THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2025/2026

Timetable information in the Course Catalogue may be subject to change.
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DRPS : DPTs :  School of Mathematics DPTs

Degree Programme Table: Mathematics and Physics (BSc Hons) (UTMATPH)

Jump to: Year 1, Year 2, Year 3, Year 4

Year 1 Academic year: 2025/26, Starting in: September

Notes:
All compulsory courses 'must be passed' before students are permitted to progress to the next year of the programme. This condition is stated clearly in the information below.

Please note that, for students who are in Year 1 in 2025/26, subsequent Years' DPTs will differ from those displayed here. In particular, new courses will be delivered for Year 2 in 2026/27. Please see 'Year 2 Course Choices' on the Learn 'Getting started with your Maths Degree (2025-26)' page for further information.

Compulsory courses

You must take these courses
Introduction to Mathematics at University

Must be passed and taken during Semester 1

MATH08078 20 credits
Mathematics for Physics 1

Must be passed and taken during Semester 1

PHYS08035 20 credits
Physics 1A: Foundations

Must be passed and taken during Semester 1

PHYS08016 20 credits
Linear Algebra 1

Must be passed and taken during Semester 2

MATH08079 20 credits
Introduction to Mathematical Analysis

Must be passed and taken during Semester 2

MATH08081 20 credits
Mathematics for Physics 2

Must be passed and taken during Semester 2

PHYS08036 20 credits

Year 2 Academic year: 2025/26, Starting in: August

Notes:
Some compulsory courses 'must be passed' before students are permitted to progress to the next year of the programme. This condition is stated clearly in the information below.

Continuing Students - Select courses from Group A
Direct Entry Students - Select courses from Group B

Compulsory courses

You must take these courses
Introductory Dynamics

Must be passed and taken during Semester 1

PHYS08052 10 credits
Fundamentals of Pure Mathematics

Must be passed and taken during Semester 2

MATH08064 20 credits
Introductory Fields and Waves

Must be passed and taken during Semester 2

PHYS08053 20 credits
Probability

Must be taken during Semester 1

MATH08066 10 credits
Modern Physics

Must be taken during Semester 1

PHYS08045 10 credits
Physics of Matter

Must be taken during Semester 2

PHYS08054 10 credits

Course options

Group A

Select exactly 40 credits in this group.

Maths Y2 - SVCDE (M&P)

Select exactly 20 credits of the following courses
Several Variable Calculus and Differential Equations
MATH08063 20 credits
AND

Maths Y2 - Computing (M&P)

Select exactly 10 credits of the following courses
Computing and Numerics
MATH08065 10 credits
Programming and Data Analysis
PHYS08049 10 credits
AND

Maths Y2 - Statistics (M&P)

Select between 0 and 10 credits of the following courses
Statistics (Year 2)
MATH08051 10 credits
AND

Level 7 and 8 courses in Schedules A to O and Q, S, T, W and Y

Select between 0 and 10 credits from Level 7 and 8 courses in Schedules A to O and Q, S, T, W and Y
Notes:
Students must consult course prerequisites and other requirements carefully when making course choices.
OR

Group B

Select exactly 40 credits in this group.

Maths Y2 - Direct Entry (M&P)

Select exactly 40 credits of the following courses
Accelerated Algebra and Calculus for Direct Entry
MATH08062 20 credits
Computing and Numerics
MATH08065 10 credits
Accelerated Proofs and Problem Solving
MATH08071 10 credits

Year 3 Academic year: 2025/26, Starting in: August

Notes:
Students wishing to undertake a non-compulsory Year Abroad in Year 3 should have achieved 'A' grades in the following courses:

- Introduction to Linear Algebra*
- Proofs and Problem Solving*
- Calculus and its Applications*
- Several Variable Calculus and Differential Equations**
- Fundamentals of Pure Mathematics

* or Direct Entry equivalents - Accelerated Proofs and Problem Solving & Accelerated Algebra and Calculus for Direct Entry.
**Direct Entry students are exempt from the requirement to obtain an 'A' grade in Several Variable Calculus and Differential Equations.

Compulsory courses

You must take these courses
Honours Differential Equations

Must be taken during Semester 1

MATH10066 20 credits
Honours Complex Variables

Must be taken during Semester 2

MATH10067 20 credits
Electromagnetism and Relativity

Must be taken during Full Year

PHYS10093 20 credits

Course options

Group A

Select exactly 60 credits in this group.

