Embed Size px x x x x Ecuaciones diferenciales y problemas con valores en la frontera Cuarta edicinWilliam E. Boyce Richard C. PrlogoUn curso de ecuaciones diferenciales elementales es un medio excelente para que el estu diante comprenda la relacin que hay entre las matemticas y las ciencias fsicas o la inge niera.

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The course syllabus and the academic weekly planning may change due academic events or other reasons. Calculus III. Study: Bachelor in Energy Engineering Department assigned to the subject: Department of Mathematics. Type: Compulsory. Students are expected to have completed.

Competences and skills that will be acquired and learning results. Further information on this link. By the end of this course, students will be able to: 1. Know and understand the mathematical principles of the Theory of Differential Equations, both Ordinary and in Partial Derivatives, underlying Energy Engineering.

Apply their knowledge and understanding of the mathematical principles to identify, formulate and solve problems in Differential Equations by using established methods. Combine theory and practice to solve Differential Equations problems. Know and understand the methods and procedures of the Theory of Differential Equations, its area of application and its limitations.

Description of contents: programme. First Order Differential Equations. Definitions and examples. Elementary resolution methods. Higher Order Differential Equations. Linear equations of order n with constant coefficients. Equations with variable coefficientes: order reduction and equidimensional equations. Relation between systems and linear equations. Laplace Transform. Definition and properties.

Transforming and anti-transforming. Application to solving linear differential equations and systems. Introduction to Partial Differential Equations. Initial and boundary problems. Different kind of equations and data.

Classification of second order, linear PDEs. Method of separation of variables. Even, odd, and periodic extensiones of a function. Trigonometric Fourier series. Solving homogeneous and non-homogeneous PDEs using separation of variables and Fourier series. Complex form of Fourier series. Sturm-Liouville Problems. Self-adjoint Sturm-Liouville problems. Rayleigh's quotient. Minimization theorem. Solving PDEs using separation of variables and generalized Fourier series.

Sturm-Liouville problems in several variables. Learning activities and methodology. The learning methodology consists of: -lectures covering the most important topics defined in the course programe. Assessment System. Control exams. Final exam. Basic Bibliography.

Memoria Docente. Ecuaciones Diferenciales en Derivadas Parciales. Bubok Publishing S. Ecuaciones en derivadas parciales con series de Fourier y problemas de contorno. Additional Bibliography. Ecuaciones Diferenciales, Problemas de Contorno y Aplicaciones. Ecuaciones diferenciales y problemas convalores en la frontera. If you try to connect from outside of the University you will need to set up a VPN.


Ecuaciones diferenciales y problemas con valores en la frontera Boyce Diprima



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