Mathematics Degrees

Currently, students study the following modules shown below. King’s reviews its programmes on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice. Students take courses worth 120 credits in each of the three years.

Year 1
Seven core modules (three in Mathematics and four in Physics).

Year 1 Core
Physics
First Year Laboratory Physics A(15 credits)
Fields, Waves & Matter (30 credits)
Mechanics (15 credits)
Physical Basis of Astronomy (15 credits)

Mathematics
Calculus I (15 credits)
Calculus II (15 credits)
Linear Methods (15 credits)

Year 2
Seven core modules (three in Mathematics and four in Physics).

Year 2 Core
Physics
Thermal Physics (15 credits)
Second Year Laboratory Physics A (15 credits)
Modern Physics (30 credits)
Astrophysics (15 credits)

Mathematics
PDEs and Complex Variables (15 credits)
Intermediate Dynamics (15 credits)
Joint Honours Algebra (15 credits)

Year 3
Three core Physics modules and five optional modules in Physics or Mathematics.

Year 3 Core
Physics
Projects (15 credits)
Electromagnetism (15 credits)
Spectroscopy & Quantum Mechanics (15 credits)
Statistical Mechanics (15 credits)

Year 3 Options
Physics
Optics (15 credits)
Solid State Physics (15 credits)
Theoretical Particle Physics (15 credits)
General Relativity & Cosmology (15 credits)
Introduction to Plasma Physics (15 credits)
Modern Topics in Physics (15 credits)

Mathematics
Special Relativity & Electromagnetism (15 credits)
Space-time Geometry & General Relativity (15 credits)
Quantum Mechanics II (15 credits)
or other Mathematics modules

The BSc Mathematics and Physics with Astrophysics degree covers fundamental areas of Mathematics and Physics, with a specialisation in Astrophysics. Just over half of the topics during the first two years are in Physics, and cover areas such as relativity, quantum mechanics, fields and waves, electromagnetism, astronomy and nuclear physics. The Mathematics element gives students a foundation in all branches of mathematics, for example algebra, analysis, probability and mathematical methods. In the third year approximately a quarter of your time is spent studying Maths, with the rest spent on Physics and Astrophysics modules.

Mathematics
Operator Theory
Lie Groups & Lie Algebras
Manifolds
Quantum Mechanics II
Quantum Field Theory
Neural Networks
Fourier Analysis
Point Particles & String Theory
Supersymmetry
Applied Probability & Stochastics
Advanced General Relativity

The joint honours MSci Mathematics & Physics programme gives you the opportunity to study both subjects at degree level. Approximately equal weighting is given to both subjects, although from the third year you may be able to choose more from one subject and tailor the degree to suit your interests. The
Mathematics element gives students a foundation in many branches of mathematics, for example algebra, analysis, probability and geometry. The Physics element offers students a broad knowledge of all of the fundamental elements of physics and includes areas such as relativity, quantum mechanics, fields and waves, electromagnetism and nuclear physics.

A unique feature of this programme is that final year students may take physics courses from a consortium of University of London colleges.

In the fourth year, MSci students do a supervised project, which allows you to experience some of the excitement of research.

Currently, students study the following modules shown below. King’s reviews its modules on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Equal number of core modules from Mathematics and Physics (four of each).

Year 1 Core
Mathematics
Calculus I
Calculus II
Linear Methods
Numbers & Functions OR Probability & Statistics

Physics
First Year Laboratory Physics
Thermal Physics
Fields, Waves and Matter
Physical Basis of Astronomy

Year 2
Seven core modules.

Year 2 Core
Mathematics
Partial Differential Equation & Complex Variable
Intermediate Dynamics
Introduction to Abstract Algebra
Analysis I OR Applied Analytic Methods

Physics
Second Year Laboratory Physics
Introductory Quantum Mechanics
Principles of Thermal Physics
Electromagnetism

Year 3
Four core modules, plus choice from a range of options.

Year 3 Core
Mathematics
Special Relativity & Electromagnetism

Physics
Third Year Project in Physics
Statistical Mechanics
Spectroscopy and Quantum Mechanics

Year 3 Options
Mathematics
Quantum Mechanics II
Space-time Geometry & General Relativity
Real Analysis II
Geometry of Surfaces
Galois Theory
Neural Networks
Complex Analysis
Topology
Numerical Methods
Groups & Symmetries
Logic
Mathematics Education & Communication
Chaotic Dynamics
Discrete Mathematics

Physics
Theoretical Particle Physics
Optics
Solid State Physics
General Relativity & Cosmology
Introducing Plasma Physics
Modern Topics in Physics
Medical Engineering
Medical Imaging and Measurement

The joint honours BSc Mathematics & Physics programme gives you the opportunity to study both subjects at degree level. Approximately equal weighting is given to both subjects, although in the third year you may be able to choose more from one subject and tailor the degree to suit your interests. The Mathematics element gives students a foundation in many branches of mathematics, for example algebra, analysis, probability and geometry. The Physics element offers students a broad knowledge of all of the fundamental elements of physics and includes areas such as relativity, quantum mechanics, fields and waves, electromagnetism and nuclear physics.

