Universitat Politècnica de Catalunya · BarcelonaTech

Fundamentals of Mathematics for Environmental Science (250554) – Course 2025/26 PDF

Syllabus

Learning Objectives

In this course, some basic mathematical aspects will be provided to understand the existing relationships between different environmental parameters. Emphasis will be placed on teaching a block of basic mathematical tools: matrices, differential calculus, integral calculus, and geometry. At the end of the course, the students should have: a) obtained knowledge and calculus skills on matrices and systems of linear equations, basic linear transformations in the plane and space, differential and integral calculus of real-valued real functions; b) acquired basic knowledge about the use of Matlab, having had to practice with problems posed in some of the subjects that make up the course program;

Competencies

Especific

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

Establish a good practice in the integration of common numerical, laboratory and field techniques in the analysis of any problem related to the marine environment.

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. Each week will consist of 4h-regular sessions + 2h of workshop (where additional questions can be answered and clarified, some other problems can be solved, etc.). 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.

The grade for the course will consist of: - Activities (NA). - Two exams (NE1 and NE2). 1. Activities (NA) will include, among others, the resolution of problems and the participation in class. 2. The contents of the NE1 and NE2 exams will be in accordance with all the subject taught from the beginning of the course. - The NE1 exam will be taken approximately halfway through the semester and the subjects taught so far will enter. - The NE2 exam will be a final exam, where the complete subject taught throughout the course will enter. The note of the exams will be calculated as: NE = max (0.3 * NE1 + 0.7 * NE2, NE2) The final grade for the course will be: Final Note = 0.25 * NA + 0.75 * NE

Test Rules

Will be discussed at the beginning of the course.

Bibliography

Basic

Complementary