As far as introduction is concerned, the subject of "Mathematics and Applied Mathematics" should be regarded as relatively difficult. On the one hand, we have been exposed to mathematics-related knowledge, exams and so on since childhood. On the other hand, the mathematics major in the university is very different from the mathematics we used to contact. High school mathematics knowledge is often simple and easy to understand, but it rarely accumulates various skills and routines. The mathematics major in universities pays more attention to the understanding, demonstration and application of knowledge itself. If we can connect well and make some efforts, I think most students can still guarantee to pass the exam and then graduate in time.
But as I said at the beginning, it is very difficult to really learn a little math, which requires a lot of time and energy. The subject can find many high-level resources on the Internet. After these two levels, we can continue to discuss the difficulty of mathematics and applied mathematics.
Mathematics and applied mathematics have at least two directions. Relatively speaking, basic mathematics and applied mathematics are slightly simpler.
The learning difficulty of mathematics major is not as difficult as imagined. It is difficult to learn the first few chapters of mathematical analysis. Some conclusions are learned in junior high school and senior high school mathematics, but they need to be proved and reasoned by axioms. At this stage, I doubt my IQ. This stage has gone through mathematical analysis, advanced algebra, analytic geometry, abstract algebra, differential equations, topology, real variable function, functional analysis, complex variable function, probability theory and mathematical statistics.
In order to make some useful contributions to mathematics, people must study hard; Have a precise and profound understanding of the knowledge in the field of mathematics; You should also know some knowledge and tools in other fields of mathematics. Ask more questions and communicate with other math researchers. It is necessary to think about mathematics in the overall concept.
School-based training plan and scheme for primary schools 1
I. Guiding ideology
In order to further promote the curricu