Universitat Politècnica de Catalunya · BarcelonaTech

Fundamentals of Mathematics (2500000) – Course 2025/26 PDF

Syllabus

Learning Objectives

Knowledge of basic mathematical notions. Numerical successions and series. Functions of real variables. Riemann Integral. 1 Ability to solve engineering problems related to trigonometric functions, derivation and integration tehniques. 2 Ability to solve maximum and minimum problems through differential calculation related to simple engineering problems. 3 Ability to solve integrals of a variable, and identify how this technique can be applied to simple engineering problems. Knowledge of differential and integral calculation of a variable. Ability to solve the mathematical problems posed in engineering involving these concepts. Knowledge of real numbers. Trigonometry knowledge. Knowledge of successions and calculation of limits. Knowledge of logic, set theory and algebraic structures. Knowledge of function theory including continuity and limit analysis. Knowledge of differential calculation of real variable functions including maximum and minimum problems in simple engineering problems.

Competencies

Especific

Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra; geometry; differential geometry; differential and integral calculation; differential equations and partial derivatives; numerical methods; numerical algorithmic; Statistics and optimization. (Basic training module)

Total hours of student work

Hours Percentage
Supervised Learning Large group 20h 33.33 %
Medium group 30h 50.00 %
Laboratory classes 10h 16.67 %
Self Study 90h

Teaching Methodology

The subject consists of 4 hours a week of face-to-face classes in the classroom and 2 hours a week of voluntary workshop. In face-to-face classes, the teaching staff presents the basic concepts and materials of the subject, presents examples and carries out exercises. The volunteer workshop hours are mostly devoted to consolidating concepts previous to entering university and solving problems, always having a great deal of interaction with the students. Support material is used in the form of a detailed teaching plan through the ATENEA virtual campus: contents, schedule of assessment and directed learning activities and bibliography. Although the majority of sessions will be held in the language indicated in the guide, sessions supported by other guest experts from time to time may be held in another language.

Grading Rules

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

The subject's grade is obtained from the continuous assessment grades and the corresponding laboratory and/or computer lab grades. There will be a global test with 50% of the weight of the assessment and the remaining 50% will be continuous assessment tests. The continuous assessment consists of doing different activities, both individual and group, of an additive and formative nature, carried out during the course (inside and outside the classroom). The assessment tests consist of a part with questions about concepts associated with the learning objectives of the subject in terms of knowledge or understanding, and a set of application exercises. Criteria for qualification and admission to the re-evaluation: Students suspended from the ordinary evaluation who have appeared regularly in the evaluation tests of the suspended subject will have the option to take a re-evaluation test in the period set in the academic calendar Students who have already passed it, or students classified as not present, will not be able to take the revaluation test of a subject. The maximum grade in the case of taking the reassessment exam will be five (5.0). The non-attendance of a student called to the re-evaluation test, held in the fixed period, cannot give rise to the completion of another test with a later date. Extraordinary assessments will be carried out for those students who, due to accredited force, have not been able to take any of the continuous assessment tests. These tests must be authorized by the corresponding head of studies, at the request of the teacher responsible for the subject, and will be carried out within the corresponding teaching period.

Test Rules

It is mandatory to do the exams and their corresponding make up tests (where appropriate); otherwise the student will fail the course and will get an NP (Incomplete) final grade.

Office Hours

To be agreed with the teachers of the subject

Bibliography

Basic