Mathematics II
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2018/2019 - 2S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
To introduce the basic concepts and results of Linear Algebra 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 Calculus given in the previous course Matemática I.
Program
Planned program
1. Linear Algebra: vectors in R^n. Matrices and systems of linear equations. Determinants. Real vector space R^n. Diagonalization of matrices.
2. Vector Calculus: real multivariable functions; local maxima and minima; multivariable integrals.
Mandatory literature
Fraleigh John B.;
Linear algebra. ISBN: 0-201-52675-1
Anton Howard;
Elementary linear algebra. ISBN: 0-471-66959-8
Adams Robert A.;
Calculus. ISBN: 0-321-27000-2
Stewart James 1941-;
Cálculo. ISBN: 978-85-221-2584-5 2o v.
Comments from the literature
A supporting text is available on the UC page on Moodle.
Teaching methods and learning activities
The content of the syllabus is presented at the lectures, and proposed exercises are solved by the students 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
Students are not required to attend classes.
Calculation formula of final grade
During the semester there will be two tests whose quotation sums 20. The second test will take place at the first exam season.
Course approval can be obtained
1) throught the tests.
2) in the final exam, to be held at the second 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.