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Apllied Mathematics

Scholar Year: 2017/2018 - 1S

Code: EM21212    Acronym: MA
Scientific Fields: Ciências Base
Section/Department: DMAT - Mathematics Department

Courses

Acronym N. of students Study plan Curricular year ECTS Contact time Total Time
EM 74 6,0 60 162,0

Teaching weeks: 15

Head

TeacherResponsability
Patrícia Santos RibeiroHead

Weekly workload

Hours/week T TP P PL L TC THE EL OT OT/PL TPL S
Type of classes 4

Lectures

Type Teacher Classes Hours
Theorethical and Practical classes Totals 4 16,00
Patrícia Ribeiro   8,00

Teaching language

Portuguese

Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)

The objectives of the course "Applied Mathematics" consist in learning key areas of mathematics in understanding, modeling, prediction, identification and resolution of problems of general engineering and
mechanical engineering in particular, providing powerful tools for a less elementary approach of classical existing curricula in engineering.

Syllabus

1. Multiple Integrals
2. Differential equations
3. Series
4. Fourier series
5. Laplace and Fourier Transforms


Demonstration of the syllabus coherence with the UC intended learning outcomes

The basic concepts and their consolidation are presented before the presentation of more complex concepts.
The active participation of students in the classroom and the realization by them, outside of class, of
independent and regular work on the subjects taught is encouraged, inclusive of more advanced subjects such
as the research of recent scientific papers.
In order to better interact with the students, tools such as social networking platforms, e/b-learning platforms, web pages, e-mail, etc. are used.
The assessment is made by means of 4 partial mini-quizzes and 2 as partial tests or alternatively by a final exam.

Teaching methodologies

Avaliação distribuída com exame final

Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes

No more than 2 absences are allowed to participate in the continous evaluation:
4 mini-Tests (10% each one from the best 3);
2 Tests (35% each one).

Assessment methodologies and evidences

FM=0.3x(mT+mT+mT)+0.35x(T1+T2).

If FM=10 or FM>10 the student is aproved.

Assement and Attendance registers

Description Type Time (hours) End Date
Attendance (estimated)  Classes  0
  Total: 0

Bibliography

Resumos do Professor Artur Cruz do departamento de Matemática.
E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 10ª edição, 2011.
Sebenta Modular de vários autores do departamento de Matemática que se pode obter na página web da disciplina.
A. Azenha & M. A. Jerónimo, Elementos de cálculo diferencial e integral em IR e IR^n, McGraw Hill, 2006.
R. Larson, Calculus, 8ª Edição Vol. 2, McGraw-Hill, 2000.
Gabriel E. Pires, Cálculo diferencial e integral em IR^n, 2ª Edição, IST press, 2014.
T. M. Apostol, Calculus I e II, John Wiley & Sons, 1969.

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