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Mathematics

Code: 106040 ECTS Credits: 9
2024/2025
Degree Type Year
2500897 Chemical Engineering FB 1

Contact

Name:
Laura Prat Baiget
Email:
laura.prat@uab.cat

Teaching groups languages

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


Prerequisites

None.

A good knowledge of mathematics (secondary school level) is assumed. 


Objectives and Contextualisation

1. Be able to fluently use the language of Infinitesimal Calculus and basic Algebra, mainly linear.
										
											
										
											2. Achieve theoretical knowledge of Calculus and Algebra, and the most immediate geometric implications.
										
											
										
											3. Know how to apply Calculus methods to Science and Technology problems, emphasizing equations and their resolution.

Competences

  • Apply relevant knowledge of the basic sciences, such as mathematics, chemistry, physics and biology, and the principles of economics, biochemistry, statistics and material science, to comprehend, describe and resolve typical chemical engineering problems.
  • Demonstrate basic knowledge of the use and programming of computers, and apply the applicable IT resources to chemical engineering.
  • Develop personal work habits.
  • Develop thinking habits.
  • Students must be capable of applying their knowledge to their work or vocation in a professional way and they should have building arguments and problem resolution skills within their area of study.
  • Students must have and understand knowledge of an area of study built on the basis of general secondary education, and while it relies on some advanced textbooks it also includes some aspects coming from the forefront of its field of study.
  • Work in a team.

Learning Outcomes

  1. Apply the basic concepts of algebra to problem solving.
  2. Apply the methods and basic concepts of differential and integral calculus of a variable to the description and calculation of magnitudes.
  3. Apply the methods for solving differential equations to the analysis of deterministic phenomena.
  4. Develop critical thinking and reasoning
  5. Develop scientific thinking.
  6. Identify, describe and apply basic mathematical and statistical concepts.
  7. Make one's own decisions.
  8. Students must have and understand knowledge of an area of study built on the basis of general secondary education, and while it relies on some advanced textbooks it also includes some aspects coming from the forefront of its field of study.
  9. Use specific software to resolve mathematical or statistical problems in engineering.
  10. Work cooperatively.

Content

1- Real numbers.

2- Functions of one real variable. Graphs. Limits and continuity.

3- Polinomic equations. The complex numbers.

4- Derivatives and their properties. Optimitzation. Taylor's formula. Applications.

5- Integration. Primitives. Basic differential relations (Equations). Parametric integrals. Applications.

6- The R^n space. Linear transformations and simetries. Matrices. Determinants.  Matrius. Determinants. Systems of linear equations. Applications. 

7- Vector spaces. 

8- Matrix diagonalization. Applications. 


Activities and Methodology

Title Hours ECTS Learning Outcomes
Type: Directed      
Problems session 23 0.92 4, 5, 7, 8
Theoretical sessions 45 1.8 4, 5, 6, 8
Type: Supervised      
Seminars 8 0.32 1, 6, 7, 10
Type: Autonomous      
Preparation of the evaluations 27 1.08 4, 5, 7, 10
Solving the proposed problems 45 1.8 1, 4, 5, 6
Study of theoretical concepts 68 2.72 1, 4, 5, 6 

Theory classes. The scientific and technical knowledge of the subject will be presented in these classes.
										
											
										
											Practical classes (of problems). The scientific and technical knowledge presented in the theory classes will be worked on to complete their understanding and deepen the concepts worked on.
										
											
										
											Seminars. Students must work independently in the classroom, in groups and assisted by the teacher when necessary.
										
											
										
											The course will have a space in the Moodle Classroom, within the platform of the UAB Virtual Campus, where students can find all the course material.

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 Parcial Exam P1 40% 3 0.12 2, 3, 4, 6, 7, 8
Second Partial Exam P2 40% 3 0.12 1, 5, 6, 7, 8
Seminar exams S 20% 3 0.12 4, 6, 8, 9, 10

You get your current qualification from fórmula: Q=0,2·S+ 0,40·(P1+P2).

If Q is bigger or equal than 5, you succeeded. Otherwise, you have the possibility of a second try consisting in a global exam where you will obtain a qualification R. The final qualification is given by the formula Q'=0,2·S+ max{0,40·(P1+P2), 0,8 R}.

 


Bibliography

See the CATALAN version


Software

No software used.


Language list

Name Group Language Semester Turn
(PAUL) Classroom practices 211 Catalan annual morning-mixed
(PAUL) Classroom practices 212 Catalan annual morning-mixed
(SEM) Seminars 211 Catalan annual morning-mixed
(SEM) Seminars 212 Catalan annual morning-mixed
(TE) Theory 21 Catalan annual morning-mixed