Degree | Type | Year |
---|---|---|
Physics | FB | 1 |
You can view this information at the end of this document.
There are no prerequisites for enrolment.
However, for the development of the course, it is assumed that students have assimilated the contents of the Càlcul d'una variable course from the first semester.
This course is the natural continuation of the Càlcul d'una variable course from the first semester. It deals with calculus involving functions of several real variables and the study of their differential properties. The main objective is to provide students with the necessary mathematical tools to successfully follow second-year courses such as Classical Mechanics, Electromagnetism, and Optics.
Functions of several variables (limits, continuity, scalar and vector-valued functions, 𝑅𝑛 spaces, norm, distance)
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Problem classes | 14 | 0.56 | CM10, SM07, CM10 |
Seminars/In-depth study | 8 | 0.32 | CM09, CM10, SM07, CM09 |
Theory lectures | 28 | 1.12 | CM09, KM09, KM10, CM09 |
Type: Autonomous | |||
Problem solving | 45 | 1.8 | CM10, SM07, CM10 |
Study | 43 | 1.72 | CM09, KM09, KM10, CM09 |
Theory classes: Presentation of the theoretical content of the course.
Problem-solving classes: Presentation of the solution to some of the problems from the list previously given to the students, along with guidance for solving the remaining ones. In-class problem-solving by the students, working on proposed exercises under the supervision of the instructor.
Seminar/Advanced session: Activity aimed at reviewing and deepening a theoretical topic and/or solving specific problems.
Note: Fifteen minutes of one class session, within the schedule established by the department/degree program, will be reserved for students to complete surveys evaluating the teaching performance of the instructor and the course/module.
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Deliveries | 20% | 5 | 0.2 | CM10, SM07 |
Partial exam 1 | 40% | 2 | 0.08 | CM09, CM10, KM09, KM10, SM07 |
Partial exam 2 | 40% | 2 | 0.08 | CM09, CM10, KM09, KM10, SM07 |
Recovery Exam | 40-80% | 3 | 0.12 | CM09, CM10, KM09, KM10, SM07 |
Assessment
Non-assessable: students will be marked as non-assessable if they have not completed at least 50% of the assessable activities.
Single-assessment option
Students who opt for the single-assessment mode must take a final exam covering the entire syllabus. This exam will be held on the same day, time, and place as the second midterm exam of the continuous assessment mode. Additionally, before the exam begins, students must submit two written assignments containing the solutions to two selected sets of problems provided earlier. For grading purposes, the exam will account for 80% of the final grade, and each written assignment will account for 10%.
Students who choose the single-assessment mode may still pass or improve their final grade via the same recovery exam used in the continuous assessment (the two exams will be identical and held on the same day, time, and place). However, attending the final exam is a prerequisite for accessing the recovery exam, and students must have obtained a grade >3/10. Only the exam component can be retaken; the assignment grades cannot be improved.
Basic Biliografy:
Basic more advanced bibliography:
There are not.
Please note that this information is provisional until 30 November 2025. You can check it through this link. To consult the language you will need to enter the CODE of the subject.
Name | Group | Language | Semester | Turn |
---|---|---|---|---|
(PAUL) Classroom practices | 1 | Catalan | second semester | morning-mixed |
(PAUL) Classroom practices | 2 | Catalan | second semester | morning-mixed |
(SEM) Seminars | 11 | Catalan | second semester | morning-mixed |
(SEM) Seminars | 12 | Catalan | second semester | morning-mixed |
(TE) Theory | 1 | Catalan | second semester | morning-mixed |
(TE) Theory | 2 | Catalan | second semester | morning-mixed |