In addition to the minimum University requirements, applicants for graduate study in mathematics at UCLA must, by the time of matriculation, have at least a bachelor's degree, or its equivalent, and have achieved a minimum 3.0 overall GPA in undergraduate junior/senior years and in any post-baccalaureate work.
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A bachelor's degree or its equivalent with a minimum B (3.0 on a 4.0 scale) GPA in undergraduate junior/senior years and in post baccalaureate work.
Applicants for the MA program must have a 3.2 GPA in upper division math courses; applicants for the PhD program must have a 3.5 GPA in upper division math courses. Applicants with a Master's degree must maintain a 3.6 GPA.
Prospective students do not need to have an undergraduate mathematics major, but must complete at least 12-quarter, or 8-semester courses in substantial upper division mathematics. Comparable Upper Division Courses at UCLA:
- Algebra 110AB: Ring of integers, integral domains, fields, polynomial domains, unique factorization. Groups, structure of finite groups.
- Linear Algebra 115AH: Abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory.
- Analysis 131ABH: Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity. Derivatives, Riemann integral, sequences and series of functions, power series, Fourier series.
- Differential Geometry 120A: Curves in 3-space, Frenet formulas, surfaces in 3-space, normal curvature. Gaussian curvature. Congruence of curves and surfaces. Intrinsic geometry of surfaces, isometrics, geodesics, Gauss/Bonnet theorem.
- Ordinary Differential Equations 135AB: Systems of differential equations; linear systems with constant coefficients, analytic coefficients, periodic coefficients, and linear systems with regular singular points; existence and uniqueness results; linear boundary and eigenvalue problems; two-dimensional autonomous systems, phase/plane analysis, stability and asymptotic behavior of solutions.
- Applied Numerical Methods 151AB: Introduction to numerical methods with emphasis on algorithms, analysis of algorithms, and computer implementation issues. Solution of non-linear equations, numerical differentiation, integration, and interpolation. Numerical solution of differential equations.
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Three letters of recommendation with preferably all, but always at least 2, from mathematicians who are familiar with the student's work.
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The GRE General and Math Subject tests. For results to reach us in
time, the General test should be taken by October and the Math Subject
test by December.
A General Recommendation:
The UCLA Mathematics Department encourages students to change their educational institution between their Bachelor and PhD degrees to broaden their horizons. In particular, no admissions advantage is given to UCLA undergraduates.
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