Linear Algebra with Analytic Geometry II

Code:

M142

Acronym:

M142

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2015/2016 - 2S

Active?	Yes
Web Page:	https://moodle.up.pt/course/view.php?id=705
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:AST	0	Plano de Estudos a partir de 2008	3	-	7,5	-
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:F	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	104	Plano de estudos a partir de 2009	1	-	7,5	-
L:Q	0	Plano de estudos Oficial	3	-	7,5	-

Teaching language

Portuguese

Objectives

The student is expected to learn the basic ideas and main results of the subjects referred to in the syllabus, as well as becoming familiar with the main tools related to these subjects. In particular s/he should be able to understand and use the basic notions and results concerning the determinant function, spaces with inner product and the Jordan canonical form.

Learning outcomes and competences

The student is expected to learn the basic ideas and main results of the subjects referred to in the syllabus, as well as becoming familiar with the main tools related to these subjects. In particular s/he should be able to understand and use the basic notions and results concerning the determinant function, spaces with inner product and the Jordan canonical form.

Working method

Presencial

Program

1. Vector spaces, direct sums
2. Determinants
3. Jordan Canonical form
4. Bilinear forms and scalar product

Mandatory literature

Santana Ana Paula Jacinto; Introdução à álgebra linear. ISBN: 9789896163723

Complementary Bibliography

Monteiro António; Álgebra linear e geometria analítica. ISBN: 972-8298-66-8
Anton Howard; Elementary linear algebra. applications version. 7th ed. ISBN: 0-471-58741-9
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.

 

Evaluation Type

Distributed evaluation with final exam

Assessment Components

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

Eligibility for exams

No requirements.

Calculation formula of final grade

Final mark at "Época normal"

 Test 1 date: 6th of April, 2016.

Test 1 classification: Y (out of 10).

 Test 2 date: 1st of June, 2016.

Test 2 classification: Z (out of 10).

Final mark at "época normal":

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".

 Exam classification: X (out of 20);

Final mark at "época normal":

X if the student made the "época normal" exam.

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 2014/15 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.