First, the role of advanced mathematical methods in daily economic life
The knowledge involved in advanced mathematics is closer to daily life, and mathematical methods play an important role in economic life, mainly reflected in the following points:
1, mathematical methods are beneficial to the statistics of "quantity" in life.
Mathematical methods have been widely used since ancient times. We are all using mathematical methods in modern computer statistics. The amount of statistical data is increasing, and the efficiency and accuracy of statistics are getting higher and higher. Such as census, salary accounting, enrollment rate, enterprise production and sales, etc. They all use mathematical methods as tools to count the "quantity" in economic life. Mastering mathematical methods can easily solve these problems.
2. Mathematical methods are conducive to analyzing the "calculation" in life.
With scientific and accurate statistical data, it is convenient for people to use mathematical methods to calculate and analyze. Through the calculation of "quantity", people can know how much the interest of different banks and different interest rates is. According to the existing conditions, calculate the population on the earth in a few years, and entrepreneurs can expect the output value and profit in a certain period.
3. Mathematical methods are conducive to making correct judgments in life.
People will encounter all kinds of problems in their daily life. In practice, people often draw corresponding conclusions based on data collection, analysis and statistics, and compare the conclusions with the expected values, so as to infer whether they are correct or not, and finally provide reference for making correct decisions.
4. Mathematical methods are beneficial to the final decision of decision makers.
After making a correct judgment, the decision-maker can make new plans and policies according to the actual situation, thus solving new problems in life; At the same time, we can also modify and adjust the old programs, policies or implementation opinions to make them develop towards the expected goals, and so on. For example, the recent family planning second child policy in China is a decision made by experts after statistics, calculation, analysis and judgment on a large number of data such as the total population, population proportion and population growth trend in China.
Second, the application of mathematical knowledge in economic life
Mathematical methods play an important role in economic life, so it is necessary to learn advanced mathematics well. The contents of advanced mathematics mainly include functions, limits and derivatives, which are both heavy and difficult. How are these contents reflected in concrete real life:
The application of 1, function and limit knowledge in economic life
Money and interests are two common problems in daily life, which are closely related to people's lives. The so-called interest is the reward that the money owner (creditor) gets from the borrower (debtor) for borrowing money. In order to expand reproduction, entrepreneurs need financing, which means taking risks and paying interest. Investors (lenders) need to charge interest to settle accounts in "period", that is, unit time (usually one year or one month). Interest is divided into simple interest and compound interest. Private lending is usually calculated according to simple interest and settled on schedule, and the interest rate of private lending is higher than that of banks in the same period, which is relatively risky. In the real society, there are many cases of bankruptcy. And compound interest means that at the end of the previous period, the interest of the previous period is merged into the original fund of the previous period, and this sum is used as the new principal for calculating the interest of the next period, which is called compound interest. The popular saying is "rolling interest". This kind of problem involves functions and limits. If we master these two kinds of knowledge, we can calculate well and provide reference for enterprise decision-making.
2. The application of derivative knowledge in economic life.
With the continuous development of market economy and the development of modern productive forces, the application of mathematical knowledge in quantitative analysis of economics has made great progress. Some branches of mathematics, such as derivative knowledge, function extreme knowledge, differential equation and probability knowledge, have entered the field of economics, and it has become more and more important and common for people to use mathematical knowledge to solve economic problems. Derivative is an important concept in advanced mathematics and an important tool for economic analysis. Derivative can be used for marginal analysis, demand elasticity analysis and maximum analysis of marginal problems such as cost, income and profit involved in economic activities, especially for private entrepreneurs to provide quantitative basis for their scientific decision-making.
In a word, mathematics is closely related to people's lives, especially advanced mathematics plays an important role in the economy of human society. People need mathematical knowledge everywhere in their lives, such as cell number, heart rate, blood pressure, the vast universe, the distance between planets and so on. With the development of market economy, especially the establishment of financial market and modern enterprise system, mathematical knowledge is increasingly applied to many fields such as finance, commerce, accounting, marketing, taxation, medical care and management. As the training base of practical talents, higher vocational colleges should cultivate students' ability to use mathematical tools to make qualitative and quantitative analysis of all aspects of the economy, so that students can better adapt to the needs of social development.
For undergraduates majoring in engineering in colleges and universities, advanced mathematics is a very important basic course with rich content, rigorous theory, wide application and far-reaching influence. It not only lays a necessary foundation for studying the following courses and further expanding mathematics knowledge, but also plays a very important role in cultivating students' abstract thinking, logical reasoning ability, comprehensive application of what they have learned to analyze and solve problems, strong independent learning ability, innovative consciousness and innovative ability.
Mathematics is a subject that studies quantitative relations and spatial forms in the real world. With the development of modern science and technology and mathematical science, the connotation and extension of "quantitative relationship" and "spatial form" are getting richer and richer. Mathematics is not only a tool, but also a way of thinking. It is not only a kind of knowledge, but also a kind of accomplishment; It is not only a science, but also a culture. Mathematics education plays a unique and irreplaceable role in cultivating high-quality scientific and technological talents.
To paraphrase Feynman:
Mathematics is like sex: of course, it may give some practical results, but that's not why we do it.