Information for prospective students

Cambridge is a wonderful place to study mathematics at both undergraduate and postgraduate level.

Information for prospective students can be found on the following webpages:

• Undergraduate admissions
• MASt/MMath: Information for Prospective Part III Students 
• Postgraduate Study in Mathematics 
• Postgraduate Admissions
• Careers for Mathematicians

or for something much shorter:

• University of Cambridge Science Summer Programme

Information for Current Students

From the Mathematics Faculty website:

• Undergraduate Schedules
• Undergraduate Past Exam Papers
• Part III (Master of Mathematics / Master of Advance Study)
• Mathematics lecture lists
• Information for current research students  [linked to Information for Current PhD  Students / Postgraduate Study in Mathematics (cam.ac.uk)]

Other resources:

• The Archimedeans' students resources and lecture notes.

Example Sheets

Such material as is available for some specific DPMMS courses (example sheets, lecture notes and so on) has been gathered here. Some courses have more material, others less.

Example sheets (and other info) for courses offered by DAMTP appear on the DAMTP example sheet page.

To post example sheets on these pages please email pdf file to examplesheets@dpmms.cam.ac.uk giving course name and Tripos part in the subject line.

Part IA

Courses in Part IA of the Mathematical Tripos on the Faculty web site.

• Analysis I
• Groups
• Numbers and Sets
• Probability
• Vectors and Matrices
• Topics in the History of Mathematics (non-examinable)

Part IB

Courses in Part IB of the Mathematical Tripos on the Faculty web site.

• *Analysis II
• Analysis and Topology
• Complex Analysis
• Computational Projects (CATAM)
• Geometry
• Groups, Rings and Modules
• Linear Algebra
• Markov Chains
• *Metric and Topological Spaces
• Optimization
• Statistics

*from 2019 courses combined to form Analysis and Topology.

Part II

Courses in Part II of the Mathematical Tripos on the Faculty web site.

• Algebraic Geometry
• Algebraic Topology
• Analysis of Functions
• Applied Probability
• Automata and Formal Languages
• Coding and Cryptography
• Computational Projects (CATAM)
• Differential Geometry
• Galois Theory
• Geometry and Groups - no longer offered
• Graph Theory
• Linear Analysis
• Logic and Set Theory
• Mathematics of Machine Learning
• Number Fields
• Number Theory
• Optimization and Control
• Principles of Statistics
• Probability and Measure
• Representation Theory
• Riemann Surfaces
• Statistical Modelling
• Stochastic Financial Models
• Topics in Analysis

Part III (MMath/MASt)

Not all DPMMS Part III courses have a page. The courses change significantly from year to year, so do not expect information from previous years to be relevant. 

Details about current lecture courses can be found in the Guide to Courses in Part III of the Mathematical Tripos

Current students can also access information via the Part III Academic Support Moodle

Algebra 
Algebraic Geometry 
Algebraic Surfaces
Algebraic Topology
Analysis of PDEs
Category Theory
Commutative Algebra
Differential Geometry
Geometric Group Theory
Introduction to Nonlinear Analysis
Mapping Class Groups
Symplectic Toplogy
Symplectic Geometry
Techniques in Combinatorics 
Topics in Set Theory
Toric Geometry