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What are the applications of mathematics in economics?
Basic mathematical knowledge, calculus, probability theory and mathematical statistics can be used in undergraduate economics. Extreme value methods in calculus, such as Lagrange extreme value method, are very common, and concepts such as probability, mathematical expectation, variance, etc. If it is a demanding economics major, differential equations may be used, and econometrics will also use mathematical statistical analysis methods such as "least square method".

In the later period of undergraduate economics, in addition to the mathematical knowledge mentioned above, the mathematical knowledge that may be used includes: linear programming, nonlinear programming, topology, differential equations, real analysis, complex analysis and so on. In addition, statistics will also learn a lot, such as sampling methods, experimental design and so on. These are statistical knowledge rather than mathematical knowledge.