The difference between elementary mathematics and advanced mathematics. Elementary mathematics mainly studies discrete quantities, but it is high

Isomathematics is a continuous quantity. Because of this, advanced mathematics is difficult to learn. Here, and

Calculus in advanced mathematics is the basis of other mathematical knowledge, so we study differential calculus in combination with many colleges and universities.

In this article, I will talk about the methods of calculus learning.

First of all, we must affirm the greatness of calculus. The creation of calculus is not so much mathematics.

In history, this is a great event in human history. Today, it is very important for engineering technology.

Just as telescopes are as important to astronomy and microscopes are to biology. Its appearance is not

Not coincidentally, it has a long growing process. As early as ancient Greece, Archimedes and others

His works already contain the seeds of integral calculus. After more than a thousand years of silence, Europe appeared in the text.

After the revival of art, the study of Archimedes theory revived, and many pioneers emerged.

Who?

The real foundation of calculus is in

17

Century,

Starting with Descartes' analytic geometry,

receive

The masterpiece is the creation of calculus, which brings the history of mathematics into a new period-variable mathematics.

Period. Euclidean geometry and algebra in ancient and medieval times were constants.

Mathematics and calculus are real variable mathematics and a great revolution in mathematics. Calculus in mathematics

This can be regarded as a great achievement in the history of development, because the establishment of calculus not only solved

At that time, some important scientific problems and some important branches of mathematics were produced from this.

Such as differential equation, infinite series, differential geometry, variational method, complex variable function, etc.

Calculus has solved some important problems: ① finding instantaneous velocity; ② finding tangent of curve; ③ finding.

The maximum value ④ of the function is to find the curve length. These problems are very important for the development of astronomy, physics and other disciplines.

An important promoting role. Because it is important, it is also difficult to learn, and it is a freshman science.

The main math problems that make students have a headache.

Preview is very important. Preview is not self-study, but browsing for books.

Key and difficult points, in order to "concentrate on class"

If you don't have much time, you can browse one

Have a general impression of the main content that the teacher will talk about, which can be to some extent

To some extent, it helps you keep up with the teacher's thoughts in class. If you have enough time, you can keep up with the teacher's ideas.

In addition to browsing, you can also read some contents in detail and prepare questions.

What's the difference between your own understanding and the teacher's explanation?

What problems need to be discussed with the teacher?

If you can do this, then your study will become more active and in-depth and you will achieve something.

Better results. Don't rush to do the problem, think deeply about the textbook first. Do the problem

Don't turn over the answer easily, think it over and discuss it with your classmates. Do the questions or not?

Coming out is more rewarding than doing it. Confidence in learning is also very important. Improve confidence, cultivate

Good psychological quality and courage to overcome all kinds of difficulties; Don't let it go just because you're not interested at the moment.

Abandon,

Interest is not innate,

It is cultivated slowly the day after tomorrow.

Good study tradition,

It is the quality that contemporary college students should have to work hard to realize the glory of their lives.

In class, we should focus on the difficulties in preview and give guidance to teachers for the key difficulties.

After asking questions, the teacher expects the students to "interrupt" his lecture in the university class, teacher.

I also hope that I can exchange and discuss classroom knowledge with students, so that classroom questions can not only get the special attention of teachers.

The explanation can also be on the topic. Dare to ask questions in class. In class, if you have any questions.

Ask, you should ask right away. Because of your question, there may be situations where other students are afraid to ask.

Problems; It could be everyone here.

(

Including teachers.

)

Problems that have not been considered.

Asking questions in class is of great help not only to yourself but also to the whole class. Lively students

A dynamic learning environment is not only created by teachers, but also requires the participation of students and teachers.

Students all hope and attach great importance to students' more positive performance in class. Believe this.

Interactive learning process will definitely make you gain more in the process of learning calculus.

There are many integral formulas in calculus learning, so we must remember and skillfully use some integrals.

Formulas can shorten the time of doing problems, which is of great help to future study, while integral formulas

Many and complex, need special memory. Deducing the formula many times improves the understanding of the formula.

It is also a clever use of other formulas in disguise, and the derivation of formulas in mathematics learning needs other formulas.

Basic integral formula plays an important role in deriving complex integral formula.

The study of calculus should first exercise the sense of touch through a lot of exercises. Beginners do calculus

Exercise,

One is to have more children.

"practice"

Jimidovich problem set is a good choice.

In this exercise set

Many types of integral exercises are introduced, from which we can see various types of integral exercises, including

Detailed analysis process is an essential problem set.

Calculus course

(Fichkingo)

Ertz)

The first volume consists of two volumes, the second and third volumes consist of three volumes, and * * eight volumes. For example, definite integral

commit a crime

x

/

x

How to calculate (frequency domain square wave), several formulas are given.

Classical and historical methods. The second is to "look" more.

Look at the solutions with certain skills and learn from them.

How to do the problem)

. Look at the doorway from the exercises, look at the problem-solving methods and summarize.

. Only study mathematics

A good way is to learn by doing. Because when you solve a problem, you must put back the theory you have learned.

On second thought,

This process will help you learn how to look at these theories from different angles.

It will also help you find things that were previously overlooked. So, try to do it yourself.

Solve the problem. Discuss the course content with other students or teachers. Everyone has his own habits.

The way you look at things often falls into a blind spot unconsciously. So, even if you think

Because you already know the content of the course, I suggest you spend more time with other students or teachers.

Discussion; In this way, you can detect small details that you have overlooked, or some details that you don't have at all.

Considering the level.

Review after study is essential. Review is not a simple repetition, use yourself.

Reproduce what you have learned, such as reviewing a theorem, instead of reading it again.

Books or class notes, but leave books and notes, recall the relevant content, and then it is not clear.

Cross reference to textbooks or notes. In addition, the idea of review should not be used by teachers in lectures or textbooks.

A reference method is to use flashback. Inferred from the conclusion of the theorem, in order to

Get the conclusion of the theorem, how to reason, and where the conditions of the theorem are used. Pour like this

The way of thinking is closer to the discovery of this theorem, which is a kind of creative thinking.

Activities.

How to review concepts? First of all, for important definitions, everyone should be able to use their own language.

Repeat it correctly. This is a prerequisite for understanding and applying them. Second, try to use it.

The more concrete examples you can give to explain or express abstract concepts, the more practical examples you can say.

Understand a concept, then your understanding of this concept will be more vivid and in-depth.

After learning calculus, you need to apply it to definite integral and indefinite integral and really do it.

Apply what you have learned. When studying, you should consider learning everything before you can understand why.

What is the significance of learning calculus well for us?

Math training logical thinking! The ability to think logically, whether born or not,

But one thing is certain,

It can be trained,

One way is to study math.

Solving math problems will teach you how to solve them.

Learn how to see the key to the problem,

Ask appropriate questions, think from different angles, and so on. Logical thinking ability ratio

Mathematics is very useful, such as learning a new language, organizing and planning.

In a word, every student should and can find the motivation to learn calculus.

You don't have to agree that calculus is one of the greatest achievements of mankind, and the beauty of this theory is remarkable.

But at least calculus is regarded as an important tool to master the subject and teach you to learn.

Learn how to attack and solve problems systematically.

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Thank you for your adoption