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Listen carefully in class and practice more after class.
Mathematics: Theorems in textbooks, you can try to reason on your own. This will not only improve your proof ability, but also deepen your understanding of the formula.
There are also a lot of practice questions. Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework).
Listening: You should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary
Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and study together with similar reference books for example problems, learn from others' strengths, increase knowledge, and develop thinking
**: To learn to think, after the problem is solved, then explore some new methods, learn to think about the problem from different angles, and even change the conditions or conclusions to find new problems
Homework: Review first and then homework, think first and then start writing, do a class of questions to understand a large piece, homework should be serious, writing should be standardized, only in this way down-to-earth, step by step, in order to learn mathematics well
In short, in the process of learning mathematics, we should realize the importance of mathematics, give full play to our subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well
In short, it is a process of accumulation, the more you know, the better you learn, so memorize more and choose your own method.
Good luck with your studies!
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Self-study! The time in class is bullshalt by the teacher, and 90% of it depends on your own hard work!
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It is recommended that you learn computer or mathematical modeling while learning advanced mathematics, computers have a lot of algorithm problems using mathematics, and digital modeling can make mathematical modeling, which can make the originally more abstract problems concrete, and many problems in the digital model are relatively close to life, which is easy to stimulate interest in learning. Of course, this is just my personal suggestion, in short, you have to know what you are more interested in, and use your own interest to drive yourself to what you are not interested in. (Rookie appearance, ugly and ugly).
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On the one hand, we have been exposed to decent mathematics since childhood, exams, etc., on the other hand, the mathematics major in college is very different from the mathematics we have been exposed to in the past, and the mathematics knowledge in high school is often simple to understand, and it is rare to accumulate various skills and routines, but the college mathematics major pays more attention to the understanding, demonstration and application of the knowledge itself. If you can connect well and put in a certain amount of effort, I think most students can still ensure that they can pass the exam and graduate in time.
If you want to really learn a little bit of mathematics, it is a very difficult thing to do, and it takes a lot of time and energy.
Mathematics and applied mathematics, which include at least two directions, basic mathematics and applied mathematics are relatively speaking, and the more applied subjects should be slightly simpler.
The difficulty of learning mathematics is not as difficult as imagined, it is more difficult to learn the first few chapters of mathematical analysis, and some conclusions are the learning of junior high school and high school mathematics, but you need to use axioms to prove and reason, and let yourself doubt your IQ at this stage, this stage has passed mathematical analysis, advanced algebra, analytic geometry, abstract algebra, differential equations, topology, real functions, functional analysis, complex functions, probability theory and mathematical statistics, number theory, operations research, etc. Follow the teacher's rhythm, think more, study more, and you will definitely get good results.
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I am an undergraduate student at Tianjin University, and my current major is mathematics, which was a major enrollment at that time, and there is no major stream yet, but the majors that will be diverted in the future are data science and big data technology.
Data science and big data technology are interdisciplinary disciplines. Statistics, mathematics and computer science are the three basic disciplines, and biology, medicine, sociology, management and other disciplines are expanded. If you can learn well, you will become a compound talent.
The outlook is still quite good.
After graduation, students can engage in data science research and intelligent analysis, processing, mining and application of big data in various industries.
However, you must realize that mathematics in college is very rare compared to other subjects, you must have a clear understanding and grasp of your own ability, and not to mention how good you learned mathematics in high school, you can learn well in college, this is a very wrong idea, because elementary mathematics and mathematics majors in middle school are really not comparable at all, and the learning methods are different. (I'm struggling to study now, but to be honest, if you're willing to work hard, don't hang too many subjects, you can also have a graduation certificate, and in addition, the School of Mathematics is also very busy and tiring).
And I would also like to remind you that most of the questions in math majors are proof questions. Our basic courses include Mathematical Analysis, Advanced Algebra, Topology, Complex Variable Functions, Real Variable Functions, Abstract Algebra, Mathematical Statistics, Probability Theory, etc.
Fundamentals of the discipline.
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College mathematics is actually mainly calculus, although some universities like to call it "high mathematics", which means advanced mathematics, in fact, it is directly called calculus abroad! There's a little bit of analytic geometry, and of course, there's linear algebra and probability theory.
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He mainly studies advanced mathematics (mainly calculus), linear algebra (matrices, determinants, etc.) and probability theory and mathematical statistics.
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