Checking date: 31/05/2022

Course: 2022/2023

Modeling Techniques
Study: Bachelor in Applied Mathematics and Computing (362)

Coordinating teacher: CUERNO REJADO, RODOLFO

Department assigned to the subject: Mathematics Department

Type: Electives
ECTS Credits: 6.0 ECTS


Requirements (Subjects that are assumed to be known)
Linear Algebra (Course 1- Semester 1) Differential Calculus (Course 1 - Semester 1) Programming (Course 1 - Semester 1) Integral Calculus (Course 1 - Semester 2) Numerical Methods (Course 2 - Semester 1) Ordinary Differential Equations (Course 3 - Semester 1)
Skills and learning outcomes
Description of contents: programme
1. Dimensional analysis 2. Ordinary differential equations as models 3. Regular and singular perturbation methods 4. Calculus of variations 5. Stability and bifurcation 6. Deterministic chaos: properties and characterization 7. Models based on difference equations 8. Agent-based models
Learning activities and methodology
AF1.THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students must acquire. Student receive course notes and will have basic reference texts to facilitatefollowing the classes and carrying out follow up work.Students partake in exercises to resolve practical problems and participatein workshops and an evaluation tests, all geared towards acquiring the necessary capabilities.Subjects with 6 ECTS are44 hours as a general rule/ 100% classroom instruction AF2.TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.Subjects with 6 credits have 4 hours of tutoring/ 100% on- site attendance. AF3.STUDENT INDIVIDUAL WORK OR GROUP WORK.Subjects with 6 credits have 98 hours/0% on-site. AF8.WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. MD1.THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed, while providing material and bibliography to complement student learning. MD2.PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group. MD3.TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with teacher as tutor. Subjects with 6 credits have 4 hours of tutoring/100% on-site. MD6.LABORATORY PRACTICAL SESSIONS. Applied/experimental learning/teaching in workshops and laboratories under the tutor's supervision.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40
Calendar of Continuous assessment
Basic Bibliography
  • M. H. Holmes. Introduction to the foundations of applied mathematics. Springer LLC. 2019
  • N. Boccara. Modeling complex systems. Springer LLC. 2010
  • S. H. Stogatz. Nonlinear dynamics and chaos. Perseus books. 2015
Additional Bibliography
  • C. L. Dym. Principles of mathematical modeling. Elsevier. 2004
  • C. Misbah. Complex dynamics and morphogenesis. Springer. 2017
  • H. Sayama. Introduction to the modeling and analysis of complex systems. Open SUNY textbooks ( 2015
  • J. D. Logan. Applied mathematics. Wiley interscience. 2006
  • S. Heinz. Mathematical modeling. Springer-Verlag. 2011

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