It is most important to find a suitable learning method, so as to maximize the review efficiency. Many people are interested in "how can I learn this course well?" I feel confused. Based on the teaching experience of teachers and students in the teaching and research section for many years, Wan Xuehaiwen explains the learning methods of advanced mathematics for everyone, hoping to help the students who took the postgraduate entrance examination in 20 14.
Review method of "Advanced Mathematics Foundation";
First, understand the concept mastery theorem.
There are many concepts in mathematics. Concepts reflect the essence of things. Only by figuring out how it is defined and what its essence is can we really understand a concept. All the questions can only be done well on the basis of understanding.
Theorem is a correct proposition, which is divided into two parts: condition and conclusion. In addition to mastering its conditions and conclusions, we should also understand its scope of application and be targeted.
Second, textbook exercises should be done well.
Especially remind learners that the examples in the textbook are very typical, which is helpful to understand concepts and master theorems. Pay attention to the characteristics and solutions of different examples, and do appropriate exercises on the basis of understanding examples. When writing a topic, you should be good at summing up-not only the methods, but also the mistakes. You will gain something after doing this, so you can draw inferences from others.
Third, sort out the context from a macro perspective.
We should have an overall grasp of the knowledge we have learned and summarize the knowledge system in time, which will not only deepen our understanding of knowledge, but also help us to further study.
Advanced mathematics includes calculus and solid analytic geometry, series and ordinary differential equations. Calculus is the most systematic and widely used in other courses. The theory of calculus was completed by Newton and Leibniz. (Of course, calculus has been applied before them, and the postgraduate training is not systematic enough. )
Mathematics preparation must have a review plan, which is a careful and feasible plan. According to the plan, step by step, no surprise, cramming.
Reasonable arrangement of review time for advanced mathematics;
In fact, mathematics is a basic subject, and the improvement of problem-solving ability is a long-term accumulation process, so the review time should be appropriately advanced and step by step. The review will begin in March and April. If the math foundation is poor, the review time can be advanced appropriately. Review must have a feasible plan to ensure the progress and effect of review through planning. Generally, review can be divided into four stages, and the starting and ending time of each stage and the tasks to be completed are defined by the candidates to ensure the feasibility of the plan.
The first stage is to delimit the scope of political review for postgraduate entrance examination according to the examination syllabus, systematically review the necessary basic knowledge of the examination on the basis of familiarity with the syllabus, and understand the basic content, key points, difficulties and characteristics of postgraduate entrance examination mathematics. This time period is generally set before June.
The second stage is to do a certain number of questions on the basis of the first stage, focusing on solving the problem of thinking. Usually from July to October. At this stage, we should pay attention to induction and summary, that is, after getting the questions, we should know from what angle and solve them in several steps. It is not required to write a complete step for each question. As long as you have an idea, the operation process will be done well, and you can master it flexibly according to the situation, thus saving time for reading more questions. Multiple-choice questions can be real questions over the years or exercises in books, but the real questions must be done in strict accordance with the requirements of the real questions, and the characteristics, solving ideas and operating steps of the real questions should be grasped.
The third stage is the actual training stage, from 1 1 month to1mid-February, which is also a very important stage before the exam. Candidates should sort out the knowledge points required by the syllabus, recite formulas, systematically make several sets of simulated test papers, conduct actual combat training, and review their scores by self-test. Before doing the simulation, we should systematically memorize and master the basic formulas, and pay attention to the quality, speed, strict steps, format and accuracy of calculation. The final stage is the sprint before the exam, from/kloc-0 to the exam in late February. In view of the problems in the process of doing the simulated test questions, we will give the final counseling, check the missing and fill the gaps, and take the test in the best state.
Learning mathematics well is a long-term process, and it is impossible to be opportunistic. Therefore, it is not advisable to make a surprise attack before the exam and cram for Buddha's feet temporarily. Only by making down-to-earth preparations according to one's own plan can the postgraduate entrance examination be constantly changing. As long as the comprehensive ability is improved, no matter how the exam changes, you can get good grades.
Mathematics learning should make progress every day, and there should be several problems every day. Don't engage in sea tactics, but it is also necessary to improve actual combat experience by doing problems. First of all, we should have a big learning framework, and then plan how to study every day, do problems in that area every day, and check for leaks and fill gaps regularly. Only in this way can learning be truly effective.