Mathematical Analysis III D
Code
7544
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
João de Deus Mota Silva Marques
Weekly hours
6
Total hours
40
Teaching language
Português
Objectives
- Basic features of the theory of complex variable functions.
- Study of ordinary differential equations. We hope that the students be able to determine the general solution and particular solutions of various types of ordinary differential equations.
- In the second part we intend the students use the Laplace Transforms for solving differential and integral equations.
- The student is also supposed to learn the essential about Fourier series and their application to the resolution of partial differential equations.
Prerequisites
Proficiency in Analysis correponding to the Mathematical Analysis I and Mathematical Analysis II courses.
Bibliography
J. Marsden and M.Hoffman, Basic Complex Analysis (Freeman, 1999).
R. Churchill, J. Brown and R. Verhey, Complex Variables and Applications (McGraw-Hill, 1976).
D. Zill and P. Shanahan, Complex Analysis with applications (Jones and Bartlett Publishers, 2003).
Apostol, T.M. - Calculus - Volume I e Volume II - Blaidsell Publishing Company.
Braun, Martin - Differential Equations and their Applications, Springer-Verlag
Freitas, A.C. - Análise Infinitesimal - Volume 1 e Volume 2 - Notas de Lições para alunos do 2º ano das Licenciaturas da FCT.
Howard, Anton - Calculus: A New Horizon -John Wiley and Sons.
Kreysig - Advanced Engineering Mathematics
Taylor, A.E.;-- Man, W.R. - Advanced Calculus - John Wiley and Sons.
Zill, D. G. ; Cullen, M.R. - Differential equations with boundary value problems; 6th edition.