Mathematics III

Academic Year: 2016/2017 2nd Semester Instructor(s): Susana Torrado - sro@ucp.pt

Course Description:

The discipline of Mathematics III allow the students of 1º Semester in 2º year of

the Economy and Management courses, instruments of integration calculus as

well as concepts of differential equations and equations with differences. _____________________________________________________________________________ Course Content:

1. Integration.

2. Definite integrals and plane areas.

3. Indefinite integrals.

4. Double integrals. Polar coordinates and others change of coordinates.

5. Differential equations of first order.

6. Differential equations of n order. Linear equation.

7. Difference equations. Linear equation.

_____________________________________________________________________________ Course Objectives:

The discipline’s goal of Mathematics III allow the students of 1º Semester in 2º

year of the Economy and Management courses, instruments of integration

calculus as well as concepts of differential equations and equations with

differences, basic so they can follow disciplines of the Degree (Microeconomics

II and Finances I), the Masters (Globalization and Growth, Advanced

Macroeconomics, Financial Derivatives, Risk Management and Financial

Investments) and to do investigation in Company Administration Sciences that

involve more advanced mathematical requirements.

_____________________________________________________________________________ Grading:

Two Tests – T1, T2

1. If T1 + T2 ≥ 19.00 with T1 ≥ 6.00 and T2 ≥ 6.00 → Approved

2. If 13.00 ≤ T1 + T2 < 19.00 or

T1 + T2 ≥ 19.00 with T1 < 6.00 or T2 < 6.00 → Exame

3. If T1 + T2 < 13.00 → Not Approved

4. If missed T1 and T2 ≥ 8.50 → Exame

If missed T1 and T2 < 8.50 → Not Approved

5. If missed T2 and T1 ≥ 9.00 → Exame

If missed T2 and T1 < 9.00 → Not Approved

_____________________________________________________________________________ Bibliography:

1. The workbook of Mathematics III.

2. “Matemática – Primitivas e integrais”, Manuel Ferreira e Isabel Amaral. Edições Sílabo.

3. “Matemática – Integrais múltiplos e equações diferenciais”, Manuel Ferreira e Isabel Amaral. Edições Sílabo.

4. “Problemas e exercícios de Análise Matemática”, B. Demidovitch. Escolar Editora.

5. “Cálculo” – Simmons – McGraw-Hill.

6. “Problemas de equações diferenciais ordinárias” – M. L. Krasnov; A. I. Kiseliov; G.I. Makarenko – McGraw-Hill.

7. “Equações com diferenças – Aplicações em problemas de Finanças, Economia, Sociologia e Antropologia” – Manuel Ferreira e Rui Menezes. Edições Sílabo.

_____________________________________________________________________________ Biography:

_____________________________________________________________________________ Contact(s) and Office hours: Susana Torrado - sro@ucp.pt

_____________________________________________________________________________