How to learn calculus well? Calculus won t do anything

The theorems in the textbook, you can try to reason by yourself. This will not only improve your proof ability, but also deepen your understanding of the formula. There are also a lot of practice questions.

Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework). The improvement of mathematics scores and the mastery of mathematical methods are inseparable from the good study habits of students, so good mathematics learning habits include: listening, reading, homework, listening:

You should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary After each class, you should think deeply and summarize, so that you can get one lesson and one Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and learn together with similar reference books for example problems, learn from others, increase knowledge, and develop thinking **: Learn to think, explore some new methods after solving problems, and learn to think about problems from different angles, or even change the conditions or conclusions to discover new problems, after a period of study, you should sort out your own thinking to form your own thinking rules Homework:

In short, in the process of learning mathematics, we should realize the importance of mathematics, give full play to our subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think about problems, analyze problems and solve problems, and finally learn mathematics well

In short, it is a process of accumulation, the more you know, the better you learn, so memorize more and choose your own method. Good luck with your studies!

Graphics help you be more intuitive, understanding helps you analyze better, imagination is the magic of mathematics, logical reasoning should be no problem! Is there any difficulty in that?

If you are going to graduate school, you must look at the textbooks well, and then read Li Yongle's review book or read some tutorial class handouts, and finally you must summarize, summarize the skills and common ideas and methods, and pay more attention to one problem with multiple solutions, especially the limit...

1. You must listen carefully to your friends in class, and what the teacher talks about in class must be very important content, so learning after class is better than listening to lectures in class;

2. After-class exercises, after learning the content of a lesson, you must complete the exercises, calculus pays more attention to the derivation of theories, and the learning content is more and more difficult, so you need to consciously review after class;

3. Do the test papers frequently, and when reviewing and consolidating, first familiarize yourself with the knowledge points, and then practice a lot of test questions

1. Historical development is different:

Differentiation has a longer history than integrals. During the Greek period, human beings discussed the concepts of infinity, limit, and infinite division as the basis for differentiation. Whereas, the integral was a concept proposed by the German mathematician Bonhard Riemann in the 19th century.

Riemann's definition uses the concept of limit, imagining a curved trapezoid as the limit of a series of rectangular combinations.

2. Different mathematical expressions:

Differentiation: Derivatives and differentiations are somewhat different in the form in which they are written, such as y'=f(x), which is the derivative, and dy=f(x)dx, is differential.

Integral: Let f(x) be a primitive function of the function f(x), and we call all the original functions of the function f(x) f(x) + c (c is an arbitrary constant) the indefinite integral of the function f(x), and the mathematical expression is: if f'(x)=g(x), then there is g(x)dx=f(x)+c.

There are four basic formulas for calculus:

1. Newton-Leibniz formula, also known as the basic formula of calculus;

2. Green's formula, which integrates the closed curve into a double integral in the region, which is the double integral of the divergence of the plane vector field;

3. Gaussian's formula, which divides the surface area into a triple integral in the region, which is the triple integral of the divergence of the plane vector field

4. Stokes' formula, which is related to curl.

Calculus is a very important part of mathematics that provides a way to study the rate of change of functions. Studying calculus can help us understand the rate of change of a function at a certain point, as well as the overall change of the function within an interval.

Calculus has a wide range of applications in many fields, such as physics, engineering, economics, etc. In physics, calculus can be used to study the speed and acceleration of the motion of objects, in engineering, calculus can be used to study the strength and stability of structures, and in economics, calculus can be used to study the supply and demand of the market and changes in the market.

In conclusion, calculus is an important part of mathematics, and learning calculus not only improves our math skills, but also allows us to better understand and study many practical problems.

Calculus is an important mathematics course that prepares students for a range of important concepts and skills, including working with nonlinear equations, solving complex graphical problems, and analyzing the properties of physical and chemical systems. With knowledge of calculus, students can more easily learn about science and engineering and find flexible ways to solve real-world problems.