Linear algebra, Calculus I and II

1. Basic numerical skills to solve problems in Engineering. 2. The use of MATLAB to solve numerical problems. 3. Basic solving skills to solve counting problems. 4. Be able to model, pose and solve problems of communication, sound and image technologies.

C24_PAE: To apply and adapt technical knowledge and practical skills in the field of telecommunication engineering, participating in problem_solving and the development of solutions in a professional environment. KOPT_1: To know and understand in depth advanced technologies in the specific field of engineering and information and communication technologies, which constitute the state of the art in the area of study, including emerging trends and recent developments. KOPT_2: To interpret sources of scientific and technical information in order to deepen the knowledge of a specific area related to engineering and information and communication technologies. SOPT_1: Identify, assess their technical feasibility and apply advanced technological tools, methodologies and solutions used in the field of engineering and information and communication technologies to develop algorithms or systems integrating innovative and cutting_edge technologies. SOPT_2: Apply analytical and design methodologies to solve advanced problems in the field of engineering and information and communication technologies, and evaluate the performance and limitations of different technological approaches, proposing improvements and alternatives COPT_1: To conceive and develop projects that integrate advanced knowledge and provide innovative solutions in the field of engineering and information and communication technologies.

1. Introduction to Matlab and floating point arithmetic. Polynomial interpolation. Fourier series and trigonometric polynomial. Representation and approximation of signals. 2. Numerical integration methods. Simple and composite rules. Adaptive quadrature. 3. Initial value problems. The Euler, Taylor and Runge-Kutta methods. Prediction and correction methods. 4. Boundary value problems. Method of finite differences. Resolution of the wave equation. Finite element method and its applications.

There will be weakly sessions: - Theory sessions: the teacher will explain the fundamental concepts and results of the theory. - Exercise/Lab sessions: the students will work in solving exercises or writing codes to solve problems proposed by the professor.