Applicants for admission to either PhD program are expected to have preparation comparable to the undergraduate major at Berkeley in Mathematics or in Applied Mathematics. These majors consist of 2 full years of lower-division work (covering calculus, linear algebra, differential equations, and multivariable calculus), followed by 8 one-semester courses including real analysis, complex analysis, abstract algebra, and linear algebra. These eight courses may include some mathematically based courses in other departments, e.g., physics, engineering, computer science, or economics.

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Financial support from the University is available on a competitive basis to entering graduate students in the form of Fellowships, Graduate Student Instructorships, Graduate Student Researchships, and University Financial Aid. The Department pledges incoming PhD students sufficient financial support so that they have funding for at least 5 years of graduate study at Berkeley, subject to the student making good progress toward the degree and satisfactory performance of all teaching duties. Upon admission to the Ph.D. program, prospective students are provided a detailed funding package that specifies the length of funding, source of financial support, and requirements students must adhere to, to maintain eligibility for financial support. Students who are U.S. citizens or permanent residents (domestic students) are required to establish California residency after one year in the state and must do so before the start of their second year. The Graduate Division Fellowship Office requests that all domestic students submit a FAFSA (Free Application for Federal Student Aid). This information is for use only by the Fellowship Office to allow for the use of need-based funds. Please note: as graduate students you do not need to include parental information.