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NUNO RAFAEL DE OLIVEIRA BASTOS. Recebeu 1 prémio(s) e/ou homenagens.
Identification

Personal identification

Full name
NUNO RAFAEL DE OLIVEIRA BASTOS

Citation names

  • BASTOS, NUNO
  • Nuno R. O. Bastos
  • N. R. O. Bastos

Author identifiers

Ciência ID
9511-2AB5-4F75
ORCID iD
0000-0003-1533-1075

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2012/02/12
Concluded
 Matemática (Doutoramento)
Universidade de Aveiro, Portugal
"Cálculo fraccional em escalas temporais" (THESIS/DISSERTATION)
 Aprovado
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2016 - Current Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Viseu Escola Superior de Tecnologia e Gestão de Viseu, Portugal
2016 - 2018 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Viseu Escola Superior de Tecnologia e Gestão de Viseu, Portugal
2013 - 2016 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Viseu Escola Superior de Tecnologia e Gestão de Viseu, Portugal
2013 - 2016 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Viseu Escola Superior de Tecnologia e Gestão de Viseu, Portugal
2002/05/15 - 2002/07/31 Invited Assistant (Polytechnic Teacher) Instituto Politécnico de Bragança Escola Superior de Tecnologia e Gestão, Portugal
2001/10/22 - 2002/02/28 Invited Assistant (Polytechnic Teacher) Instituto Politécnico de Bragança Escola Superior de Tecnologia e Gestão, Portugal
2001/02/20 - 2001/07/08 Tutor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
2000/10/18 - 2001/01/18 Tutor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
1999/11/25 - 2000/02/26 Tutor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Outputs

