2023
Mathematical Analysis IV
Name: Mathematical Analysis IV
Code: MAT13642L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
Basic formation in difference equations, partial differential equations, measure theory and convex analysis, at the level of fundamental concepts but with emphasis on calculus and applications.
Develop abstraction skills, creative intuition, model construction and spirit of criticism.
Develop skills for explaining the obtained results, both orally and written
Develop skills to relate concepts and techniques with applications, namely to mathematics, engineering and economics.
Develop abstraction skills, creative intuition, model construction and spirit of criticism.
Develop skills for explaining the obtained results, both orally and written
Develop skills to relate concepts and techniques with applications, namely to mathematics, engineering and economics.
Contents
Difference equations. Non-linear difference equations.
Integral transforms.
Introduction to Partial Differential Equations: diffusion, Laplace, Wave, Black-Scholles.
Introduction to measure theory.
Introduction to convex analysis in Rn.
Applications.
Integral transforms.
Introduction to Partial Differential Equations: diffusion, Laplace, Wave, Black-Scholles.
Introduction to measure theory.
Introduction to convex analysis in Rn.
Applications.
Teaching Methods
Teaching:
Structured exposition, examples with emphasis on applications and on solving exercises.
To stimulate students initiative, so that classes become essentially centered on students activities, guided by their teacher; instead of on teachers activities, copied by students. Particularly in what concerns submission of questions and / or suggestions of application and / or description of contents, the solving of exercises, participation in discussions, etc.
Evaluation:
Two midterms test (50%+50%) or exam (100%).
Structured exposition, examples with emphasis on applications and on solving exercises.
To stimulate students initiative, so that classes become essentially centered on students activities, guided by their teacher; instead of on teachers activities, copied by students. Particularly in what concerns submission of questions and / or suggestions of application and / or description of contents, the solving of exercises, participation in discussions, etc.
Evaluation:
Two midterms test (50%+50%) or exam (100%).
Teaching Staff
- Carlos Correia Ramos [responsible]
