Basic knowledge of Linear Algebra, Mathematical Analysis, Ordinary Differential Equations and Dynamic Systems
The analysis of the interaction between species that cohabit in the same environment, and the related issue of the propagation of behaviors or infections, is not only a topic of great interest in Biology, but has largely motivated the development of the theory of differential equations in the 20th century. In this course, we will review the basic mathematical models in this field, and we will pay special attention to the study of some representative examples.
Course competences | |
---|---|
Code | Description |
CE07 | Ability to understand and apply advanced knowledge of mathematics and numerical or computational methods to problems of biology, physics and astrophysics, as well as to build and develop mathematical models in science, biology and engineering |
CE08 | Ability to model, interpret and predict from experimental observations and numerical data |
CG01 | Know how to work in a multidisciplinary team and manage work time |
CG02 | Ability to generate and independently develop innovative and competitive proposals in research and professional activity in the scientific field of Physics and Mathematics |
CG03 | Present publicly the research results or technical reports, to communicate the conclusions to a specialized court, interested persons or organizations, and discuss with their members any aspect related to them |
CG04 | Know how to communicate with the academic and scientific community as a whole, with the company and with society in general about Physics and/or Mathematics and its academic, productive or social implications |
CG05 | Gain the ability to develop a scientific research work independently and in its entirety. Be able to search and assimilate scientific literature, formulate hypotheses, raise and develop problems and draw conclusions from the obtained results |
CG06 | Gain the capacity for dialogue and cooperation with scientific and business communities from other fields of research, including social and natural sciences |
Course learning outcomes | |
---|---|
Description | |
Gain the skill to apply and study classical mathematical methods. Critical analysis of mathematical results and their interpretation in terms of the starting model, with a view to its possible improvement | |
Know and compare the basic models in Population Dynamics, both continuous and discrete | |
Additional outcomes | |
Not established. |
Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
Class Attendance (practical) [ON-SITE] | Lectures | CE07 | 1.6 | 40 | Y | N | ||
Class Attendance (practical) [ON-SITE] | Project/Problem Based Learning (PBL) | CE08 | 1.4 | 35 | Y | N | ||
Practicum and practical activities report writing or preparation [OFF-SITE] | Individual presentation of projects and reports | CG01 | 0.66 | 16.5 | Y | N | ||
Problem solving and/or case studies [ON-SITE] | Case Studies | CG02 | 0.5 | 12.5 | Y | N | ||
Writing of reports or projects [OFF-SITE] | Reading and Analysis of Reviews and Articles | CG03 | 0.8 | 20 | Y | N | ||
Progress test [ON-SITE] | Assessment tests | CG04 | 0.12 | 3 | Y | N | ||
Study and Exam Preparation [OFF-SITE] | CG06 | 0.92 | 23 | Y | N | |||
Total: | 6 | 150 | ||||||
Total credits of in-class work: 3.62 | Total class time hours: 90.5 | |||||||
Total credits of out of class work: 2.38 | Total hours of out of class work: 59.5 |
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
Assessment of active participation | 10.00% | 0.00% | |
Final test | 30.00% | 100.00% | |
Assessment of problem solving and/or case studies | 60.00% | 0.00% | |
Total: | 100.00% | 100.00% |
Not related to the syllabus/contents | |
---|---|
Hours | hours |
Unit 1 (de 5): Introduction to the mathematical problems on ecology | |
---|---|
Group 20: | |
Initial date: 23-09-2019 | End date: 23-09-2019 |
Unit 3 (de 5): Infections Propagation studies. | |
---|---|
Group 20: | |
Initial date: 04/11/2019 | End date: 16/12/2019 |
Unit 4 (de 5): Discrete models. Periodicity and chaos. Matrix models and biological cycles. | |
---|---|
Group 20: | |
Initial date: 13/01/2020 | End date: 20/01/2020 |