# 2019/20 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.

**Year1** - 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 | |

MUSS1125 | Music Research Skills | 20 credits | Semesters 1 & 2 |

**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 40 credits from the following modules:

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

MUSS1120 | Music in History and Culture | 20 credits | Semesters 1 & 2 | |

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

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

MUSS1324 | Ensemble 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 cannot choose both MUSS1320 and MUSS1324.

Students may choose up to 15 credits from the following optional modules:

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

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

**Discovery modules:**

Alternatively, up to 10 credits of discovery modules may be chosen.

In all cases the choice of modules is subject to the approval of the Programme Manager.

**Year2** - 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.

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. 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 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 | Not running in 201920 | |

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 | Not running in 201920 | |

MUSS2825 | Opera North: Opera 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

EDUC2091 | School Mathematics | 10 credits | Semester 2 | |

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

MATH2027 | Rings and Polynomials | 10 credits | Semester 2 | |

MATH2041 | Logic | 10 credits | Semester 2 | |

MATH2042 | Logic with Computation | 15 credits | Semester 2 | |

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 | |

MATH2530 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2540 | 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 | Not running in 201920 | |

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.

**Year3** - View timetable

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

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

Students will be awarded the degree of BSc(Ord) Mathematics and Music if they do not pass a project mdoule.

**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 | |

MATH3017 | Calculus in the Complex Plane | 15 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 | |

MATH3195 | Commutative Rings and Algebraic Geometry | 15 credits | Semester 2 | |

MATH3211 | Metric and Function Spaces | 15 credits | Semester 1 | |

MATH3216 | 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 201920 | |

MATH3375 | Hydrodynamic Stability | 15 credits | Not running in 201920 | |

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

MATH3396 | Dynamical Systems | 15 credits | Not running in 201920 | |

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 201920 | |

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

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

MATH3475 | Modern Numerical Methods | 15 credits | Not running in 201920 | |

MATH3476 | Numerical Methods | 15 credits | Semester 1 | |

MATH3491 | Discrete Systems and Integrability | 15 credits | Not running in 201920 | |

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

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

MATH3532 | Relativity and Cosmology | 15 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 | |

MATH3734 | Stochastic Calculus for Finance | 15 credits | Semester 2 | |

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

MATH3820 | Bayesian Statistics | 10 credits | Semester 2 | |

MATH3823 | Generalised Linear Models | 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 2, Semester 1 | |

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

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

MUSS3440 | Editing and Source Studies | 40 credits | Semesters 1 & 2 | |

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

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

List C

EDUC3060 | Mathematics Education | 10 credits | Semester 2, Semester 1 | |

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

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

MATH2027 | Rings and Polynomials | 10 credits | Semester 2 | |

MATH2041 | Logic | 10 credits | Semester 2 | |

MATH2042 | Logic with Computation | 15 credits | Semester 2 | |

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 | |

MATH2530 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2540 | 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 | Not running in 201920 | |

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: 26/09/2019

## Browse Other Catalogues

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

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