Functions of a Real Variable II
Code: 107841 ECTS Credits: 62025/2026
| Degree | Type | Year |
|---|---|---|
| Mathematics | FB | 1 |
Contact
- Name:
- Juan Jesús Donaire Benito
- Email:
- juanjesus.donaire@uab.cat
Teachers
- Joan Josep Carmona Domènech
- Arturo Nicolau Nos
- Joaquín Martín Pedret
- Joan Hernandez Garcia
Teaching groups languages
You can view this information at the end of this document.
Prerequisites
See the catalan version
Objectives and Contextualisation
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Learning Outcomes
- CM01 (Competence) Write elementary proofs in the field of algebra and analysis in an orderly and precise manner.
- CM02 (Competence) Develop autonomous strategies for solving basic mathematical problems.
- KM01 (Knowledge) Identify the basics of linear algebra and single-variable analysis.
- KM02 (Knowledge) Identify the rules of differentiation and integration of functions, as well as the basic results of the differential calculus in one real variable.
- KM03 (Knowledge) Relate the visual properties of a function graph in a real variable to its analytical properties.
- SM01 (Skill) Apply the rules of algebra and single-variable analysis to the classification of applications according to various criteria (rank, determinant, Jordan forms, existence of maxima and minima, asymptotes).
- SM02 (Skill) Apply the basics of linear algebra and analysis to a variable to solve mathematical problems.
- SM03 (Skill) Relate the concepts of linear algebra to those of single-variable analysis (linearity of differential and integral operators or continuity of matrix operations, etc.).
Content
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Activities and Methodology
| Title | Hours | ECTS | Learning Outcomes |
|---|---|---|---|
| Type: Directed | |||
| Avaluation | 10 | 0.4 | |
| In-person sessions | 50 | 2 | CM01, CM02, KM01, KM02, KM03, SM01, SM02, SM03, CM01 |
| Type: Supervised | |||
| Tutoring | 10 | 0.4 | |
| Type: Autonomous | |||
| Personal work | 70 | 2.8 | CM01, CM02, KM01, KM02, KM03, SM01, SM02, SM03, CM01 |
See the catalan version
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.
Assessment
Continous Assessment Activities
| Title | Weighting | Hours | ECTS | Learning Outcomes |
|---|---|---|---|---|
| First exam | 35 | 3 | 0.12 | CM02, KM02, KM03 |
| June exam | 45 | 4 | 0.16 | CM01, CM02, KM01, KM02, KM03, SM01, SM02, SM03 |
| Seminars | 20 | 3 | 0.12 | CM01, CM02, KM01, KM02, KM03, SM01, SM02, SM03 |
See the catalan version
Bibliography
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Software
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Groups and Languages
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 | 1 | Catalan | second semester | morning-mixed |
| (SEM) Seminars | 2 | Catalan | second semester | morning-mixed |
| (SEM) Seminars | 3 | Catalan | second semester | morning-mixed |
| (SEM) Seminars | 4 | Catalan | second semester | morning-mixed |
| (TE) Theory | 1 | Catalan | second semester | morning-mixed |
| (TE) Theory | 2 | Catalan | second semester | morning-mixed |