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Linear Algebra and Analytic Geometry II

Code: M1026     Acronym: M1026     Level: 100

Keywords
Classification Keyword
OFICIAL Mathematics

Instance: 2019/2020 - 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 86 Official Study Plan 1 - 6 56 162

Teaching Staff - Responsibilities

Teacher Responsibility
Christian Edgar Lomp

Teaching - Hours

Theoretical classes: 2,00
Theoretical and practical : 2,00
Type Teacher Classes Hour
Theoretical classes Totals 1 2,00
Christian Edgar Lomp 2,00
Theoretical and practical Totals 2 4,00
Christian Edgar Lomp 4,00
Mais informaçõesLast updated on 2020-05-04.

Fields changed: Teaching methods and learning activities, Lingua de trabalho, Melhoria de classificação, Fórmula de cálculo da classificação final

Teaching language

Suitable for English-speaking students

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





Eigenvectors and eigenvalues. Diagonalization.

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

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

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 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








0 Linear Algebra and Analytic Geometry I

Calculation formula of final grade

Regular exam period

Assessment:

The final exam will have two parts, each worth 10 points.

The partial credits can be obtained through 3 home work assignments of 8 points (3+3+2) and a quizz (2 points).

The student has to decide while taking the final exam, whether he/she intends to substitute the evaluation of the first part of the exame by the partial credits.

Concretely,

















P1, P2 points obtained in part 1 and 2 of the exam.
C partial credits, the sum of the points obtained through the homework assignments and the quiz.
d

the decission of the student:


d=1 : the points P1  should be considered.


d=0: the points C should be considered.




The final score is

Final score = P2 + d*P1 + (1-d)*C




Make-up exam


Final Score:


The make-up exam consists of two parts, each worth 10 points.

The student that has previously not passed the course can substitute the score of the first part of the exam by partial credits.

The student that has already passed the course and intends to improve the grade can not substitute any part of the exam by partial credits and must take the exam as a whole.

None of the scores of the parts of the regular exam can be used in the make-up 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 has already passed the course and intends to improve the grade can not substitute any part of the exam by partial credits and must take the exam as a whole.

A student that has passed the course in a previous year and wants to increase the score can only do so by doing the exam.

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