Algebra

Code:

EIC0003

Acronym:

ALGE

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Fundamental Sciences and Electrotechnics
Course/CS Responsible:	Master in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEIC	0	Plano de estudos de transição para 2006/07	1	5	5	70	135
MIEIC	179	Syllabus since 2006/2007	1	-	5	70	135

Teaching language

Portuguese

Objectives

The goal of this course is to give students basic knowledge of linear algebra. They should also understand the notions of matrices and determinants and their use to solve systems of linear equations. Students should also acquire the concepts of vector spaces, and the related subjects of linear transformation and linear operator. The notions of eigenvalues and eigenvectors, and the diagonal form of a matrix are also considered.

Program

Algebraic Structures. Complex numbers: basic operations and representation notations. Matrices: definition; operations. Determinants: definition; properties. Linear equation systems: Cramer’s rule; Gauss elimination; homogeneous systems. Vector Spaces: definitions; subspaces; basis and dimension. Linear transformations: definitions; matrix representation; image and null spaces; change of basis. Eigenvalues and eigenvectors: similar matrices; invariants subspaces.

Mandatory literature

Ana Maria Mendonça, Cristina Ribeiro; Álgebra, 2007

Complementary Bibliography

Ribeiro, C. Silva; Algebra linear. ISBN: 972-9241-11-2
Agudo, F. R. Dias; Introdução à álgebra linear e geometria analítica. ISBN: 972-592-050-3
Friedberg, Stephen H.; Linear Algebra. ISBN: 0-13-233859-9

Teaching methods and learning activities

Theoretical classes consist on a formal exposition of the contents, followed by the presentation and discussion of examples. All the student’s doubts will be clarified in theoretical/ practical classes.

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
Mid-term evaluation	Exame	2,50		2008-02-08
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Distributed study along semester	Estudo autónomo	40	2008-02-08
	Total:	40,00