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The undergraduate mathematics program encompasses the full range of pure and applied mathematics. The major is flexible at incorporating math-related coursework in nearby areas such as physics, machine learning, cryptography, and finance. The department provides students with opportunities for extensive experience with logical reasoning, generalization, and proofs to communicate sound arguments, as well as the creation and interpretation of mathematical models for reliable data analysis (such as in computer science and computational biology). Undergraduates can earn a major or minor in mathematics. Many mathematics majors earn a double major followed by either graduate school in mathematics or nearby fields, or a career in the corporate sector, tech industries, or government agencies.

The expertise among the faculty covers the traditional areas of pure mathematics (algebra, analysis, and geometry) along with fields nearer to computer science (such as probability and combinatorics) and applied mathematics. There are graduate courses in a wide array of areas at the introductory and advanced levels due to the breadth of the faculty, some of whom have a joint appointment in the statistics department. The department hosts many distinguished visitors throughout the year and there are numerous weekly seminars on topics related to contemporary research.

View highlights of the mathematics department's undergraduate offerings.

The program in Mathematical and Computational Science (MCS)* serves undergraduates who want to pursue data science and applied mathematics. Its faculty are drawn from computer science, engineering, and statistics, and the curriculum provides an understanding of mathematics in the context of the information sciences.

Students in MCS gain skills in computation, probabilistic modeling, statistical inference, and optimal decision-making. Thanks to the program’s interdisciplinary design, students learn to apply their expertise to problems in science and technology, as well as management and the social sciences. Graduates pursue professions that demand high competence within diverse technical frameworks and social environments.

*The MCS program will no longer be accepting students for the major and minor as of Aug. 31, 2022. The Data Science major replaces MCS effective Sept. 1, 2022. Currently enrolled MCS majors and minors will be able to complete their degrees.

Stanford’s Program in Data Science provides foundational knowledge for tackling data-driven problems in science, industry, and society. Students learn mathematical modeling, inferential thinking, and computational strategies. They consider the ethical use of data and technology and explore applications of data science to scientific challenges, social problems and/or the arts and humanities.

Students take courses in multiple departments, including mathematics, statistics, computer science, and engineering. In addition, students pursuing the BA take courses in the social sciences or the arts and humanities, in accordance with their subplan. Subplans and pathways allow students to define their own intellectual trajectory. Capstone experiences provide opportunities for individual research projects or collaborative work with partners from industry, government, and nonprofits to put knowledge into action.

View highlights of the data science program's undergraduate offerings.

Symbolic Systems is an interdisciplinary program that investigates both the computer and the human mind as systems that use symbols to communicate and represent information. Faculty approach the relationship between humans and computers by way of theoretical and technical expertise in cognitive science, linguistics, philosophy, and other fields.

Students learn technical skills in mathematics and computer programming, along with a foundation based on humanistic perspectives and empirical research. Many students go on to pursue advanced studies in artificial intelligence, neuroscience, or the philosophy of language.

Graduate joint degree offered: JD/MS

Stanford’s undergraduate physics program offers a solid foundation in classical and modern physics in a top-ranked department. Courses in physics reveal the mathematical beauty of the universe at scales ranging from subatomic to cosmological. The program also includes labs in which students can develop their own experiments. Astronomy, astrophysics, and cosmology courses are also offered through the department.

Graduate students have opportunities to pursue research in astrophysics, cosmology, particle physics, atomic and laser physics, and condensed matter physics. In addition to working with leading faculty in both physics and applied physics, students collaborate with researchers in the schools of engineering and medicine and at SLAC National Accelerator Laboratory.

View highlights of the physics department's undergraduate offerings.

Graduate joint degree offered: MD/PhD

Stanford’s top-ranked Department of Statistics gives students a foundation in the role of probabilistic and statistical ideas and methods in science, medicine, technology, and the humanities. Faculty provide instruction in the theory and application of commonly used techniques in the field, while offering training through innovative programs. The department administers a mathematical and computational science major for undergraduates,* a data science track through its master’s program, and a doctoral training program in biostatistics for personalized medicine.

To foster the relationship between theory and application, the department also promotes interdisciplinary collaboration through faculty appointments in economics, education, political science, and other fields. 

Graduate joint degree offered: MD/PhD

*The MCS program will no longer be accepting students for the major and minor as of Aug. 31, 2022. The Data Science major replaces MCS effective Sept. 1, 2022. Currently enrolled MCS majors and minors will be able to complete their degrees.