Calculus II
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2017/2018 - 2S ![Requerida a integração com o Moodle Ícone do Moodle](/fcup/pt/imagens/MoodleIcon)
Cycles of Study/Courses
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 |
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.
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.
- 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 8,5 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).
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.