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Answers to exercises after class in mathematical modeling
The defense is still a procedure in the competition. Just because you received a reply doesn't mean that you won the prize. I hope you can submit your defense on time and win the prize.

Ways to learn mathematics well:

1, to learn mathematics well, we must first develop the habit of previewing. This is a good way for me to study mathematics for many years, because I know what I can't do by learning what the teacher should say first in advance, and I have a focus when I study. Of course, it would be better if you taught yourself completely.

2. The second is to do the questions after the book. Preview is not an end. If you have time, you can do examples and exercises after class and check the preview. If you can explain everything, you can learn it. Even if you can't, you can listen to the teacher again.

Step 3, do the homework assigned by the teacher and do it carefully. When you do it, you can write the problem-solving process directly next to the topic, such as multiple-choice questions and fill-in-the-blank questions, because there are many blanks to write in the solution. The advantage of this is that the teacher can keep up with the ideas when talking about the topic, and it is not easy to get distracted.

Ways to learn mathematics well:

1. Mathematics, like other disciplines, has many conceptual things. The basis of learning mathematics well is to understand what the definition is about.

For example, the meaning of square, cube and absolute value in mathematics. We know that a square is the product of two identical numbers. Of course, a cube is the product of three identical numbers, and the absolute value is a value greater than or equal to 0. Knowing the true meaning of the definition, we took the first step and laid a solid foundation for the following study.

The difference between mathematics and other subjects is that there is no need to memorize, because mathematics does not test questions, but calculates, which is the biggest difference. How to practice specifically.

Many problems in mathematics are based on definitions. As I said before, once you understand the definition, it's easy to start. For example, if you want to merge similar items, you must first define them, that is, similar items. Simply put, it is something that everyone has. If you understand the definition, you will get twice the result with half the effort.

As I said before. Mathematics is not learned by rote, but worked out with a pen. Therefore, for a formula or a definition, only by doing a few more questions about this problem can we use it naturally and truly understand its meaning.