# 2017/18 Undergraduate Programme Catalogue

## BSc Mathematics and Music

Programme code: | BS-MATH&MUSC | UCAS code: | GW13 |
---|---|---|---|

Duration: | 3 Years |
Method of Attendance: | Full Time |

Programme manager: | Dr R. Sturman | Contact address: | R.Sturman@maths.leeds.ac.uk |

### Total credits: 360

### Entry requirements:

AAB from three A-levels including Music and grade A in Mathematics, or equivalent alternative qualifications.

### School/Unit responsible for the parenting of students and programme:

School of Mathematics

### Examination board through which the programme will be considered:

School of Mathematics

### Relevant QAA Subject Benchmark Groups:

### Programme specification:

The programme will aim to:

_ introduce students to the major branches of mathematics and music;

- meet the needs of students with varied mathematical, scientific and musical backgrounds and with different aspirations;

- enable students to appreciate the coherence and logical structure of mathematics, and its applicability to music;

- impart an awareness of the values of research and scholarshipin mathematics and music;

- prepare students to work in fields where specific and broadly based advanced mathematical knowledge is required;

- enable students to embark on research in some area of mathematics or music.

**Year 1** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in each academic year.

**Compulsory modules:**

Students will be required to study the following compulsory modules:

MATH1050 | Calculus and Mathematical Analysis | 10 credits | Semester 1 | |

MATH1055 | Numbers and Vectors | 10 credits | Semester 1 | |

MATH1060 | Introductory Linear Algebra | 10 credits | Semester 2 | |

MATH1400 | Modelling with Differential Equations | 10 credits | Semester 2 | |

MUSS1020 | Understanding Music | 20 credits | Semesters 1 & 2 | |

MUSS1110 | Music Research Skills | 10 credits | Semester 1 |

**Optional modules:**

Students must study at least 10 credits from the following modules:

MATH1225 | Introduction to Geometry | 10 credits | Semester 1 | |

MATH1710 | Probability and Statistics I | 10 credits | Semester 1 |

Students must choose between 20 and 40 credits from the following modules:

MUSS1220 | Composition | 20 credits | Semesters 1 & 2 | |

MUSS1320 | Performance | 20 credits | Semesters 1 & 2 | |

MUSS1620 | Sound, Technology, and Music | 20 credits | Semesters 1 & 2 | |

MUSS1920 | Introduction to the Psychology of Music | 20 credits | Semesters 1 & 2 |

Students may choose up to 25 credits from the following optional modules:

MATH1510 | Financial Mathematics 1 | 15 credits | Semester 2 | |

MATH1712 | Probability and Statistics II | 10 credits | Semester 2 | |

MUSS1220 | Composition | 20 credits | Semesters 1 & 2 | |

MUSS1320 | Performance | 20 credits | Semesters 1 & 2 | |

MUSS1324 | Ensemble Performance | 20 credits | Semesters 1 & 2 |

**Discovery modules:**

Alternatively, up to 20 credits of discovery modules may be chosen.

In all cases the choice of modules is subject to the approval of the Head of the School of Mathematics.

**Year 2** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in each academic year.

**Compulsory modules:**

Students are required to study the following modules:

MATH2340 | The Mathematics of Music | 10 credits | Semester 1 | |

MATH2365 | Vector Calculus | 15 credits | Semester 1 |

**Optional modules:**

Students need to choose at least one of the following modules. Students will not usually take more than one Music in Context or Music in Practice module. If you are thinking about taking more than one, please contact the Programme Manager.

List A

MATH2022 | Groups and Vector Spaces | 15 credits | Semester 1 | |

MATH2375 | Linear Differential Equations and Transforms | 15 credits | Semester 2 |

Student must choose exactly one module from the following list:

List B

MUSS2721 | Music in Context A | 20 credits | Semester 1 | |

MUSS2722 | Music in Context B | 20 credits | Semester 2 |

Students are required to study 40 credits from the following optional modules:

List C

MUSS2020 | Interpreting Music | 20 credits | Semesters 1 & 2 | |

MUSS2220 | Composition | 20 credits | Semesters 1 & 2 | |

MUSS2320 | Performance | 20 credits | Semesters 1 & 2 | |

MUSS2324 | Ensemble Performance | 20 credits | Semesters 1 & 2 | |

MUSS2420 | Notation and Editing | 20 credits | Semesters 1 & 2 | |

MUSS2620 | Music Technology Skills and Techniques | 20 credits | Semesters 1 & 2 | |

