Mathematics
Cycle
Primeiro ciclo
Degree
Licenciado
ECTS Coordinator
Júlia Maria Nunes Loureiro Vaz de Carvalho
Coordinator
Júlia Maria Nunes Loureiro Vaz de Carvalho
Opening date
September
Fees
1063,47 Euros/year or 7000,00 Euros/year (for foreign students).
Schedule
Daytime.
Education objectives
Mathematics is a science that underpins all scientific and technological areas, and also the Economics and Social Sciences.
The main objective of the course that now presents itself is to provide a sound basic training in mathematics, balanced in its various aspects, covering the areas of knowledge essential to the development in later cycles (2. And 3. Cycles) of advanced training. It is intended that this training provides the necessary basis for further studies in the area of Mathematics Education or in the area of Applied Mathematics.
As an example of areas in applied mathematics, to develop in later cycles, according to the specific skills of the faculty of the Mathematics Department of the FCT to mention: Actuarial; Algebra and Logic, Numerical Analysis and Differential Equations, Operational Research and Optimization, Probability and Statistics.
Statistics is the art of extracting information. It has applications, among others, market research, design and interpretation of experiences and Financial Mathematics. The Operational Research is aimed at creating models that allow the study of complex systems and optimal use of resources. The Actuarial Science aim to study the risk (life, accident risk, risk in the stock market). Differential Equations and its Numerical treatment are the foundation of modern physics and engineering, are still present in many biological processes and economic.
Algebra and Logic as core areas of mathematics are also largely responsible for the development of information and recent computational techniques.
Mathematics Education aims at training teachers for Basic and Secondary Education.
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Degree pre-requisites
Duration : 3 years
Credits : 180 ECTS
Scientific Area | Acronym | ECTS | |
Mandatory | Optional | ||
Transferable Skills | CC | 3 | |
Social Sciences and Humanities | CHS | 3 | |
Physics | F | 3 | |
Informatics | I | 6 | |
Mathematics | M | 135 | 24 |
Any Scientific Area | QAC | 6(a) | |
TOTAL | 150 | 30 |
(a) 6 ECTS in courses chosen by the student on a list approved annually by the Scientific Council of FCT / UNL, which includes the unity of all scientific areas of FCT /UNL
Access to other courses
Access to 2nd cycle
Evaluation rules
The following modes of evaluation are used with regard to academic qualifications:
- Evaluation based solely on an examination or completion of a final project.
- Evaluation based on work done throughout the semester excluding examination or final project. In these courses students can expect to carry out, for example, laboratory activities, mini-tests, tests, individual or group projects, seminar-related activities, any combination of which will be used to determine the final grade.
- Evaluation based obligatorily on an examination or a final project. In these courses there extists a form of evaluation similar to one of the aformentioned activities in paragraph 2 as well as a form of evaluation based on a final exam.
- Evaluation based on work done throughout the semester with the possibility of foregoing an examination or a final project.
Structure
1.º Semester | ||
Code | Name | ECTS |
10969 | Mathematical Analysis I A | 9.0 |
10970 | Linear Algebra I | 6.0 |
10971 | Introduction to Logic and Elementary Mathematics | 9.0 |
3622 | Introduction to Programming | 6.0 |
2.º Semester | ||
Code | Name | ECTS |
10972 | Mathematical Analysis II A | 6.0 |
10973 | Linear Algebra II | 9.0 |
10352 | Soft Skills for Science and Technology | 3.0 |
10974 | Geometry | 6.0 |
10975 | Probability and Statistics I | 6.0 |
3.º Semester | ||
Code | Name | ECTS |
10976 | Mathematical Analysis III A | 6.0 |
10979 | Numerical Analysis I | 6.0 |
10977 | Algebra I | 9.0 |
10978 | Probability and Statistics II | 9.0 |
4.º Semester | ||
Code | Name | ECTS |
10980 | Mathematical Analysis IV A | 6.0 |
10982 | Numerical Analysis II | 6.0 |
10981 | Algebra II | 6.0 |
10358 | Science, Technology and Society | 3.0 |
10942 | Introduction to Physics | 3.0 |
10983 | Linear Optimization | 6.0 |
5.º Semester | ||
Code | Name | ECTS |
7813 | Complex Analysis | 6.0 |
7814 | Differential equations | 6.0 |
3107 | Introduction to Operational Research | 6.0 |
7816 | Measure Integration and Probability | 6.0 |
10984 | Topology and Introduction to Functional Analysis | 6.0 |
6.º Semester | ||
Code | Name | ECTS |
6.º Semester - Opção A | ||
Code | Name | ECTS |
Options | ||
10986 | Computational Algebra | 3.0 |
10985 | Mathematics of Finance | 3.0 |
10987 | Introdução à Teoria de Conjuntos | 3.0 |
O aluno deverá obter 3.0 créditos nesta opção. |
6.º Semester - Opção B1 | ||
Code | Name | ECTS |
Options | ||
3121 | Applied Statistics | 6.0 |
10837 | Differential Geometry | 6.0 |
10988 | Introduction to Calculus of Variations | 6.0 |
10836 | Introduction to Algebraic Geometry and Applications | 6.0 |
10839 | Introduction to Graph Theory | 6.0 |
10838 | Introduction to Number Theory | 6.0 |
7818 | Analytical Mechanics | 6.0 |
7820 | Systems Modelling | 6.0 |
3120 | Stochastic Processes | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
6.º Semester - Opção B2 | ||
Code | Name | ECTS |
Options | ||
3121 | Applied Statistics | 6.0 |
10837 | Differential Geometry | 6.0 |
10988 | Introduction to Calculus of Variations | 6.0 |
10836 | Introduction to Algebraic Geometry and Applications | 6.0 |
10839 | Introduction to Graph Theory | 6.0 |
10838 | Introduction to Number Theory | 6.0 |
7818 | Analytical Mechanics | 6.0 |
7820 | Systems Modelling | 6.0 |
3120 | Stochastic Processes | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
6.º Semester - Opção B3 | ||
Code | Name | ECTS |
Options | ||
3121 | Applied Statistics | 6.0 |
10837 | Differential Geometry | 6.0 |
10988 | Introduction to Calculus of Variations | 6.0 |
10836 | Introduction to Algebraic Geometry and Applications | 6.0 |
10839 | Introduction to Graph Theory | 6.0 |
10838 | Introduction to Number Theory | 6.0 |
7818 | Analytical Mechanics | 6.0 |
7820 | Systems Modelling | 6.0 |
3120 | Stochastic Processes | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
6.º Semester - Opção PIIC/PIPP | ||
Code | Name | ECTS |
Options | ||
10601 | Undergraduate Research Opportunity Program | 3.0 |
10600 | Undergraduate Practice Opportunities Program | 3.0 |
O aluno deverá obter 3.0 créditos nesta opção. |
6.º Semester - Unidade Curricular do Bloco Livre | ||
Code | Name | ECTS |
Options | ||
11066 | Electives | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |