XSL Content
Mathematical Modelling
- Centre
- Faculty of Science and Technology
- Degree
- Bachelor's Degree in Biotechnology
- Academic course
- 2024/25
- Academic year
- 3
- No. of credits
- 6
- Languages
- Spanish
- Basque
TeachingToggle Navigation
Study type | Hours of face-to-face teaching | Hours of non classroom-based work by the student |
---|---|---|
Lecture-based | 30 | 45 |
Seminar | 6 | 9 |
Applied classroom-based groups | 9 | 13.5 |
Applied computer-based groups | 15 | 22.5 |
Teaching guideToggle Navigation
AimsToggle Navigation
MC07CM01 - Acquire a vision on the capacity and power of mathematics to solve practical
problems, and of its applications in a wide variety of areas.
M07CM02 - Develop the ability to find solutions, take decisions and propose operational methods
to other sciences or engineering disciplines.
M07CM03 - Foster the ability to use mathematics. Mathematics are also a tool that students need to
learn how to use.
- Learn about interactions between different parts of mathematics towards achieving a common objective.
- Know real situations, practical problems and their mathematical modeling.
- Learn about modeling models, including their origin and their own history.
- Gain experience in decision-making when approaching a practical situation and accepting the model.
TemaryToggle Navigation
1. INTRODUCTION TO MATHEMATICAL MODELLING.
2. MATHEMATICS IN THE PRESENT-DAY SOCIETY OF INFORMATION AND
IMAGES.
Google Mathematics. Image compression. Digitalisation. Corrective codes. Secure data.
Digital signature.
3. MODELS IN BIOLOGY.
Growth models in a population. Interaction models between species. Health-based
models.
4. MODELS IN PHYSICS.
Deformation of a continuous medium. Conservation laws. Introduction to fluid
mechanics.
5. PRACTICAL WORK.
Practical work is done with computers, implementing and applying the algorithms
studied and described in the theoretical part of the subject.
MethodologyToggle Navigation
The theoretical content will be explained in lectures, following basic references that
appear in the Bibliography and material of compulsory use. Lectures are complemented
with problem-solving classes (practical sessions) in which students will be asked to
solve questions where the knowledge acquired in the theoretical classes will be applied.
Representative questions and examples of the subject content will be worked on
seminars. These will usually be notified in advance so that the students can work on
them with a view to later reflection and discussion in a dedicated session. Practical work
with computers aimed at acquiring skills in the subject will also be done.
Students will do individual work on theory and problems in periodic seminars with the
support of the professor.
An important part of the student's work is of an individual nature. The professors will
provide guidance for this work and will encourage students to do it with regularity and
enthusiasm. Students are also encouraged to make use of one-to-one tutorials to clarify
any doubt of difficulty they may encounters in the subjects.
Assessment systemsToggle Navigation
CRITERIA FOR CONTINUOUS ASSESSMENT
Written exam: 65%
Preparation, drawing up and presentation of individual work: 20%
Handing in of exercises and active participation in the different sessions: 15%
To pass the subject, the student needs to obtain a mark of 4 out of 10 in the final written
exam.
CRITERIA FOR FINAL ASSESSMENT
A student who does not wish to participate in continuous assessment may officially
withdraw from it in writing to the professor responsible for his/her subject, within 15
weeks of the start of the term. As well as taking the exam, a student who chooses the
final evaluation modality will have to take a complementary test during the official
exam period, designed for the overall assessment of the activities carried out during the
year. This test may consist of an oral presentation, a computer-based demonstration or a
written description of the practical knowledge acquired in the activities carried out
during the year. To pass the complementary test it will be necessary to obtain at least 5
out of 10.
WITHDRAWAL:
A student who has completed the activities during the academic year but who does not
present him/herself for the ordinary call will be graded as "not presented".
Compulsory materialsToggle Navigation
- The teachers will upload useful material in the eGela virtual classroom.
- Information obtained from Internet.
- Scientific software as Mathematica.
BibliographyToggle Navigation
Basic bibliography
M. BRAUN: Differential Equations and Their Applications: An Introduction to Applied Mathematics, fourth edition, Springer, 1992.
L. EDELSTEIN-KESHET: Mathematical Models in Biology, SIAM, 2005.
R. HABERMAN: Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow, SIAM, 1998.
P.C. HANSEN, J.G. NAGY Y D.P O LEARY: Deblurring Images: Matrices, Spectra, and Filtering, SIAM, 2006.
E. KALNAY: Atmospheric Modelling, Data Assimilation and Predictability, Cambridge University Press, 2004.
O. PAPINI Y J WOLFMAN: Algèbre discréte et codes correcteurs, Springer, 1995.
GroupsToggle Navigation
01 Teórico (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-30 | 10:30-11:30 | 10:30-11:30 |
01 Seminar-1 (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
26-29 | 13:00-14:00 | ||||
30-30 | 12:00-13:00 |
01 Applied classroom-based groups-1 (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-16 | 12:00-13:00 | ||||
17-20 | 13:00-14:00 | ||||
21-21 | 12:00-13:00 | ||||
22-25 | 13:00-14:00 |
01 Applied computer-based groups-1 (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-30 | 10:30-11:30 |
31 Teórico (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-30 | 09:30-10:30 | 09:30-10:30 |
31 Seminar-1 (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
26-30 | 12:00-13:00 |
31 Applied classroom-based groups-1 (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-25 | 12:00-13:00 |
31 Applied computer-based groups-1 (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
16-30 | 09:30-10:30 |