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Linear Algebra and Analytic Geometry II

Code: M1026     Acronym: M1026     Level: 100

Keywords
Classification Keyword
OFICIAL Mathematics

Instance: 2020/2021 - 2S Ícone do Moodle Ícone do Teams

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

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
L:M 98 Official Study Plan 1 - 6 56 162
Mais informaçõesLast updated on 2020-07-01.

Fields changed: Teaching methods and learning activities, Fórmula de cálculo da classificação final, Componentes de Avaliação e Ocupação, Obtenção de frequência, Programa, Avaliação especial

Teaching language

Portuguese

Objectives

To learn several basic concepts of Linear Algebra.

Learning outcomes and competences

To understand and to be able to use the concepts and the results that were taught.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Basic concepts introduced at the unity Linear Algebra and Analytic Geometry I.

Program


 


  • Eigenvectors and eigenvalues; diagonalization.

  • Analytic geometry in R^n: affine space; k-plane; cartesian equations; metric problems.

  • Self-adjoint endomorphisms and symmetric matrices; diagonalization of symmetric matrices; quadratic forms and application to the study of conics and quadrics.

  • Linear isometries and orthogonal matrices; geometric characterization in R^2 and R^3. 


Mandatory literature

Monteiro António; Álgebra linear e geometria analítica. ISBN: 972-8298-66-8
Anton Howard; Elementary linear algebra. ISBN: 0-471-66959-8
Magalhaes Luis T.; Algebra linear como introducao a matematica aplicada. 5ª ed. ISBN: 972-47-007-0
Nomizu Katsumi; Fundamentals of linear algebra

Teaching methods and learning activities

Lectures and classes: the contents of the syllabus are presented in the lectures, where examples are given to illustrate the concepts. There are also practical lessons, where exercises and related problems are solved. All resources are available for students at the unit’s web page.

keywords

Physical sciences > Mathematics > Algebra
Physical sciences > Mathematics > Geometry

Evaluation Type

Distributed evaluation without final exam

Assessment Components

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

Amount of time allocated to each course unit

designation Time (hours)
Estudo autónomo 106,00
Frequência das aulas 56,00
Total: 162,00

Eligibility for exams

No requirements.

Calculation formula of final grade

Continuous evaluation without final exam


Continuous evaluation is based on two test results (to be defined). The final score will be the arithmetic mean of test scores.


Any student can choose not to submit to continuous evaluation and obtain the final classification performing the examination in the second examination period (Época de Recurso).


In any case, a student with a final grade ≥ 16.5 may eventually be subjected to an extra oral or written test.

All registered students are admitted, without restrictions, to the tests and exams.

Special assessment (TE, DA, ...)

According to the General Evaluation Rules.


Any student asking for an exam because of special conditions of his registration will do a written exam, but possibly, only, after an extra written or oral examination, in order to check if the student has a minimum knowledge about the unit so that he can do the special exam.

Classification improvement

The general evaluation rules apply.

Observations

Docente
apdias(at)fc.up.pt
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