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Are you prepared as an undergraduate to take graduate mathematics courses?

In order for a student to take a graduate course, they have to meet with both the instructor and the Graduate Advisor.

M 380C (Heitmann) Algebra – It is assumed that students have successfully completed Linear Algebra (M341) and Algebraic Structures I (M373K) with a grade of B or higher.

M 381C (Caffarelli) Real Analysis – It is assumed that students are familiar with the subject matter of the undergraduate analysis courses M365C and M361.  Additionally, completion of M365D is strongly encouraged.

M 382C (Gordon) Algebraic Topology – It is assumed that students have a working knowledge of the equivalent of a one semester course in general topology (for example, M367K). For the semester in differential topology, it will also be assumed that students know the basic material from an undergraduate linear algebra course.

M383C (Gamba) Methods of Applied Mathematics – It is assumed that students are familiar with the subject matter of the undergraduate analysis course M365C and the Applied linear algebra M346, and are strongly recommended to take M372K, an introductory course in PDEs.

M 385C (Zitkovic) Theory of Probability – It is assumed that students have completed Real Analysis (M365C or equivalent), Linear Algebra (M341 or equivalent), and Probability (M362K or equivalent).

M 387C (Engquist) Numerical Analysis: Algebra & Approximations

M 391C (Raskin) Algebraic Geometry – The course will assume some comfort with abstract algebra, especially commutative algebra and the theory of modules over rings. Some familiarity with the basic language of category theory could be helpful but will not strictly be necessary.

M 392C (Gompf) Four-Manifolds – It is assumed that students have completed M382C and M382D.

M 392C (Freed) Morse Theory – Basic knowledge of manifold theory (at the level of the differential topology prelim class) is necessary, and some Riemannian geometry wouldn't hurt either.

M 393C (Bowen) Gibbs Measures & Random Graphs – Basic knowledge of probability theory is necessary.

M 393C (Maggi) Minimal Surfaces

M 393C (Patrizi) Partial Differentical Equations I

M 394C (Zariphopoulou) Stochastic Processes I – The course will build on material covered in Probability I and Probability II.  While these courses are not prerequisites, familiarity with their content is strongly recommended. The students must have taken an advanced course of Real Analysis and/or Probability Theory.