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Should the landlord's question be asked the other way around?
1. Which engineering discipline does not use a large amount of advanced mathematics?
2. Which engineering discipline does not use engineering mathematics, which goes far beyond calculus?
3. Mechanical, chemical, computer, electronics, electrical, aviation, shipbuilding、、、 which subjects do not use high-depth and difficult mathematics?
Of course, if it is only cleaners, janitors, casual workers, odd workers, handymen, ordinary technicians, ordinary engineers, ordinary designers、、、 which are far away from the core technology, they will naturally not be used. Occasional use of technology.
It's just a three-legged cat's fist and embroidered legs.
In the factories of ordinary social enterprises and township enterprises, they will definitely not be used, not the slightest.
Not at all. Their engineers are no different from workers, they are operating.
Technically far from being a match for the workers, they are nothing more than a good one.
It's like an ordinary worker who seems to have gone to college.
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Advanced mathematics is a basic tool that has applications in almost every field, including construction, chemical industry, metal smelting, and many other industries.
Mathematics is the study of real-world quantitative relationships and spatial forms. With the development of modern science and technology and mathematical science, "quantitative relations" and "spatial forms" have become richer and more extensive in connotation. Mathematics is not only a tool, but also a mode of thinking; Not only a knowledge, but also a literacy; Not just a science, but a culture.
Mathematics education plays a unique and irreplaceable role in cultivating high-quality scientific and technological talents. For undergraduates majoring in engineering in colleges and universities, the advanced mathematics course is a very important basic course, which is rich in content, rigorous in theory, widely used and far-reaching. It not only lays the necessary foundation for learning the follow-up courses and further expanding the scope of mathematical knowledge, but also plays a very important role in cultivating students' abstract thinking, logical reasoning ability, comprehensive use of the knowledge learned to analyze and solve problems, strong independent learning ability, innovation consciousness and innovation ability.
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It consists of six main chapters.
Chapter 1 Functions.
Chapter 2 Limits and Continuity.
Chapter 3: Derivatives and Differentiation of Unary Functions.
Chapter 4 The Median Theorem of Differentiation and the Application of Derivatives.
Chapter 5 Integral of Unary Functions.
Chapter 6 Preliminary Linear Algebra.
As a basic science, advanced mathematics has its inherent characteristics, which are a high degree of abstraction, rigorous logic and wide application. Abstraction and computation are the most basic and significant characteristics of mathematics, with the abstraction and unity of high variables and functions.
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The following is the syllabus of the Higher Mathematics Engineering College you need, I hope it will be helpful to you.
Chapter 1 Functions. Function is one of the most important basic concepts in mathematics, which is the reflection of the dependence between quantities in the objective world in mathematics, and is also the main research object of higher mathematics. The first chapter focuses on:
the definition of the function; Basic elementary functions. Here's the hard part: composite functions.
Chapter 2 Limits and Continuity. Limit theory is the cornerstone of differential calculus, on the basis of which the concept of function continuity is established, and limit is also an indispensable basic concept and tool for the study of derivatives, integrals, series, etc. Chapter 2 consists of three parts: limits, basic concepts of several series, and continuity of functions.
Chapter 2 focuses on: the concepts of limits and infinitesimal quantities, the algorithm of limits, the two important limits and their applications; The concept of continuity and the continuity of elementary functions. The difficulties are:
Limit concept. Chapter 3: Derivatives and Differentiation of Unary Functions. The concept of derivative is based on the two concepts of function and limit according to the need to solve practical problems (such as finding the tangent of a curve and the speed of linear motion with variable speed), and it is the most important concept in differential calculus. The concept of differential calculus is another important concept in differential calculus, which is closely related to derivatives.
Chapter 3 focuses on: the definitions of derivatives and differentiations and their interrelationships; The geometric meaning of derivatives, the practical significance of derivatives as a rate of change: the derivative of derivative functions; Derivative of elementary functions.
The difficulty is: the derivation of composite functions.
Chapter 4 The Median Theorem of Differentiation and the Application of Derivatives. The theoretical basis for the application of differential calculus is the differential median theorem. Chapter 4 focuses on:
Lagrangian median value theorem: Application of Lobida's rule: determination of the monotonicity of functions:
The extreme values of the function and their methods; How to find the maximum and minimum values of a function and how to apply them in practice. The difficulty is: the maximum and minimum values of the function and their application.
