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Departmental ECTS Information

Information for incoming SOCRATES/ECTS students

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Contact Details
Departmental Facilities
Degree Programme Listings
Teaching and Learning Methods
UCL and ECTS Grading Scales
Programme Structure

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Contact Details

The ECTS Coordinator and Deputy ECTS Coordinator can be contacted in person at specified office hours arranged for each term.

Mathematics Department Office:

Department of Mathematics
University College London
Gower Street
London WC1E 6BT
UK

Telephone: +44 (0) 20 7679 2839
Fax: +44 (0) 20 7383 5519
e-mail: maths@ucl.ac.uk

The Departmental Office can be contacted on Monday to Friday from 9.00 am to 5.00 pm
 

ECTS Departmental Coordinator:

Professor M E O'Neill

Telephone: +44 (0) 20 7679 2863
Fax: +44 (0) 20 7383 5519
e-mail: meo@math.ucl.ac.uk

Deputy ECTS Departmental Coordinator: 

Dr M L Roberts

Telephone: +44 (0) 20 7679 2833
Fax: +44 (0) 20 7383 5519
e-mail: m.l.roberts@ucl.ac.uk

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Facilities within the Department

    The Department of Mathematics occupies the top four floors of 25 Gordon Street. There are five lecture rooms, a student common room and a student reading room for quiet study within in the Department.

    The Bloomsbury Science Library, located in the DMS Watson Building on campus, houses collections of mathematics and statistical science books and periodicals, including the London Mathematical Society collection. Copies of textbooks recommended for undergraduate courses are placed on reserve or restricted loan. The Library offers a range of electronic information services, including catalogues of many external libraries. The student reading room in the Department contains a small undergraduate library with copies of many course textbooks.

    Clusters of PCs, Macs and Sun Workstations, managed by UCL Information Systems (IS), are located throughout the UCL campus. Clusters are booked for classes as appropriate and machines can be booked individually by students at other times. All students have access to e-mail and web-based services.

    The Department utilizes nearby IS clusters for most of its computational teaching needs. It also maintains a small cluster of Macs used for teaching the advanced Mathematica courses.

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Degree Programmes Offered and Duration of Studies.

    Each of the nine BSc and nine MSci programmes offered by the Mathematics Department is listed below with its UCAS identifying code. The first/second code of each pair is that of the appropriate BSc/MSci degree.

    The duration of studies for a BSc degree programme is three years while the duration of studies for an MSci degree programme is four years.

    Table of Degree Programmes (this information is also available here)
     

    Degree Programmes (click on code for programme structure)
    UCAS Codes 

    Mathematics 

    G100 and G107

    Mathematics with Mathematical Physics

    G1F3 and G1FH 

    Mathematics with Economics

    G1L1 and G1LC 

    Mathematics with Modern Languages 

    G1T9 and G1TX

    Mathematics with Management Studies 

    G1N2 and G1NF

    Mathematics and Physics 

    GF13 and GF1H

    Mathematics and Statistical Science 

    GG13 and GGC3

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Teaching and Learning Methods

    The primary method of communicating information to students and stimulating their interest is through lectures. Understanding of lecture material is reinforced by assessed or non-assessed coursework, problem classes, workshops and group tutorials, as well as self-study. Peer-assisted learning, discussion with other students and individual discussion with staff also support the learning process.

    A first year half-unit (or 7.5 ECTS Credits) course normally consists of three lectures with an associated problem class session each week for one term. The problem classes allow students to work on problems individually or within groups, with teaching staff and demonstrators present to give assistance. Problem classes continue into the second year. Some classes take place in computer cluster rooms, enabling students to use mathematical packages.

    The Department believes that the opportunity for students to discuss mathematics freely with staff and other students has an important role in the learning experience. Tutorials provide an opportunity for group discussion of problems and ideas arising from lectures and coursework. Lecturers also nominate office hours when they are available to discuss the course material.

    The Department also offers an informal workshop where challenging extra-curricular problems are considered, and a UCL team regularly participates in the International Competition for University Students in Mathematics.

    The Department was one of the pioneers of Peer Assisted Learning (PAL) at UCL. PAL sessions, where second year students (trained by the UCL Higher Education Research and Development Unit) help groups of first year students by leading discussions on problems, are time-tabled every week. PAL also enhances each group leader's own understanding as well as developing communication and leadership skills.

