master points.

Shen Qi earns 100+ points for academic top students every day, and 15,000 points for academic top students can be obtained within a foreseeable time.
Chapter completed!