1. Professional introduction
The teaching and research activities of Harvard University are closely related to mathematics, economics, computer science and statistics.
At Harvard University, researchers in the field of applied mathematics mainly try to accomplish the following three things:
A. Understand the mathematical concepts and techniques used in information analysis, elaboration or prediction;
B. the relationship between investigation model and observation;
C. Investigate the mathematical basis and limitations of the model and technology, and find the promotion scheme.
There are many observation angles of applied mathematics. One of them is to pay attention to the progress of mathematical methods. These methods have an impact on the application. Nonlinear partial differential equations form the basis of fluid mechanics, so this perspective will analyze nonlinear partial differential equations.
At Harvard University, people tend to examine applied mathematics in the context of application. In view of this, Harvard University believes that applied mathematics is an important application of mathematics in some aspects of human exploration.
2. Specialized courses of applied mathematics
The doctoral program in applied mathematics is rigorous in structure and coherent in content. The following is a list of courses given by teachers majoring in applied mathematics at Harvard University to doctors. These courses are not complete, and each student's academic plan needs to be reviewed and approved by CHD.
Computational mathematics, reasoning and optimization courses include the following:
Advanced scientific computing: stochastic methods of data analysis, reasoning and optimization, decision theory, data science, computing basis of computing science, statistical inference of engineering application, statistics.
Courses in the direction of machine learning and artificial intelligence include the following:
Inverse problems in science and engineering, advanced optimization, network and crowd computing, advanced topics of artificial intelligence, advanced machine learning, information theory and other computer science or engineering science courses related to student research.
Extended reading >
Applied mathematics focuses on manufacturing and researching mathematical tools and calculation tools widely used in science and engineering, and focuses on solving difficult problems faced in science and engineering and related fields. Applied mathematics has a wide range of fields, from ecological models to electromagnetic theory, from robots to meteorology.
This application can appear in any field of human activities. The most common are science, economics and engineering. Take Einstein as an example. Einstein applied the method of differential geometry to the space-time structure, thus establishing the theory of relativity.
Arrow deeply analyzed the limitations of democracy by calculating the decision probability that pure reason can't obtain. Blake, Shoals and Merton applied the random walk theory to the stock market, which laid the foundation for the formation of option prices. This paper describes an information resource to agricultural mathematics terms, which lays the foundation for the quantification of modern information technology.
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