| Competences |
| Type A | Code | Competences Specific |
| A1 | Apply basic knowledge of mathematics and physics at the molecular biosciences | |
| Type B | Code | Competences Transversal |
| Type C | Code | Competences Nuclear |
| Learning outcomes |
| Type A | Code | Learning outcomes |
| A1 |
Acquire the techniques needed to operate with differential equations. Acquire the techniques needed to operate with linear applications, matrices and vectors. Acquire the techniques needed to operate with vectors. Acquire the techniques needed for calculating extremes. Apply the concept and techniques of integral calculation to specific cases. Apply the techniques of matrix calculus to specific problems. Understand the concept of differential equations. Know the theoretical model of vector space. Understand the basic properties of the functions of one and several variables. Know the theoretical concepts of linear application, matrix and own spaces. | |
| Type B | Code | Learning outcomes |
| Type C | Code | Learning outcomes |
| Contents |
| Topic | Sub-topic |
| Matrix and functions | Matrix calculations and systems of equations. Functions of several variables, examples and graphic representation. |
| Functions of several variables | Continuity, partial derivatives, differentiability and calculation of extremes. Multiple integration. Concept, calculation techniques and uses. |
| Vector spaces and linear applications | Vector spaces and linear applications concepts and basics properties. Diagonalization of endomorphisms and scalar product. |
| Differential equations | Concepts, resolution techniques and applications to scientific problems. |
| Planning |
| Methodologies :: Tests | ||||||||||
| Competences | (*) Class hours |
Hours outside the classroom |
(**) Total hours | |||||||
| Introductory activities |
|
5 | 5 | 10 | ||||||
| Lecture |
|
60 | 50 | 110 | ||||||
| Problem solving, exercises in the classroom |
|
30 | 52 | 82 | ||||||
| Personal attention |
|
9 | 0 | 9 | ||||||
| Extended-answer tests |
|
2 | 5 | 7 | ||||||
| Extended-answer tests |
|
2 | 5 | 7 | ||||||
| (*) On e-learning, hours of virtual attendance of the teacher. (**) The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||||||||
| Methodologies |
| Description | |
| Introductory activities | Activities designed to make contact with students, collect information from them and introduce the subject. |
| Lecture | Description of the contents of the subject. |
| Problem solving, exercises in the classroom | Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject |
| Personal attention |
| Personalized attention |
| Description |
| Attention to the students during the office hours will be at the teacher’s office. Answer of doubts through ‘’Moddle’’. |
| Assessment |
| Methodologies | Competences | Description | Weight | ||||
| Extended-answer tests |
|
First test. Solving problems individually. Evaluation of the first part of the contents of the course. | 50% | ||||
| Extended-answer tests |
|
Second test. Solving problems individually. Evaluation of all the contents of the course. |
50% | ||||
| Others |
| Other comments and second exam session | |||
|
The 2nd call consists of a single test. Solving problems individually. Evaluation of all the contents of the course. During evaluation tests, the mobile phones, tablets and another devices not expressly authorized by the test must be switched off and out of sight. The demonstration of the fraudulent conduct of some evaluative activity of a subject in both material and virtual or electronic support leads to the students' fail of this evaluation activity. Regardless of this, in view of the seriousness of the facts, the centre may propose the initiation of a disciplinary file, which will be initiated by resolution of the rector |
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| Sources of information |
| Basic |
J. Rogawski, cálculo, Ed. Reverté, 2012
S. Salas, G. Etgen, E. Hille, calculus: una y varias variables, Ed. Reverté, 2002 |
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| Complementary |
H. Anton, Introducción al algebra Lineal, Limusa, 1983 |
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| Recommendations |
(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.