Physics and Mathematics for Music I


Type: Compulsory (OB)

Area: Specific technical training

ECTS: 3

Classroom hours: 24
Other contact hours: 6
Time for directed work (non face-to-face): 30
Hours for self-study and independent learning: 30

Department: Music Technologies

Competences developed in the course

Transversal Competences

CT8: Develop ideas and arguments in a reasoned and critical manner.

CT14: Master research methodology in the development of projects, ideas and viable solutions.

 

General Competences

CG23: Value musical creation as the act of giving sonic form to a rich and complex structural thought.

CG24: Develop capacities for self‑directed learning throughout one’s professional life.

CG25: Understand and use study and research methodologies that enable continuous development and innovation in musical activity.

 

Specific Competences

SO7: Understand techniques and procedures for supporting musical, sonic and audiovisual creative processes.

SO10: Integrate art, technology and science with sufficient flexibility to adapt to multiple and changing environments.

Learning outcomes (general objectives)

  1. Understand the mathematical and physical foundations and their presence in the production and propagation of sound.
  2. Apply the mathematical and physical foundations of sound production and propagation to processes of synthesis, processing and sonic reconstruction.
  3. Develop logical and analytical concepts for the study of musical processes and signals.

Contents

Elementary algebra. Trigonometry. Exponential and logarithmic functions. Differential equations. Integral calculus. Fundamentals of physical mechanics. Application of knowledge to the formulation and resolution of problems related to sound and music. Use of specific software for symbolic and numerical resolution of mathematical and physical problems.

Teaching methodology

Teaching–learning methodology includes lectures (topic presentations), debate and discussion sessions, group work sessions and student presentations.

Assessment systems

Continuous assessment based on diagnostic evaluation and formalised through summative assessment leading to the final grade. Continuous assessment is carried out through different evaluation records derived from specific activities such as class participation and work, presentation of assignments, completion of tasks and/or readings outside class, submission of written work or written and oral examinations.