Top 10 Universities for Master's & Doctoral Programs in Mathematics in the USA

The United States of America is a top destination for a wide variety of programs in Mathematics. Several Ivy League schools and premium institutes in the USA offer undergraduate, graduate and doctoral programs in Mathematics. The sheer quality of education, top-notch infrastructure, highly qualified faculty members, globally-acclaimed degrees, practical learning with enhanced career opportunities are some of the reasons that drive international students to pursue a Mathematics program in this country.

A degree in Mathematics is ideal for students passionate about analysing and interpreting data to solve real-life problems. Studying Mathematics allows you to understand the structure of complex problems and simplify it to arrive at a solution. One can see the application of Mathematics in almost every field, i.e., Engineering, Business, Operations, Finance, Medicine, Physics, Chemistry, Information Technology, Natural Sciences, etc. US universities typically offer graduate integrated PhD programs, and only a handful of them offer master's programs in Mathematics.

Let us look at the top 10 universities in the USA that offer Master's and PhD programs in Mathematics.

Top Universities in the USA for Master's & Doctoral Programs in Mathematics

1. Massachusetts Institute of Technology (MIT)

Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts
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Massachusetts Institute of Technology (MIT), located in Cambridge, Massachusetts, is regarded as one of the premium private research universities in the world. MIT was founded in 1861 with the purpose of accelerating the country's industrial revolution through education, research and innovation. This university has played a vital role in developing fundamental technologies, launching new industries and creating millions of jobs. MIT is ranked number 1 according to QS World Rankings of 2021 for its outstanding contribution to science, technology and education. The alumni of MIT include 96 Nobel laureates, 59 National Medal of Science winners and hundreds of other accomplished scholars.

The Department of Mathematics at MIT offers programs in Mathematics covering a broad range of topics that lead to the Doctor of Philosophy and the Doctor of Science degrees. There are two programs on offer - Pure and Applied Mathematics including basic and advanced courses in algebra, analysis, geometry, number theory, statistics, astrophysics, probability, numerical analysis, etc. The degree requirements consist of coursework, oral qualifying exam, classroom teaching and original thesis and defense.

Program List :

  • Doctor of Philosophy in Pure or Applied Mathematics

  • Doctor of Science in Pure or Applied Mathematics

Course Details :

  • Program Duration: 8 semesters (96 credit hours), Full-time

  • Admission Semester: Fall

2. Stanford University

Stanford University, San Francisco, California
Image Source: Wikimedia
Established in 1885, Stanford University is a private research university located in the San Francisco Bay Area, California. Currently ranked number 3 in the world according to QS World Rankings 2021, Stanford University is considered one of the elite academic institutes offering world-class education. With a mission of encouraging learning, discovery, expression and innovation, the university became operational in 1891, admitting its first set of students on October 1, 1891. Stanford’s educational excellence spans seven schools and research institutes in Law, Medicine, Business, Sciences, Education, Engineering, Humanities. The alumni of Stanford include 84 Nobel laureates, eight Fields Medallists and many more noteworthy personalities.

Stanford University’s School of Humanities and Sciences offer undergraduate, graduate and doctoral programs in Mathematics. Students need to enrol for a Bachelor of Science in Mathematics and transfer courses from the undergraduate program to a graduate program to qualify for a master’s degree. Students can further extend the master’s degree to a doctoral program after completing 27 units of graduate courses. The course plans have options of enrolling for Pure or Applied Mathematics.

Program List :

  • Bachelor of Science in Mathematics

  • Master of Science in Mathematics

  • Doctor of Philosophy in Mathematics

Course Details :

  • Program Duration: To be completed within 3 years

  • Admission Semester: Autumn

3. Harvard University

Harvard University, Cambridge, Massachusetts
Harvard University

Established in 1636, Harvard University is one of the most prestigious universities in the world, located in Cambridge, Massachusetts. Harvard University is a private Ivy League research university named after John Harvard, an English minister and its first benefactor. Consistently ranked among the top 5 universities globally, Harvard University achieved its academic excellence by focusing on learning, research, teaching, growth, and development. The university has its presence in 16 countries with 11 schools and multiple allied institutions.

Harvard University is a dynamic institute for Mathematics in the USA. Harvard's Graduate Mathematics Program is designed for promising students who aim to become research mathematicians. The Doctor of Philosophy in Mathematics is conferred for outstanding students who have mastered the basic techniques of Mathematics and the ability to conduct independent research. Students have to complete their graduate program and research leading to a PhD within 4 to 5 years.