Maths Y3 / 4 - Honours Courses (M&P)

Select between 20 and 40 credits of the following courses
Honours Analysis
MATH10068 20 credits
Honours Algebra
MATH10069 20 credits
AND

Maths Y3 - Physics Compulsory Choice (M&P)

Select exactly 20 credits of the following courses
Thermal Physics
PHYS09061 20 credits
Principles of Quantum Mechanics
PHYS10094 20 credits
AND

Maths Y3 - S1 (BSc / MMath / MA / M&M / M&P)

Select between 0 and 20 credits of the following courses
Stochastic Modelling (Undergraduate)
MATH10007 10 credits
Combinatorics and Graph Theory
MATH10072 10 credits
Geometry
MATH10074 10 credits
Statistical Methodology
MATH10095 10 credits
Numerical Linear Algebra
MATH10098 10 credits
AND

Maths Y3 - S2 (BSc / MMath / MA / M&M / M&P)

Select between 0 and 20 credits of the following courses
Financial Mathematics
MATH10003 10 credits
Numerical Ordinary Differential Equations and Applications
MATH10060 10 credits
Introduction to Number Theory
MATH10071 10 credits
Linear Programming, Modelling and Solution
MATH10073 10 credits
Statistical Computing
MATH10093 10 credits
Applied Statistics
MATH10096 10 credits
Metric Spaces
MATH10101 10 credits
Classical Mechanics for Mathematicians
MATH10106 10 credits
AND

Maths Y3 - Physics Options (M&P)

Select between 0 and 20 credits of the following courses
Research Methods in Physics
PHYS09056 10 credits
Computer Modelling
PHYS09057 10 credits
Thermal Physics
PHYS09061 20 credits
Experimental Physics 3 (CP10)
PHYS09062 10 credits
Experimental Physics 3
PHYS09063 20 credits
Lagrangian Dynamics
PHYS10015 10 credits
Numerical Recipes
PHYS10090 10 credits
Principles of Quantum Mechanics
PHYS10094 20 credits

Year 4 Academic year: 2025/26, Starting in: August

There are no compulsory courses in this year of this programme.

Course options

Group A

Select exactly 40 credits in this group.

Maths Y4 - Project-Based Courses (M&P)

Select between 20 and 40 credits of the following courses
Project in Mathematics (Double)
MATH10031 40 credits
Mathematics Project
MATH10063 20 credits
AND

Maths Y4 - Physics Project-Based Courses (M&P)

Select between 0 and 20 credits of the following courses
Senior Honours Project (Physics & Astronomy) Semester 1
PHYS10086 20 credits
Senior Honours Project (Physics & Astronomy) Semester 2
PHYS10087 20 credits
Mathematical Physics Honours Project
PHYS10107 10 credits
Quantum Computing Project
PHYS10110 10 credits
AND

Group B

Select exactly 40 credits in this group.

Maths Y3 / 4 - Honours Courses (M&P)

Select between 0 and 20 credits of the following courses
Honours Analysis
MATH10068 20 credits
Honours Algebra
MATH10069 20 credits
AND

Maths Y4 - Full Year (Applied / M&P)

Select between 0 and 20 credits of the following courses
Notes:
Taking Statistical Case Studies is permissible, but not recommended if you are taking a year-long project: the final deadlines for both will be very close together.
Mathematical Education
MATH10010 20 credits
Probability, Measure & Finance
MATH10024 20 credits
Statistical Case Studies
MATH10102 20 credits
AND

Maths Y4 / 5 - S1 (BSc / MMath / MA / M&M / M&B / M&P)

Select between 0 and 60 credits of the following courses
Stochastic Modelling (Undergraduate)
MATH10007 10 credits
Mathematical Biology
MATH10013 10 credits
Commutative Algebra
MATH10017 10 credits
Theory of Statistical Inference
MATH10028 10 credits
Essentials in Analysis and Probability
MATH10047 10 credits
Applied Stochastic Differential Equations
MATH10053 10 credits
Fundamentals of Operational Research
MATH10065 10 credits
Combinatorics and Graph Theory
MATH10072 10 credits
Geometry
MATH10074 10 credits
General Topology
MATH10076 10 credits
Group Theory
MATH10079 10 credits
Linear Analysis
MATH10082 10 credits
Statistical Methodology
MATH10095 10 credits
Numerical Linear Algebra
MATH10098 10 credits
Entrepreneurship in the Mathematical Sciences
MATH10099 10 credits
Introduction to Partial Differential Equations
MATH10100 10 credits
Quantum Mechanics for Mathematicians
MATH10107 10 credits
Statistics in Education
MATH10108 10 credits
Introduction to Lie Groups
MATH11053 10 credits
Topics in Noncommutative Algebra
MATH11143 10 credits
Quantum Information
MATH11169 10 credits
Theory of Elliptic Partial Differential Equations
MATH11184 10 credits
Further Complex Variables
MATH11233 10 credits
Differential Geometry
MATH11235 10 credits
Category Theory
MATH11237 10 credits
Classical Field Theory
MATH11241 10 credits
Fluid Dynamics
MATH11248 10 credits
AND