    The project courses on certain degree programmes provide students with the opportunity to develop investigative and presentational skills. Each student submits a word-processed written report and gives an oral presentation. Advice on writing is provided by the project supervisor and training in presentation skills is provided by the Department. Project work also forms part of some optional courses.

    All students have opportunities to develop transferable skills through the language, computing or management courses offered outside the departments. All first year Mathematics students are taught a basic Mathematica package, which also serves to familiarize them with the use of computers. Other courses make use of Mathematica and optional courses on programming and advanced Mathematica packages are available in later years.

    The Department's teaching and learning procedure includes the prompt return of assessed coursework to provide feedback to students, lecturers and tutors. Most courses have weekly assessed coursework marked by postgraduate demonstrators.

    Assessment in courses, which are not project-based, is by written examination, together with a small component (normally 10%) of in-course assessment for many courses. For each written examination, a visiting examiner approves the paper and marking scheme, and subsequently moderates the scripts, which have been marked anonymously by the lecturer as first internal examiner and checked by a second internal examiner.

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UCL and European Credit Transfer System (ECTS) Grading Scales

Please see information for honours students for grading and degree classes (follow link to Formal Examinations)

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Degree Programme Structure

In each of the following degree programme structures, a half unit is equivalent to 7.5 ECTS credits and a whole unit is equivalent to 15 ECTS credits.

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G107 MATHEMATICS MSci

The single honours Mathematics MSci degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year 3* 4*
Analysis  Analysis 1 & 2 ·

(Real Analysis) 

Analysis 3: Complex Analysis ·

Analysis 4: Real Analysis 

   
Algebra  Algebra 1 & 2· Algebra 3: Further Linear Algebra ·

Algebra 4: Groups and Rings

   
Applied

Mathematics 

Applied 1 & 2· Fluid Mechanics ·

Analytic Dynamics

Electricity and Magnetism

   
Mathematical Methods  Methods 1 & 2· Methods 3: PDEs ·

Methods 4: Transforms 

   
Probability and Statistics    Probability and Statistics     
Numerical methods and programming    Computational Methods      
Other    Problem-solving in pure mathematics

Linear Programming and Optimization

  Project (1 unit) ·
Outside option

 

  At most ½ unit  At most 1 unit  At most 1 unit 

* In Year 3 of the MSci, there is a restricted range of appropriate designated courses, and in Year 4 a free choice, apart from the compulsory one unit of project which is the only dedicated fourth year course. Some related courses are given in alternate years permitting MSci students to study a particular area in greater depth

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G100 MATHEMATICS BSc

The single honours Mathematics BSc degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year 
Analysis  Analysis 1 & 2 ·

(Real Analysis) 

Analysis 3: Complex Analysis ·

Analysis 4: Real Analysis 

 
Algebra  Algebra 1 & 2· Algebra 3: Further Linear Algebra ·

Algebra 4: Groups and Rings

 
Applied

Mathematics 

Applied 1 & 2· Fluid Mechanics ·

Analytic Dynamics

Electricity and Magnetism

 
Mathematical Methods  Methods 1 & 2· Methods 3: PDEs ·

Methods 4: Transforms 

 
Probability and Statistics    Probability and Statistics   
Numerical methods and programming    Numerical Computation   
Other    Problem-solving in pure mathematics

Linear Programming and Optimization

 
Outside option

 

  At most ½ unit  At most 1 unit 

In Year 3 (BSc) there is a free choice from a wide range of options, including a few selected courses from Statistical Science and Physics & Astronomy. Up to one unit of "outside" options may be taken.

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G1F3 MATHEMATICS WITH MATHEMATICAL PHYSICS BSc

The Mathematics with Theoretical Physics BSc degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year 
Analysis  Analysis 1 & 2 ·

(Real Analysis) 

Analysis 3: Complex Analysis ·

Analysis 4: Real Analysis 

 
Algebra  Algebra 1 & 2· Algebra 3: Further Linear Algebra ·

Algebra 4: Groups and Rings

 
Applied

Mathematics 

Applied 1 & 2· Fluid Mechanics ·

Analytic Dynamics

Electricity and Magnetism

 
Mathematical Methods  Methods 1 & 2· Methods 3: PDEs ·

Methods 4: Transforms 

 
Probability and Statistics    Probability and Statistics   
Numerical methods and programming    Numerical Computation   
Other    Problem-solving in pure mathematics

Linear Programming and Optimization

 
Outside Option    At most 1/2 unit At most 1 unit 
Physics    Quantum Mechanics  Up to 1 unit 

 

In Year 3 (BSc) there is a free choice from a wide range of options, including up to 1 unit of appropriate courses offered by the Department of Physics & Astronomy. to study a particular area in greater depth.

