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Mathematics for Social Sciences

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Publication in the Diário da República: Despacho nº 1887/2016 - 05/02/2016

5 ECTS; 1º Ano, 1º Semestre, 30,0 T + 30,0 PL + 15,0 OT , Cód. 964042.

Lecturer
- Cristina Maria Mendes Andrade (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

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. If in the sum of T1 + T2 the students who obtain between 7.5 and 9.4 (7.5<=T1+T2<=9.4), they can still take a 3rd test (0-3 val.) Students who commit fraud will be excluded from the evaluation process. 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
- Ferreira, M. e Amaral, I. (2009). Exercícios de Primitivas e Integrais. Lisboa: Edições Sílabo
- Hostetler, R. e Edwards, B. e Larson, R. (2006). Cálculo. Brasil: McGraw Hil
- Manuel, F. (2016). Álgebra Linear, Matrizes e Determinantes. (Vol. 1). Lisboa: Edições Sílabo

Teaching Method
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
Geogebra

 

 

 


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