Undergraduate Course: Maths for Music Technology II: Mathematical Applications in Acoustics and Music Technology [MFM II] (MUSI08059)
|School||Edinburgh College of Art
||College||College of Arts, Humanities and Social Sciences
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
||Availability||Not available to visiting students
|Summary||**PLEASE NOTE: THIS COURSE IS ONLY OPEN FOR RESITTING STUDENTS IN 2019/20**
The MFM I and MFM II courses aim to provide first and second year BMusTech students with a solid set of mathematical skills that are both relevant to their degree program and at a technical level close to that of introductory first year undergraduate mathematics courses (as delivered by the School of Maths).
While there are two separate courses to be delivered (MFM I in Semester 1 of year 1, MFM II in Semester 2 of year 2), they should really be thought of as two parts of a single program. The second year course will directly build upon the skills and experience of the first.
The emphasis throughout both courses will be upon the application of the maths skills to problems in music, sound processing and acoustics. There will be a small quantity of Matlab programming involved which will seek to make such applications explicit and engaging.
Taken together (as they normally should be), the courses provide a solid foundation for the more complex mathematical techniques used in some later Music Technology courses such as Musical Applications of Fourier Theory and Digital Signal Processing (MUSI10055), and Physics-based Modelling of Musical Instruments (MUSI10076).
1) Vectors and scalars
2) Discrete mathematics (series expansions and suchlike)
3) Introduction to 2nd order ODEs
4) Vibrations and waves
5) Simple harmonic motion
7) Introduction to Matlab programming
8) Introduction to Fourier theory (a brief intro, as there is already a full course for this subject, namely Musical Applications of Fourier Theory, MUSI10055)
Course Delivery Information
|Not being delivered|
On completion of this course, the student will be able to:
- Demonstrate knowledge and understanding of maths concepts essential in acoustics.
- Application of essential maths concepts within a musical and acoustical framework.
- Develop some familiarity with the Matlab programming environment, and have experience in using it to plot and analyse data, and model equations.
- Demonstrate knowledge and understanding of maths concepts essential in music technology.
- Demonstrate knowledge and understanding of basic linear algebra, complex numbers and ODEs
|Graduate Attributes and Skills
||The course should provide a solid background in mathematics that may be used right across the sciences and engineering. The technical level will be approximately that expected for a 1st year undergraduate mathemetics course.
|Keywords||mathematics maths music technology acoustics matlab algebra programming
|Course organiser||Dr Michael Newton
|Course secretary||Miss Laura Varga
Tel: (0131 6)50 2430