Mathematics II

Code:

EM192

Acronym:

EM192

Keywords
Classification	Keyword
OFICIAL	Basic Sciences

Instance: 2016/2017 - 2S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	First Degree in Engineering Sciences

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:CE	59	PE2007- Perfil Engenharia Geográfica	1	-	7,5	-
		PE2007- Perfil Engenharia Alimentar	1	-	7,5	-
		PE2007- Perfil Engenharia Agronómica	1	-	7,5	-

Teaching language

Portuguese

Objectives

To introduce the basic concepts and results on Vector Spaces and extend the study of Calculus to Vector Calculus.

Learning outcomes and competences

A student is expected to know the concepts and basic results of Linear Algebra and Vector Calculus covered in the course and to develop the ability to use them.

Working method

Presencial

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

It is assumed in this course that the student is familiar and is capable of using the basic notions of Linear Algebra and Calculus given in the previous course Matemática I.

Program

1. Linear Algebra: real vector spaces R^n.

2. Parameterized curves in R^2 and R^3.

3. Vector multivariable functions.

4. Integration: integration by parts, by substitution and partial fractions.

5. Integrals: improper integrals, multivariable integrals.

Mandatory literature

Adams Robert A.; Calculus. ISBN: 0-321-27000-2
Anton Howard; Elementary linear algebra. ISBN: 0-471-66959-8
Marsden Jerrold E.; Vector calculus. ISBN: 7167-4992-0
Stewart James; Cálculo. ISBN: 85-221-0479-4 (Vol. I)

Teaching methods and learning activities

The content of the syllabus is presented at the lectures, and proposed exercises are solved by the students at the practical classes.

Evaluation Type

Distributed evaluation without final exam

Assessment Components

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

Eligibility for exams

Students are not required to attend classes.

Calculation formula of final grade

During the semester there will be two tests whose quotation sums 20. The second test will take place at the first exam season.

Course approval can be obtained 

1) throught the tests.

2) in the final exam, to be held at the second exam season.

The final exam consists of 2 parts, each corresponding to a test.

In the final exam, students who have not yet obtained approval (and only these) may choose not to solve one part of the exam, that would then get the grade of the corresponding test.

Special assessment (TE, DA, ...)

In any special evaluation season, the written exam might be preceded by an eliminatory oral test to assess whether the student satisfies minimum requirements to tentatively pass the written exam.

Classification improvement

Students wishing to undertake a classification improvement must solve all parts of the exam in the 2nd evaluation season.

Observations

It may be asked to any student to take an extra oral or written examination if any doubt concerning his/her performance occurs on certain assessment pieces.