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In view of your previous mathematical foundation, there should be no problem in learning high mathematics, if you can settle down and seriously look at the proof of the theorem, it is still easier to understand, so that even if you forget the conclusion in the future, it will be easier to get started when you go back to review, are you just starting to learn high mathematics, listen carefully to the teacher's lectures in class, study on self-study at night, do more exercises, most of the study in college relies on self-study, especially in the later stage, if there is a paragraph, it will become more and more difficult to understand, which requires you to study by yourself, Ask other students to understand the problem. If you are an engineering student, there are many courses based on advanced mathematics in the future, and I hope you can do a good job in advanced mathematics.
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1.It's very simple, listen well for 45 minutes in class, look at the theorem more after class, and learn to draw inferences when doing problems, for example: example problems are generally typical, not necessarily difficult, but its analysis and method are very important, so the example questions are not only will, but also master the method.
2.I often communicate with my seniors, and my university has a student league that specifically invites seniors to solve problems.
3.Proof questions are annoying, but you have to be able to do it, because if you want to solve a real problem, you need to push theorems one by one, but if you want to master the theorem, you must be able to prove it.
4.Learning mathematics well requires an eternal heart to delve into it, which sounds boring, but that's the only way to do it. It's not like any other class.
It requires constant scrutiny, and sometimes the head is on the verge of collapse. You have to persevere, and in the end, you will really be touched by the incomparable persistence at that time.
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The proof of the theorem does not need to be too entangled, of course, it is better to understand, and if you can't understand it, you have to remember the conclusion, after all, most of the exams are to use the conclusions, and the calculation is a technical work, and you will naturally accumulate a lot of experience if you do more questions. Hope it helps.
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The difference between engineering mathematical analysis and advanced mathematics is that mathematical analysis does not have differential equations, whereas 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.
The difference between engineering mathematical analysis and advanced mathematics is that mathematical analysis does not have differential equations, whereas 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 and logic as intermediate mathematics, as a transition between elementary mathematics in primary and secondary schools and advanced mathematics in college. It is generally believed that advanced mathematics is a fundamental discipline formed by calculus, more advanced algebra, geometry, and the intersection between them. The main contents include:
Sequences, Limits, Calculus, Spatial 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, and is based on the teaching experience of well-known universities at home and abroad on the basis of many years of engineering mathematical analysis courses. 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.
For example, the Department of Physics generally uses the "Advanced Mathematics" issued by Tongji University, while other departments will make some adjustments according to the difficulty of the discipline, for example, finance majors may have their own textbooks, and the coverage and difficulty of different textbooks should be different.
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Advanced Mathematics is a course that combines the mathematics to be used at the undergraduate level.
Mathematical analysis in engineering is the basic knowledge of analytics.
Advanced mathematics includes both analysis and algebra content, but the breadth and depth are not high, after all, the professional courses at the undergraduate level do not use too awesome things.
Engineering mathematics is dedicated to analysis, which is wider and more difficult than the analysis part of advanced mathematics. But I don't specifically talk about algebra (there will also be algebra in it, but it's for use, not for you).
Students who study engineering mathematics are also generally studying advanced algebra, specializing in linear algebra and spatial analytic geometry.
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Solve (x)=ln[(e x-1) x] x
Then you don't need to teach you to find the limit.
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I can't read it, and the picture is so blurry.
Advanced Algebra: 1. Textbook - Peking University Third Edition (designated reference book of many schools), which can be accompanied by a book of exercises to solve. 2. Tutorial book - the essence of advanced algebra problem solving, advanced algebra postgraduate examination lesson plan. >>>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.
Don't use numbers to prove it, or you'll fall into a trap. Obviously, it is converted into integrals, and it depends on whether you understand the essence of riemann integrals. If you try to do it with the limit of the number series, you may never be able to do it. >>>More
I'll talk about it from my high school experience, I don't know if it's useful. >>>More
Directory. Chapter 9 Progression.
The concept and properties of a series of terms. >>>More