Algebra

Code:

EC0002

Acronym:

ALGE

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Mathematics Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEC	0	Plano de estudos de transição para 2006/07	1	7	7	75	187
MIEC	259	Syllabus since 2006/2007	1	-	7	75	187
		Plano de estudos de transição para 2006/07	1	-	7	75	187

Teaching language

Portuguese

Objectives

It is the aim of this course that students acquire deep knowlegde on the fundamental tools of Linear Algebra.

Program

-Complements on fundamental algebraic structures.
-Matrices over a Field.
-Vector Spaces.
-linear systems.
-Determinants.
-Linear transformations.
-Euclidean Spaces.
-Eigenvectors and Eigenvalues.
-Quadratic Forms.
Analytic Geometry

Mandatory literature

F.R.Dias Agudo; Introdução Á Álgebra linear e Geometria Analítica, Escolar Editora, 1996. ISBN: 972-592-050-3
Sheldon Axler; Linear Algebra done right, Springer, 1997. ISBN: 0-387-98258-2
Elon Lages Lima ; Álgebra Linear e geometria analitica, Instituto de Matemática Pura e Aplicada, 1996. ISBN: 852440102-8
Anton Rorres; Álgebra Linear com aplicações, Bookman, 2000. ISBN: 85-7307-847-2
Emilia Giraldes, Vitor Hugo, M.Paula Marques Smith; Álgebra Linear e geometria analitica, McGrawHill, 1995. ISBN: 972-8298-02-1
Anton Rorres; Elementary Linear Algebra with Applicattions, John Wiley, 2005. ISBN: 0471449024

Complementary Bibliography

António Monteiro; Álgebra Linear e geometria analitica, McGraw-Hill. ISBN: 972-8298-66-8
Adelaide Carreira e Gonçalo Pinto; Cálculo Matricial , Instituto Paiget, 972-771-090-5. ISBN: 972-771-090-5

Teaching methods and learning activities

This course is at the introductory level with major emphasis on inducing mathematical intuition in the student by intertwining theoretical knowledge with its applications on subjects appearing on following-up courses. At this level, it is stimulated a intuituive comprehension as well as computational abilities. Subjects are introduced objectively and smoothly in theoretical classes making regular use of examples coming from other areas as for instance, Physics, Mechanics and Structure Theory.

Software

maple
Maple 6

keywords

Physical sciences > Mathematics > Algebra

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	85,00
teste	Exame	2,50		2008-02-01
teste	Exame	2,50		2007-11-24
	Total:	-	0,00

Eligibility for exams

The number of allowed unattended classes is defined by law 4º-nº1 (25% of the foreseen total of tutorial classes).

Calculation formula of final grade

The classification is based in two examinations T1 e T2.
The final classification is
F=0,4T1+0,6T2,where T1=20 e T2=20

Special assessment (TE, DA, ...)

Final Exam.
SPECIAL RULES FOR MOBILITY STUDENTS:
Proficiency in Portuguese and/or English; Previous attendance of introductory graduate courses in the scientific field addressed in this module; Evaluation by exam and/or coursework(s) defined in accordance with student profile.

Classification improvement

Under law regulation in nr. 2 of Article 10th of general rules of avaliation.

Observations

The students may consult the discipline page where there will be some notes about matrices, linear systems, vector spaces, linear transformations, euclidean spaces, eighenvectors and eigenvalues of a linear transformation,
quadrics forms and analytic geometry. For other hand there notices about the discipline in this page like the bibliography and some links to
some ebooks of linear algebra in english.
The notes are in advance in sifeup algebra contents, because it is easier to put them in the Sifeup than in the discipline page.
...........................................................
Working time estimated out of classes: 4 hours