To achieve the learning objectives is necessary knowledge and skills that are supposed to be guaranteed in the training prior to entering the university. In particular, basic knowledge of geometry, algebra and trigonometry, elementary mathematical operations (powers, logarithms, exponentials, fractions, ...), basic knowledge of derivation and integration of real functions of a real variable, and fundamentals of graphical representation of functions.
As in any scientific discipline, in Chemistry, Mathematics is an indispensable tool for the understanding and development of any of its branches. Mathematics is the foundation and origin of modern theories of atomic and molecular structure, they allow to deal with problems of thermochemistry and kinetics with simplicity and elegance, they are present in the approach and development of all experimental chemical, academic and professional activities. The mathematical concepts studied in the Mathematics course provide an essential tool and constitute a precise language that is used by most of the basic subjects. The subject of Mathematics helps to enhance the abstraction, rigor, analysis and synthesis capacities necessary for any other scientific discipline.
Course competences | |
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Code | Description |
CB01 | Prove that they have acquired and understood knowledge in a subject area that derives from general secondary education and is appropriate to a level based on advanced course books, and includes updated and cutting-edge aspects of their field of knowledge. |
E17 | Develop the ability to relate to each other the different specialties of Chemistry, as well as this one with other disciplines (interdisciplinary character) |
G01 | Know the principles and theories of Chemistry, as well as the methodologies and applications characteristic of analytical chemistry, physical chemistry, inorganic chemistry and organic chemistry, understanding the physical and mathematical bases that require |
T02 | Domain of Information and Communication Technologies (ICT) |
T03 | Proper oral and written communication |
T05 | Organization and planning capacity |
T07 | Ability to work as a team and, where appropriate, exercise leadership functions, fostering the entrepreneurial character |
T08 | Skills in interpersonal relationships |
Course learning outcomes | |
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Description | |
Know the matrix theory and know how to carry out the corresponding calculations. | |
Get used to teamwork, express yourself orally and in writing, and behave respectfully. | |
Knowing how to derive, integrate and represent functions of one and several variables, as well as the meaning and applications of the derivative and the integral. | |
Know how to model chemical processes through differential equations, solve them and interpret results. | |
Know how to use the language of Mathematics. | |
Additional outcomes | |
Not established. |
The contents are divided into 3 parts:
I. Linear Algebra (Unit 1 to Unit 5)
II. Integral and Differential Calculus (Unit 6 to Unit 8)
III. Ordinary Differential Equations (Unit 9 and Unit 10).
Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
Class Attendance (theory) [ON-SITE] | Lectures | CB01 E17 G01 | 2.68 | 67 | N | N | ||
Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CB01 E17 G01 | 0.88 | 22 | N | N | ||
Computer room practice [ON-SITE] | Practical or hands-on activities | CB01 E17 G01 T02 | 0.44 | 11 | Y | Y | ||
Progress test [ON-SITE] | Assessment tests | CB01 E17 G01 | 0.08 | 2 | Y | N | ||
Progress test [ON-SITE] | Assessment tests | CB01 E17 G01 | 0.16 | 4 | Y | Y | ||
Final test [ON-SITE] | Assessment tests | CB01 E17 G01 | 0.08 | 2 | Y | Y | ||
Study and Exam Preparation [OFF-SITE] | Self-study | T03 T05 T07 T08 | 7.68 | 192 | N | N | ||
Total: | 12 | 300 | ||||||
Total credits of in-class work: 4.32 | Total class time hours: 108 | |||||||
Total credits of out of class work: 7.68 | Total hours of out of class work: 192 |
As: Assessable training activity
Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
Progress Tests | 20.00% | 0.00% | Two progress test: one in the first semester and other one in the second semester. |
Test | 70.00% | 90.00% | One test each semester. |
Assessment of activities done in the computer labs | 10.00% | 10.00% | Test using the software MATLAB. |
Total: | 100.00% | 100.00% |
Not related to the syllabus/contents | |
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Hours | hours |
Progress test [PRESENCIAL][Assessment tests] | 2 |
Progress test [PRESENCIAL][Assessment tests] | 4 |
Final test [PRESENCIAL][Assessment tests] | 2 |
Unit 1 (de 10): Linear Algebra | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 3 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 10 |
Unit 2 (de 10): Vector Spaces | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 11 |
Unit 3 (de 10): Euclidean vector spaces | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 4 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 3 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 10 |
Unit 4 (de 10): Linear transformations | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 3 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 11 |
Unit 5 (de 10): Eigenvalues and eigenvectors | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 4 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 1 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 1 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 11 |
Unit 6 (de 10): One variable Integral and differential calculus | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 10 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 3 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 28 |
Unit 7 (de 10): Multivariable differential calculus | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 10 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 28 |
Unit 8 (de 10): Multiple integrals | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 9 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 1 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 28 |
Unit 9 (de 10): Ordinary differential equations | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 8 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 1 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 28 |
Unit 10 (de 10): Systems of Ordinary differential equations | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 11 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 3 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 27 |
Global activity | |
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Activities | hours |