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G1FH MATHEMATICS WITH MATHEMATICAL PHYSICS MSci

The Mathematics with Theoretical Physics MSci degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year  3 4
Analysis  Analysis 1 & 2 ·

(Real Analysis) 

Analysis 3: Complex Analysis ·

Analysis 4: Real Analysis 

   
Algebra  Algebra 1 & 2· Algebra 3: Further Linear Algebra ·

Algebra 4: Groups and Rings

   
Applied

Mathematics 

Applied 1 & 2· Fluid Mechanics ·

Analytic Dynamics

Electricity and Magnetism

General Relativity·  
Mathematical Methods  Methods 1 & 2· Methods 3: PDEs ·

Methods 4: Transforms 

   
Probability and Statistics    Probability and Statistics     
Numerical methods and programming    Numerical Computation     
Other    Problem-solving in pure mathematics

Linear Programming and Optimization

  Project (1 unit) ·
Outside Option

 

  At most 1/2 unit  At most 1 unit  At most 1 unit 
Physics    Quantum Mechanics At most 1 unit  At most 1 unit 

Up to one unit of "outside" options may be taken together with up to one unit of appropriate courses offered by the Department of Physics & Astronomy. In Year 3 of the MSci, there is a restricted range of appropriate designated courses, and in Year 4 a free choice, apart from the compulsory one unit of project course. Some related courses are given in alternate Years 3 and 4, permitting MSci students to study a particular area in greater depth.

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G1NF MATHEMATICS WITH MANAGEMENT STUDIES MSci

The Mathematics with Management Studies MSci degree programme structure is shown in the following table with · denoting a compulsory core course:
 
Year 
Core Mathematics  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3  ·

Algebra 3 ·

Mathematical Methods 3 ·

 

   
Mathematics Options    Choice of up to 3 courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Up to 3 units of Year 3 / Year 4 courses  Up to 2 units of Year 3 / Year 4 courses 
Core Management Studies  MSIN1001 Foundations of Management ·

MSIN1002 Communication and Behaviour in Organizations ·

MAST7001 Management Information and Control ·

MSIN7002 Business in a Competitive Environment ·

MSIN3001 Project Management ·with

MSIN3002 The Marketing Process· OR

MSIN7005 Law for managers ·

1 unit
Project      1 unit  
Outside Options    Up to ½ unit  Up to 1 unit  Up to 1 unit 

Some related courses are given in alternate years permitting MSci students to study a particular area in greater depth.

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G1N2 MATHEMATICS WITH MANAGEMENT STUDIES BSc

The Mathematics with Management Studies BSc degree programme structure is shown in the following table with · denoting a compulsory core course

Year 
Core Mathematics Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3  ·

Algebra 3 ·

Mathematical Methods 3 ·

 

 
Mathematics Options    Choice of up to 3 courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Up to 3 units of Year 3 / Year 4 courses 
Core Management Studies  MSIN1001 Foundations of Management ·

MSIN1002 Communication and Behaviour in Organizations ·

MAST7001 Management Information and Control ·

MSIN7002 Business in a Competitive Environment ·

MSIN3001 Project Management ·with

MSIN3002 The Marketing Process· OR

MSIN7005 Law for managers ·

Outside Options    Up to ½ unit  Up to 1 unit 

 

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G1LC MATHEMATICS WITH ECONOMICS MSci

The Mathematics with Economics MSci degree programme structure is shown in the following table. Years 1 and 2 are common with the BSc programme. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course. Some related courses are given in alternate years permitting MSci students to study a particular area in greater depth.
 

Year 
Core Mathematics  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3 ·

Algebra 3 ·

Mathematical Methods 3 ·

 

Choice of 2 units of 

Year 3 / Year 4 core courses 

 
Mathematics Options    Choice of three courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Choice of up to 1 unit of 

Year 3 / Year 4 courses 

Up to 2 units 
Project        1 unit 
Core Economics  ECONB001 Economics·

(1 unit) 

ECONB201 Intermediate Micro- economics ·

(1 unit) 

ECONB202 Intermediate Macro-economics ·

(1 unit)

1 unit from appropriate courses 
Outside Options    Up to ½ unit  Up to 1 unit  Up to 1 unit

