First, the American University Graduate Mathematics Branch
There are nine branches of basic mathematics, applied mathematics, analytical mathematics, logic, algebra, geometry, discrete mathematics, statistics and topology.
(1) Basic mathematics studies the inherent laws of mathematics itself, which is relatively theoretical.
(2) Applied mathematics studies how to apply mathematical knowledge to other practical fields.
(3) Analytical mathematics studies the application of mathematics in the physical world and discovers the laws of nature.
(4) Logic studies the regularity of things or events.
(5) Algebra studies the algebraic operation theory and method of numbers and words.
(6) Geometry studies the mathematical relations of spatial regions.
(7) Discrete mathematics is a mathematical discipline that studies the structure of discrete quantities and their interrelationships, and it is an indispensable compulsory course for many professional courses in computer science, such as programming language, data structure, operating system, compilation technology, artificial intelligence, database, algorithm design and analysis, theoretical computer science foundation, etc.
Statistics is the science of collecting, processing, analyzing and interpreting data and drawing conclusions from the data.
(9) Topology is a branch of mathematics developed in modern times to study continuity phenomena.
Second, China students have more choices in applying for postgraduate mathematics majors.
On the one hand, if China students are interested in mathematical theory itself, they will choose to apply for basic mathematics, geometry, algebra and other branches with outstanding theoretical research;
If students consider practical application, they will choose to apply for applied mathematics, discrete mathematics, statistics and other sub-disciplines.
In addition, mathematics is a relatively theoretical subject, and it is better for students majoring in mathematics or computer science to apply for it, but it is more difficult for students who are not majoring in mathematics to apply for it at the undergraduate level.
Third, graduate school.
Mathematics belongs to the basic discipline of science and engineering, and schools generally pay full attention to it. There are many graduate schools with strong mathematical strength in the United States. In addition to the top ten universities, some schools with low comprehensive rankings also have their own strengths and advantages in mathematics, such as the University of Minnesota, Purdue University, seattle university, Ohio State University, Bloomington University in Indiana, Texas A & amp； M University, University of Illinois at Urbana-Champaign, University of Utah, University of California at Davis, University of California at Irvine, Boston University, North Carolina State University, etc.
1, University of Minnesota
The applied mathematics major of the University of Minnesota is relatively strong, and the Institute of Mathematics and Its Application (IMA) is located in the University of Minnesota. Postgraduates in this school have more opportunities to directly participate in international seminars on applied mathematics or directly communicate with masters in the field of applied mathematics.
In addition, the graduate school provides teaching assistant opportunities for students majoring in mathematics, but students need a TOEFL score of not less than 23.
2. University of Washington at Seattle
Relying on its geographical advantages, the University of Washington at Seattle is strong in many disciplines. The applied mathematics of interdisciplinary research (such as fluid mechanics, atmospheric ocean modeling, mathematical biology) among graduate students is super strong, and they have close cooperation with Microsoft and Boeing.
Applicants need to have rich experience in related disciplines.
3. Indiana University at Bloomington
The Graduate School of Mathematics of Indiana University in Bloomington has many mathematics professors who study partial differential equations, and the research of mathematics specialty is also biased towards applied mathematics. The Applied Mathematics Center of the Graduate School of Mathematics of Indiana University mainly studies the combination of computer and mathematics, and the Graduate School of Mathematics also cooperates with the School of Physics to offer doctoral programs in mathematical physics.
4. Texas A & amp； M university
Texas a & amp； M University is a typical super-strong engineering school in the United States, so the graduate school of mathematics opened by this school is closely integrated with the research of engineering disciplines, and the mathematical research is biased towards computer science and engineering, materials, fluids, imaging and other calculations.
5. University of Arizona
The Department of Mathematics at the University of Arizona is very famous and has trained many famous professors and researchers for the field of mathematics.
The department of mathematics has a huge discipline system and complete categories, and also provides graduate teaching assistants, but students are required to have a TOEFL score of 26 or above.
6. Boston University
The advantages of Boston University's Graduate School of Mathematics lie in the fields of applied mathematics, calculation and biology, applied probability, statistics and biostatistics. The number of China students in this school accounts for about one fifth of the total number of students, and the teacher-student ratio is 4:5. For China students, the competition for applying for postgraduate mathematics is very fierce. Students who want to apply must have at least a TOEFL score of 100.
7. North Carolina State University
The Graduate School of Mathematics of North Carolina State University is strong in engineering, statistics and operation. The close relationship between the school and various industries in the Golden Triangle makes the development of its mathematics major all-round and three-dimensional.
The team of professors who study mathematics in all directions is very neat. Schools can not only cultivate academic graduate students, but also pay attention to improving the research and development ability of graduate students who combine mathematical knowledge with practical application.
Fourth, employment prospects.
Mathematics belongs to the basic discipline of science and engineering, and graduates majoring in mathematics can choose a wide range of industries and fields. Many actuaries who are very popular in the United States are from mathematics majors. At home and abroad, actuaries have attracted many people's attention for their high employment rate and high salary. To be a qualified actuary, you need to have a solid mathematical foundation, be able to skillfully use modern mathematical methods and data to analyze and judge the future trend, have a keen insight into risks and the ability to deal with various controllable risks. Therefore, a good professional background in mathematics can undoubtedly enter the role quickly in the employment in this field. In addition to actuaries, as the "parent major" of other related majors, graduates also have innate advantages in the following occupations:
(1) Numerical calculation analysts, animation simulators, software developers and 3D animation producers of IT, energy and film companies.
(2) Network optimization engineer in logistics field, aerospace fluid dynamics modeling, and scientific research data analyst.
(3) Mathematics teachers in the education system.
(4) Jobs involving mathematics application in finance, insurance, banking, real estate, medicine and other industries.
What are the subdivision directions of studying in the United States for mathematics majors? Introduce it here, hoping to help the applicant.