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In advanced mathematics, it is enough to remove differential equations.
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1.Derivative of implicit function (analytic geometry speed to find the tangent of the curve)2Finding Extrema of Multivariate Functions by the Lagrangian Multiplier Method (Dealing with Cauchy Inequality)3
Vector cross product, mixed product, point-surface distance formula (three-dimensional geometry to find normal vector, solve space geometry calculation problem) 4Differential Median Theorem and Taylor's Formula (Derivative Problem and Inequality Proof)5Skillful application of universal formulas (solving some cumbersome trigonometric functions by commutation into familiar elementary functions).
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The first chapter of advanced mathematics has already been studied in high school, but it is just to develop ideas and prepare. It belongs to the pre-calculus phase.
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Both definite and indefinite integrals are possible.
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The most basic courses such as Advanced Geometry, Advanced Algebra, Differential Geometry, Real and Complex Analysis, and Functional Analysis should be taken at the high school level.
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In high school math classes, you will learn advanced mathematics in the third year of high school, mainly in differential calculus. In advanced mathematics, the main thing is to learn differentiation and integration, in fact, integration is the inverse of differentiation, but the integration will be much more difficult than differentiation, and will also use number series, functions and solid geometry. Moreover, it is not too difficult, which is very suitable for high school study.
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When I was studying advanced mathematics, I felt that there were a lot of things that could be studied in high school, for example, some of the simpler ones could be studied in high school.
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We don't have a major in college mathematics, but I think it is very likely that in the future, many coursework will be delegated to high school, because the pace of learning in high school is relatively much faster and more efficient than that in college, so I think this problem is likely to become a trend.
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Functions are now devolved to high school math. When I was in high school, I would learn more superficially, but when I got to college, I would find that it was all English letters and the like, which would be a headache.
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I don't think I can decentralize, now that the things in high school are quite saturated, and the four years of college are enough time to study as much time as you want.
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I think it should be possible to study summing in high school in college, because I have already mentioned it in high school, and I think I can better grasp this knowledge in high school.
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Much of the math content of the university may later be devolved to the high school district. For example, for basic high mathematics, I think it is very likely that high school students will learn it.
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Some of the relatively simple content of college mathematics can be studied in high school, in fact, high school learning is still very efficient. A lot of college math content can be thought of studying in high school, which can reduce the burden of college.
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I think it's important to transfer the lesson of mathematical analysis to high school.
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Linear algebra bar.
Jiangsu high schools all learn matrix, how can other provinces not learn it.
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Summary. The content that college needs to master in high school (such as the four major properties, monotonic odd-even cycles are bounded) and inverse trigonometry functions are not required in high school, this first module, you only need to flip through the high school content a little by yourself, without going deep into the limit and continuity This is the introduction to calculus.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
Is it necessary for a set trigonometric vector array.
College needs those knowledge of high school math.
Are inequalities, solid geometry, plane analytic geometry needed.
College needs those knowledge of high school math.
Counting principle, reasoning and proof, the expansion of the number system and the introduction of complex numbers, the selection of the inequality of coordinate system and parametric equations, is it needed?
College needs those knowledge of high school math.
Do computer majors have to learn solid geometry?
College needs those knowledge of high school math.
Do you want to study vectors in college.
College needs those knowledge of high school math.
Is there any need for high school physics in college.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
College needs those knowledge of high school math.
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In high school, you can read the textbook of the people's education version, in which the knowledge of geometry and statistics does not need to be overly studied, focusing on functions and probabilities.
The university's textbook is recommended to read the C edition of Calculus (Volume II) Linear Algebra and Probability Theory and Mathematical Statistics published by Tsinghua University Press.
PS: Version A is the most difficult (suitable for science students), version B is suitable for engineering students, and version C is the easiest and suitable for economics students. This textbook is generally used by universities.
Needless to say, there are a lot of tutorial books in high school, but the exercises are still college entrance examination questions, and I think it is better to have a textbook with a textbook.
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Look at advanced mathematics! Linear Algebra, Probability and Mathematical Statistics.
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Is there any point in you learning this thing China refers to certification does not look at ability.
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Answer: This question is a question of "the benevolent see the benevolent, and the wise see the wise". Just me.
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There is a Lobida rule in college mathematics, which is useful for solving the last big problem, and our high school teacher told us about this at the beginning, which is quite simple and a little knowledge, if you are interested, you can take a look.
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I think that unless you are like a top student, doing the grand finale of the puzzle, there should be no need for anything else.
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Didn't learn to walk, learn to trot first?
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How do you learn math in high school? Is math hard to learn in high school?
Mathematics is a subject, both for liberal arts and science students. It is more important because it is one of the three main courses, and it accounts for a relatively large number of points. If you don't do well in mathematics, you may affect the study of physical chemistry, because those subjects are all about calculations.
However, these calculations are also in mathematics. How do you learn math in high school? What are some good ways to do this?
High School Mathematics. Know the reasons why your child is not good at math:
1. Don't let children learn passively, there are still many students who want to be in junior high school after going to high school, so they follow the teacher's train of thought. I don't have some derivatives, I didn't have a learning method before, and I won't look for it after class. If you practice with practice questions, you just wait for class, and you don't know what the teacher is doing in front of you to write about the content of the teacher's class, and just thinking about taking notes in class is not effective.
