Calculus II

Code:

M1003

Acronym:

M1003

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2016/2017 - 2S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:CC	106	Plano de estudos a partir de 2014	1	-	6	56	162
L:Q	0	study plan from 2016/17	3	-	6	56	162
MI:ERS	158	Plano Oficial desde ano letivo 2014	1	-	6	56	162

Teaching language

Portuguese

Objectives

Understanding and ability to make use of the concepts and results covered in the syllabus, namely through the resolution of exercises of practical nature.

Learning outcomes and competences

Acquisition of the basic knowledge and skills of Differential and Integral Calculus in several real variables.

Working method

Presencial

Program

1. Parametrized curves in R^n.
2. Real multivariable functions.
3. Derivatives of multivariable functions.
4. Maxima and minima of real valued multivariable functions.
5. Multivariable integrals.

Mandatory literature

Adams Robert A.; Calculus. ISBN: 0-321-27000-2
Marsden Jerrold E.; Vector calculus. ISBN: 7167-4992-0
Stewart James; Cálculo. ISBN: 85-221-0479-4 (Vol. I)

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 without final exam

Assessment Components

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

Calculation formula of final grade

The content of this course will be divided into two parts, each one evaluated by a test graded for 10 values.

The 2nd test takes place at the time scheduled for the 1st examination season. At the same time, the student may choose to repeat de first test.

1st evaluation season:

• The final grade of the 1st evaluation season is the sum of the 2 tests, except in the following cases.
• Grades greater than 18 will only be awarded after completing an additional (written) test. 

2nd evaluation season:

• In the 2nd evaluation season exam, the students can repeat again the two tests or only one of them.
• The grade of each part is the best between the grades obtained in the corresponding tests in the two seasons.
• The final grade of the 2nd evaluation season is the sum of the grades of the two parts, except in the following cases.
• Students who have obtained a classification of 8.5 or more and less than 9.5 will have access to a complementary test to decide on their approval (with 10 values) or failure (with 9 values).
• Grades greater than 18 will only be awarded after completing an additional (written) test. 

Special assessment (TE, DA, ...)

The examinations required under special statutes shall consist of a written test that may be preceded by an oral test that will decide if the student will have access to the written test.

Classification improvement

Students wishing to take a classification improvement exam in the normal season will have to complete the 2 tests and their final grade is the sum of the scores of the two tests.

Students wishing to improve their grades at the time of appeal will have to take the 2 tests on the day marked for the resource exam and the final grade is the sum of the grading of these two tests.