MUSS2820 | Music in Practice | 20 credits | Semester 1 | |

MUSS2822 | Music in Practice | 20 credits | Semester 2 | |

MUSS2823 | Music in Practice | 20 credits | Semesters 1 & 2 | |

MUSS2920 | The Psychology of Listening and Performance | 20 credits | Semesters 1 & 2 | |

MUSS2925 | Music Students into Schools | 20 credits | Semesters 1 & 2 |

Depending on the choices made in list A, students must choose between 10 and 25 credits from the following list:

List D

EDUC2071 | School Mathematics from an Advanced (Undergraduate) Perspective | 10 credits | Semester 2 | |

MATH2017 | Real Analysis | 15 credits | Semester 2 | |

MATH2026 | Rings, Fields and Polynomials | 10 credits | Semester 2 | |

MATH2040 | Mathematical Logic 1 | 10 credits | Semester 1 | |

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2230 | Discrete Mathematics | 10 credits | Semester 2 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2391 | Nonlinear Differential Equations | 10 credits | Semester 2 | |

MATH2410 | Special Relativity | 10 credits | Semester 1 | |

MATH2515 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2525 | Financial Mathematics 3 | 10 credits | Semester 2 | |

MATH2600 | Numerical Analysis | 10 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2620 | Fluid Dynamics 1 | 10 credits | Semester 2 | |

MATH2715 | Statistical Methods | 10 credits | Semester 1 | |

MATH2735 | Statistical Modelling | 10 credits | Semester 1 | |

MATH2740 | Environmental Statistics | 10 credits | Semester 2 | |

MATH2750 | Introduction to Markov Processes | 10 credits | Semester 2 | |

MATH2775 | Survival Analysis | 10 credits | Semester 2 | |

MATH2800 | Mathematics into Schools | 10 credits | Semesters 1 & 2 | |

MATH2900 | Maths at Work | 10 credits | Semesters 1 & 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 |

Students are only allowed to take at most one of EDUC2071, MATH2800, MATH2900, MUSS2925.

!! IMPORTANT !! When choosing options, students must take into account which modules they intend to take in Year 3 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

In order to progress to Year 3, students must pass at least 40 credits of level 2 MATH modules and 40 credits of level 2 MUSS modules.

**Discovery modules:**

Students who would like to choose Discovery modules (including Maths or Musics modules) should consult with the Programme Manager.

**Year 3** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in each academic year.

**Optional modules:**

Students must choose 120 or 125 credits from lists A, B and C with:

- 60 credits of Music and 60 or 65 credits of Mathematics modules (EDUC3060, COMP3910 and COMP3940 count as Mathematics modules for this purpose);

- at least 100 credits at level 3;

- one or two modules from List A;

- at least 40 credits of MATH modules from List A and B.

Students who wish to enrol on a different split of credits between Music and Mathematics, must get permission frm the Programme Manager.

List A

MATH3001 | Project in Mathematics | 20 credits | Semesters 1 & 2 | |

MUSS3140 | Dissertation | 40 credits | Semesters 1 & 2 | |

MUSS3325 | Applied Project | 20 credits | Semesters 1 & 2 |

List B

COMP3910 | Combinatorial Optimisation | 10 credits | Semester 2 | |

COMP3940 | Graph Algorithms and Complexity Theory | 10 credits | Semester 1 | |

MATH3033 | Graph Theory | 15 credits | Semester 1 | |

MATH3044 | Number Theory | 15 credits | Semester 2 | |

MATH3071 | Groups and Symmetry | 15 credits | Semester 1 | |

MATH3104 | Proof and Computation | 15 credits | Semester 2 | |

MATH3113 | Differential Geometry | 15 credits | Semester 2 | |

MATH3120 | Models and Sets | 15 credits | Semester 1 | |

MATH3143 | Combinatorics | 15 credits | Semester 2 | |

MATH3153 | Coding Theory | 15 credits | Semester 1 | |

MATH3193 | Algebras and Representations | 15 credits | Semester 1 | |

MATH3210 | Metric Spaces | 15 credits | Semester 1 | |

MATH3215 | Hilbert Spaces and Fourier Analysis | 15 credits | Semester 2 | |

MATH3225 | Topology | 15 credits | Semester 2 | |

MATH3232 | Transformation Geometry | 15 credits | Semester 1 | |

MATH3355 | Hamiltonian Systems | 15 credits | Semester 2 | |

MATH3365 | Mathematical Methods | 15 credits | Semester 1 | |

MATH3374 | Linear and Non-Linear Waves | 15 credits | Not running in 201718 | |

MATH3375 | Hydrodynamic Stability | 15 credits | Not running in 201718 | |

MATH3385 | Quantum Mechanics | 15 credits | Semester 1 | |

MATH3396 | Dynamical Systems | 15 credits | Not running in 201718 | |

MATH3397 | Nonlinear Dynamics | 15 credits | Semester 1 | |

MATH3414 | Analytic Solutions of Partial Differential Equations | 15 credits | Semester 1 | |

