Is there a trilemma for upgrading to higher mathematics? Is it easy to learn without a foundation?

Shandong Advanced Mathematics.

Difficulty: Easy).

Understand and be proficient in functions, limit, continuous, differential calculus of unary functions, indefinite integrals.

Fixed-integral basic question types and solution methods. Knowledge or comprehension of ordinary differential equations.

The basic concepts, basic theories and methods of solving typical problems in multivariate function differentiation. Learn about double integrals.

Vector Algebra and Spatial Analytic Geometry, the basic concepts and basic theories of infinite series.

If you don't have a foundation, you must learn the knowledge systematically, so that you can have rules to follow and evidence to follow when you do questions in the future; For the textbook, you must read it carefully, look at it repeatedly, and the blind spots that appear when doing the questions are because the knowledge points are not detailed enough.

So what is called meticulousness? After learning, there will be a lot of marks in the textbook, these marks do not refer to scribbling, but your combing of knowledge points, many classic examples in the textbook, after doing it, you must quickly analyze the reasons for the mistakes and develop good habits.

It must be emphasized here that when reviewing the system, we must refer to the outline of the current year (the current year's did not come out can refer to last year's, and the content will generally not change much) to check and fill in the gaps.

It's a little hard, but if you study hard, you can still learn it.

The post-secondary entrance examination refers to the selection examination for students at the junior college level to enter the undergraduate level of study, and is an examination system for post-secondary students to enter undergraduate colleges and universities in the education system of Chinese mainland. There are two types of post-secondary education: the first type is the general higher education post-secondary upgrade (also known as the unified enrollment post-secondary upgrade), which is limited to junior college graduates from all provinces, municipalities directly under the central government, and full-time ordinary colleges and universities (unified admission).

It is very difficult to upgrade to a higher level. Advanced mathematics refers to a part of the complex objects and methods of mathematics compared with elementary mathematics and secondary mathematics, and the algebra, geometry, and simple set theory and logic in middle school are called intermediate mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in college. It is generally believed that higher mathematics consists of calculus, more advanced algebra, geometry, and the intersection between them.

The post-secondary level is equivalent to the high school level.

If you take the math test, the difficulty is not very high, and most of the math difficulty is about the level of the first and second years of high school. Of course, as a student, you must be fully prepared in mathematics, especially in ordinary times, you must brush more math problems, so as to improve your math score.

Study advice

1. Do more exercises.

Most of the questions in the advanced math test are conventional calculation questions, and the strength of the computing ability determines the success or failure of the exam. Numeracy also includes the ability to perform numerical calculations using a calculator, and candidates should consciously develop the ability to use a calculator to perform numerical calculations through practice. Logical thinking ability is the core of mathematical ability, and numeracy ability is the basic ability to solve problems.

Therefore, in the pre-examination review, candidates should continuously improve their logical thinking ability, calculation ability, spatial imagination ability, and ability to analyze and solve problems using the mathematical knowledge and methods they have learned through moderate and appropriate exercises, which is one of the ways to improve the efficiency of mathematics review for college upgrades.

2. Methods are important.

Candidates for the college upgrade should master the knowledge points that often ask questions, do a certain number of typical exercises, gradually deepen their understanding of the basic concepts, memorize the basic formulas, master the basic methods, summarize the rules of problem solving, and effectively improve the ability to solve problems.

Through practice, it is necessary to distinguish and analyze the basic concepts, basic theories, and basic properties from one to the other, from the surface to the inside, pay attention to summarizing the methods of problem solving, draw inferences from one another, and touch on the analogy. Students should start from their own actual situation, use their brains more, and master the correct learning methods in order to get twice the result with half the effort.

3. Learn to summarize.

It is not enough to do questions for high math review, but more importantly, we should summarize some methods and skills for solving problems by doing questions. After completing the questions, summarize what you made wrong and why, what new methods and ideas, newly derived formulas and theorems, etc., and organize them all in a notebook for review and memory.

Medium difficulty.

Laying a good foundation is the key, just like building a house, the first thing to do is to lay a good foundation, if the foundation is not good, no matter how beautiful the house is, it is futile to repair, and the same is true for high numbers.

Many students think that the basic theorems, principles, formulas and definitions do not need to be read, let alone understand, this idea is not right, and the important reason why many candidates lose points is that they do not have an accurate understanding of the basic concepts and theorems, and they do not have a good grasp of the most basic methods in high mathematics, which brings difficulties in thinking to solving problems.

Precautions for advanced mathematics in post-secondary education.

Candidates should strengthen their understanding and mastery of the basic concepts, basic methods and basic skills in advanced mathematics, and strive to improve their ability to analyze and solve problems using mathematical knowledge, especially the ability to comprehensively use knowledge to solve practical problems.

Strengthen practice, familiarize yourself with the various question types in the exam, and master the methods and skills of solving different question types such as multiple-choice questions, fill-in-the-blank questions, and answer questions. In the exercises, we should pay attention to analyzing, summarizing, inducting, and analogy, master the correct methods of thinking about and dealing with problems, and seek general rules for problem solving, so as to improve the ability to solve problems.