Mathematical analysis (2): two stars. Concrete theory is more difficult than mathematical analysis (1), mainly because of Riemann integrability and uniform convergence, which is almost the most abstract in the whole mathematical analysis. If you have studied indefinite integral in mathematical analysis (1), you should not encounter too many calculation problems here.
Mathematical analysis (3): Samsung. Well, it depends. The mainstream textbooks in China don't make multivariate calculus so clear. In fact, it needs to involve many linear algebras. It should be difficult to grasp the key points in a large number of calculations and understand linear algebra at the same time. As for the unclear situation, I don't think it will become easy, but it will lower people's IQ.
(high number: up and down two stars. This is not a math class at all, but a problem-solving class. These problems are not difficult or simple. Besides formulas, some skills are needed. )
Advanced algebra (1): two stars. Advanced algebra is a more abstract course than mathematical analysis, because the multidimensional linear space it studies is no longer the object with intuitive significance in the past. Fortunately, most of the exercises in this course are ordinary.
Advanced algebra (II): Samsung. Usually, this course will come into contact with the concepts of linear space and linear mapping in general fields, as well as linear space with measurement, which is abstract and contains more calculations.
Analytic geometry: one star. The usual course of analytic geometry only involves some special surfaces and quadric surfaces, which is not too difficult compared with analytic geometry and solid geometry in senior high school. There are many formulas, but now they can be derived. It is not difficult to understand as long as you read the textbook once.
Ordinary differential equation: two stars. Elementary solutions, higher-order equations and equations are all elementary, but the amount of calculation is relatively large. The difficulty of this course depends on how many natural theories will be involved and the difficulty of these parts of the exam.
Abstract algebra: four stars. There are many concepts that are difficult to establish an intuitive impression, such as normal subgroups and Sylow subgroups. It would be better if you knew the opportunity to establish these concepts. This course is more talented, and some ideas are beyond my comprehension.
Composite function: Samsung. It seems to be similar to mathematical analysis, but complex number set is more abstract than real number set, and this course also has more complicated skills than mathematical analysis. The skills of the past are now obvious.
Probability theory: a star. If only random events, random variables and multidimensional random variables appear in this course, then this course will always be elementary. The key is how many laws of large numbers to talk about and how difficult this part of the exam questions is.
Partial differential equation: five stars. This should be the most difficult lesson I have ever had. Both the concept and the implementation are very difficult, that is to say, it is abstract and requires a lot of calculation. I have never practiced alone in this class. If you start this course after functional analysis, it will be much more terrible.