The Study Culture in Your Class Needs Straightening Out
Some college students might find it strange that while they don't understand what their classmates are saying, others are praising it highly and saying they benefited greatly.
Why can't I understand the same textbook, while some people can read it quickly?
What's even more infuriating is that we all have 24 hours in a day, so why do some people not only finish studying the textbook but also learn a lot of knowledge outside of it on their own? Where do they find so much time?
Why is this happening?
That's not scientific.
"Some students might think that my lecture jumps too far, like how I suddenly jumped to the problem of symmetry in surface integrals of the second kind?" Professor Lu said while erasing the blackboard. "Of course, I have my own teaching approach, and you will see it in the future."
"No, it's not possible." A student in the audience muttered quietly.
"I've only had two lessons in Mathematics, and I already want to give up," one student said pessimistically.
The Mathematics Department students were better; most of them could follow Professor Lu's train of thought.
Most students in the Department of Scientific and Engineering Computing were completely bewildered throughout the entire class.
Suddenly, a male student from the Department of Scientific and Engineering Computing spoke up, "Shen Qi's algorithm is fine, but it's a bit complicated. I have a simpler algorithm, but I don't know if I should share it?"
Wow, the Department of Scientific and Engineering Computing actually has some experts?
The Mathematics Department students all looked at the boy. "Wow, bro, you dare to challenge even Shen Qi, our class's show-off expert. Looks like you're a show-off yourself."
Shen Qi smiled as he sized up the boy who had started the trouble. The boy with small eyes was also smiling. The two exchanged a knowing glance. "Heh, come on, let's hurt each other."
The male student from the Department of Science and Engineering Computing was always smiling. His eyes were particularly small, and when he smiled, they narrowed into slits, making it difficult for others to see his pupils. What they could see were two lines above his nose, representing his eyes.
Actually, this is what the small-eyed boy looks like. He might not be smiling, but his facial features together give the impression that he's always smiling. His face shape and features are roughly like this:
(￣▽￣)
"You can talk about anything in my class, as long as it's related to math." Professor Lu, having finished erasing half the blackboard, turned to the small-eyed boy and said, "Shao Tiantian, then tell me your algorithm logic and core ideas."
Shao Tiantian said, "Professor Lu, I'll go up and write it down. It'll be quick, I'll be done in a bit."
Professor Lu agreed, "Okay, come up here."
There is certainly more than one algorithm for calculating multiple integrals. Shao Tiantian went up to the stage, picked up the chalk, and wrote his algorithm process on the blackboard.
Shen Qi knew Shao Tiantian; they had met a few times in the past month or so. Shao Tiantian was the class monitor of the Department of Scientific and Engineering Computing.
According to Shao Tiantian's account, he won math competitions so many times during elementary and junior high school that he felt no joy in winning and even developed a sense of fatigue towards mathematics.
Shao Tiantian didn't study math seriously during his three years of high school, yet he still got into the Big Mathematics Department at Peking University... The authenticity of this oral account needs further verification. According to Shen Qi, Shao Tiantian's oral autobiography is similar to a historical novel, seven parts fact and three parts fiction. If you think he's bragging, he can also provide some solid facts.
The blackboard originally contained Shen Qi's solution process, but Professor Lu erased half of it, leaving the empty space for Shao Tiantian.
Swish swish swish!
Shao Tiantian wielded his pen with lightning speed, displaying his skill on the stage of half a blackboard.
He used the Integral Mean Value Theorem, the most basic mathematical analysis technique.
"Integral Mean Value Theorem, hehe, that's interesting." Shen Qi maintained a highly attentive attitude, watching Shao Tiantian's every move.
"Squad Leader Shao, keep writing! Don't make any mistakes!" The students from the Department of Science and Engineering Computing cheered for Shao Tiantian. They had all heard of Shen Qi's reputation, and Shen Qi had just demonstrated a level of skill worthy of his name.
Among a group of weaklings, Shao Tiantian stepped forward and single-handedly carried the banner of the Department of Scientific and Engineering Computing.
"Squad Leader Shao, you are a lone hero! We support you! The banner of the Department of Science and Engineering Computing will never fall!" The students of the Department of Science and Engineering Computing were all deeply moved and inspired.
"Hehehe, this is so much fun." Zhou Yu'an kept rubbing his hands together, extremely excited. He could enjoy the amazing Beijing Fashion Show again. If only he had a bag of sunflower seeds right now, it would be perfect. It is said that sunflower seeds and fashion shows go together even better.
"Whose side are you on in this duel between the two class monitors?" Zhou Yu'an asked Ou Ye, who was sitting next to him. He had arrived late, and there were no seats left in the classroom except for the empty seat next to Ou Ye in the back row, so Zhou Yu'an sat down next to Ou Ye.
Ou Ye simply said two words: "Boring."
"Calculation Ji, chatting with you is really boring." Zhou Yu'an liked sitting next to Shen Qi the most, but unfortunately she arrived late and could only make do with Ou Ye for one class.
Then Ou Ye added a few words: "He's alright."
"He's alright? Who is he? Shen Qi or Shao Tiantian?" No matter how Zhou Yu'an pressed her for answers, Ou Ye remained silent. She stopped looking at the blackboard and instead focused on her own tasks, working on a bunch of complex numbers and symbols in her notebook.
Zhou Yu'an looked at the blackboard. Shao Tiantian used the Integral Mean Value Theorem to perform some basic processing and preparation, and then made a break in the Riemann -Dab sense.
"Wow, wow, Shao Tiantian's handling skills in the Riemann -Dabb sense are something I never expected. He's got some skills!" Zhou Yu'an looked excitedly at Shen Qi's position in the front row. "Boss Shen, come out and suppress this! Someone's rebelling! This person has some strength; it's a technical rebellion, not to be underestimated."
Shen Qi understood Shao Tiantian's line of thought. Overall, there wasn't a big problem. Shao Tiantian's algorithm was slightly simpler than his, but there was nothing to brag about, and we weren't in a hurry.
Soon, Shao Tiantian finished writing his algorithm and calculated the answer as -8π, the same as Shen Qi's answer.
Shen Qi used almost an entire blackboard to solve for -8π, while Shao Tiantian accomplished the same task using only half a blackboard.
Two different handwriting styles were left on the blackboard, displaying two quite different algorithms. However, they both arrived at the same conclusion. Regardless of whether the algorithm was complex or simple, Shen Qi and Shao Tiantian's calculations were correct.
Shao Tiantian explained the principles and methods behind his algorithm, then glanced at Shen Qi before stepping down from the stage.
Slap slap
Professor Lu clapped twice. "Shao Tiantian's approach was quite ingenious, achieving great results with minimal effort, bypassing a lot of calculations to arrive at the answer directly. I strongly encourage students to exchange ideas in class; the collision of ideas will inevitably produce great miracles."
"Wow, Squad Leader Shao, that's amazing! You actually have that kind of skill?" The students in the Department of Science and Engineering Computing were all full of admiration for Shao Tiantian, genuinely praising him. "Old Shao, that's simply divine!"
Shao Tiantian smiled slightly without saying a word, his eyes crinkling into double integrals in the Riemann -Dabb sense.
Seeing this, Shen Qi shook his head and sighed. "You call this amazing? Have you ever seen anything truly amazing? The study atmosphere in your class needs to be rectified, Lao Shao. You have a lot of responsibility."