The Mathematics with Economics MSci degree programme is roughly split between Mathematics and Economics in the ratio 3:1 over the first two years, with very little choice of courses. In the third and fourth years, choices are made between suitable courses offered by both subject departments

Normally at most a unit of "outside" options may be taken Years 3 and 4, subject to the approval of the Departmental tutor and the constraints of the timetable

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G1L1 MATHEMATICS WITH ECONOMICS BSc

The Mathematics with Economics BSc degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year 
Core Mathematics  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3 ·

Algebra 3 ·

Mathematical Methods 3 ·

 

 
Mathematics Options    Choice of 3 courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Choice of up to 3 units of Year 3 / Year 4 courses 
Core Economics  ECONB001 Economics·

(1 unit) 

ECONB201 Intermediate Micro- economics ·

(1 unit) 

ECONB202 Intermediate Macro-economics (recommended)

(1 unit)

Outside Options including Economics    Up to ½ unit  Up to 1 unit 

In Year 3, there is a free choice from a wide range of Mathematics options, with up to 1 unit of appropriate courses offered by the Department of Economics to enable study of a particular area in greater depth.

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GF1H MATHEMATICS AND PHYSICS MSci

The Mathematics and Physics MSci degree programme structure is shown in the following table. Years 1 and 2 are common with the BSc programme. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course.
 

Year 
4
Core Mathematics  Analysis 1 ·

Algebra for Combined Honours ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Applied Mathematics 1 ·

Analysis 3 ·

Mathematical Methods 3 ·

Algebra 3 ·

Fluid Mechanics ·

 
Mathematics Options    Choice of two from;

Analytical Dynamics, Mathematical Methods 4 OR

Probability and Statistics

Choice of designated options  At least 1 unit of suitable Mathematics courses 
Core Physics & Astronomy  Thermal Physics ·

Waves, Optics and Acoustics ·

Electricity and Magnetism ·

Quantum Physics ·

Statistical Thermodynamics and Condensed Matter Physics ·

Atomic and Molecular Physics ·

Electromagnetic Theory ·

Quantum Mechanics ·

Solid State Physics ·

Nuclear and Particle Physics ·

 
Physics & Astronomy Options     Choice of designated options At least 1 unit of suitable Physics & Astronomy courses
Mathematics and/or Physics & Astronomy       Project (1unit) ·
Outside Options     Up to ½ unit  Up to ½ unit 

In Mathematics, some related courses are given in alternate years permitting MSci students to study a particular area in greater depth. Fourth year Physics & Astronomy courses are run in collaboration with KCL, QMW and RHUL and are coordinated by an Intercollegiate Planning Board.

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GF13 MATHEMATICS AND PHYSICS BSc

The Mathematics and Physics BSc degree programme structure is shown in the following table. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course.
 

Year 
Core Mathematics  Analysis 1 ·

Algebra for Combined Honours ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Applied Mathematics 1 ·

Analysis 3 ·

Mathematical Methods 3 ·

 
Mathematics Options    Choice of two from;

Analytical Dynamics, Mathematical Methods 4 OR

Probability and Statistics

At least 1 unit from designated Year 3 courses 
Core Physics & Astronomy Thermal Physics ·

Waves, Optics and Acoustics ·

Electricity and Magnetism ·

Quantum Physics ·

Condensed Matter Physics ·

Atomic and Molecular Physics ·

Electromagnetic Theory ·

Quantum Mechanics ·

Solid State Physics ·

Nuclear and Particle Physics ·

Physics & Astronomy Options     Choice from suitable Physics courses 
Outside Options     Up to ½ unit 

In Mathematics, some related courses are given in alternate years permitting MSci students to study a particular area in greater depth.

Normally at most a half-unit of "outside" options may be taken in Year 3, subject to the approval of the appropriate Departmental tutors and the constraints of the timetable.

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G1T9 MATHEMATICS WITH MODERN LANGUAGES BSc

The Mathematics with Modern Languages BSc degree programme structure is shown in the following table with · denoting a compulsory core course:
 

Year 
Core Mathematics  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3 ·

Algebra 3 ·

Mathematical Methods 3 ·

 

 
Mathematics Options    Choice of 3 courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Choice of up to 3 units of Year 3 / Year 4 courses 
Core Language  (1 unit) · (1 unit) · (1 unit) ·
Outside Options    Up to ½ unit  Up to 1 unit 
 

In Year 3 there is a free choice from a wide range of Mathematics options, with 1 unit of appropriate language courses. Up to 1 unit of outside options may be taken.

