Universitat Politècnica de Catalunya · BarcelonaTech

Further Mathematics for Environmental Science II (250564) – Course 2025/26 PDF

Syllabus

Learning Objectives

In this subject, mathematical tools for the study of environmental phenomena will be provided, such as vector fields and line and surface integrals. Computer and numerical simulation tools will also be provided for the practical application of these concepts. 1.- Relate the differential equations in partial derivatives to problems of environmental processes, especially Fluid Mechanics. 2.- Develop analytical solutions to complex boundary and initial value problems in several dimensions and with simple geometric conditions, which allow an analysis of these solutions, including a parametric study. 3.- Analytically describe curves and surfaces, calculate their properties and carry out differential and integral calculation operations. This subject focuses on highlighting aspects related to the state of health of the marine environment, mainly oriented to two well differentiated but complementary aspects. On the one hand, the ecological, ecosystemic and environmental aspects, which will give the students a specific vision of the environmental problems present in the marine environment, produced by the use and exploitation of the resources that it provides. On the other hand, this subject represents a transition of knowledge for students between the Extension of the subject of Basic Sciences, the subject of Applied Sciences and Techniques

Competencies

Especific

To know and apply the lexicon and concepts of the Marine Sciences and Technologies and other related fields.

Generic

Develop a professional activity in the field of Marine Sciences and Technologies.

Address in a comprehensive manner the analysis and preservation of the marine environment with sustainability criteria.

Total hours of student work

Hours Percentage
Supervised Learning Large group 30h 50.00 %
Medium group 30h 50.00 %
Self Study 90h

Teaching Methodology

Theoretical classes will be given, solving problems and practices. The subject is face-to-face and the work in class will be evaluated, in addition to the exams proposed for the course. The participation in class will be very positive. Class attendance will not be enough to pass the subject, which means that the student must spend about 4 hours a week on a regular basis outside the classroom. Support material is used in the format of a detailed teaching plan through the ATENEA virtual campus: contents, programming of assessment activities and directed learning and bibliography. Although most of the sessions will be given in the language indicated, sessions supported by other occasional guest experts may be held in other languages.

Grading Rules

The evaluation calendar and grading rules will be approved before the start of the course.

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Test Rules

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Office Hours

The hours of attention will be fixed at the beginning of the course

Bibliography

Basic