| Castellano |
| Tribunal titular | ||
|---|---|---|
| Cargo | Departamento | Profesor |
| Tribunal suplente | |||
|---|---|---|---|
| Cargo | Departamento | Profesor | |
|
Educational guide | |||||||||||||||||||||
| IDENTIFYING DATA | 2023_24 | |||||||||||||||||||||
| Subject | COMPLEX VARIABLES | Code | 00712017 | |||||||||||||||||||
| Study programme | ||||||||||||||||||||||
| Descriptors | Credit. | Type | Year | Period | ||||||||||||||||||
| 6 | Compulsory | Second | ||||||||||||||||||||
| Language |
|
|||||||||||||||||||||
| Prerequisites | ||||||||||||||||||||||
| Department | ||||||||||||||||||||||
| Coordinador | ||||||||||||||||||||||
| Lecturers | |
|||||||||||||||||||||
| Web | http:// | |||||||||||||||||||||
| General description | ||||||||||||||||||||||
| Tribunales de Revisión |
|
|||||||||||||||||||||
| Competencias |
| Code | |
| C1 | CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study |
| C4 | CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience |
| Learning aims |
| Competences | |||
| A17532 A17533 |
B5427 B5428 B5430 |
C1 C4 |
|
| A17532 A17533 |
B5427 B5428 B5430 |
C1 C4 |
|
| Contents |
| Topic | Sub-topic |
| Complex Variables | - Complex Numbers and complex functions. - Analytic functions. - Integrals. - Singularities. Residues and poles. |
| Transforms | - Laplace Transform. Z Transform. - Fourier Series and the Fourier Transform. |
| Planning |
| Methodologies :: Tests | |||||||||
| Class hours | Hours outside the classroom | Total hours | |||||||
| Problem solving, classroom exercises | 26 | 37 | 63 | ||||||
| Tutorship of group | 2 | 0 | 2 | ||||||
| Lecture | 26 | 37 | 63 | ||||||
| Extended-answer tests | 6 | 16 | 22 | ||||||
| (*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | |||||||||
| Methodologies |
| Description | |
| Problem solving, classroom exercises | |
| Tutorship of group | |
| Lecture |
| Personalized attention |
|
|
| Assessment |
| Description | Qualification | ||
| Problem solving, classroom exercises | Several problems similar to those solved in class will be proposed to the students. | 10% | |
| Extended-answer tests | During the semester there will be at least two Individual In-person Writen Test. | 80% | |
| Others | During the semester, different tasks and exercises will be proposed. A máximum of 10% of the marks can be obtained doing all these tasks. | <=10% | |
| Other comments and second call | |||
| Sources of information |
| Access to Recommended Bibliography in the Catalog ULE |
| Basic |
D. Alpay, A Complex Analysis Problem Book , Birkhäuser,
D. G. Zill, P. D. Shanahan, A First Course in Complex Analysis with Applications, Jones &amp;amp; Bartlett,
J. E. Marsden, M. J. Hoffman., Análisis Básico de Variable Compleja, Trillas,
J. E. Marsden, M. J. Hoffman., Basic Complex Analysis, W. H. Freeman,
Churchill R.V., Brown J.W. , Complex Variables and Applications, McGraw-Hill,
A. D. Wunsch., Complex Variables with Applications, Pearson,
S. Ponnusamy, H. Silverman, Complex Variables with Applications, Birkhäuser,
G. Bachmann, L. Narici, E. Beckenstein., Fourier and Wavelet Analysis, Springer,
J. B. Conway, Functions of one complex variable, Springer-Verlag,
F. Galindo, J.Gómez, J.Sanz, L.A. Tristán, Guía práctica de Variable Compleja y aplicaciones, Ed. Univ. Valladolid y Univ. León, 2019
J. San Martín, V. Tomeo, I. Uña, Métodos Matemáticos, Paraninfo, 2015
L. Volkovyski, G. Lunts, I. Aramanovich, Problemas sobre la Teoría de Variable Compleja, MIR,
M. R. Spiegel, Variable compleja, Schaum,
R. V. Churchill, J. W. Brown., Variable Compleja y Aplicaciones, McGraw-Hill, |
| Complementary | |
| Recommendations |
| Subjects that it is recommended to have taken before | |||||
|
|||||