Maths Y4 / 5 - S2 (BSc / MMath / MA / M&M / M&B / M&P)

Select between 0 and 60 credits of the following courses
Financial Mathematics
MATH10003 10 credits
Fourier Analysis
MATH10051 10 credits
Numerical Ordinary Differential Equations and Applications
MATH10060 10 credits
Multivariate Data Analysis
MATH10064 10 credits
Introduction to Number Theory
MATH10071 10 credits
Linear Programming, Modelling and Solution
MATH10073 10 credits
Algebraic Topology
MATH10077 10 credits
Galois Theory
MATH10080 10 credits
Advanced Methods of Applied Mathematics
MATH10086 20 credits
Statistical Computing
MATH10093 10 credits
Applied Statistics
MATH10096 10 credits
Metric Spaces
MATH10101 10 credits
Classical Mechanics for Mathematicians
MATH10106 10 credits
Algebraic Geometry
MATH11120 10 credits
Geometry of General Relativity
MATH11138 10 credits
Applied Dynamical Systems
MATH11140 10 credits
Interactions in Algebra, Geometry, and Topology
MATH11145 10 credits
Numerical Partial Differential Equations
MATH11207 10 credits
Analytic Number Theory
MATH11226 10 credits
AND

Maths Y4 / 5 - PGT Courses Without Concession (BSc / MMath / MA / M&M / M&B / M&P)

Select between 0 and 40 credits of the following courses
Notes:
These Postgraduate Taught courses may be taken by Undergraduate students *without* requiring a concession. (NB. students on Postgraduate taught programmes are given priority in the allocation of places.)

Students must consult course prerequisites and other requirements carefully when making course choices. In particular, students are unable to take Financial Risk Theory (MATH11132) as they cannot meet the prerequisites.
Simulation
MATH11028 10 credits
Finance, Risk and Uncertainty
MATH11088 10 credits
Fundamentals of Optimization
MATH11111 10 credits
Time Series
MATH11131 10 credits
Financial Risk Theory
MATH11132 10 credits
Large Scale Optimization for Data Science
MATH11147 10 credits
Optimization Methods in Finance
MATH11158 10 credits
Bayesian Data Analysis
MATH11175 10 credits
Bayesian Theory
MATH11177 10 credits
Topics in Applied Operational Research
MATH11183 10 credits
Incomplete Data Analysis
MATH11185 10 credits
Risk and Logistics
MATH11190 10 credits
Integer and Combinatorial Optimization
MATH11192 10 credits
Operational Research in the Energy Industry
MATH11193 10 credits
Numerical Probability and Monte Carlo
MATH11202 10 credits
Machine Learning in Python
MATH11205 10 credits
Biostatistics
MATH11230 10 credits
Industrial Mathematics
MATH11231 10 credits
Targeted Causal Learning
MATH11238 10 credits
Numerical Methods for Data
MATH11240 10 credits
Nonlinear Optimization
MATH11244 10 credits
Design and Sampling for Data Science
MATH11245 10 credits
Optimization under Uncertainty
MATH11247 10 credits
AND

Group C

Select exactly 40 credits in this group.

Maths Y4 - Physics Options (M&P)

Select exactly 40 credits of the following courses
Lagrangian Dynamics
PHYS10015 10 credits
Methods of Mathematical Physics
PHYS10034 10 credits
Physics Skills
PHYS10042 10 credits
Symmetries of Quantum Mechanics
PHYS10083 10 credits
Principles of Quantum Mechanics
PHYS10094 20 credits
Solid State Physics
PHYS10095 10 credits
Soft Condensed Matter Physics
PHYS10097 10 credits
Introduction to Condensed Matter Physics
PHYS10099 10 credits
Data Acquisition and Handling
PHYS10100 10 credits
Nuclear and Particle Physics
PHYS10106 10 credits
Astrophysics: Stars and Planets
PHYS10111 20 credits
Advanced Statistical Physics
PHYS11007 10 credits
General Relativity
PHYS11010 10 credits
Hamiltonian Dynamics
PHYS11012 10 credits
Quantum Theory
PHYS11019 10 credits
Statistical Physics
PHYS11024 10 credits
Advanced Cosmology
PHYS11035 10 credits
Biological Physics
PHYS11040 10 credits
Nuclear Physics
PHYS11041 10 credits
Classical Electrodynamics
PHYS11045 10 credits
Nuclear Astrophysics
PHYS11053 10 credits
Electronic Structure Theory
PHYS11061 10 credits
Current Topics in Particle Physics
PHYS11063 10 credits
Medical Physics
PHYS11064 10 credits
Physics of Extreme Environments
PHYS11066 10 credits
Radiation Processes in Astrophysics
PHYS11067 20 credits
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