Which is more difficult to solve, multivariate statistical analysis and partial differential equatio

Personally, I think it is numerical analysis, multivariate statistics are easy to understand, and numerical analysis is a bit boring.

Personally, we feel that multivariate statistical analysis, because partial differential equations are actually a kind of normal equations, we will have a familiar feeling;

However, multivariate statistical analysis is basically not in contact with ordinary times, and even less after the college entrance examination, so there is no sense of familiarity.

The values for multivariate statistical analysis and bias are still relatively simple.

I study multivariate statistics, and I feel that it is more difficult for me. But the idea is still relatively simple. It's just that theoretical derivation is a little more difficult, and if you are not a math major, don't choose multivariate analysis.

The application of mathematical statistics is mostly used to deal with practical problems, and the theoretical requirements are not very high, and it is relatively simple.

The latter multivariate statistical analysis is more difficult to learn!

It's a mathematics department, and I'll first introduce you to our main mathematics course arrangement:

Year 1: Mathematical Analysis (1,2), Analytic Geometry, Advanced Algebra.

Year 2: Mathematical Analysis (3), Ordinary Differential Equations, Complex Functions, Differential Geometry, Probability Theory and Mathematical Statistics, Operations Research.

Year 3: Mathematical Physics Equations, Mathematical Models and Mathematical Experiments, MATLAB and Mathematica Software, Numerical Analysis, Time Series Analysis, Modern Algebra, Topology, Real Functions and Functional Analysis, Selected Lectures in Modern Analysis.

Year 4: Numerical solution of partial differential equations, multivariate statistical analysis, matrix analysis.

And then a little bit about my personal opinion:

To enter the course of the Department of Mathematics of the University, the first thing is to learn 'Mathematical Analysis' and 'Advanced Algebra', which are the two thresholds for entering the University Mathematics, and I don't think I can pay too much attention to it.

When it comes to the systematization of knowledge, I think the next few courses are more important:

Analysis: Fractional, complex, ordinary, micro, micro.

Algebra: high algebra, modern algebra.

Geometry: analytic geometry, differential geometry.

The Science of Uncertainty: Probability and Statistics, Stochastic Processes.

Three foundations of modern mathematics: real variable function, functional analysis, and topology.

These are the basics, and with these foundations, you can choose your preferred direction to study in depth. : Basic mathematics, including number theory, algebra, geometry, topology, function theory, partial differential equations, etc.

Applied mathematics includes operations research, cybernetics, etc. In computer mathematics, there are numerical calculations of partial differential equations, nonlinear differential equations and their numerical solutions, and numerical methods of finite element boundary elements.

In the following lessons, I think the courses with order are:

Learn complex and ordinary micro first, and then learn the micro.

Learn consolidation first, then functionals.

Learn generalizations first, then time series and multivariate statistics.

Learn numerical analysis first, and then learn partial differential numerical solutions.

Other feelings are not very dependent.

Mathematics is the study of concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, it is generated from counting, calculating, measuring, and observing the shape and motion of objects. Mathematicians have expanded these concepts in order to formulate new conjectures and to establish rigorously deduced truths from appropriately selected axioms and definitions.

The science that studies quantitative relationships and spatial forms in the real world. To put it simply, it is the science of numbers and shapes. Due to the demands of life and labor, even the most primitive peoples knew simple counting, and developed from counting with fingers or objects to counting with numbers.

The knowledge and application of basic mathematics is always an indispensable part of individual and group life. The refinement of its basic concepts can be seen in ancient mathematical texts in ancient Egypt, Mesopotamia, and ancient India. From then on, there was a steady stream of progress until the Renaissance in the 16th century, when mathematical innovations in response to new scientific discoveries led to an acceleration of knowledge to the present day.

Today, mathematics is used in different fields around the world, including science, engineering, medicine, and economics. The application of mathematics to these areas is often referred to as applied mathematics and sometimes provokes new mathematical discoveries and leads to the development of entirely new disciplines. Mathematicians also study pure mathematics that has no practical application, even if its application is often discovered later.

Founded in the thirties of the twentieth century, the Bourbaki school in France believes that mathematics, at least pure mathematics, is the study of abstract structures. Structure is a deductive system based on initial concepts and axioms.

According to the Cloth School, there are three basic abstract structures: algebraic structures (groups, rings, fields......Sequence structure (partial order, full order......Topology (neighborhood, limits, connectivity, dimensionality......）

First, your idea is good; Very ideal.

However, there are a few questions to consider: What are you teaching yourself math for? Because there is too much mathematics content, the mathematical knowledge that needs to be learned is different for different fields.

If your idea is to understand all aspects of mathematics and want to learn it all the way, or follow the history of mathematics step by step, that's a difficult thing to do. Even if you graduate with a math major, you don't necessarily know much about 20th century mathematics. There's a lot to learn about the 19th century!!

How's your foundation?

It will be much easier to learn the basics, but there will still be many, many difficulties.

Second, I have good grades with the Department of Mathematics.

To be honest, I didn't study mathematics either, and the foundation of middle school was okay, and I just wanted to learn this and that when I first went to college, I bought a lot of mathematics textbooks by myself, and now I have graduated from graduate school, and I basically didn't learn which mathematics I was proficient in. They all have a general idea of what is going on, but they don't have the ability to use it to solve practical problems in their field.

Hope it helps.

Functional analysis of real functions is more difficult. It can be placed at the end of the study. Then there are the incomplete subjects you mentioned, what you said is all about analysis and algebra, this one still lacks abstract algebra, and there is also geometry, advanced geometry, differential geometry, and analytic geometry.

There is also probability and statistics, and so on.