What is the difference between applied math, basic math, and computational math?

Applied Mathematics, Basic Mathematics, and Computational Mathematics have different concepts, different characteristics, and different major courses.

1, the concept of different:

(1) Applied Mathematics to cultivate mastery of the basic theories and basic methods of mathematical sciences, with the application of mathematical knowledge, the use of computers to solve practical problems, by the initial training in scientific research, can be in science and technology, education and economic sectors engaged in research, teaching, or in the production and operation and management departments engaged in practical applications, development research and management of senior specialists;

Application of Mathematics, Basic Mathematics, and Computational Mathematics are different.

(2) Basic mathematics, also called pure mathematics, specializes in the study of the internal laws of mathematics itself. Algebra, geometry, calculus, probability theory knowledge introduced in primary and secondary school textbooks, all belong to pure mathematics. A distinctive feature of pure mathematics is that it temporarily sets aside specific content and studies the quantitative relationships and spatial forms of things in pure form.

(3) Computational mathematics is a science major formed by the cross-pollination of mathematics, physics, computer science, operations research and control science.

2, different characteristics:

(1) Applied mathematics requires a solid foundation in mathematics, a more rigorous training in scientific thinking, a preliminary grasp of the ideas and methods of mathematical sciences; with the application of mathematical knowledge to solve practical problems, in particular, the establishment of mathematical models of the initial ability to understand a particular should be; be able to skillfully use computers (including commonly used languages, tools and some mathematical software), have the ability to write simple applications They should be able to use computers (including common languages, tools and some mathematical software) and have the ability to write simple applications; they should understand the national policies and regulations on science and technology.

(2) Basic Mathematics Basic Mathematics is the foundation of the foundation. Its research field is broad and theoretical. Specific branch directions include: projective differential geometry, Riemannian geometry, integral differential geometry, harmonic analysis and its applications, wavelet analysis, partial differential equations, applied differential equations, algebra and so on.

(3) Computational problems can be said to be the modern society in all fields of the prevalence of **** the same problem, industry, agriculture, transportation, health care, culture and education, etc., which line of business which industry have a lot of data need to be calculated, through the analysis of data in order to grasp the law of the development of things. The study of computational problem solving methods and related mathematical theory of a discipline called computational mathematics. Computational mathematics belongs to the category of applied mathematics, it is mainly studied how to solve the mathematical and logical problems effectively by the computer.

3, the main courses are different:

(1) the main courses of applied mathematics: analysis, algebra, geometry, probability theory, physics, mathematical models, mathematical experiments, computer fundamentals, numerical methods, the history of mathematics, and other basic courses selected according to the direction of the application.

Major practical teaching links: including computer internship, production internship, scientific research training or thesis, etc., generally arranged for 10-20 weeks.

(2) Basic mathematics mainly refers to geometry, algebra (including number theory), topology, analysis, equations and some mathematical sub-disciplines developed on this basis.

(3) Computational mathematics includes arithmetic, elementary algebra, higher algebra, number theory, Euclidean geometry, non-Euclidean geometry, analytic geometry, differential geometry, algebraic geometry, projective geometry, topology, fractal geometry, calculus, the theory of functions of a real variable, probability and mathematical statistics, the theory of functions of a complex variable, generalized functional analysis, partial differential equations, ordinary differential equations, mathematical logic, fuzzy mathematics, operations research, Mutation theory, mathematical physics.

References:

Baidu Encyclopedia - Computational Mathematics

Baidu Encyclopedia - Basic Mathematics

Baidu Encyclopedia - Applied Mathematics