Calculus II

Code:

M1003

Acronym:

M1003

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2018/2019 - 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	92	Plano de estudos a partir de 2014	1	-	6	56	162
L:F	0	Official Study Plan	2	-	6	56	162
L:G	0	study plan from 2017/18	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162
MI:ERS	143	Plano Oficial desde ano letivo 2014	1	-	6	56	162

Teaching language

Portuguese

Objectives

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

Learning outcomes and competences

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

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

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	103,00
Frequência das aulas	56,00
Trabalho escrito	3,00
Total:	162,00

Eligibility for exams

Attendance is not required to obtain frequency.

Calculation formula of final grade

Regular evaluation season

Evaluation distributed in four tests:

• Three tests on the first three chapters, respectively, each of which quoted for 5 values, to be carried out during the class period and a fourth test on the last chapter, quoted for 5 values, to be held on the date set for the examination of the time normal.
• The final grade is the sum of the test scores, rounded to the unit, except in the case of scores higher than 18, which will require a written valuation test.

Second evaluation season:

Final exam with four parts:

• The student may choose to take any parts on the exam or use classifications of corresponding parts obtained in tests or previous exam.
• If they choose to take part in the exam, it will be the classification obtained there for the final grade.
• Students who have obtained a classification of 8 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 8 or 9 values).
• Scores higher than 18 will require a written valuation test.

Special assessment (TE, DA, ...)

The evaluation required under statutes or special conditions will consist of two components:

- component A: a written or oral test of 7 values where basic knowledge of the given program will be tested;

- component B: a written test of 13 values that will cover the whole of the given program.

For approval, the student will have to obtain the minimum classification of 3 values in component A, without which he will be disapproved for lack of component. Once the condition of obtaining the minimum classification in component A has been verified, the student will be admitted to component B and the final classification will be the sum of the classifications obtained in components A and B.