Faculdade de Ciências e Tecnologia

Mathematics

Cycle

Primeiro ciclo

Degree

Licenciado

Coordinator

Jorge Orestes Lasbarrères Cerdeira

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 / UNLwhich 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:

  1. Evaluation based solely on an examination or completion of a final project.
  2. 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.
  3. 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.
  4. 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 Introduction to Set Theory 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.