ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 99 Hours of tutorials: 3 Expository Class: 24 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary Degree Subject RD 1393/2007 - 822/2021
Departments: Mathematics
Areas: Algebra, Geometry and Topology
Center Faculty of Biology
Call: First Semester
Teaching: Sin docencia (Extinguida)
Enrolment: No Matriculable | 1st year (Yes)
In this subject, the student will learn the basic concepts and techniques of linear algebra, with an instrumental orientation towards the degree of Biotechnology. There will be a brief review of the operations with matrices and a reminder of the properties of determinants that the students already know in secondary school. We will also make a rapid incursion in the resolution of Systems of Linear Equations, as a natural continuation of the knowledge already acquired by the student in the subjects of secondary school. This approach will allow us to address the diagonalization and triangulation of matrices that will be illustrated with some example of the field of the degree.
The concepts of derivatives and definite and indefinite integrals of a real function of real variable, as well as the usual calculation procedures, will also be recalled. Then the foundations of differential equations will be introduced, as well as the basic procedures to find or study their solutions. All of this will be applied to solve specific problems related to Biotechnology, and it will be extended to several variables to finish.
Lesson 1. Matrices and determinants. (1 week)
Lesson 2. Systems of linear equations. (1 week)
Lesson 3. Diagonalization and triangulation. (2 weeks)
Lesson 4. Derivative of a real function. Higher order derivatives. (1 week)
Lesson 5. Calculus of primitives of a real function of real variable. (2 weeks)
Lesson 6. The definite integral: Barrow's Rule. (2 weeks)
Lesson 7. Differential equations. Integration of differential equations. Applications. (3 weeks)
Lesson 8. Partial derivatives. (1 week)
Lesson 9. Multiple integration. (1 week)
BASIC BIBLIOGRAPHY:
- BATSCHELET, E. Matemáticas básicas para biocientíficos. Dossat, Madrid, 1978.
- HADELER, K.P. Matemáticas para Biólogos. Reverté, Barcelona, 1982.
- MARTINEZ CALVO, M.C. y PEREZ DE VARGAS, A. Métodos matemáticos en Biología. Centro de Estudios Ramón Areces, Madrid, 1993.
- MARTINEZ CALVO, M.C. y PEREZ DE VARGAS, A. Problemas de Biomatemática. Centro de Estudios Ramón Areces, Madrid, 1995.
COMPLEMENTARY BIBLIOGRAPHY:
- GROSSMAN, S.I. y TURNER, J.E. Mathematics for the Biological Sciences. Macmillan, Londres, 1974.
- VALDERRAMA BONNET, M.J. Modelos Matemáticos en las Ciencias Experimentales. Pirámide, Madrid, 1995.
- VALDERRAMA BONNET, M.J. Métodos Matemáticos Aplicados a las Ciencias Experimentales. Pirámide, Madrid, 1989.
BASIC AND GENERAL:
CG2 - Applying the theoretical-practical knowledge acquired in the approach of problems and the search of their solutions both in academic and professional contexts.
CG3 - Knowing how to obtain and interpret relevant information and results and obtain conclusions on topics related to Biotechnology.
CG4 - Being able to transmit information both in writing and orally and to discuss ideas, problems and solutions related to Biotechnology, to a general or specialized public.
CG5 - Studying and learning autonomously, with organization of time and resources, new knowledge and techniques in Biotechnology and acquiring the ability to work as a team.
CB2 - Knowing how to apply their knowledge to their work or vocation in a professional manner and having the skills that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study
CB3 - Having the ability to gather and interpret relevant data (usually within their area of study) to make judgments that include a reflection on relevant issues of social, scientific or ethical nature
CB4 - Being able to transmit information, ideas, problems and solutions to a specialized and non-specialized public
CB5 - Developing the learning skills necessary to undertake further studies with a high degree of autonomy
TRANSVERSAL
CT1 - Thinking in an integrated manner and approach problems from different perspectives.
CT3 - Organizing and planning their work.
CT6 - Critical reasoning
SPECIFIC
CE1 - Knowing how to make calculations, analyze data and interpret experimental results from the fields of Biotechnology.