Publications

Book chapter
  1. Santos, Vanda; Bastos, Nuno R. O.. "Critical Thinking on Mathematics in Higher Education: Two Experiences". In Technology and Innovation in Learning, Teaching and Education, 156-167. Springer International Publishing, 2021.
    10.1007/978-3-030-73988-1_11
Conference paper
  1. Nuno Rafael O. Bastos. "IN-SERVICE MATH TEACHER TRAINING WORKSHOPS WITH TECHNOLOGY INTEGRATION: SOME EXAMPLES". Paper presented in EDULEARN21, 2021.
    10.21125/edulearn.2021.2515
  2. Nuno Rafael O. Bastos; Vanda Santos. "USING DIGITAL TOOLS TO ENHANCE ACTIVE METHODOLOGIES IN HIGHER EDUCATION". 2021.
    10.21125/edulearn.2021.2520
  3. Figueiredo, Maria; Matias, Rogério; Alves, Valter; Bastos, Nuno; Duarte, Rui Pedro; Ferreira, Bruno; Cunha, Carlos. "PROFESSIONAL DEVELOPMENT FOR HIGHER EDUCATION TEACHING STAFF: AN EXPERIENCE OF PEER LEARNING IN A PORTUGUESE POLYTECHNIC". 2020.
    10.21125/inted.2021.1270
  4. Almeida, Ricardo; Bastos, R. O. Nuno; Monteiro, M. Teresa T.. "An optimization method for the best fractional order to estimate real data analysis". 2015.
Journal article
  1. Bastos, Nuno R. O.. "Calculus of variations involving Caputo-Fabrizio fractional differentiation". Statistics, Optimization & Information Computing 6 1 (2018): http://dx.doi.org/10.19139/soic.v6i1.466.
    10.19139/soic.v6i1.466
  2. Almeida, Ricardo; Bastos, Nuno R. O.; Monteiro, M. Teresa T.. "A fractional Malthusian growth model with variable order using an optimization approach". Statistics, Optimization & Information Computing 6 1 (2018): http://dx.doi.org/10.19139/soic.v6i1.465.
    10.19139/soic.v6i1.465
  3. BASTOS, NUNO; Almeida, Ricardo. "A Discretization of the Hadamard fractional derivative". MATHEMATICAL SCIENCES AND APPLICATIONS E-NOTES 4 1 (2016): 31-39.
    Published
  4. Almeida, Ricardo; Bastos, Nuno R. O.; Monteiro, M. Teresa T.. "Modeling some real phenomena by fractional differential equations". Mathematical Methods in the Applied Sciences 39 16 (2015): 4846-4855. http://dx.doi.org/10.1002/mma.3818.
    10.1002/mma.3818
  5. Almeida, Ricardo; Bastos, Nuno R. O.. "A Numerical Method to Solve Higher-Order Fractional Differential Equations". Mediterranean Journal of Mathematics 13 3 (2015): 1339-1352. http://dx.doi.org/10.1007/s00009-015-0550-2.
    10.1007/s00009-015-0550-2
  6. BASTOS, NUNO; Almeida, Ricardo; Torres, Delfim F. M.. "A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives". International Journal of Difference Equations 9 1 (2014): 3-10.
    Published
  7. Bastos, N.R.O.; Ferreira, R.A.C.; Torres, D.F.M.. "Discrete-time fractional variational problems". Signal Processing 91 3 (2011): 513-524. http://www.scopus.com/inward/record.url?eid=2-s2.0-78049333168&partnerID=MN8TOARS.
    10.1016/j.sigpro.2010.05.001
  8. Bastos, N.R.O.; Ferreira, R.A.C.; Torres, D.F.M.. "Necessary optimality conditions for fractional difference problems of the calculus of variations". Discrete and Continuous Dynamical Systems 29 2 (2011): 417-437. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651241495&partnerID=MN8TOARS.
    10.3934/dcds.2011.29.417
  9. BASTOS, NUNO; Torres, Delfim F. M.. "Fractional derivatives and integrals on time scales via the inverse generalized Laplace transform". International Journal of Mathematics & Computation 11 11 (2011):
    Published
  10. BASTOS, NUNO; Torres, Delfim F. M.. "Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus". Commun. Frac. Calc 1 (2010): 41-47.
    Published
Newspaper article
  1. Almeida, Ricardo; Bastos, Nuno R.O.. "An approximation formula for the Katugampola integral", The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator. The formula only depends on first-order derivatives, and thus converts the fractional problem into a standard one. With some examples, we show the accuracy of the method, and then we present the , 2016, http://hdl.handle.net/10773/15021.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2020/11 - 2021/12 Era das Ferramentas Digitais na Sala de Aula de Matemática - Números Racionais
Supervisor of Paulo Eurico Adrega Lourenço
 Matemática para Professores (Master)
Universidade de Aveiro, Portugal
2020/10 - 2021/07/12 Aprendizagens Ativas no domínio das funções reais com recurso a ferramentas digitais
Co-supervisor of Maria Lucília Barros Dias
 Matemática para Professores (Master)
Universidade de Aveiro, Portugal
2020/10 - 2021/07/07 Volumes de Sólidos Geométricos - Aprendizagens Ativas com Recurso a Ferramentas Digitais
Supervisor of Daniel Joaquim Carvalho Machado
 Matemática para Professores (Master)
Universidade de Aveiro, Portugal
2019/09 - 2021/01/22 Arte Islâmica e o ensino da Geometria: um casamento perfeito
Co-supervisor of Paula Cristina Correia Santa Rita
 Matemática para Professores (Master)
Universidade de Aveiro, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2021/02/11 Estudo da Geometria do Círculo em Cursos de Educação e Formação para Adultos
(Thesis) Main arguer
 Alberto Alexandre dos Reis Cunha Taveira (Master)
Universidade de Aveiro, Portugal
2020/07/21 Avaliação diagnóstica em Matemática. Um instrumento online sobre as conceções de alunos de 5.o ano sobre o sinal de igual.
(Thesis) Main arguer
 António Manuel Mota Pereira Menino (Master)
Universidade de Aveiro, Portugal
2019/10/30 Uma abordagem ao Cálculo das Variações e Teoria de Controlo Ótimo
(Thesis) Main arguer
 Domingos Miguel Ilombo (Master)
Universidade de Aveiro, Portugal
2019/06/26 Condições necessárias e suficientes de otimalidade para funcionais dependendo de derivadas fracionárias de ordem variável
(Thesis) Main arguer
 Manuel Augusto Tomás Gomes (Master)
Universidade de Aveiro, Portugal
2016/12/22 Circo Matemático
(Thesis) Main arguer
 Luísa Maria Milheiro Lima Costa Marques (Master)
Universidade de Aveiro, Portugal
2015/12/18 MAGIA MATEMÁTICA COM NÚMEROS
(Thesis) Main arguer
 ILDA MARIA DA SILVA BASTOS (Master)
Universidade de Aveiro, Portugal
2015/07/06 MAGIA MATEMÁTICA COM CARTAS
(Thesis) Main arguer
 MARIA MANUELA CORREIA RODRIGUES (Master)
Universidade de Aveiro, Portugal
Distinctions

Other distinction

2015 Best Paper Award for the Signal Processing Journal