Publication in the Diário da República: Aviso nº 3681/2017 - 07/04/2017
4 ECTS; 1º Ano, 1º Semestre, 15,0 T + 30,0 TP , Cód. 60163.
Lecturer
- José Manuel Borges Henriques Faria Paixão (2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Algebraic calculation skills.
Objectives
1. Provide the students with necessary tools for modeling and solving problems through models:
1.1. mathematicians;
1.2. financial;
1.3. Statistical.
2. Development of logical thinking ability, analytical and critical.
Program
I. BRIEF ANALYSIS OF MATHEMATICS CONCEPTS REAL
1.1. General information on the number systems
1.2. Polynomial expressions, fractional rational and irrational
1.3. Solving equations and inequalities
1.4. Systems of linear equations
1.5. Real function of real variable concept
1.6. Study of some algebraic functions (whole and fractional) and its applications
2. FINANCIAL MATH CONCEPTS
2.1. Brief notions of geometric progressions: general term and sum of the first n terms of a geometric progression
2.2. Simple interest, compound interest and interest compounded continuously
2.3. Savings and loans
3. DESCRIPTIVE STATISTICS
3.1. Preliminary considerations
3.1.1. Population and Sample
3.1.2. Stages of Statistical Method
3.1.3. Use of data and statistical inference
3.1.4. Examples of application of statistics
3.2. Data type
3.2.1. Qualitative data
3.2.2. Quantitative data: discrete and continuous
3.3. Frequency distribution and its graphical representation
3.4. Descriptive statistical measures
3.4.1. Location measures
3.4.2. Dispersion Measurements
3.5. Measures in order: asymmetry and flattening
Evaluation Methodology
It uses the same methodology in both frequency and time of the exam periods consisting of a written test, rated 0-20 values without consultation and on all matter taught during the semester.
Bibliography
- Armstrong, B. e Davis, D. e Armstrong, W. (2003). College Mathematics, Solving problems in finite mathematics and calculus. USA: Pearson Education
- Reis, E. (2009). Estatística Descritiva. Portugal: Edições Silabo
- Siegel, A. e Morgan, C. (1996). Statistics and Data Analysis: An Introduction. Study Guide Wiley International Edition. USA: John Wiley & Sons
Teaching Method
In the lectures introduce the concepts of an abstract point of view and then address to the respective applications. The practical classes are intended for problem solving encouraging the active participation by the students.
Software used in class
Not applicable
