Mathematics II
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2022/2023 - 2S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
To introduce the basic concepts and results on Vector Spaces and extend the study of Calculus to multi
variable Calculus.
Learning outcomes and competences
A student is expected to know the concepts and basic results 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
Planned program
1. Linear Algebra and applications to Analytic Geometry.
2. Parameterized curves.
3. Vector multivariable functions.
4. Real multivariable functions; function extrema and multivariable integrals.
Mandatory literature
Texto de apoio; disponível na página da disciplina no Moodle.
Complementary Bibliography
Adams Robert A.;
Calculus. ISBN: 0-321-27000-2
Anton Howard;
Elementary linear algebra. ISBN: 0-471-66959-8
Fraleigh John B.;
Linear algebra. ISBN: 0-201-52675-1
Stewart James 1941-;
Cálculo. ISBN: 978-85-221-2584-5 2o v.
Teaching methods and learning activities
The content of the syllabus is presented at the lectures, and proposed exercises are solved at the practical classes.
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 |
106,00 |
Frequência das aulas |
56,00 |
Total: |
162,00 |
Eligibility for exams
No requirements.
Calculation formula of final grade
During the semester there will be two tests, each with quotation 10. The second test will take place at the first exam season.
Course approval can be obtained
1) at the first exam season, where the final classification is the sum of the classifications obtained in the two tests.
2) in the final exam, to be held at the second or special 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.
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.