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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:

TitleSupportive Lectures in OxfordStanford Parallel
Algebraic CurvesWinterMATH 145
Algebraic Number TheoryWinterMATH 154
Algebraic TopologyAutumnMATH 215A
Analytic Number TheoryWinterMATH 155
Analytic TopologyAutumnNo easy parallel
Axiomatic Set TheoryWinterNo easy parallel
Banach and C* AlgebrasNoneNone
Banach SpacesAutumnNone
Building Infinite GroupsWinterNo easy parallel
Calculus of VariationsSpringNone
Complex AnalysisAutumnMATH 116
Equations Approximation of FunctionsAutumnNone
Differentiable ManifoldsAutumnMATH 147
Elliptic CurvesWinterNone
Finite Group TheoryNoneNone
Functional AnalysisAutumnMATH 175
Galois TheoryAutumnMATH 121
Geometric Group TheoryWinterNo easy parallel
Geometry of SurfacesAutumnMATH 143
Gödel’s Incompleteness TheoremsWinterPHIL 152
Graph TheorySpringMATH 107
IntegrationWinterMATH 172
Industrial and Applied MathematicsNoneNo easy parallel
Linear AlgebraAutumnMATH 113
MartingalesAutumnMATH 230A
Metric SpacesAutumnMATH 171
Model TheoryAutumnNo easy parallel
Multivariable CalculusWinterNo easy parallel
Number TheoryAutumn/SpringMATH 152
Numerical AnalysisWinterCME 108
Numerical Linear AlgebraAutumnCME 302
Numerical Solution of Differential EquationsWinterMATH 220A
Probabilistic CombinatoricsWinterMATH 159
Set TheoryWinterMATH 161
Stochastic Differential EquationsAutumnMATH 236
TopologyWinterMATH 144
Topology and GroupsAutumnMATH 148
History of MathAutumn 
Abstract Algebra