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Calculus and optimal strategy.
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Answer: First, the role of economic mathematics.
The role of economic mathematics is to cultivate economic mathematics compound talents who have both a solid mathematical theoretical foundation and an economic theoretical foundation, and have high foreign language and computer application skills, and can be engaged in economic analysis, economic modeling, and system design in economic departments and departments such as finance, investment, insurance, and statistics.
2. The main content of economic mathematics.
1. The mathematical methods used in economics mainly include: linear algebra, probability theory, mathematical statistics, linear programming, parametric programming, optimization method, storage theory, queuing theory, network technology, etc.
2. In practice, according to the application of mathematical methods in different economic fields, there are also titles for management mathematics, accounting mathematics, business mathematics and other classifications.
The application of mathematical methods to demonstrate certain economic phenomena and solve specific economic problems has a certain degree of scientific and practicality.
For example, mathematical statistics is used for quality management, optimization is used for cost management, storage theory is used for material management, and so on. Applied mathematical methods can also establish the quantitative relationship of economic variables, and provide a more reliable economic mathematical basis for decision-makers.
3. The main courses of economic mathematics.
The main courses of economic mathematics include mathematical analysis, advanced algebra, probability theory and mathematical statistics, complex variable functions, real variable functions, programming, western economics, mathematical models, econometrics, financial economics, quantitative analysis of financial investment, risk management, economic ** and decision-making, information system analysis and design, large system analysis, etc.
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To study economics, you need to be prepared to have mathematical knowledge
1. Calculus (starting with the definition of limits and going all the way to multiple integrals).
2. Probability theory (non-continuous, continuous various probability models, various density functions, probability functions, Bayesian a priori and posteriori, etc.).
3. Mathematical statistics (the law of large numbers, the central limit theorem, various statistical indicators, the extrapolation and application of expectations, variance, etc., statistical models, etc.).
4. Linear algebra (applications of determinants, matrices, matrices).
5. Real variable functions, functional analysis, stochastic processes, game theory, as well as necessary learning such as C++ MATLAB or other programming tools, in addition, in order to conduct empirical analysis, it is best to master R language or statistical analysis programs such as SPSS and SAS.
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Mathematics is an important basic subject. The practical implementation of the problems of economics still depends on mathematical ideas, and many economists are also mathematicians. If you are going to graduate school, it is good to take the economics exam from a mathematics major to an interdisciplinary major.
In a way, it is even more popular with teachers than if you were an undergraduate in economics.
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You can't study economics without mathematics.
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Economic mathematics is advanced mathematics.
is divided into calculus and linear algebra.
Probability Theory and Mathematical Statistics. The training of economic mathematics has a solid foundation in mathematical theory and economic theory, and has a high level of foreign language and computer application.
Ability to engage in economic analysis, economic modeling, and system design in economic departments such as finance, investment, insurance, and statistics. Economic mathematics is one of the core courses of economics and management majors in higher vocational and technical colleges. This course not only provides the necessary mathematical tools for subsequent courses, but also is the most important way to cultivate the mathematical literacy and rational thinking ability of college students in economic management.
Students should systematically learn and master the basic theories and methods of mathematics and applied mathematics, receive basic training in mathematical models and computer software, and have good scientific literacy. systematically master the basic theories and basic knowledge of economics and management; Proficient in a foreign language, with strong foreign language reading ability and considerable foreign language listening, speaking, writing and translation skills, able to use foreign language to obtain professional information, and pass the national university foreign language level 4 test; Have strong computer application ability, able to use modern information technology to collect data and query information; Proficiency in the use of mathematical software and through mathematical modeling.
Analyze and solve practical problems.
Mathematical analysis is included in the main course of Economic Mathematics.
Advanced Algebra, Probability Theory and Mathematical Statistics, Complex Variable Functions.
Real Variable Functions, Programming, Western Economics, Mathematical Modeling, Econometrics, Financial Economics, Quantitative Analysis of Financial Investments, Risk Management, Economics and Decision-making, Information Systems Analysis and Design, Large Systems Analysis, etc. Students in this major will be awarded a Bachelor of Science degree if they have completed the required number of credits and met the requirements for degree awarding.
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The core of economics is statistics, and economics is measured and analyzed through statistics.
Development of modern statistics. Both social statistics and mathematical statistics can be analyzed qualitatively and quantitatively, and the difference between the two is variables and random variables. We know that the concept of "variable" was first proposed by the famous mathematician Descartes in the 17th century, while the concept of "random variable" was first proposed by Soviet scholars after the 30s of the 20th century.
As of Professor Wang Jianding, there is no second person in the world who has proposed the connection, difference and mutual transformation of variables and random variables. We know that the proposition of variables has led to the emergence and development of a series of major mathematical disciplines such as function theory, equation theory, and calculus. The proposal of random variables has laid the theoretical foundation for probability theory and mathematical statistics and promoted their vigorous development. It can be seen how valuable the concept of variables and random variables is.
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Marginal effects. Knowledge of calculus.
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That is, the consumption function.
The consumption function is a statement about the relationship between consumption and income. It was first proposed by J. Keynes in his book "The General Theory of Employment, Interest and Money" in 1936, that is, there is a fairly stable relationship between disposable income and consumption, and this relationship can be expressed as a function, called the consumption function. >>>More