MATH3424 | Introduction to Entropy in the Physical World | 15 credits | Not running in 201718 | |

MATH3458 | Geophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3459 | Astrophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3474 | Numerical Methods | 10 credits | Semester 1 | |

MATH3475 | Modern Numerical Methods | 15 credits | Semester 2 | |

MATH3491 | Discrete Systems and Integrability | 15 credits | Not running in 201718 | |

MATH3510 | Actuarial Mathematics 1 | 15 credits | Semester 1 | |

MATH3520 | Actuarial Mathematics 2 | 15 credits | Semester 2 | |

MATH3531 | Cosmology | 10 credits | Semester 2 | |

MATH3565 | Mathematical Biology | 15 credits | Semester 1 | |

MATH3567 | Evolutionary Modelling | 15 credits | Semester 2 | |

MATH3620 | Fluid Dynamics 2 | 15 credits | Semester 1 | |

MATH3714 | Linear Regression and Robustness | 15 credits | Semester 1 | |

MATH3723 | Statistical Theory | 15 credits | Semester 2 | |

MATH3733 | Stochastic Financial Modelling | 15 credits | Semester 2 | |

MATH3802 | Time Series | 10 credits | Semester 1 | |

MATH3820 | Bayesian Statistics | 10 credits | Semester 1 | |

MATH3823 | Generalised Linear Models | 10 credits | Semester 2 | |

MATH3880 | Introduction to Statistics and DNA | 10 credits | Semester 2 | |

MUSS3040 | Analysing Music | 40 credits | Semesters 1 & 2 | |

MUSS3121 | Special Study in Musicology A | 20 credits | Semester 1 | |

MUSS3122 | Special Study in Musicology B | 20 credits | Semester 2 | |

MUSS3240 | Composition | 40 credits | Semesters 1 & 2 | |

MUSS3321 | Performance Platform | 20 credits | Semester 1, Semester 2 | |

MUSS3324 | Ensemble Performance | 20 credits | Semesters 1 & 2 | |

MUSS3340 | Performance | 40 credits | Semesters 1 & 2 | |

MUSS3440 | Editing and Source Studies | 40 credits | Not running in 201718 | |

MUSS3640 | Music Technology | 40 credits | Semesters 1 & 2 | |

MUSS3940 | Music Psychology | 40 credits | Semesters 1 & 2 |

List C

EDUC3060 | Mathematics Education | 10 credits | Semester 1 | |

MATH2017 | Real Analysis | 15 credits | Semester 2 | |

MATH2022 | Groups and Vector Spaces | 15 credits | Semester 1 | |

MATH2026 | Rings, Fields and Polynomials | 10 credits | Semester 2 | |

MATH2040 | Mathematical Logic 1 | 10 credits | Semester 1 | |

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2230 | Discrete Mathematics | 10 credits | Semester 2 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2391 | Nonlinear Differential Equations | 10 credits | Semester 2 | |

MATH2410 | Special Relativity | 10 credits | Semester 1 | |

MATH2515 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2525 | Financial Mathematics 3 | 10 credits | Semester 2 | |

MATH2600 | Numerical Analysis | 10 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2620 | Fluid Dynamics 1 | 10 credits | Semester 2 | |

MATH2640 | Introduction to Optimisation | 10 credits | Semester 1 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2715 | Statistical Methods | 10 credits | Semester 1 | |

MATH2735 | Statistical Modelling | 10 credits | Semester 1 | |

MATH2740 | Environmental Statistics | 10 credits | Semester 2 | |

MATH2750 | Introduction to Markov Processes | 10 credits | Semester 2 | |

MATH2775 | Survival Analysis | 10 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 | |

MATH3015 | History of Mathematics | 15 credits | Semester 2 | |

MATH3021 | Philosophy of Logic and Mathematics | 20 credits | Semester 2 |

Last updated: 26/04/2017

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD