ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Hours of tutorials: 2 Expository Class: 28 Interactive Classroom: 28 Total: 58
Use languages Spanish, Galician
Type: Ordinary Degree Subject RD 1393/2007 - 822/2021
Departments: Applied Mathematics
Areas: Applied Mathematics
Center Faculty of Mathematics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
- Introduction to the knowledge and handling of basic concepts and techniques of Numerical Calculus.
- To know and apply the basic algorithms of Numerical Calculus for functions of one variable for computing the polynomial interpolant of a function, approximating the derivatives of a function at a point, approximating the value of a definite integral and studying the existence and approximation of the roots of a nonlinear equation.
- To practice computer programming by implementing the algorithms studied in MATLAB.
T1. Introduction to Numerical Analysis. Floating point systems. Errors in numerical calculus. Order of a numerical method. (Theory: approximately 3 hours)
T2. Approximation of roots of a numerical equation: dichotomy algorithms, functional iteration and Newton-Raphson. (Theory: approximately 9 hours)
T3. Lagrange polynomial interpolation. Introduction to other types of interpolation. (Theory: approximately 8 hours)
T4. Introduction to numerical derivation. Introduction to numerical integration: simple and compound trapezoid and Simpson rules. (Theory: approximately 8 hours)
Basic bibliography:
- A. QUARTERONI, F. SALERI. Cálculo científico con Matlab y Octave. Springer-Verlag Italia, Milano, 2006. Available on: https://link-springer-com.ezbusc.usc.gal/book/10.1007/978-88-470-0504-4
- J. M. VIAÑO. Lecciones de métodos numéricos 1.- Introducción general y análisis de errores. Tórculo edicións, 1995.
- J. M. VIAÑO. Lecciones de métodos numéricos 2.- Resolución de ecuaciones numéricas. Tórculo edicións, 1997.
- J. M. VIAÑO, M. BURGUERA. Lecciones de métodos numéricos 3.- Interpolación. Tórculo edicións, 2000.
Complementary bibliography:
- R. L. BURDEN, J. D. FAIRES. Numerical Analysis (7th edition). Brooks/Cole Thomson Learning, cop. 2001.
- E. ISAACSON, H. B. KELLER. Analysis of Numerical Methods. John Wiley, 1994.
- D. KINCAID, E. W. CHENEY. Análisis Numérico: las Matemáticas del Cálculo Científico. Addison-Wesley Iberoamericana, 1991.
Knowledge: Con01, Con02, Con03, Con04, Con05.
Skills: H/D01, H/D02, H/D03, H/D04, H/D05, H/D06, H/D07, H/D08, H/D09.
Competences: Comp01, Comp02, Comp03, Comp04.
- In the lectures the subject will be explained with the support of the slides available in the virtual course.
- In the virtual course, students will have a collection of problems and practice scripts to work in computer classes.
- In the computer practices, MATLAB will be used.
- In the virtual course, students will have access to all the material, as well as a news forum and an email query service.
First assessment opportunity:
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The continuous assessment (AC) consists of the following parts:
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(AEC) A written test in the class and during the lectures with support material. This test covers the contents of T2 and represents 40% of the AC.
(APC) A test in the computer room during the interactive class with support material. The contents will be explained sufficiently in advance, depending on the set date. This test will validate the skills and competencies related to programming algorithms and numerical methods, considering:
a) Knowledge of numerical methods and their properties: 20% of the AC.
b) Programming with MATLAB of the numerical methods studied: 40% of the AC.
AC=AEC+APC
The final assessment (AF) consists of the following parts:
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(APF) A test in the computer room, in the last weeks of class, on dates agreed with the course coordination team. The contents will be explained sufficiently in advance, depending on the set date. This test will validate the skills and competencies related to programming algorithms and numerical methods and represents 35% of the AF.
(AEF) A test held on the date assigned by the Faculty of Mathematics for the final exam of the subject, evaluating:
a) The resolution of theoretical questions, which represents 30% of the AF.
b) The resolution of problems/exercises, which represents 35% of the AF.
AF=APF+AEF
The evaluation of the subject (AM) is the maximum of the AF and the weighted average MP=0.3*AC+0.7*AF, that is:
AM=max(AF,0.3*AC+0.7*AF)
Second assessment opportunity:
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The AC grade is maintained for the second evaluation opportunity. Likewise, if APF>=5 or AEF>=5, these parts do not need to be repeated in the second evaluation.. If the student decides to repeat them, the grade for these parts will be the one obtained in the second opportunity. In the second opportunity, the test in the computer room (APF) will be held on the same day that the Faculty of Mathematics assigns for the final exam.
In the second opportunity, the same weighted average and the same maximum criterion as in the first opportunity are applied:
AM=max(AF,0.3*AC+0.7*AF)
Theoretical teaching: 28 hours on-site class
Interactive teaching in the computer room: 28 hours on-site class
Small group tutorials: 2 hours on-site class
Student personal work hours: 92
Total: 150 hours = 6 ECTS
- To attend class.
- Dedicate regular study time throughout the course to the subject.
- To solve the problem worksheets.
- To start carrying out programming practices from the first session.
Patricia Barral Rodiño
- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813213
- patricia.barral [at] usc.es
- Category
- Professor: University Lecturer
Maria Del Pilar Salgado Rodriguez
- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813198
- mpilar.salgado [at] usc.es
- Category
- Professor: University Lecturer
Maria Elena Vazquez Cendon
Coordinador/a- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813196
- elena.vazquez.cendon [at] usc.es
- Category
- Professor: University Professor
| Tuesday | |||
|---|---|---|---|
| 09:00-10:00 | Grupo /CLIL_03 | Galician | Computer room 2 |
| 09:00-10:00 | Grupo /CLIL_06 | - | Computer room 3 |
| 10:00-11:00 | Grupo /CLIL_03 | Galician | Computer room 2 |
| 10:00-11:00 | Grupo /CLIL_06 | - | Computer room 3 |
| 12:00-13:00 | Grupo /CLIL_02 | Galician | Computer room 2 |
| 12:00-13:00 | Grupo /CLIL_05 | Spanish | Computer room 3 |
| 13:00-14:00 | Grupo /CLIL_02 | Galician | Computer room 2 |
| 13:00-14:00 | Grupo /CLIL_05 | Spanish | Computer room 3 |
| Wednesday | |||
| 10:00-11:00 | Grupo /CLIL_04 | Spanish | Computer room 4 |
| 11:00-12:00 | Grupo /CLIL_04 | Spanish | Computer room 4 |
| 13:00-14:00 | Grupo /CLE_01 | Galician | Classroom 02 |
| Thursday | |||
| 09:00-10:00 | Grupo /CLE_02 | Spanish | Classroom 06 |
| 13:00-14:00 | Grupo /CLE_01 | Galician | Classroom 02 |
| 05.28.2026 10:00-14:00 | Grupo /CLE_01 | Classroom 06 |
| 07.06.2026 10:00-14:00 | Grupo /CLE_01 | Classroom 06 |
| 07.06.2026 16:00-20:00 | Grupo /CLE_01 | Classroom 06 |
| 07.06.2026 16:00-20:00 | Grupo /CLE_01 | Computer room 2 |