Real Analysis III

Code:

M2010

Acronym:

M2010

Level:

200

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2016/2017 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Biology

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:M	71	Official Study Plan	2	-	6	56	162
L:Q	0	study plan from 2016/17	3	-	6	56	162

Teaching language

Portuguese

Objectives

To introduce, in a concrete way, the main results of Classical Analysis of svereal variables as well as the ones of Vector Analysis, emphasizing techniques specific to this area as well as their applications.

Learning outcomes and competences

The student is expected to learn the basic ideas and main results of the subject as well as becoming familiar with the main tools referred to in the syllabus.

Working method

Presencial

Program

...

Mandatory literature

Marsden, Tromba; Vector Calculus, W. H. Freeman and Company, 1988. ISBN: 0-7167-1856-1
Marsden, Hoffman; Elementary Classical Analysis, W. H. Freeman and Company, 1993. ISBN: 0-7167-2105-8
Elon Lages Lima; Espaços Métricos, Projecto Euclides, 2003. ISBN: 85-244-0158-3

Complementary Bibliography

Elon Lages Lima; Curso de Análise vol. 2, Projecto Euclides. ISBN: 85-244-0049-8
Serge Lang; Calculus of Several Variables, Springer, 1987. ISBN: 0-387-96405-3
Munkres James R.; Analysis on manifolds. ISBN: 0-201-51035-9

Teaching methods and learning activities

Explanation of the several theoretic topics on the blackboard . Strong interconnection between the theoretical and practical classes at the level of exercises and examples and of theoretical results.

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Calculation formula of final grade

Final examination only