Currently, students study the following modules shown below. King’s reviews its modules on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Equal number of core modules from Mathematics and Computer Science (four of each).

Year 1 Core
Mathematics
Calculus I
Calculus II
Linear Methods
Probability & Statistics I

Computer Science
Computer Systems I
Data Structures
Programming Practice
Programming Applications

Year 2
Equal number of core modules from Mathematics and Computer Science (four of each).

Year 2 Core
Mathematics
Introduction to Abstract Algebra
Analysis I OR Applied Analytic Methods
Logic
Numbers & Functions

Computer Science
Software Architecture
Database Systems
Programming Language Design & Paradigms
Operation Systems & Concurrency

Year 3
Students will normally take a selection of four Mathematics modules and four Computer Science modules.

Year 3 Options
Mathematics
Geometry of Surfaces
Introduction to Optimisation
Introduction to Linear Systems with Control Theory
Partial Differential Equations & Complex Variable
Numerical Methods
Topics in Mathematics
Elementary Number Theory
Groups & Symmetries
Probability & Statistics II
Discrete Mathematics
History & Development of Mathematics
Mathematics Education & Communication
Chaotic Dynamics
Non-linear Dynamics

Computer Science
Automata & Formal Languages
Software Measurement & Testing
Compression Methods for Multimedia
Distributed Systems
Computer Science Project (30 credits)
Internet Systems
Computer Architecure
Logical Modelling
Software Engineering of Internet Applications
Software Architecture & Design
Parallel Algorithms
Cryptography & Information Security
Computer Graphics Systems

The BSc Mathematics & Computer Science programme gives students a foundation in all branches of Mathematics, for example algebra, analysis, statistics, geometry, probability and mathematical methods. The Computer Science element is designed to provide an efficient and well-balanced introduction to the whole practical field, and therefore includes topics in programming and computer systems.

Currently, students study the following core modules (modules are 15 credits unless otherwise stated). We review our options on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Core modules (four in Mathematics and four in Philosophy).

Year 1 Core
Mathematics
Calculus I & II
Linear Methods
Geometry I

Philosophy
Methodology OR Introductory Logic
Greek OR Modern
Metaphysics OR Epistemology
Ethics OR Politics.

Year 2
Four optional modules in Mathematics plus four optional modules in Philosophy.

Year 2 Options
Mathematics
Introduction to Dynamical Systems
Numbers & Functions
Probability & Statistics I
Analysis I
Introduction to Abstract Algebra
Geometry of Surfaces
Groups & Symmetries
Intermediate Dynamics
Linear Algebra
PDEs & Complex Variable
Discrete Mathematics
History & Development of Mathematics
Logic
Numerical Methods
Probability & Statistics II

Philosophy
Three modules drawn from at least two of the following lists, plus an additional module either from one of the lists or an optional Year 3 course (see below):

List A
Greek Philosophy II, Part 1
Greek Philosophy II, Part 2
Modern Philosophy II, Part 1
Modern Philosophy II, Part 2

List B
Ethics II, Part 1
Ethics II, Part 2
Political Philosophy II, Part 1
Political Philosophy II, Part 2

List C
Epistemology II
Metaphysics II, Part 1
Metaphysics II, Part 2
Metaphysics II, Part 3

Year 3
You take three Mathematics modules (four if not taking Symbolic Logic) and four options from the Philosophy modules listed.

Year 3 Core
Symbolic Logic (if not taken in Year 2).

Year 3 Options
Mathematics
Complex Analysis
Introductory Quantum Theory
Real Analysis II
Special Relativity and Electro-magnetism
Financial Mathematics
Geometries
Introduction to Linear Systems with Control Theory
Linear Systems with Control Theory
Operational Research I
Space-time Geometry & General Relativity
Mathematics Education & Communication

Philosophy
Logic & Metaphysics
Epistemology & Methodology
Ethics
Political Philosophy
Greek Philosophy
Modern Philosophy from Descartes to Kant
Philosophy of Mind
Philosophy of Religion
Philosophy of Language
Philosophy of Science
Aesthetics
Mathematical Logic
Set Theory and Further Logic
Post-Aristotelian Philosophy
Mediaeval Philosophy
Indian Philosophy
Philosophy of Kant
Nineteenth-century German Philosophy
Phenomenology
Frege, Russell, Wittgenstein
Marxism
Philosophy of Mathematics
Greek Philosophical Texts
Philosophy of Psychology

Our Department of Philosophy has particular strengths in philosophy of mind, philosophy of science and ancient philosophy. We are also able to offer an extremely wide range of modules, including subjects like Indian philosophy and medieval philosophy which are offered by very few other universities in the UK.