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Mathematical Institute

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Mathematics at Oxford, like computer science, is undertaken with a student body that already has two years of mathematics study under their belt. Students from Stanford may be surprised at the proficiency level of their peers if they forget that their Oxford counterpart has a head start. It is useful to consider your learning style when proposing a maths tutorial, as these courses can be solitary and require a good degree of library time and working through problem sets without classmates for company. Tutorials can be expected to go more deeply into fewer aspects of the topic. Students may take a tutorial equivalent of a class they have already taken on campus in order to explore aspects of the material in more depth. Remember, its best to speak with your major advisor or peer-advisor about your tutorial choice if it is important for you that the course counts in your Math major.

Below is a helpful chart that draws comparison between Stanford courses and Oxford tutorials, the equivalence indicated depends upon the topics covered in your tutorial and these topics will vary depending on your skills and requests. And a final note: The linked syllabi are of versions of the course undertaken in the past and should not be interpreted as how the course will be for you. Instead, they can be helpful to demonstrate the scope of work, and styles of work required:

Title Supportive Lectures in Oxford Stanford Parallel
Algebraic Curves Winter MATH 145
Algebraic Number Theory Winter MATH 154
Algebraic Topology Autumn MATH 215A
Analytic Number Theory Winter MATH 155
Analytic Topology Autumn No easy parallel
Axiomatic Set Theory Winter No easy parallel
Banach and C* Algebras None None
Banach Spaces Autumn None
Building Infinite Groups Winter No easy parallel
Calculus of Variations Spring None
Complex Analysis Autumn MATH 116
Equations Approximation of Functions Autumn None
Differentiable Manifolds Autumn MATH 147
Elliptic Curves Winter None
Finite Group Theory None None
Functional Analysis Autumn MATH 175
Galois Theory Autumn MATH 121
Geometric Group Theory Winter No easy parallel
Geometry of Surfaces Autumn MATH 143
Gödel’s Incompleteness Theorems Winter PHIL 152
Graph Theory Spring MATH 107
Integration Winter MATH 172
Industrial and Applied Mathematics None No easy parallel
Linear Algebra Autumn MATH 113
Martingales Autumn MATH 230A
Metric Spaces Autumn MATH 171
Model Theory Autumn No easy parallel
Multivariable Calculus Winter No easy parallel
Number Theory Autumn/Spring MATH 152
Numerical Analysis Winter CME 108
Numerical Linear Algebra Autumn CME 302
Numerical Solution of Differential Equations Winter MATH 220A
Probabilistic Combinatorics Winter MATH 159
Set Theory Winter MATH 161
Stochastic Differential Equations Autumn MATH 236
Topology Winter MATH 144

Topology and Groups

Autumn MATH 148

History of Math


Abstract Algebra