Physics and Mathematics for Music II
Type: Compulsory (OB)
Area: Specific technical training
ECTS: 3
Classroom hours: 24
Other contact hours: 6
Time for directed work (non face-to-face): 16
Hours for self-study and independent learning: 44
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
SO3: Apply technologies to the creation, performance and public dissemination of music, using technical resources that enable sound production and organisation, as well as the different approaches, applications and functionalities that underpin musical creation.
SO5: Understand and critically assess recent trends and developments in different fields of musical technology, evaluating their implications for creation, performance, dissemination and reception, and be able to design and programme applications for composition and performance in real or deferred time.
SO6: Understand musical instruments of the Western tradition and other cultures, their physical, acoustic and musical characteristics, their timbral and expressive possibilities, and promote their expansion through technological resources or design virtual instruments.
SO7: Understand techniques and procedures for supporting musical, sonic and audiovisual creative processes.
SO8: Plan sound‑production processes and generate and transform sounds and musical recordings with creative objectives defined by a production plan.
SO9: Use tools and devices to support or complement processes of capturing, recording, creating, manipulating and disseminating sonic and musical material.
SO10: Integrate art, technology and science with sufficient flexibility to adapt to multiple and changing environments.
Learning outcomes (general objectives)
- Understand the mathematical and physical foundations and their presence in the production and propagation of sound.
- Apply the mathematical and physical foundations of sound production and propagation to processes of synthesis, processing and sonic reconstruction.
- 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.