Educational guide
IDENTIFYING DATA							2023_24
Subject	MATHEMATICAL METHODS IN ENGINEERING					Code	00707012
Study programme	0707 - G.INGENIERÍA ELECT. INDUSTRIAL Y AUTOMÁTICA
Descriptors	Credit.	Type	Year	Period
	6	Basic Training	Second	First
Language	Ingles Otros
Prerequisites
Department	MATEMATICAS
Coordinador	RODRÍGUEZ SÁNCHEZ , MARIA CRISTINA				E-mail	mcrods@unileon.es agrab@unileon.es
Lecturers	GRANJA BARÓN , ÁNGEL RODRÍGUEZ SÁNCHEZ , MARIA CRISTINA
Web	http://
General description
Tribunales de Revisión	Tribunal titular Cargo Departamento Profesor Presidente MATEMATICAS FRANCISCO IRIBARREN , ARACELI DE Secretario MATEMATICAS SAEZ SCHWEDT , ANDRES Vocal MATEMATICAS CASTRO GARCIA , NOEMI DE Tribunal suplente Cargo Departamento Profesor Presidente MATEMATICAS SUSPERREGUI LESACA , JULIAN JOSE Secretario MATEMATICAS ARIAS MOSQUERA , DANIEL Vocal MATEMATICAS ARANA SUAREZ , MARIA VICTORIA

Competencias

Code
A18643
B5655
B5656
B5664
B5665
B5666
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
C5	CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy

Learning aims

	Competences
	A18643	B5656	C1
		B5656 B5664 B5665	C4
		B5655 B5656 B5664 B5665 B5666	C1 C5
		B5656 B5666	C1 C4

Contents

Topic	Sub-topic
Differential Equations	- First order Differential Equations. - Higher Order Differential Equations. - Systems. - Introduction to Partial Differential Equations. - Introduction to numerical resolution of Differential Equations.
Differential Geometry	- Parametrized curves. - Parametrized surfaces. First and second fundamental forms.

Planning

Methodologies  ::  Tests
	Class hours	Hours outside the classroom	Total hours
Problem solving, classroom exercises	24	36	60
Tutorship of group	4	0	4
Lecture	24	36	60
Extended-answer tests	8	18	26
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies

Methodologies   ::  

	Description
Problem solving, classroom exercises	Problem solving in classroom encouraging an active participation of the students.
Tutorship of group
Lecture	Expound on theoretical contents and problems or exercises

Personalized attention

Description

Assessment

	Description	Qualification
Extended-answer tests	During the semester there will be at least two Individual In-person Writen Test.	>=70%
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	Zill, D. G., Wright, W, S., Advanced Engineering Mathematics, Jones and Bartlett Publishers, 2011 Marsden, J. E., Tromba, A. J., Cálculo Vectorial, Pearson, 2018 Boyce, W. E., DiPrima, R. C., Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons, 2017
Complementary	Agarwal, R. P., O'Reagan, D., An introduction to ordinary differential equations, Springer, 2008 Klingenberg, W. , Curso de geometría diferencial, Alhambra , 1978 Toponogov, V. A., Differential geometry of curves and surfaces. A concise guide , Birkhäuser, 2006 Zill, D. G., Ecuaciones Diferenciales con aplicaciones de modelado, Thomson, 1997 Simmons, G. F. , Ecuaciones Diferenciales con aplicaciones y notas históricas , McGraw-Hill , 1999 Novo S., Obaya R., Rojo J., Ecuaciones y sistemas diferenciales, Editorial AC, 1992 López de la Rica, A., de la Villa Cuenca A., Geometría Diferencial, CLAGSA, 1991 Do Carmo, M. P., Geometria diferencial de curvas y superficies, Alianza, 1995 Galindo, F., Sanz, J., Tristán, L. A., Guía práctica de Cálculo en varias variables, Thomson, 2005 Campbell, S. L., Haberman, R., Introducción a las ecuaciones diferenciales con problemas de valor de frontera, McGraw-Hill, 1998 Varona, J. L., Métodos clásicos de resolución de ecuaciones diferenciales ordinarias, Servicio de Publicaciones, Universidad de La Rioja, 1996 J. San Martín, V. Tomeo, I. Uña , Métodos Matemáticos, Paraninfo, 2015 Gadella, M., Nieto, L. M., Métodos Matemáticos avanzados en Ciencias e Ingeniería , Secretariado de Publicaciones de la Universidad de Valladolid , 2000 Walter, W., Ordinary differential equations , Springer, 1998 Jost, J., Partial Differential Equations, Springer, 2007 Stephenson, G., Partial Differential Equations for scientists and engineers, Word Scientific, 1996

Recommendations

Subjects that it is recommended to have taken before

LINEAR ALGEBRA AND GEOMETRY / 00707001 DIFFERENTIAL AND INGTEGRAL CALCULUS / 00707002 NUMERICAL AND ESTATISTICAL METHODS / 00707006