I. Service areas of mechanical engineering:
Wherever the use of machinery, tools, and even energy and materials production sectors, all need the services of mechanical engineering. Modern mechanical engineering has five major service areas: ① development and provision of energy conversion machinery, including thermal energy, chemical energy, atomic energy, electrical energy, fluid pressure energy and natural mechanical energy into a variety of mechanical energy suitable for the application of power machinery, as well as mechanical energy into the other energy needed for energy conversion machinery. (ii) The development and provision of machinery for the production of various products, including machinery for agriculture, forestry, animal husbandry, fisheries and mining machinery, as well as a variety of heavy industry machinery and light industry machinery. (iii) Develop and provide machinery for various services, such as material handling machinery, transportation machinery, medical machinery, office machinery, ventilation, heating and air-conditioning equipment, and dust removal, purification, noise reduction and other environmental protection equipment. (4) To develop and provide machinery for family and personal life, such as washing machines, refrigerators, clocks and watches, cameras, sports equipment and recreational equipment. ⑤ Developing and supplying all kinds of mechanical weapons.
Two, the course content of linear algebra:
Linear algebra is for the cultivation of China's socialist modernization needs of high-quality specialists. Through the study of this course, linear algebra can be roughly divided into two parts, one of which is the theory of determinants, linear equations and matrices mainly based on algorithms, and the other is the theory of space, which mainly includes linear spaces, linear transformations, standard forms, Euclidean spaces and so on.
In the field of mechanical engineering, the numerical solution of complex linear equations is a frequently encountered problem, and some multi-solution problems in mechanical engineering, such as the mechanism of the transfer configuration, the tree solution of the robot mechanism and the multi-solution problem of the design scheme, etc., often need to be solved by some of the theories of linear equations in linear algebra. And the equations in linear algebra are generalized to various carbon and alloy steels that can be quenched and hardened. In fact, these equations can be treated as a quantitative scale, which is widely used in designing or selecting steel grades, formulating or revising standards, and controlling melting compositions. In addition, it helps to establish a complete system of calculations on composition, organization and properties. This has made a great contribution to the field of mechanical engineering.
The determinant has many applications in mathematical analysis, geometry, theory of systems of linear equations, theory of quadratic forms, etc., which lays the foundation for the systems of linear equations that we will study later.
Matrix theory includes: linear spaces, linear transformations, inner product spaces, orthogonal projections, Jordan's standard type, and paradigm number theory.
In the theory of matrices, there is a matrix diagram method. Matrix method of engineering management in a wide range of uses, ① when the production process there are a variety of bad phenomena, and they have a number of *** with the same cause, to clarify these bad phenomena and their causes of interrelationships, and then these bad phenomena in one fell swoop eliminated
. ② Help to develop new products or improve the entry point of the old product, to ensure the quality characteristics of the product and improve production efficiency.
As per the current international standards, linear algebra is expressed through axiomatization. It is a second-generation mathematical model with roots in Euclidean geometry, analytic geometry, and the theory of systems of linear equations. I personally have a plan to go to graduate school after college. Checking the internet, I found that among the subjects for graduate school, there is a course on linear algebra, so it is very necessary to learn linear algebra. And, because individuals study mechanical engineering, if you are not familiar with the concepts of linear algebra, such as linear properties, vectors, linear spaces, matrices, etc., to go to the study of natural sciences, research on new products, basically it is difficult to realize, linear algebra is involved in it. Although it is not all, but learning well is needed, which lays a good foundation for their profession and future.