Scenario 1.
- The presentation lectures will consist basically of teaching given by the professor, dedicated to the exhibition of the theoretical contents and the resolution of problems or exercises. Class attendance is essential to understand the subject.
- The Seminars in small groups will allow, in some cases, the acquisition of practical skills and, in others, they will serve for the immediate illustration of the theoretical-practical contents. The active participation of students is mandatory.
- The (individual or group) tutorials are used to clarify doubts, to provide information or to guide the students, as well as to know the progress in the acquisition of skills.
- Exercises and problems will be proposed to students previously to be solved. The students must learn how to write the correct solution of the exercise emphasizing the essential or theoretical ideas that are applied.
Scenario 2.
Depending on the type of attendance restrictions determined by the Faculty and whenever the USC provides the necessary means to do so, classes that cannot be taught in person will be taught virtually. It will be done through institutional means (Virtual Campus, Teams, email), mainly synchronously, although subject to what the Faculty determines.
Scenario 3.
If the USC provides the necessary means to do so, the classes of scenario 1 will be taught virtually through institutional means (Virtual Campus, Teams, email), preferably synchronously, although subject to what the Faculty determines.
Scenario 1.
The evaluation system is oriented to the evaluation of the competences foreseen in the verification memory.
Throughout the course, the students will be required to solve the exercises corresponding to every chapter, to attend the classes, and to participate actively in the seminars.
In addition, written theoretical-practical tests may be done throughout the semester. The joint score of these activities (C) will represent 25% of the final grade.
The 75% remaining score will be provided by the final exam (E). This exam will be written and will contain questions of theory, theoretical-practical questions and exercises. To pass the subject, students must obtain at least 40% of the score from this exam.
Repetitive students will have the same evaluation system as students enrolled for the first time.
Scenarios 2 and 3.
In Scenario 3, and possibly also in Scenario 2, both the continuous assessment and the final exam will be virtual. Exercises and questions will be proposed in the continuous evaluation. The delivery times of the solutions will vary according to the difficulty, from immediate delivery to one week. In these scenarios, the final grade will be the sum of 50% of the continuous assessment grade with 50% of the final exam grade.
For all three scenarios, the same evaluation conditions and the continuous evaluation grade of the first opportunity will be maintained in the second opportunity.
In cases of fraudulent performance of exercises or tests, the provisions of the Regulations for the evaluation of the academic performance of students and the review of grades will apply.
In addition to the lectures and seminars and the individual or small group tutorials, the student must dedicate 90 hours of personal work to the study of theory and to solve exercises.
Continued attendance to the classes.
Working individually or collectively every issue indicated in the classes.
Taking advantage of tutorials as soon as difficulties arise.
Contingency plan
The main changes in scenarios 2 and 3 are:
- Teaching will be taught virtually through institutional means (Virtual Campus, Teams, email), preferably synchronously, although subject to what the Faculty determines
- The continuous evaluation and the final test become virtual, through the previous means.
- The final mark will be the sum of 50% of the mark of the continuous evaluation with 50% of the mark of the final exam.
Due to the situation derived from the COVID-19 pandemic, the teaching schedule may vary and will be adapted according to the different scenarios.
Jesús Antonio Álvarez López
Coordinador/a- Department
- Mathematics
- Area
- Geometry and Topology
- Phone
- 881813149
- jesus.alvarez [at] usc.es
- Category
- Professor: University Professor
Celso Rodriguez Fernandez
- Department
- Mathematics
- Area
- Algebra
- Phone
- 881813161
- celso.rodriguez [at] usc.es
- Category
- Professor: University Lecturer
| Monday | |||
|---|---|---|---|
| 09:00-10:00 | Grupo /CLE_01 | Galician | Virtual classroom |
| Tuesday | |||
| 09:00-10:00 | Grupo /CLE_01 | Galician | Virtual classroom |
| 01.11.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 05 (video-conference). Rita Levi Montalcini |
| 01.11.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 06. Diane Fosey and Jane Goodall |
| 01.11.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 07. Konrad Lorenz |
| 06.21.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 01. Charles Darwin |