Imperial College London
Master of Science in Mathematics
The Master of Science in Mathematics in Mathematics is offered by Imperial College London.
Program Length: 4 YEARS.
Master of Science in Mathematics offered by the Imperial College London at the Faculty of Engineering
Deepen your understanding of mathematics through an integrated year of Master’s level study.Mathematics at Imperial aims to present a wide range of mathematical ideas in a way that develops your critical and intellectual abilities.The Department is home to several Fellows of the Royal Society and international prize winners, and our degrees are built around our research expertise in four core areas:You will cover both topics that are a direct continuation of those at A-level and those that introduce you to new ways of thinking, such as the logical structure of arguments, the proper definition of mathematical objects, the design of sophisticated mathematical models, and the legitimacy of computations.
- Pure Mathematics
- Applied Mathematics and Mathematical Physics
- Mathematical Finance
- Statistics
All of our courses follow the same core curriculum for the first two years, covering key areas of mathematics such as algebra, differential equations, and probability and statistics.Elective modules in your second year enable you to deepen your knowledge of some areas while maintaining a broad understanding.In your third year you can choose from over 50 optional modules, many of which are linked to our cutting edge research, allowing you to specialise in the areas that interest you most.The MSci Mathematics course builds on the BSc with an integrated year taught at Master's level, in which you complete advanced modules and a research project.
Curriculum
YEAR 1
Core modules:YEAR 2
- Analysis 1
- An Introduction to Applied Mathematics
- Calculus and Applications
- Individual Research Project
- Introduction to Computing
- Introduction to University Mathematics
- Linear Algebra and Group Theory
- Probability and Statistics
- Analysis 2
- Group Research Project
- Linear Algebra and Numerical Analysis
- Multi-variable Calculus and Differential Equations
Optional modules
You choose four modules from below.You will also choose a module from the I-Explore or Horizons modules.
- Groups and Rings
- Lebesgue Measure and Integration
- Network Science
- Partial Differential Equations in Action
- Principles of Programming
- Probability for Statistics
- Statistical Modelling 1
YEAR 3Optional modulesThere are over 50 optional modules available in the areas of pure mathematics, mathematical physics, applied mathematics, methodology, numerical analysis and statistics.
All third year modules are optional, and you will choose eight. The list below gives you an idea of the areas you can choose from.
Advanced Topics in Partial Differential Equations
- Advanced Topics in Partial Differential Equations
- Algebra 3
- Algebraic Combinatorics
- Algebraic Number Theory
- Algebraic Topology
- Analysis 2
- Applied Complex Analysis
- Applied Probability
- Asymptotic Methods
- Bifurcation Theory
- Communicating Mathematics
- Computational Linear Algebra
- Computational Partial Differential Equations
- Consumer Credit Risk Modelling
- Dynamical Systems
- Dynamics of Games and Learning
- Finite Elements: Numerical Analysis and Implementation
- Fluid Dynamics 1
- Fluid Dynamics 2
- Function Spaces and Applications
- Functional Analysis
- Galois Theory
- Geometric Complex Analysis
- Group Representation Theory
- Group Theory
- Groups and Rings
- High Performance Computing
- Introduction to Geophysical Fluid Dynamics
- Markov Processes
- Mathematical Biology
- Mathematical Finance: An Introduction to Option Pricing
- Mathematical Logic
- Mathematics of Business and Economics
- Methods for Data Science
- Network Science
- Number Theory
- Numerical Solutions of Ordinary Differential Equations
- Partial Differential Equations in Action
- Principles of Programming
- Probability for Statistics
- Probability Theory
- Quantum Mechanics 1
- Quantum Mechanics 2
- Scientific Computing
- Special Relativity and Electromagnetism
- Statistical Modelling 1
- Statistical Modelling 2
- Statistical Theory
- Stochastic Simulation
- Survival Models
- Tensor Calculus and General Relativity
- Theory of Complex Systems
- Time Series Analysis
YEAR 4
Core module
- Mathematics Research Project
Optional modules
You choose six optional modules in total for your fourth year.
There are over 40 optional modules available across different areas of mathematics, the list below gives you an idea of these areas.
- Advanced Dynamical Systems
- Advanced Topics in Partial Differential Equations
- Algebra 3
- Algebra 4
- Algebraic Combinatorics
- Algebraic Number Theory
- Algebraic Topology
- Analytic Methods in Partial Differential Equations
- Applied Complex Analysis
- Applied Probability
- Asymptotic Methods
- Bifurcation Theory
- Computational Linear Algebra
- Computational Partial Differential Equations
- Consumer Credit Risk Modelling
- Differential Topology
- Dynamical Systems
- Dynamics of Games and Learning
- Elliptic Curves
- Finite Elements: Numerical Analysis and Implementation
- Fluid Dynamics 1
- Fluid Dynamics 2
- Function Spaces and Applications
- Functional Analysis
- Galois Theory
- Geometric Complex Analysis
- Group Representation Theory
- Group Theory
- High Performance Computing
- Hydrodynamic Stability
- Infinite Groups
- Introduction to Geophysical Fluid Dynamics
- Markov Processes
- Mathematical Biology
- Mathematical Finance: An Introduction to Option Pricing
- Mathematical Logic
- Mathematics Research Project
- Methods for Data Science
- Modular Representation Theory
- Number Theory
- Numerical Solutions of Ordinary Differential Equations
- Probability Theory
- Quantum Mechanics 1
- Quantum Mechanics 2
- Random Dynamical Systems and Ergodic Theory
- Scientific Computing
- Special Relativity and Electromagnetism
- Statistical Modelling 2
- Statistical Theory
- Stochastic Differential Equations
- Stochastic Simulation
- Survival Models
- Tensor Calculus and General Relativity
- Theory of Complex Systems
- Time Series Analysis
- Vortex Dynamics