Cursos / 1º Ciclo / Faculty of Economy and Business Management :: Marketing
MATEMÁTICAS GERAIS - 2023/2024
1º curricular year
Semestralidade: 1st semester
ECTS: 6
Teachers
Leading Teacher: Prof. Doutor Paulo Aguiar
Assistant Professor: Prof. Doutor Paulo Aguiar
Class type and School hours
Orientação Tutorial : 1 Horas
Teórico-prática : 2 Horas
Teaching Language
Portuguese
Main Aims/Objectives
We aim at:
a) Equipping the students with the mathematical techniques and concepts that are indispensable for the understanding of the subjects treated in other courses of the degree;
b) Assuring the understanding of the basic quantitative concepts and techniques in the areas of management and marketing;
c) Promoting the necessary skills to use mathematics in an effective manner in order to solve "real problems";
d) Promoting the development of reasoning and problem solution skills in general.
Specific Aims/Objectives
We aim at equipping the students with the elementary concepts and techniques of one variable differential calculus, with focus on the most relevant aspects for the areas of management and marketing and elementary concepts of functions of several variables, including partial differentiation. It is intended that the students understand and handle with ease some elementary aspects of financial mathematics, such as percentage, indexes and compound interest and also elementary notions of time series.
Skills to be acquired
By the end of the course the student should be capable of:
a) Working with functions of one real variable;
b) Working with exponentials and logarithms;
b) Applying his or her knowledge of differential calculus to solve practical problems, particularly optimization problems;
d) Understanding the elementary concepts of functions of two or more variables;
e) Applying knowledge of time series to make projections and assess their validity.
Teaching Procedures
The contents are presented following an expository methodology. When appropriate, texts are made available that further develop the subjects. The student is presented with problems that he or she must solve, being assisted during the tutorials.
Programme
I. Functions of one real variable
1. Linear equations and lines
2. Simultaneous linear equations and applications
3. Quadratic functions
4. Other functions
5. Exponentials and logarithms
II. A little financial mathematics
1. Percentages and indexes
2. Compound interest
III. Differential calculus
1. Introduction to derivatives
2. Differentiation rules
3. Elasticity
4. Application to the study of functions and optimization
IV. Functions of several variables
1. Level curves
2. Partial derivatives
V. Time series
1. Introduction to time series
2. Forecasting with moving averages
3. Quantifying the forecasting errors
4. Forecasting with exponential smoothing
5. Models for time series
Evaluation Type
The Continuous Assessment is based on 2 written tests each containing complementary parts of the program. If the written tests are to be carried out online on the Moodle platform, students who obtain a grade higher than 12.0 on the online platform will need to take an oral test that will more accurately assess their knowledge. All those who do not intend to take this oral exam, will get 12 in this exam. Each test will last for 50 minutes.
Teaching Resources
The didactic resources that should be available to the students are the books in the course bibliography and room for study, individually and in small groups.
The proposed exercises and other relevant content will be placed on the Moodle platform. This platform may come to be used in online examinations.
In the assessment students will be able to use scientific and non-graphing calculators.
Sustainability Objectives
Keywords
Mathematics
Calculus
Functions
Quantitative Methods
Main Bibliography
Author | Hoffmann, Laurence; Bradley, Gerald; Sobecki, Davi |
---|---|
Title | Cálculo: Um Curso Moderno e Suas Aplicações |
Edition | 11.ª edição |
Place | Rio de Janeiro |
Editor | LTC |
Year | 2015 |
Author | Jacques, Ian |
Title | Mathematics for Economics and Business |
Edition | 8ª edição |
Place | Harlow, England |
Editor | Pearson |
Year | 2015 |
Author | Swift, Louise; Piff, Sally |
Title | Quantitative Methods: for business, management and |
Edition | 4ª edição |
Place | Basingstoke, England |
Editor | Palgrave MacMillan |
Year | 2014 |
Complementary Bibliography
Author | Dewhurst, Frank |
---|---|
Title | Quantitative Methods for Business and Management |
Edition | 2ª ed. |
Place | Maidenhead, England |
Editor | McGraw-Hill |
Year | 2006 |
Author | Wisniewski, Mik |
Title | Quantitative Methods for Decision Makers |
Edition | 6.ª edição |
Place | Harlow, England |
Editor | Pearson |
Year | 2016 |