# Mathematics for Social Sciences

**Human Resources Management and Organisational Behaviour**

5 ECTS; 1º Ano, 1º Semestre, 30,0 T + 30,0 PL + 15,0 OT

**Lecturer**

- Cristina Maria Mendes Andrade

**Prerequisites**

Not applicable

**Objectives**

1. Students will acquire knowledge in:

1.1. mathematical analysis

1.2. financial mathematics

1.3. linear algebra

2. will be provided with mathematical tools needed for problem-solving

3. will develop logical reasoning skills

**Program**

I - Mathematical Analysis

1. Basics of algebraic calculus

2. General considerations on real functions of a real variable

3. Differential calculus and its applications

4. Integral calculus and its applications

5. Basics of financial mathematics

II - Linear algebra

1. Basics of matrices and determinants

2. Algebra of matrices

3. Rouché theorem and linear equations systems resolution

**Evaluation Methodology**

Continuous assessment: T1 (0-5 val.)+ T2 (0-10 val.)+ T3 (0-5 val.) mandatory and all closed-book. Final assessment: one closed-book written test graded 0-20 covering all subject matters taught. (minimum pass mark: >10)

**Bibliography**

- Byleen, K. e Barnett, R. e Ziegler, M. (2011). *Calculus for Mathematics for Business, Economics, Life Sciences and Social Sciences*. USA: Pearson Education

- Hostetler, R. e Edwards, B. e Larson, R. (2006). *Cálculo*. Brasil: McGraw Hil

- Ferreira, M. e Amaral, I. (2009). *Exercícios de Primitivas e Integrais*. Lisboa: Edições Sílabo

**Method of interaction**

Conventional lectures and expository lessons. Practical classes focus on problem-solving fostering student involvement. Computer resolution of mathematical problems is provided as possible.

**Software used in class**