First, the typical curriculum of American mathematics major
combinatorial mathematics
differential equation
Discrete mathematics
Statistical principles of elementary statistics
linear algebra
mathematical modeling
Modern algebra modern algebra/abstract algebra
Modern geometry
Multivariable calculus
number theory
Real number analysis
Univariate calculus
Topology topology
Second, the subdivision direction of American mathematics major
Basic mathematics pure mathematics
Introduction to analysis, linear algebra, abstract algebra, complex variable function, etc.
applied mathematics
Statistics, mathematical biology, mathematical physics, economic mathematics, quantitative finance, etc.
Mathematics and computer mathematics and computer science
Computer programming, numerical methods, operating system design, etc.
Teaching concentration in mathematics teaching
Curriculum teaching in primary and secondary schools, history of mathematics, etc.
Insurance statistical calculation science
Microeconomics, macroeconomics, insurance management, risk management, etc.
With the combination of mathematics and various majors in recent years, some schools have also set up more subdivided majors for students to choose from, such as operational research, mathematical economics, financial mathematics, risk management and so on.
Three, the United States mathematics professional application conditions
1 hardware requirements
Language scores: TOEFL and GRE are two required language tests for applying for mathematics majors. According to different rankings, schools have different requirements for language scores. TOEFL requirements of the top 30 schools 100+. For GRE, although each school has not given a minimum score requirement, for students who want to apply for prestigious schools, they still have to work hard on the GRE exam.
GPA: The top 70 schools require a GPA of 3.0/4.0 or above. Students who want to apply for scholarships must have a GPA of at least 3.5/4.0. Therefore, if you want to apply for a good school, you must constantly strive to improve your GPA during your school days.
2. Soft background
In addition to grades, the degree of mastery of mathematics professional knowledge, whether you have participated in domestic or foreign mathematics competitions, whether you have won grand prizes, whether you have done research reports on mathematics papers, etc. It is an important reference for the applicant institutions to judge the students' level, and it is also an important reference for deciding whether to enroll. Therefore, please do your best.
4. Recommended by American mathematics institutions (according to the 20 19 ranking of American mathematics majors)
1. Princeton University Princeton University
2. Harvard University Harvard University
2. Massachusetts Institute of Technology MIT
2. Stanford University
2. University of California at Berkeley
2. University of Chicago University of Chicago
7. Columbia University Columbia University
7. University of California, Los Angeles
9. California Institute of Technology California Institute of Technology
9. new york University new york University
9. Yale University Yale University
12. University of Michigan at ann arbor.
12. Cornell University
14. Brown University Brown University
14. University of Texas at Austin
16. Duke University
16. University of Pennsylvania University of Pennsylvania
16. University of Wisconsin-Madison
19. University of California, San Diego
19. University of Illinois at Urbana-Champaign
19. University of Minnesota Twin Cities.
Johns Hopkins University
22. Northwest University Northwest University
22. Rutgers University, New Jersey State University-Rutgers University, New Brunswick.
22. University of Maryland at Park.
26. Georgia Institute of Technology Georgia Institute of Technology
26. Ohio State University Ohio State University
26. Purdue University-Purdue University in Western Lafayette
26. Rice University
26.SUNY State University at Stony Brook.
26. University of Washington University of Washington
Carnegie Mellon University
32. Penn State University-University Park Penn State University
34. Indiana University at Bloomington.
34. University of California, Davis
34. University of North Carolina at Chapel Hill.
34. University of Utah
34. Washington University in St. Louis
39. Texas A&M University. M university-college station Dezhou A&M university kacheng campus
39. University of California, Irvine
39. University of California, Santa Barbara
39. University of Illinois at Chicago.
Notre Dame University.
44. Graduate School of City University of New York and Graduate School of University Center.
44. University of Southern California
Vanderbilt University
47. Boston University Boston University
47. brandeis University
47. Michigan State University
47. University of Arizona
47. University of Colorado at Boulder
47. University of Virginia