Program List :

  • Graduate Program in Mathematics

  • Doctor of Philosophy in Mathematics (PhD)

Course Details :

  • Program Duration: To be completed within 4-5 years

  • Admission Semester: Fall

4. University of California, Berkeley (UCB)

University of California, Berkeley (UCB)
Image Source: Student Advocate’s Office – UCB

Founded in 1868, the University of California, Berkeley (UCB) is a prestigious public research university in Berkeley, California. UCB's 14 schools and colleges have over 40,000 undergraduate and graduate students enrolled in 350 programs offered by 184 academic departments. The university's campus sprawls across 1,232 acres of beautiful landscapes, historic architecture, a sylvan and stone complex surrounded by redwood forests. UCB's alumni include 110 Nobel laureates, 103 MacArthur Genius Grant recipients, 14 Fields Medalists, 30 Pulitzer Prize awardees, 19 Academy Award winners and other eminent personalities.

The Department of Mathematics at Berkeley University offers a MA program in Mathematics which is only open for their current PhD students. Students can choose either PhD in Mathematics or a PhD in Applied Mathematics and are expected to complete the doctorate in 5 to 6 years. Only competent students with an aptitude for conducting independent research are admitted for the PhD programs.

Program List :

  • MA in Mathematics

  • Doctor of Philosophy in Mathematics

  • Doctor of Philosophy in Applied Mathematics

Course Details :

  • Program Duration: 5-6 years

  • Admission semester: Fall

5. Princeton University

Princeton University, New Jersey, USA
Princeton University

Established in 1746, Princeton University is a reputed Ivy League research university located in Princeton, New Jersey. Princeton is one of the oldest educational institutions in the United States of America. The university was chartered before the American Revolution and officially became a university in 1896 and renamed Princeton University. Princeton offers undergraduate, graduate and doctoral programs in the areas of Arts, Humanities, Natural Sciences, Social Sciences, Mathematics, Computer Science and Engineering, Economics, Biological and Biomedical Sciences, and other vital fields of learning.

The Princeton University Department of Mathematics offers a graduate program in Mathematics directed towards research leading to a Doctor of Philosophy. An ''incidental'' Master of Arts (MA) in Mathematics is awarded to students on their way to full PhD candidacy who meet the specified language requirement.

Program List :

  • Doctor of Philosophy in Mathematics

  • Master of Arts in Mathematics

Course Details :

  • Program Duration: 4 years

  • Admission semester: Fall

6. University of California, Los Angeles (UCLA)

University of California, Los Angeles (UCLA)
University of California

The University of California, Los Angeles (UCLA) is a prestigious public research university located in the Pacific Coast of Los Angeles, California. Over 40,000 students are enrolled in undergraduate and graduate programs at UCLA. With its mission of creating, disseminating, preserving and applying knowledge, UCLA has become a pinnacle of academic and athletic excellence. The university takes pride in its vibrant alumni network and student body consisting of 15 Nobel Laureates, 119 NCAA championships, 15 MacArthur Fellows and other noteworthy personalities. UCLA's contribution to sports is highly remarkable, having produced more Olympic medallists than most nations.

The Department of Mathematics at UCLA offers Master of Arts (M.A.), the Master of Arts in Teaching (M.A.T.) and Doctor of Philosophy (PhD) graduate degrees in Mathematics. Students must complete their master's degree course requirements within two years, whereas doctoral degrees can be completed in 4 to 5 years.

Program List :

  • Master of Arts (M.A.) in Mathematics

  • Master of Arts in Teaching (M.A.T.) in Mathematics

  • Doctor of Philosophy in Mathematics

Course Details :

  • Program duration: 2 years for Master degree

  • Admission semester: Fall

7. New York University (NYU)

The New York University (NYU)
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New York University (NYU) is an esteemed private research university located in New York City. Founded in 1831, NYU has been a trendsetter in higher education, offering top-ranked undergraduate and graduate programs. NYU has 19 schools and colleges under its radar, including degree-granting campuses in Shanghai and Abu Dhabi, along with 11 study-away sites worldwide. A leader in global education, NYU admits more international students than any other university in the USA every year. NYU takes pride in its diverse student population as international students enrolled in degree programs come from 133 countries.