2. When the teacher is in class, he should express this knowledge clearly and analyze the key points and difficulties. However, there are still many students who do not pay attention in class. I don't know about many pharmacies, but I take a lot of notes, and there are many problems that I can't understand, and I won't summarize them after class.
Just hurry up and do your homework. When they write their homework, they just mess around and remind them that they don't understand the concepts and rules. Doing questions can only be done by chance.
3. Don't pay attention to the foundation, many children don't have a solid foundation, but they think they have learned well and want to move on to the next lesson, and the premise is that you have to understand all the content of the previous lesson. The evolution of the next question is underway. Find the right way to learn.
For how to learn high school mathematics, it is still important to find a suitable way to learn. The first thing we need to do is to cultivate a good study habit, good study habits include making a study plan, before class, study by yourself, listen carefully to the class when you are in class, and actually consolidate the knowledge engraved after class, and do exercises carefully after class.
At this stage of high school, children say that they are neither small nor big, and at this age, children are very impatient no matter what they do. For this situation, you should not worry. We just need to communicate with the child more and find out the reason why the child is not learning well.
The teacher asks the children to work on the blackboard.
Mathematics is responsible for developing children's arithmetic skills and children's ability to apply knowledge. How to learn math in high school? It still depends on the student's understanding of mathematics.
Students should have their own learning methods, and you should not only grasp the content of the teacher's lesson, but also consolidate and deepen it in time after the class.
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Yes, of course, if high school math is really a mess (the so-called mess means that you can't even understand the basic concepts), you can't learn well in college. If the concept can be clarified, and it is not a dead brain (the so-called dead brain is to only talk about routines and not seek to create), the problem of the university is not big. Just as learning Olympiad mathematics in primary school has little impact on future mathematics learning.
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It has an impact, and it is obvious that if you are a non-science major in college, the mathematics you study is nothing more than big.
1. Calculus in the sophomore year, mathematical statistics and probability theory in the junior year, these are all derivatives of high school mathematics, and college mathematics is relatively simple.
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Yes, and it has a big impact. Therefore, whether it is high school math or college math, you should study it well.
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A: The impact is very significant. Mathematics knowledge in college is based on high school mathematics knowledge, and mathematics knowledge is also required in other subjects, such as calculus.
If you don't have a solid foundation in high school mathematics, it's really hard to understand in college high math classes. I hope you will spend more time in mathematics to lay a good foundation for higher level knowledge at university.
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Senior Secondary Part: Functions (Compulsory 1), Trigonometric Functions (Compulsory 4), Geometry of Space (Compulsory 2), Probability and Statistics (Compulsory 3), Number Sequence, Fundamental Theorems of Trigonometry (Compulsory 5), Derivatives, Integrals (Optional 2-2), Binomial Distributions, Fundamental Theorems of Counting (Optional 2-3), Coordinate Systems (Optional 4-1), Inequalities (Optional 4-2).
University Section: Fundamentals: Discrete Mathematics (Personal Knowledge).
1. Analysis: Mathematical Analysis, Fourier Analysis, Complex Analysis, Functional Analysis, 2, Algebra: Linear Algebra, Modern Algebra, Matrix Analysis.
3. Geometry: analytic geometry, differential geometry, topology.
4. Probability and Statistics: Fundamentals of Probability Theory Numerical Analysis Stochastic Processes 5, Differential Equations: Ordinary Differential Equations Partial Differential Equations The derailment of high school mathematics and college mathematics in the dynamical system is more serious, it is very good to have this idea, there are more mathematical directions, I hope it does not scare you, more specific can be a private chat, I wish you success in your studies.
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High school mathematics consists of three parts: algebra, trigonometry, and geometry. The content is independent of each other, but the solution often provides each other with methods, and you will know it in the third year of high school. Compulsory:
The algebra section has: 1 Sets and simple logic. In fact, it is a set, a proposition, and three points of sufficient conditions, and it is very simple that the college entrance examination will not single out this kind of question 2 function.
First, for the description of the function, there is a mapping definition domain corresponding to the law planting domain; Then there are the properties, three, monotonicity, parity, periodicity; Finally, there is the exponential function and the logarithmic function, which are two basic functions, and their properties and images are to be studied in the 3 trigonometry. Trigonometry is actually a tool, it's more annoying, and the formula is memorized and then practiced more with the rolling melon is ripe 4 geometry. That is to say, plane analytic geometry, which is the study of plane geometry problems quantitatively by coordinate method.
Learn a few definitions, then the equations of straight lines, the equations of circles, and the equations of conic curves. The focus of the college entrance examination is generally on common functions, commonly used hyperbolas + straight lines, sequences, trigonometry, binomial theorem, solid geometry, permutations and combinations, plus probability, and other knowledge is a relatively small part The important thing is the foundation If you are in the first year of high school, you must be proficient in the basic problem-solving methods in class, and you can't forget that it will be very troublesome to practice in the third year of high school, and don't ignore the concept Often many questions are tested on the concept The difficulty depends on the liberal arts and sciences, but 70% of the questions must be done with basic knowledge, and 20% need to combine various knowledge and use the brain Only 10% of the questions are really difficult
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