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Mathematics III

Mathematics III

Code	16475
Year	2
Semester	S1
ECTS Credits	6
Workload	TP(60H)
Scientific area	Mathematics
Entry requirements	Not Applicable
Mode of delivery	Face to face.
Work placements	Not applicable.
Learning outcomes	This curricular unit aims to provide and develop student’s capacity for logical thinking, understanding and use methods and knowledge of mathematical analysis to allow its application in solving problems. At the end of the course the student should be able to identify, classify, analyze and solve differential equations. The student must know the concept of numerical series and power series and learn applications of these concepts. It should also be able to classify and solve difference equations.
Syllabus	1. Series 2. Difference equation. 3. Systems of Difference equation. 4. Z Transform. 5. Ordinary differential equations; 6. Systems of linear differential equations 7. Laplace Transform 8. Applications to the economy
Main Bibliography	Main Bibliography -Stewart, James, (2016), Calculus, (EUA: Cengage Learning) -Sydsaeter, Knut; Hammond, Peter & Strom, Arne, (2012), Essential Mathematics for Economic Analysis, (RU: Pearson Education Limited). -Bradley, Teresa & Patton, Paul (2003), Essential Mathematics for Economics and Business, (EUA: John Wiley and Sons) -Pires, Cesaltina, (2010), Cálculo para Economia e Gestão, Escolar Editora. -Biivar, A, Equações diferenciais. Uma introdução. Faculdade de Ciências de Lisboa. 2ª Edição, 2000. - Ferreira, J. Campos, Introdução à Análise Matemática , Fundação Caloust Gulbenkian, 1997.
Language	Portuguese. Tutorial support is available in English.