Algebra

Code:

EA0014

Acronym:

A

Keywords
Classification	Keyword
OFICIAL	Interp/Personal professional attitudes and capac.
OFICIAL	Design, Development, Implementation and Operation
OFICIAL	Basic Sciences

Instance: 2010/2011 - 2S

Active?	Yes
Responsible unit:	Mining Engineering Department
Course/CS Responsible:	Master in Environmental Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEA	75	Syllabus since 2006/07	1	-	6	56	162

Teaching language

Portuguese

Objectives

It is aimed that the student develops the creative mathematical thinking, integrates concepts and learns techniques related to Linear Algebra and Analytical Geometry, namely on the following contents:
- Linear Systems.
Solving Linear Systems; •Linear Geometry in Rn; Diagonalization;
- Vector Spaces
• Definition of vector space; Linear combinations and independence; Basis and dimension;
- Applications between Spaces
• Homomorphism; Isomorphisms; Calculation of linear maps; Change of basis; Projections;
- Similarity
Complex Vector Spaces; Determinant of a Matrix; similarity; Nilpotency; Jordan Form; Conics, Quadratics;
- Familiarization with computer tools for solving Linear Algebra and Analytical Geometry exercises.

Program

All items mentioned above will be approached, being the following items emphasized: Algebraic Structures; Matrices; Linear Systems of equations; Determinants; Vector Spaces; Eigenvectors and Eigenvalues, Linear Transformations, Euclidean Spaces, Vector Calculus, Bi and Tri-dimensional Analytical Geometry.

Mandatory literature

Steinbruch, Alfredo; Algebra linear, geometria analítica
Agudo, F. R. Dias; Introdução à álgebra linear e geometria analítica. ISBN: 972-592-050-3

Complementary Bibliography

Friedberg, Stephen H.; Linear Algebra. ISBN: 981-3026-50-2
Rorres, Anton ; Álgebra Linear com aplicações, Bookman, 2000
Emilia Giraldes, Vitor Hugo, M.Paula Marques Smith ; Álgebra linear e geometria analítica, , McGrawHill, 1995
• Ribeiro, C. Silva. Reis, Luizete, Reis, Sérgio Silva; Álgebra Linear. Exercícios e Aplicações, McGraw-Hill, 1985
Ribeiro, C. Silva; Algebra linear. ISBN: 972-9241-11-2
Isabel Cabral, Cecília Perdigão, Carlos Saiago; Álgebra Linear, Escolar Editora, 2010. ISBN: 978-972-592-309-2
António Monteiro; Álgebra Linear , Verlag Dashofer, 2010. ISBN: 978-989-642-081-9
António Monteiro; Matrizes, Verlag Dashofer, 2010. ISBN: 978-989-642-083-3

Teaching methods and learning activities

Theoretical Classes - Exposition and development of the course's contents. Thematic lectures given by invited teachers and focused on particular themes of the contents.

Theoretical-Practical Classes - Resolution of practical exercises on contents previously studied in theoretical classes. Delivery of short sheets with complementary exercises that the student will try to solve individually and outside the classroom.

Software

MATLAB
MATLAB

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	56,00
	Total:	-	0,00

Eligibility for exams

The attendance at practical classes is compulsory, • except for the cases specified in the legislation (working students and other special evaluation students). A student cannot exceed the absence limit (25% of the practical classes), otherwise he will not attain frequency.

Calculation formula of final grade

Final Exam.

Examinations or Special Assignments

None.

Special assessment (TE, DA, ...)

Final Exam in the special examination period.

Classification improvement

Classification improvement is done accordingly to the General Evaluation Rules in force in FEUP.

Observations

Office hours (make an appointment by e-mail - jgois@fe.up.pt):
Monday - (16h30 - 17h30)
Tuesday - (16h00 - 17h00)
Wednesday - (15h00 - 17h00)
Thursday - (16h30 - 17h30)