Checking date: 19/02/2025


Course: 2025/2026

Mechanics and Waves
(20135)
Bachelor in Applied Mathematics (Plan: 554 - Estudio: 507)


Coordinating teacher:

Department assigned to the subject:

Type: Basic Core
ECTS Credits: 6.0 ECTS

Course:
Semester:




Learning Outcomes
K7: To know the basic and central concepts and the most common methodologies of disciplines in which mathematical language and method are applied, such as physics, biology, economics, data science or cryptography. S2: Apply combined knowledge of mathematics and physics to model phenomena in areas such as biology, economics, or data science. C5: Abstract complex problems from real life or other sciences and formulate them in terms of mathematical equations, using variables, constants and parameters to make them understandable and solvable.
Description of contents: programme
Kinematics of a Particle: Velocity and Acceleration. Linear, flat and three-dimensional movement. Rotation in the plane. Intrinsic components of acceleration. Dynamics of a particle: Forces. Newton's laws. Friction and Tension. Energy and work. Momentum and momentum. Conservative Forces. Potential energy. Central Forces. Angular momentum. Kinematics and Dynamics of a Particle System: Center of Mass. Reduced mass. Mass Center Reference System. Energy, linear momentum, and angular momentum of a particle system. Kinematics and Dynamics of the Rigid Solid. Angular momentum of the rigid solid. Moment of inertia and turning radius. Equation of motion of the rigid solid. Rotational kinetic energy. Relative motion. Vibrations: the harmonic oscillator. Cushioned harmonic oscillator. Forced harmonic oscillator. Resonances. Normal modes of vibration. Small oscillations. Waves. Equation of waves on a string. Harmonic waves. Normal modes on the string. Traveling waves in the string. Phase speed and group speed.
Learning activities and methodology
A1: CLASSROOM LECTURES. Each subject has two weekly sessions: a lecture session, with more theoretical content, and a reduced session, with more practical content. In this session, the main theoretical content takes place. 100% de presencialidad / A2: FACE-TO-FACE CLASSES: REDUCED (WORKSHOPS, SEMINARS, CASE STUDIES). As indicated above, this session has a more practical content where teachers can carry out some of the examples given. 100% de presencialidad / A3: STUDENT INDIVIDUAL WORK. 0% de presencialidad / A4: LABORATORY SESSION. This is a series of additional hours where teachers reinforce more practical content with students. 100% de presencialidad / A5: FINAL EXAM. 100% de presencialidad M1: SEMINARS AND LECTURES SUPPORTED BY COMPUTER AND AUDIOVISUAL AIDS. / M2: PRACTICAL LEARNING BASED ON CASES AND PROBLEMS, AND EXERCISE RESOLUTION. / M3: INDIVIDUAL AND GROUP OR COOPERATIVE WORK WITH THE OPTION OF ORAL OR WRITTEN PRESENTATION. / M4: INDIVIDUAL AND GROUP TUTORIALS TO RESOLVE DOUBTS AND QUERIES ABOUT THE SUBJECT.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40




Extraordinary call: regulations

The course syllabus may change due academic events or other reasons.