My math level is average. A few days before I learned the results of the college entrance examination and volunteered, my family's suggestion was to be a teacher, so that I could have a stable life in the future, and I didn't have to run around for a living.
I am also deeply impressed by the profession of teacher, but I chose mathematics as a logical and abstract subject because my English level is not bad.
One year's freshman math study is coming to an end. Looking back on one year's math life, there are several waves of fatigue and happiness.
Think about it. The main courses of mathematics in the first two semesters are analytic geometry, geometric drawing, advanced algebra, operational research and mathematical analysis.
In fact, every time I talk to strangers about my college major, they always think that mathematics is a lofty term, but they often feel that their friendship in mastering and understanding mathematics is not deep. What they learn is only superficial definition, nature, inference and proof, and they can never get closer to life.
Today, these six subjects only want to talk about mathematical analysis, which is the most logical theoretical thinking in these subjects and the most challenging for our mathematics majors.
For a year, I want to say to mathematical analysis, are you fun or not?
Teacher Dong, who teaches this specialized course, comes from other provinces and speaks with a strong hometown accent. I remember the first class, and many students were at a loss. This feeling brought me back to the first year of high school, just like listening to the first class of the chemistry teacher, and that kind of picture suddenly caught my eye.
The hypnotic effect of this ignorant classroom day is still quite good, and many students will close their eyes when listening. The teacher's accent is unclear, and he has no feeling about the study of mathematical analysis. He is exhausted from listening.
I still feel a little slow to learn. Teacher Dong also said that most chapters of this course will be previewed once or twice, and at least three or four or five times will not feel anything. After listening to the class and watching it several times, you may not be able to do the problem. It's so difficult, and it's like this.
During this period of reviewing several points, I sometimes feel that I have tasted its sweet fruit in one or two inscriptions, but there are also many times when I have no way to start, trying to work out the correct answer, but I end up frustrated.
It's fun and bad. The final exam includes chapters 9, 10 and 1 1. Chapter 9 is about definite integral, which is based on indefinite integral. We must master the indefinite integral in Chapter 8. Many of our students will be confused about the difference between definite integral and indefinite integral, just like a calculation problem of inverse function definite integral in today's exam made it upside down.
The tenth chapter is about the application of definite integral to find the area of plane, the volume of rotating body and the arc length of rotating curve. It is a great challenge to one's stereoscopic imagination. I have always been weak in three-dimensional imagination. It is quite difficult to learn this chapter, which forces me to work harder in this respect.
Chapter 11 improper integral, one is infinite integral and the other is deficient integral. The difference between them lies in the domain of the integrand function, and the problems examined include judging its convergence and finding the convergence value. It is often solved by the principle of comparison principle.
Say it's fun, for a topic, several students do it together, discuss it together, and finally work it out with great difficulty. At that moment, my mood was suddenly enlightened, and a kind of released happiness poured in rhythmically.
Say it's not funny, a pair of helpless, tired and helpless eyes hang down. It is an examination subject for our professional students. If it is not fun, its ending will be very painful. Its learning process reminds me of a motto of Harvard University: the pain of learning is temporary, and the pain of not learning is lifelong.
In fact, every kind of learning is not an easy task, and so is mathematical analysis. But since you have chosen, love as much as you can!