Chapter 115: Counting Points
There are several basic compulsory courses for mathematics majors in the freshman and sophomore years, such as Mathematics I to Mathematics III, Advanced Algebra, Analytic Geometry, Abstract Algebra, College Physics, and so on.
The major of science and engineering computing is not a computer major, it can be understood as computational mathematics, which uses the theories and methods of modern mathematics to solve various engineering problems, which is a very applied major.
After graduation, students in this major have a wide range of employment, such as aerospace, radio, remote sensing, architectural design, national defense and military industry, chemical metallurgy, machinery manufacturing, ...... It's OK to go to any industry, as long as it's related to engineering
Mathematics students leave campus or academic frontline, and finding a job is a little more difficult.
But does it matter?
Is studying mathematics just to get a good job after graduation, buy a house, buy a car, and marry a daughter-in-law?
"Of course not. On the podium, the professor of the division class said firmly, the hair on his head was not thick, and the criss-crossing folds of his forehead highlighted his wisdom.
"I don't care what major you are in, you must remember to me that mathematics is not a tool for making a living, but a great art. "Professor Lu of the Mathematics Division Course is explaining the Mathematics I, the light-colored leather Mathematics Textbook, and the textbook produced by the Yan University Mathematics Institute.
Most of the mathematics textbooks commonly used in mathematics majors in other universities in China are two kinds of blue papers, namely Fudan University's Mathematics Score Upper and Lower Volumes and East China Normal Mathematics Textbooks, both of which have blue covers.
The textbooks published by Yan University and Mizuki University are different from them, and the shallow version of the textbooks is a set of three volumes, Mathematics I, Mathematics II, and Mathematics III. Mizuki's yellow version of the textbook is also three volumes.
Mathematics students don't study advanced mathematics, too lo, and math is a headache for math students when they first get started.
"Mathematical Analysis, can anyone tell me what is the significance of setting up this course?" Professor Lu looked around the audience, not giving the students a chance to answer, and he asked himself very quickly: "The easiest and most effective way to understand the ultimate meaning of mathematics is to ...... Let's do a few questions first. ”
"Come again! Just start school!" the students in the audience wanted to cry without tears.
These professors in the School of Mathematics are all in the same style, Professor Gao Dai, Professor Xie Ji, and Professor Shufen, their teaching plans must have the same sentence written on them: "You are all studying mathematics, come, let's do a few problems first." ”
This is the case with the subject of mathematics, where you have to do problems at the stage of laying the foundation to deepen your understanding of mathematical theories.
What exactly is the course "Mathematical Analysis" for?
In fact, the number is advanced calculus, which takes the general theory of calculus and infinite series as the main content, and includes their theoretical basis to form a relatively complete mathematical discipline.
Mathematics is about understanding and calculation, and the amount of calculation of counting points is large, and the professor only talks about theory is equal to talking on paper, so Professor Lu asked students to do problems, with the title of introduction, interspersed with theory.
For a problem, a student writes down his or her solution ideas or specific processes, and then the teacher and students discuss together where the bright spots are, where the loopholes are, and how to improve them...... In this teaching session, the professor and the students fully interact and have in-depth discussions, rather than the professor's one-person explanation and indoctrination, which is Professor Lu's teaching philosophy.
"In the last class, I already told you about the number of points I, and I believe you have a general understanding of this course. Professor Lu said as a matter of course.
"Understand, understand. A few students in the classroom nodded, such as Shen Qi, Zhou Yu'an, Cai Qing, Luo Ji, and Ou Ye.
Shen Qi, Zhou Yu'an, Cai Qing, and Luo Ji are from the Department of Mathematics and live in the same dormitory, and they participated in the Golden Autumn Camp of Yan University together last year.
Ou Ye is also produced by Yanda Golden Autumn Camp, and she is a good hand at playing calculations.
Number operation is a part of mathematical calculations, and Ou Ye was not idle this summer, from her fragmented description, Shen Qi learned that Ou Ye strengthened her mathematical calculation ability during the summer vacation. Ou Ye probably listened to Sun Erxiong and Shen Qi's advice, and she went further and further on the road of calculating Ji.
The four people in Shen Qi's bedroom and Ou Ye said that they already had a general understanding of the number of points I and could do a few questions to practice their hands.
A round-faced boy from the Department of Science and Engineering Computing frowned: "Professor Lu, last time you finished the whole book of numbers and I in one class. Today is your second math class, you just let us do the questions, where can we do it?"
Professor Lu was unhappy: "I didn't come up with a topic, so you flinched and feared, this classmate, how can you learn mathematics well with such an attitude?"
At this time, Shen Qi spoke: "Come up with the question, Professor Lu, mathematics needs to be solved and discussed, in order to produce a chemical reaction, so that the sparks of thought collide and shine." ”
"Look, this is the consciousness of the Olympiad champion!" Professor Lu said very appreciatively to Shen Qi, heroes cherish heroes.
"Slut!" all the students of the Department of Science and Engineering Computing scolded MMP in their hearts, but only one of them laughed coldly and remained silent.
Just a few days after the military training, Professor Lu finished the lecture on counting I in one class, and the second class was a practice class, with an interval of 3 days.
A whole book counts the number of I, and it takes several lessons to read it word for word, how does Professor Lu finish a book of counting I in one class?
"Read the book yourself, it's too easy. ”
"The Leibniz formula for derivatives is the point, and I would like to say two more words here. ”
"Taylor's formula with various remaining terms is the most important of the points, and I'm going to talk about it for two more minutes here. ”
......
Professor Lu is like this, he finished the number I that should have been taught for one semester in one class.
Professor Lu may have his own teaching plan and follow-up plans, but some students are not comfortable with the current pace of teaching.
Normal people can't accept this kind of teaching speed, but there are always some people who are not normal.
Yanda does have geniuses and forced kings, but not everyone is a genius and a forced king.
Of course, there are ordinary students, and there are often people hiding on the shore of Weiming Lake and crying secretly, their spicy chicken level is too far from those geniuses and forcing kings in the class, so angry, angry and crying.
Shen Qi, the head of the mathematics department, looked relaxed and eager to solve the problem, and a small-eyed boy in the science and engineering computing department kept sneering, he was different from their department.
Professor Lu wrote a question on the blackboard:
"Calculate I=∫∫-ydzdx+(z+1)dxdy, where S is the outer side of the cylindrical plane x^2+y^2=4 truncated by the plane x+z=2 and z=0. ”
After the question, Professor Lu said: "Don't grab it, you have a share, the first problem on the blackboard will be solved by the Department of Mathematics, and say your own ideas, views, and opinions." The second question will be solved by the Department of Science and Engineering Computing, so be prepared. ”