Chapter 5 Integral of Unary Functions, which contains three parts: the concept and method of indefinite integrals, the preliminary differential equations, and the definite integral and its applications. In the knowledge points of Chapter 5, the key points are:
the concept of primitive functions and indefinite integrals; basic integral formula; the law of commutation integral and the law of partial integration; the concept of definite integrals; Newton-Leibniz formula; Application of definite integrals. The difficulty is: finding indefinite integrals, and the application of definite integrals.
Chapter 6 Linear Algebra Primer introduces the most rudimentary knowledge of systems of linear equations, determinants, and matrices, which have a wide range of applications in science and engineering. Chapter 6 focuses on: the properties and calculations of determinants
the various operations of matrices and their rules; Elimination method for solving systems of linear equations. Chapter 6 is difficult: matrix operations; Elimination method for solving systems of linear equations.
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Self-exam, do you see Thomas calculus tired? Just look at the designated textbook or the Tongji version of mathematics. That's all there is to it. As long as the limit is understood, it will be easy to find the derivative formula. I don't know where you are, it's amazing.
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The difference between engineering mathematical analysis and advanced mathematics is that mathematical analysis does not have differential equations, while higher mathematics has; Mathematical analysis, relative to advanced mathematics, requires mastery of triple integrals, curve integrals, surface integrals, Green's formula, Gaussian formula, and Stokes formulas, while higher mathematics only requires an understanding of triple integrals.
Broadly speaking, mathematics other than elementary mathematics is advanced mathematics, and there are also those that refer to the more in-depth algebra, geometry, and simple set theory elementary pants and logic as intermediate mathematics, as a transition between elementary mathematics at the primary and secondary school levels and advanced mathematics at the university level.
It is generally believed that advanced mathematics is a basic discipline formed by calculus, the more advanced algebra and the intersection between them. Key takeaways include; Number Series, Hu Juxin Limit, Calculus, Analytic Geometry and Linear Algebra, Series, Ordinary Differential Equations. Advanced Mathematics is the basic subject of the postgraduate examinations for engineering, science, and finance and economics.
Mathematical Analysis of Engineering (Volume II) is based on the Basic Requirements for the Teaching of Advanced Mathematics Courses in Higher Engineering Colleges promulgated by the Engineering Mathematics Curriculum Steering Committee of the Ministry of Education.
It is an important compulsory course of basic theory, which not only contains all the contents of "advanced mathematics" in general science and engineering, but also strengthens and broadens the theoretical basis of calculus, pays attention to the application of infinitesimal analytical ideas, and also has certain requirements and training in mathematical logic, rigor and abstraction.
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<> is like a closed limb in a sullen state.
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<> such as bright or key diagram respectful grinding.
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What to do can be budgeted.
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Transient analysis of LC circuits, can you analyze clearly without advanced mathematical knowledge?
Since you said that it is the first semester of your junior year, then I advise you to focus more on professional courses, because professional courses also have to be studied well, and it is not too late to prepare for the next semester!!
1.Solution: f(x-a)=x(x-a)=(x-a+a)(x-a).
So f(x)=x(x+a). >>>More
I'd like to ask what the t in the first question is ...... >>>More
The first question is itself a definition of e, and the proof of the limit convergence can be referred to the pee. >>>More
An infinitesimal is a number that is infinitely close to zero, but not zero, for example, n->+, (1, 10) n=zero)1 This is an infinitesimal and you say it is not equal to zero, right, but infinitely close to zero, take any of the values cannot be closer to 0 than it (this is also the definition of the limit in the academic world, than all numbers ( ) are closer to a certain value, then the limit is considered to be this value) The limit of the function is when the function approaches a certain value (such as x0) (at x0). 'Nearby'The value of the function also approaches the so-called existence of an e in the definition of a value, which is taken as x0'Nearby'This geographical location understands the definition of the limit, and it is no problem to understand the infinitesimite, in fact, it is infinitely close to 0, and the infinitesimal plus a number, for example, a is equivalent to a number that is infinitely close to a, but not a, how to understand it, you see, when the chestnut n->+, a+(1, 10) n=a+ is infinitely close to a, so the infinitesimal addition, subtraction, and subtraction are completely fine, and the final problem of learning ideas, higher mathematics, is actually calculus, and the first chapter talks about the limit In fact, it is to pave the way for the back, and the back is the main content, if you don't understand the limit, there is no way to understand the back content, including the unary function, the differential, the integral, the multivariate function, the differential, the integral, the differential, the equation, the series, etc., these seven things, learn the calculus, and get started.