Why don't students in the Department of Mathematics think 'Advanced Mathematics' because they think it's too easy?
Netizen one:
Advanced Mathematics, that is, "Advanced Mathematics", is considered a peak by many non-mathematics majors. But mathematics majors generally do not study advanced mathematics, they study "Mathematical Analysis", "Advanced Mathematics" is just a simplified version of "Mathematical Analysis" after removing most of the theoretical derivation.
The difficulty of the two is very different, and the students' learning attitudes are also very different. Although advanced mathematics is simple, it is too simplified. For non-mathematics majors, except for a few academic masters who can handle it well, most of them are very difficult to learn. They know it but don't know why. . Advanced mathematics is to lay the knowledge foundation for these students to learn other professional courses, such as physics, which requires a lot of calculus knowledge. Western economics also has a large number of high-number models. However, due to the general poor learning of advanced mathematics, it will also hinder their understanding and application of related knowledge in subsequent courses.
Netizen two:
Advanced mathematics is too simple, just a mixture of some mathematics, we study seventeen mathematics courses. I am in the mathematics department, and every branch is very fine. It's not the kind of generalized high number that mathematics majors learn. We will break down: Advanced Algebra, Mathematical Analysis, Analytic Geometry, Computational Geometry, Differential Geometry, Numerical Analysis, Data Analysis, Mathematical Logic, Mathematical Statistics, Probability Theory, Topology, Abstract Algebra and more.
Isn't this the same as not studying <University Physics> in the Department of Physics? We study physics to learn mechanics, thermology, atomic physics, thermodynamic statistics, optics, electrodynamics, quantum mechanics and so on.
Netizen three:
Advanced mathematics is not a subject of mathematics, but a simplified version of many disciplines brought together. To put it bluntly, it is the most basic principle of advanced mathematics for educating engineering students. This is not the case for mathematics majors. You must grasp all the knowledge points of mathematics. In short, learning advanced mathematics is an amateur. Mathematics is a major of study.
In a narrow sense, advanced mathematics refers to the deletion of part of the mathematics courses "Mathematical Analysis", "Advanced Algebra", and "Probability Theory and Mathematical Statistics", and the difficulty is simplified for non-mathematics majors in universities, engineering, agriculture, economics and other different majors. students learn. The corresponding courses are: "Advanced Mathematics", "Linear Algebra", "Probability and Statistics", etc. In a broad sense, it refers to various university mathematics courses required for non-mathematical students. In addition to the above courses, there are also "calculus" (also known as advanced mathematics), "numerical analysis", "complex function", "discrete mathematics" , "Operations Research", "Analytical Geometry" and more than ten major courses.