Teaching

Teaching overview

My teaching experience includes undergraduate and master’s courses in applied mathematics, numerical methods and computational mechanics at the University of Alicante, the University of Padova, Technische Universität Braunschweig and the Universitat Oberta de Catalunya. I have taught in Spanish, English and Italian, in both face-to-face and online settings, and I currently coordinate an undergraduate mathematics course in Aerospace Engineering.

Table of contents

1. Current teaching
2. Previous teaching
3. Supervision and mentoring

4. Teaching innovation and training
5. Teaching-related publications

1. Current teaching

Fundamentos Matemáticos en Ingeniería I
BSc in Aerospace Engineering, University of Alicante
Lecturer and course coordinator · 2024–present · Course guide

Matemáticas Básicas
BSc in Sound and Image Engineering, University of Alicante
Lecturer · 2024–present · Course guide

Cálculo Diferencial Avanzado (upcoming)
MSc in Civil Engineering, University of Alicante
Lecturer and course coordinator · 2026/2027 (scheduled)

2. Previous teaching

• Particle Based Methods in Engineering — MSc in Civil Engineering, Technical University of Munich (2025/2026)
  Guest lecture: Constitutive Modeling of Granular Material and Extensions of MPM Formulations · 2 hours
• Métodos Numéricos en Ciencia de Datos — BSc in Applied Data Science, Universitat Oberta de Catalunya (2025/2026)
  
• Fundamentos de Matemática Aplicada 2 — BSc in Robotics Engineering, University of Alicante (2024/2025) · Course guide
  
• Fundamentos Matemáticos 2 — BSc in Architecture, University of Alicante (2024/2025) · Course guide
  
• Particle Methods — MSc in Civil Engineering, Technische Universität Braunschweig (2023/2024)
  
• Calcolo Numerico — BSc in Chemical and Materials Engineering, University of Padova (2022/2023)
  
• Numerical Methods for Continuous Systems — MSc in Mathematical Engineering, University of Padova (2022/2023)

3. Supervision and mentoring

3.1. Master’s theses supervised

Giovanni Campanella — A mixed Material Point Method for the Stokes equations: a stabilized velocity-pressure formulation [Link]
Master in Mathematical Engineering, University of Padova · Co-supervised with Antonia Larese · July 2025

Alessandro Contri — An Updated Lagrangian displacement-based formulation for free surface incompressible fluids using MPM [Link]
Master in Mathematical Engineering, University of Padova · Co-supervised with Antonia Larese · December 2021

3.2. Bachelor theses supervised

Lucas Peydró Ferrando — Simulación Numérica de las olas generadas por deslizamientos mediante el método del punto material: aplicación al caso de Lituya Bay [Link]
BSc in Physics, University of Alicante · July 2026

3.3. Academic mentoring and student support

• Yo te ayudo con las Mates — Academic coordinator and supervisor in a peer-supported mathematics reinforcement programme for first-year Engineering and Architecture students, School of Engineering, University of Alicante, March–May 2025.

4. Innovation and training

Projects and training in university teaching, digital learning environments, assessment and educational innovation.

Teaching innovation projects

2-. Herramientas de autocorrección para potenciar el aprendizaje autónomo en Cálculo Numérico,Team member, University of Alicante, 2024–2026
1-. Influencia de la nota de corte en la participación y el rendimiento académico: comparación entre Ingeniería Civil e Ingeniería Aeroespacial en las materias básicas de Métodos Numéricos y Estadística,Team member, University of Alicante, 2024–2026

Training

• REDES-INNOVAESTIC 2026 — Attendee and poster presenter, University of Alicante, 2026
• Sumérgete en la UOC: Training in Online University Teaching, Universitat Oberta de Catalunya, 2026
• Introduction to Educational Innovation and Active Learning Methodologies, University of Alicante, 2025
• Assessment in Higher Education, University of Alicante, 2025
• Early-career university teaching programme, including academic management, inclusion, equality and library resources, University of Alicante, 2025

5. Teaching-related publications

Publications and outputs related to teaching innovation and university learning.

1. Vargas Alemañy, J. A.; Vigo Aguiar, I.; Sayol España, J. M.; Moreno Martínez, L.; García García, D. “Autocorrección en Cálculo Numérico: Mejora del Aprendizaje Autónomo y Optimización de la Evaluación Continua.” Redes de Investigación e Innovación en Docencia Universitaria. Volumen 2025, pp. 367–376. Instituto de Ciencias de la Educación, University of Alicante, 2025. ISBN 978-84-09-76835-6. [Full text]