Calculus II

Code:

M1003

Acronym:

M1003

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2019/2020 - 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	100	Plano de estudos a partir de 2014	1	-	6	56	162
L:F	0	Official Study Plan	2	-	6	56	162
L:G	1	study plan from 2017/18	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162
MI:ERS	134	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

Stewart James; Cálculo. ISBN: 85-221-0479-4 (Vol. I)

Complementary Bibliography

Adams e Essex; Calculus - A Complete Course, 2010. ISBN: 978-0-321-54928-0 (7th edition)
Jerrold E. Marsden; Vector calculus. ISBN: 978-1-4292-2404-8

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, ...)

written or oral exam.

Observations

Juri: all lecturers of this unit.