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Linear Algebra and Analytic Geometry II

Code: M1026     Acronym: M1026     Level: 100

Keywords
Classification Keyword
OFICIAL Mathematics

Instance: 2018/2019 - 2S Ícone do Moodle

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 81 Official Study Plan 1 - 6 56 162
Mais informaçõesLast updated on 2018-10-24.

Fields changed: Program, Palavras Chave, Componentes de Avaliação e Ocupação

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

Program





Analytic geometry in Rn: affine space; k-plane; cartesian equations; metric problems.

Eigenvectors and eigenvalues. Diagonalization.

Linear isometries and orthogonal matrices; geometric characterization in R2 and R3.

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





Mandatory literature

Anton Howard; Elementary linear algebra. ISBN: 0-471-66959-8
Gabriela Arala Chaves; Apontamentos de Álgebra Linear e Geometria Analítica II
Magalhaes Luis T.; Algebra linear como introducao a matematica aplicada. 5ª ed. ISBN: 972-47-007-0
Monteiro António; Álgebra linear e geometria analítica. ISBN: 972-8298-66-8
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 with final exam

Assessment Components

designation Weight (%)
Exame 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

Época normal


Final mark at "Época normal"

There will be two  tests during  the semester, quoted each one for 10 points, that the student may  choose or not to attend.

Dates:



  • Test 1: April 2, 2019;

  • Test 2: May 28, 2019.


Test 1 classification: Y (out of 10).
Test 2 classification: Z (out of 10).


The student will be approved with the mark (Y + Z)  if (Y + Z) is greater or equal to 10 and the student didn't make the exam at "época normal". If the student made the "época normal" exam, his final classification is the exam classification (out of 20).


Remark 1: The "época normal" exam will consist of two parts, the first one marking out of 10 and the second one marking out of 10, in correspondence to the material that have been evaluated at test 1 and 2. 


The student can decide not to make one of the parts of the exam, and then it will be considered the classification obtained by the student at the corresponding test. 


Final mark at "Época de recurso"


Final mark: mark obtained at the exam of "Época de recurso" (out of 20).


Remark 2: The "época de recurso" exam will consist of two parts, the first one marking out of 10 and the second one marking out of 10, in correspondence to the material that have been evaluated at test 1 and 2. The student that was not approved at "Época normal" can decide not to make one of the parts of the exam, and then it will be considered the classification obtained by the student at the corresponding test.


Remark 3: The student that was approved at "Época normal"  can't use the classification(s) obtained by him at the test(s) if he decides to make the exam of "Época de recurso" for improving his final mark at the course.


Remark 4: At the "Época de recurso" exam, it is not possible to use the classification obtained  at any of the two parts of the"Época normal" exam. 

Special assessment (TE, DA, ...)

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 student that was approved at "Época normal"  can't use the classification(s) obtained by him at the test(s) if he decides to make the exam of "Época de recurso" for improving his final mark at the course. 

The student that has been approved at the school year 2017/18 and decides to improve his final mark at the course, he can do that only by making the exam and not by doing the tests.

Observations

Faculty:
Ana Paula S. Dias
apdias(at)fc.up.pt
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