Chapter 009: Learning Brings Joy

I initially studied applied mathematics before switching to education. It wasn't until my second year that I truly understood this issue. Shen Qi, you should return to the classroom first and come find me at noon. Additionally, I must remind you not to focus all your energy solely on mathematics. Are you not going to study Chinese? What about English? I am your mathematics teacher and also your homeroom teacher, and I can responsibly tell you that the college entrance examination will not only test mathematics.

The system flashed a line of text: "The host received guidance from experts in the field of mathematics, gaining new professional skills, and scholar points + 100"

The host self-studied "Mathematical Analysis" for 3 hours, and the top student earned +10 points

Zhang Wanbang's explanations of high school mathematics in class can no longer provide Shen Qi with even a single point of academic merit

Deducting 3000 points of academic excellence, the host's mathematics indicator rises to level 3

Now I will tell you the most concise approach to the Jordan canonical form, let J = XXXX......

100 points! So spicy! Shen Qi jumped up excitedly, Teacher Zhang, you are truly remarkable. You impart knowledge to me and help me accumulate scholar points. In summary, it can be expressed in four words: the grace of a teacher is like a mountain

To advance from Mathematics Level 2 to Mathematics Level 3, 3000 Scholar Points are required

I am unable to extricate myself from my obsession with mathematics, what should I do

Outside the classroom, Zhang Wanbang is a mentor to Shen Qi, imparting more profound mathematical knowledge

After a basketball game, Shen Qi, Xu Rui, and Hao Ruchu enjoyed ice-cold cola outside the school convenience store, feeling relaxed

Upon calculation, within a maximum of 4 months, Shen Qi will be able to accumulate 15,000 academic points, and certainly before graduating from high school, he will be able to elevate his mathematics score to level 5.

The determinant and the matrix are entirely a reform in mathematical language, and you, Shen Qi, must deeply understand this point in order to make significant contributions in algebra

Shen Qi absorbed and digested the five questions from yesterday, designating this "confidential document" as "Internal Reference 1" and storing it in his backpack

Oh, I understand

Shen Qi returned to the classroom, took out "Advanced Algebra" and continued to delve into it, missing yet another language class.

Age, 17

3. Geography Level 0 (0 / 100)

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

The host did not pay attention in the Chinese class, gaining 0 scholar points. However, the host solved a math problem during the Chinese class, gaining 5 scholar points

Mathematics differs from other natural sciences in that this discipline cannot validate theoretical hypotheses through experimental equipment

It seems you have encountered some obstacles. Zhang Wanbang quickly glanced over the answer sheet, and it was within his expectations that Shen Qi faced difficulties

April was a month of rapid progress for Shen Qi

Shen Qi has a stable daily income of 100 plus academic points, and 15,000 academic points can be obtained within a foreseeable period.

To advance from Level 3 to Level 5 in mathematics, a total of 15,000 Scholar Points is required

Indeed, Teacher Zhang, since matrices are derived from determinants, what exactly is the use of quaternions? I pondered over it for an entire night and still couldn't figure it out. In fact, I just guessed the last three questions.

The next morning, Shen Qi arrived at Zhang Wanbang's office and submitted the answer sheet to Zhang Wanbang

After school at noon, Shen Qi once again arrived at Zhang Wanbang's office

3. Political Level 0 (0/100)

Mathematical experiments primarily rely on mental visualization. After thoroughly understanding and comprehending various theories and concepts, proficiency is enhanced through derivation, proof, and hypothesis.

The host received guidance from experts in the field of mathematics, gaining new professional skills, and earned 100 points as a top student

System, I want to upgrade the mathematical indicator to level 3

These cannot be learned from textbooks, at least not as specifically, focused, and targeted as Zhang Wanbang's annotations

The channel with the greatest contribution is "receiving guidance from experts in the field of mathematics," specifically the extracurricular interactions between Shen Qi and Zhang Wanbang

Although mathematics may superficially appear to be merely a language or a tool, its most vivid concepts can provide keys to new realms of thought

The system conducted a ranking of subjects, with Shen Qi's mathematics indicator leading significantly at level 3, the sports indicator ranking second at level 1, and the remaining eight subjects all tied for third place at level 0

1. Mathematics Level 3 (0 / 5000)

Although advanced algebra is abstract, it is ultimately an introductory course in mathematics. Even if one cannot fully comprehend those abstract concepts, one can still manage to follow the patterns through rote memorization.

