## Part III General Information

Cambridge is a wonderful place to study mathematics at both undergraduate and research level. But neither admission to study nor course design is the direct responsibility of the Faculty of Mathematics rather than DPMMS.

For more information please visit:

- Undergraduate admissions
- Part III (Master of Mathematics / Master of Advanced Study)
- Postgraduate Study in Mathematics
- Graduate Admissions
- Careers for Mathematicians

or for something much shorter:

- University of Cambridge Science Summer Programme

## Information for Current Students

- Mathematics lecture lists on the Mathematics Faculty web site.
- Schedules - on the Mathematics Faculty web site.
- Past Exam Papers - on the Mathematics Faculty web site.
- The Archimedeans' students resources and lecture notes.

## Example Sheets

Such material as is available for 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
- 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)

Guide to Courses in Part III of the Mathematical Tripos

Algebra

Algebraic Geometry

Algebraic Topology

Category Theory

Introduction to Nonlinear Analysis

Mapping Class Groups

Modular Representation Theory

Symplectic Toplogy

Techniques in Combinatorics

Topics in Set Theory

Toric Geometry

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.*

Student provided sources of information for Part III courses:

- Part III eRoom provided by Caret.
- Student-run Part III Wiki.
- Archimedean's Part III notes