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It's a coincidence that I'm also an automation major, but I'm a junior now.
I considered going to graduate school in my freshman year, Eun thought very far and thought very far.
Let's get to the point.
If you say high math, I think 395690699 this friend said it very well.
If you have a good foundation in high school math, it should not be difficult to learn advanced math.
Moreover, there are not as many changes in high mathematics as in high school (because college does not have a lot of time to dwell on one course, only a dozen courses are studied in three years of high school, and there are 6 or 70 courses in four years of college, so the changes in high mathematics are reflected in other courses, not in itself, and after learning the courses, you will know that the instrumentality of high mathematics in freshman year is very obvious), as long as you understand the basic definition and a few examples, it is very easy to draw inferences.
Before doing homework, it would be good to look at the sample questions and summarize some question types.
In addition, since you are an automation major, I will give you a few advanced math foundations that you will focus on in the follow-up courses of automation.
Limit Finding Taylor's Formula Ordinary Differential Equations Fourier series and double integrals, triple integrals and so on played a great role in later college physics analysis.
If there is anything you don't understand, please feel free to ask again
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What was your foundation for high school?
Engineering math is actually very simple, it doesn't look like a math major!
1.Work on the basics.
2.Read more about the definition, understanding, and application of the book mountain, and the example questions in the book should be repeatedly scrutinized!
3.Do some related exercises, preferably with detailed answers, and compare the answers to find out your own questions!
4.Some calculation formulas should be memorized flexibly!
When I was self-taught in college, I was all on my own! Hope you can do your best!
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Preview, read the table of contents, read example questions, listen to lectures, do homework, and basically get through.
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This is a public course, it is something that everyone has to learn, of course, some majors have higher requirements for high mathematics, it is some engineering majors, and the basic high mathematics may be difficult for liberal arts students, but fortunately, after studying for a year or two, 60 points in the exam are enough.
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Advanced mathematics is a mathematics subject studied in universities, which refers to a part of the mathematics objects and methods that are more complex than elementary mathematics and secondary mathematics. 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.
Different majors in universities have different requirements for the learning content and difficulty of mastering advanced mathematics. Advanced mathematics is usually divided into three categories: high number A, high number B, and high number C, and the difficulty is from high to low. For example, engineering, science, and finance majors have higher requirements for high mathematics.
Among them, high mathematics A corresponds to science and engineering majors, high mathematics B corresponds to economics and management majors, and high mathematics C corresponds to literature and history majors. (Mathematics majors do not study advanced mathematics, but learn more difficult mathematical analysis, and language majors do not need to study advanced mathematics).
1) Master the properties and graphs of basic elementary functions.
2) Grasp the two criteria for the existence of limits, and use them to find limits.
3) Derivatives are used to describe some simple physical quantities.
4) Understand the concept of curvature, radius of curvature, and be able to calculate.
5) Understand the dichotomy and tangent methods for finding approximate solutions to equations.
6) Understand the concepts of tangents and normals of curves and tangents and normals of surfaces, and find their equations.
7) Triple Integral.
8) Curve surface division.
9) Vector Algebra and Spatial Analytic Geometry.
The above are all the knowledge required to be mastered in the higher mathematics class A and the B class is not used, and the C class is simpler.
Higher mathematics has little to do with high school, and only functions, limits, and space vectors are the content of the transition from high school. But the foundation of the function must be laid!
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If you usually learn to skip classes, then you will learn to cheat on exams.
If you usually study, then there are one, two and three categories of high mathematics, and one category is the most difficult. It is divided into two volumes, the first volume learns differential, the second volume learns integrals, functions, relatively speaking, the integration is more difficult, there are many things to remember, and the questions are also very annoying.
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High numbers are actually not as difficult as imagined, as long as the content of high numbers is included, sequences, calculus, series, limits, ordinary differential equations, etc., you don't need to think about how difficult it is, you can still grasp it in class and listen carefully to the teacher's lectures.
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Functions, derivative differentials, indefinite integrals.
As long as you master the example problems and exercises in the book, you can pass the general self-study.
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The main students are the limits of functions, calculus, series, vectors, and indefinite integrals. Here's the table of contents:
1. Volume I: 1 Functions and Limits.
2 Derivatives and Differentials.
Applications of 3 derivatives,.
4. Indefinite integrals.
5 definite integrals. 6 Differential equations.
7. Multivariate function differentiation.
8 double integrals.
2. Volume II: 1 determinant.
2 matrix. 3 vectors.
4 systems of linear equations.
5. Similarity matrix and quadratic type.
6 probabilities. 7. Random variables and distributions.
8 Numerical characteristics of random variables.
9 large number theorem and central limit theorem.
Advanced Mathematics is one of the compulsory courses in college, which is divided into two volumes, and is generally studied in each semester of the freshman year. Edited by Tian Yufang and published in 2014, this book can be used as a textbook or teaching reference for undergraduates of science and engineering majors in colleges and universities, especially for undergraduates majoring in engineering electronic information, and can also be used by students for self-study.
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Further Mathematics. Compared with elementary mathematics, it is a more complex subject. Further mathematics consists of calculus.
Algebra, geometry, and the content of the spread between them are a fundamental discipline. Moreover, advanced mathematics is the basic subject of the graduate examinations of engineering, science, and finance and economics, so many majors in Peizen need to learn advanced mathematics (>
According to statistics, students should study advanced mathematics in Accounting, Finance, Taxation, Finance, Finance, Auditing, and Finance; Business Administration in Management.
Administration, public utilities management.
Information Systems Management, International Economy and Trade, Marketing.
Wait. International Trade and Trade, Business Administration, Marketing; Others, such as engineering, science, management, medicine, agriculture, and forestry, are basically needed. There is also the study of mathematics, which is the foundation for those who study mathematics, and will learn more such as linear algebra later.
and other mathematical knowledge, which is still quite adjustable.
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First of all, in addition to the mathematics major, in addition to the change of advanced mathematics, I also returned to discrete mathematics, optimization methods, and so on. In addition, basically all science and engineering majors must be studied. Business administration and public administration are required to be studied in liberal arts majors, and liberal arts majors in some science and engineering colleges are basically required.
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In college, mathematics majors must be studied, followed by science majors, they must study advanced mathematics.
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It is a very good education, you should study hard and work hard to improve yourself.
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Hello friends! The complete detailed and clear process RT shows, I hope it can help you solve the problem.
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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.
Knowledge points to memorize, I personally feel that the knowledge points before college are few and easy to remember, anyway, I almost never memorized mathematical formulas or theorems in junior high and high school, and if I can't remember, I will take the exam, but there is too much mathematical content in college, and derivation is also very troublesome, so I have to remember those formulas. Then you have to brush the questions, more brushing questions helps to understand the use of knowledge, you can see some of the famous teachers, I feel that what the teacher said will help to understand some, if you can find someone to communicate with you about the problem, it is the best.
Executive Summary:
The book basically covers the elementary mathematics content required in Advanced Mathematics. The book is divided into eight chapters according to the order of elementary mathematics, Chapter 1 Algebraic Formulas, Chapter 2 Equations and Inequalities, Chapter 3 Function Concepts and Quadratic Functions, Chapter 4 Exponential Functions and Logarithmic Functions, Chapter 5 Number Sequences, Chapter 6 Trigonometric Functions, Chapter 7 Plane Analytic Geometry, and Chapter 8 Introduction to Complex Numbers. Each chapter is followed by a selection of exercises, and at the end of the book the answers to the exercises and hints for the proofs. >>>More
The concept is well mastered.
Do more questions of the same type and think more. >>>More
Both can be proved by the definition of derivatives, or by Lopida's law. >>>More