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G1TX MATHEMATICS WITH MODERN LANGUAGES MSci

The Mathematics with a European Language MSci degree programme structure is shown in the following table. Years 1 and 2 are common with the BSc programme. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course.
 

Year 
Core Mathematics Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Algebra 2 ·

Mathematical Methods 1 ·

Mathematical Methods 2 ·

Analysis 3  ·

Algebra 3 ·

Mathematical Methods 3 ·

 

   
Mathematics

Options

  Choice of 3 courses from:
Analysis 4, Algebra 4, Mathematical Methods 4, Probability and Statistics, Computational Methods,
 
 

Problem Solving in Pure Mathematics OR 

Linear Programming and Optimization

Choice of at least 2 units of 

Year 3 / Year 4 designated courses 

Up to 2 units 
Project       1 unit 
Language 1 unit  1 unit  1 unit  1 unit 
Outside Options   Up to ½ unit  Up to 1 unit  Up to 1 unit

Some related courses are given in alternate years permitting MSci students to study a particular area in greater depth.

Normally at most 1 unit of "outside" options may be taken Year 4, subject to the approval of the Departmental tutor and the constraints of the timetable.

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GG13 MATHEMATICS AND STATISTICAL SCIENCE BSc

The Mathematics and Statistical Science BSc degree programme structure is shown in the following table. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course.
 

Year 
Core Maths  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Methods 1 ·

Methods 2 ·

Real Analysis ·

Complex Analysis ·

Algebra 2 ·

 
Maths options      At least two from

Real Analysis

Algebra 3: Further Linear Algebra

Algebra 4: Groups & Rings

Methods 3

Computational Methods

Probability

Graph Theory & Combinatorics

Operational Research & Mathematical Modelling

Mathematical Ideas in Biology

Core Statistical

Science 

Introduction to Probability ·

Introduction to Statistical 

Methods (1 unit) ·
Probability & Inference ·

Linear Models and the 

Analysis of Variance ·

Introduction to Applied Probability ·

Computing for Practical Statistics ·

Statistical Inference ·
Statistical Science

Options

  One from

Social Statistics

Optimization Algorithms in OR 

At least one from

Stochastic Systems 

Decision & Risk

Forecasting

Stochastic Methods in Finance

Actuarial Science

Medical Statistics

Project

Social Statistics or Opt Algorithms

Outside Options      At most ½ unit 

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GGC3 MATHEMATICS AND STATISTICAL SCIENCE MSci

The Mathematics and Statistical Science MSci degree programme structure is shown in the following table. Years 1 and 2 are common with the BSc programme. All courses are of half unit value unless stated otherwise and · denotes a compulsory core course.
 

Year 
Core Maths  Analysis 1 ·

Analysis 2 ·

Algebra 1 ·

Methods 1 ·

Methods 2 ·

Real Analysis ·

Complex Analysis ·

Algebra 2 ·

Real Analysis ·

Algebra 3: Further Linear Algebra ·

 
Maths options      At least one from

Algebra 4: Groups & Rings

Methods 3

Computational Methods

Probability

Functional Analysis

Mathematical Ideas in Biology

At least 1 unit 
Core Statistical
Science 
Introduction to Probability ·

Introduction to Statistical 

Methods (1 unit) ·

Probability & Inference ·

Linear Models and the 

Analysis of Variance ·

Introduction to Applied Probability ·

Computing for Practical Statistics ·

Statistical Inference ·  
Statistical Science

Options

  One from

Social Statistics

Optimization Algorithms in OR 

At least two from

Stochastic Systems 

Decision & Risk

Forecasting

Social Statistics or Opt Algorithms 

At least 1 unit 
Mathematics and/or Statistical Science        Project (1 unit) ·
Outside Options     At most ½ unit  At most ½ unit 

Some related courses are given in alternate Years 3 and 4, permitting MSci students to study a particular area in greater depth.

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Each ½ unit course is equivalent to 7.5 ECTS Credits and each whole unit course is equivalent to 15 ECTS Credits. Detailed information on the course unit or ECTS Credit value is given for individual courses in Section C.


This page was last modified on September 15, 2010 by Helen Higgins



Department of Mathematics - University College London - Gower Street - London - WC1E 6BT
Telephone: +44 (0)20 7679 2839/2841 - Copyright © 1999-2006 UCL

Department of Mathematics - University College London - Gower Street - London - WC1E 6BT - Telephone: +44 (0)20 7679 2839/2841 - Copyright © 1999-2006 UCL
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