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Calculus

Code: 106802 ECTS Credits: 6
2025/2026
Degree Type Year
Nanoscience and Nanotechnology FB 1

Contact

Name:
Joan Orobitg Huguet
Email:
joan.orobitg@uab.cat

Teaching groups languages

You can view this information at the end of this document.


Prerequisites

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Objectives and Contextualisation

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Learning Outcomes

  1. CM06 (Competence) Identify the mathematical nature of certain physical and chemical phenomena, in order to abstract the essential variables that describe them.
  2. CM07 (Competence) Solve real-world problems that occur in the field of science and technology using mathematical tools and methods.
  3. KM09 (Knowledge) Understand the idea behind numerical methods: precision, discretisation, numerical error, conditioning, standardisation.
  4. SM09 (Skill) Express oneself clearly using basic mathematical language.
  5. SM10 (Skill) Solve simple problems related to matrix calculus, linear equations and first order differential equations.
  6. SM12 (Skill) Use graphical and numerical methods to explore, describe and interpret data.

Content

Traducció des de Google.

 

1. Review of basic concepts of differential and integral calculus in one variable. 
2. Notion of ordinary differential equation, separate variables.
3. Taylor's formula in one variable.
4. Numerical series, power series and improper integrals.
5. Differential calculation in several variables.
6. Integral calculation in several variables.

 

 

 

 


Activities and Methodology

Title Hours ECTS Learning Outcomes
Type: Directed      
Exercises classes 10 0.4 CM06, CM07, KM09, SM09, SM10, SM12, CM06
Practice classes 6 0.24 CM06, CM07, KM09, SM09, SM10, SM12, CM06
Theory classes 36 1.44 CM06, CM07, KM09, SM09, SM10, SM12, CM06
Type: Supervised      
Delivery of practices 6 0.24 CM06, CM07, KM09, SM09, SM10, SM12, CM06
Type: Autonomous      
Theory study and problem solving 84 3.36 CM06, CM07, KM09, SM09, SM10, SM12, CM06

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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
Delivery of practices 20% 1 0.04 CM06, CM07, KM09, SM09, SM10, SM12
Final exam 80% 3 0.12 CM06, CM07, KM09, SM09, SM10, SM12
Mid term exam 40% 2 0.08 CM06, CM07, KM09, SM09, SM10
Mid term exam 40% 2 0.08 CM06, CM07, KM09, SM09, SM10, SM12

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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 first semester afternoon
(PAUL) Classroom practices 2 Catalan first semester afternoon
(PLAB) Practical laboratories 1 Catalan first semester morning-mixed
(PLAB) Practical laboratories 2 Catalan first semester morning-mixed
(PLAB) Practical laboratories 3 Catalan first semester morning-mixed
(PLAB) Practical laboratories 4 Catalan first semester morning-mixed
(TE) Theory 1 Catalan first semester afternoon