NYU offers a Master's degree in Mathematics that includes the basic curriculum with an opportunity to do specialized training in pure and applied mathematics. The Master's program encompasses fundamental courses on complex analysis, real analysis, linear algebra, probability, differential equations and scientific computing.

Program List :

  • Master of Science (M.S.) in Mathematics

Course Details :

  • Program duration: 3-5 years

  • Admission semester: Fall

8. California Institute of Technology (Caltech)

California Institute of Technology (Caltech)
Image Source: US News

California Institute of Technology (Caltech) is an independent private research university with a 124-acre campus in Pasadena, California. Founded in 1891, Caltech is renowned for its academic excellence in science and engineering, primarily devoted to pure and applied sciences. According to Times Higher Education World University Rankings, Caltech has consistently ranked among the top 5 universities globally (ranked #4 in 2021). The university is world-renowned for marshalling the most innovative tools and answering the fundamental scientific questions.

The Computing and Mathematical Sciences Department at Caltech offers an integrated graduate program in Applied and Computational Mathematics leading to a PhD degree. This interdisciplinary program provides comprehensive training in fundamental computational and applied mathematics. It encourages students to conduct independent research in application fields such as fluid mechanics, mathematical biology, materials science, engineering applications, etc. Upon completing the PhD program, students can pursue their careers in applied mathematics in academia, research institutes, or industries.

Program List :

  • Graduate + PhD in Applied and Computational Mathematics

Course Details :

  • Program duration: 3 – 5 years

  • Admission semester: Fall

9. Columbia University, New York City

Columbia University, New York City
Image Source: Columbia University

Columbia University in the City of New York is a highly-acclaimed private Ivy League research university. It was established in 1754 as the King's College by the royal charter of George II of Great Britain on the grounds of Trinity Church in Manhattan, in the city of New York. One of the oldest institutes for higher education, Columbia University is a distinguished research centre in the world. The university has played a crucial role in key scientific breakthroughs in the fields of nuclear magnetic resonance, brain-computer interface, the laser and maser. Columbia University takes pride in its prominent student body and alumni comprising hundreds of Nobel laureates, Fields medalists, Olympic medalists, and other noteworthy personalities.

The Department of Applied Physics and Applied Mathematics at Columbia University offers a Master of Science program in Applied Mathematics. Students have to complete five core courses and five electives to achieve the 30 points required to complete the program. The core courses include fundamentals of Applied Mathematics that contribute 15 points towards graduate credits. Students must meet the requirements for the master program within five years.

Program List :

  • MS in Applied Mathematics

  • Graduate PhD Program in Mathematics

Course Details :

  • Program duration: To be completed within 5 years (30 points)

  • Admission semester: Fall

10. University of Chicago

University of Chicago
Image Source: UChicago News

Established in 1890, the University of Chicago is a premium private research university located in the Hyde Park neighborhood of Chicago, Illinois. Also popularly known as UChicago, it is ranked among the top universities globally for its outstanding contribution to education and research. The University of Chicago has made major breakthroughs in the fields of Law, Medicine, Sciences, Economics, Business, Arts, History, Culture and Humanities through its eight professional schools and graduate research divisions. The university has continuously strived to bestow far-reaching knowledge to its student community and develop the critical thinking skills necessary for robust academic and career growth.

The Department of Mathematics of Uchicago offers a Master’s program in Computational and Applied Mathematics (MCAM). MCAM provides comprehensive learning in Computational and Applied Mathematics, covering courses on data analysis, linear algebra, dynamical systems, numerical methods, machine learning, partial differential equations, optimization, and applied probability. Students have the option of completing the course in 9 months without the master’s thesis and with the master's thesis in 15 months. If you wish to pursue a PhD, you can complete the requirements in 2 years, for which you need to opt for the master's degree with thesis.

Program List :

  • Master’s Program in Computational and Applied Mathematics (MCAM)

  • PhD Program in Mathematics

Course Details :

  • Program duration: 9 months to 2 years

  • Admission semester: Fall

Conclusion

The United States of America is home to prestigious universities that offer various programs in Mathematics. A Mathematics degree from a premium institute in the USA has immense value across the globe. We have listed the top 10 universities in the USA that offer master's and doctoral programs in Mathematics. The university information, course and program details, as well as links to course websites are provided in the article. You can go through them carefully and apply for the programs that suit your requirements.

Check out the top 10 universities in the USA for Master's and PhD programs in Economics.

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