Zhang Wanbang gave him two sheets of paper, one containing the review of five questions from yesterday, and the other a blank sheet on which five new questions were written

After returning to the classroom, Xu Rui was no longer radiant; the honeyed dominance had vanished, replaced by a lackluster demeanor

Shen Qi's schedule is very full, and he earns a stable income of 120 to 130 academic points every day

Host, Shen Qi

For the next two weeks, Shen Qi's routine consisted of visiting Zhang Wanbang's office once each in the morning and at noon to deliver the "internal reference"

3, Biology Level 0 (0 / 100)

Question 4, f(λ) = (λ - λ1) ^ k1 (λ - λ2) ^ k2 ... (λ - λi) ^ ki, I did not witness your problem-solving process firsthand, but I can say with certainty that you are rigidly applying the Jordan canonical form

Yesterday, Zhang Wanbang reviewed the five questions and left comments in the blank spaces of the answer sheet

... ...

2, Physical Education Level 1 (0 / 1000)

Shen Qi has not forgotten the mathematical problems left to him by Zhang Wanbang, and there are still three problems yet to be solved. The difficulty of these three problems has further increased, requiring a comprehensive application of the concepts of the Frobenius rank of matrices, Laplace's theorem, Cramer's rule, as well as the inferences proposed later by Fourier and Poincaré. This involves the theoretical system of infinite-order matrices.

3. History Level 0 (0 / 100)

Shen Qi understood instantly, the bottleneck that had troubled him for over a week was suddenly broken through: "So that's how it is, so that's how it is! Teacher Zhang's writings are all essence, I have benefited immensely!"

Levels 2 and 3 are both defined by the system as advanced levels, which can be understood as junior advancement and intermediate advancement

3. English Level 0 (0/100)

3. Chinese Language Level 0 (0 / 100)

Next, Shen Qi began to study "Internal Reference 2", which consists of the 5 questions released today by Zhang Wanbang

The significance of mathematics lies in its ability to solve the most complex problems in the simplest and most efficient manner

However, in the more specialized field of mathematics, Zhang Wanbang consistently provides 100 academic excellence points to Shen Qi every day

However, if you can rigidly apply the correct answer, it proves that you have some skills; at the very least, you understand how to explore the methods. However, this method is not the simplest one.

Remaining academic points: 1205

The host engaged in 1 hour of physical exercise such as running and playing ball, earning 1 academic point.

Shen Qi struggled to follow the routine, working tirelessly until 10 PM, and finally completed the answers to the last three questions

For Shen Qi, Zhang Wanbang has two identities. In the classroom, Zhang Wanbang is an ordinary mathematics teacher who explains high school mathematics concepts

... ...

Under the influence of the "Master-Apprentice Model," Shen Qi's practical mathematics skills have further improved. His series of "Internal References" has now reached "Internal Reference 15," and his research scope has expanded to include areas such as indefinite integrals, Fourier series, double-leaf rotating hyperboloids, and ellipsoids, covering several branches including advanced algebra, differential calculus, and analytical geometry. Shen Qi should also be able to pass the professional examinations for the first and second years of the mathematics department.

3, Physics Level 0 (0 / 100)

Zhang Wanbang's annotations on the answer sheet are a distillation of the essence of his lifelong learning. He interprets the most fundamental mathematical ideas and techniques within a limited space, guiding Shen Qi.

By April 20, Shen Qi had accumulated 4,205 Scholar Points: "Finally, I can level up again"

The host attentively listened to a physics class, earning 1 point for academic excellence

Question 3, you have misunderstood the Frobenius characteristic equation. Remember, the minimal polynomial is the polynomial of the lowest degree that the matrix satisfies, and it possesses uniqueness

3, Chemistry Level 0 (0 / 100)