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Bachelor in Mathematics

Official Study Plan

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1st Year

1st Semester
Code	Acronym	Name	Obs.	Credits
M1010	M1010	Linear Algebra and Analytic Geometry I		9
M1011	M1011	Real Analysis I		9
M1024	M1024	Topics in Elementary Mathematics		9
M1025	M1025	Mathematical Laboratory		3

2nd Semester
Code	Acronym	Name	Obs.	Credits
M1028	M1028	Geometry		6
CC1015	CC1015	Programming I		6
M1036	M1036	Linear Algebra and Analytic Geometry II		9
M1037	M1037	Real Analysis II		9

2nd Year

1st Semester
Code	Acronym	Name	Obs.	Credits
M2032	M2032	Algebra		9
M2018	M2018	Numerical Analysis		6
M2033	M2033	Real Analysis III		9

2nd Semester
Code	Acronym	Name	Obs.	Credits
M2008	M2008	Complex Analysis		6
M2034	M2034	Probability and Statistics		9
M2035	M2035	Differential Equations		9

3rd Year

1st Semester
Code	Acronym	Name	Obs.	Credits
		Option (M)
		ll	(1)

2nd Semester
Code	Acronym	Name	Obs.	Credits
		Option (M)
		ll	(1)

No Period
Code	Acronym	Name		Obs.	Credits
		Option (M)

Comments:

(1) A realizar de entre o catálogo das Competências Transversais e/ou oferta de 1.º Ciclo da UPorto, mediante validação prévia pela Comissão Científica do ciclo de estudos.

Type of Classification: OFICIAL

Course units belonging to the academic fields defined in the active curricular structure(s) in the current academic year

Computer Science

Transversal/Transferable Skills

Personal Development

Physics

Mathematics

Mathematics or any other area of a FCUP minor

Any Scientific Area of UPorto

Unidades curriculares pertencentes a áreas científicas não definidas na(s) estrutura(s) curricular(es) ativa(s) neste ano letivo

Agronomy

Astronomy

Biology

Agrarian Sciences

Surveying Engineering

Geology

Chemistry

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Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Computer Science	Complementary Formation Centered in Mathematics	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation Centered in Mathematics	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation Centered in Mathematics	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation Centered in Mathematics	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation Centered in Mathematics	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation Centered in Mathematics	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation Centered in Mathematics	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Agronomy	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Agronomy	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Agronomy	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Agronomy	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Agronomy	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Agronomy	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Agronomy	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Astronomy	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Astronomy	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Astronomy	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Astronomy	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Astronomy	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Astronomy	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Astronomy	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Biology	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Biology	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Biology	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Biology	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Biology	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Biology	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Biology	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Physics	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Physics	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Physics	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Physics	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Physics	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Physics	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Physics	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Geology	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Geology	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Geology	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Geology	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Geology	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Geology	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Geographic Information	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Geographic Information	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Geographic Information	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Geographic Information	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Geographic Information	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Geographic Information	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Geographic Information	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Informatics	CC3015	CC3015	Systems Administration	6
Computer Science	Complementary Formation in Informatics	CC2002	CC2002	Computer Architecture	6
Computer Science	Complementary Formation in Informatics	CC3034	CC3034	Software Architecture	6
Computer Science	Complementary Formation in Informatics	CC2005	CC2005	Databases	6
Computer Science	Complementary Formation in Informatics	CC3001	CC3001	Compilers	6
Computer Science	Complementary Formation in Informatics	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Informatics	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Informatics	CC1001	CC1001	Discrete Structures	6
Computer Science	Complementary Formation in Informatics	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Informatics	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Informatics	CC3006	CC3006	Human-Machine Interfaces	6
Computer Science	Complementary Formation in Informatics	CC1002	CC1002	Introduction to Computers	6
Computer Science	Complementary Formation in Informatics	CC2003	CC2003	Computational Logic	6
Computer Science	Complementary Formation in Informatics	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Informatics	CC3003	CC3003	Decision Support Methods	6
Computer Science	Complementary Formation in Informatics	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Informatics	CC1022	CC1022	Programming II	6
Computer Science	Complementary Formation in Informatics	CC1003	CC1003	Imperative Programming	6
Computer Science	Complementary Formation in Informatics	CC3012	CC3012	Programming in Logic	6
Computer Science	Complementary Formation in Informatics	CC3002	CC3002	Communication Networks	6
Computer Science	Complementary Formation in Informatics	CC3013	CC3013	Multimedia Systems	6
Computer Science	Complementary Formation in Informatics	CC2004	CC2004	Operating Systems	6
Computer Science	Complementary Formation in Informatics	CC3007	CC3007	Software Tools and Applications	6
Computer Science	Complementary Formation in Informatics	CC3008	CC3008	Web Technologies	6
Computer Science	Complementary Formation in Chemistry	CC3004	CC3004	Computability and Complexity	6
Computer Science	Complementary Formation in Chemistry	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Complementary Formation in Chemistry	CC1007	CC1007	Data Structures	6
Computer Science	Complementary Formation in Chemistry	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Complementary Formation in Chemistry	CC1004	CC1004	Computational Models	6
Computer Science	Complementary Formation in Chemistry	CC1005	CC1005	Functional Programming	6
Computer Science	Complementary Formation in Chemistry	CC3002	CC3002	Communication Networks	6
Computer Science	Mathematics	CC3015	CC3015	Systems Administration	6
Computer Science	Mathematics	CC2002	CC2002	Computer Architecture	6
Computer Science	Mathematics	CC3034	CC3034	Software Architecture	6
Computer Science	Mathematics	CC2005	CC2005	Databases	6
Computer Science	Mathematics	CC3001	CC3001	Compilers	6
Computer Science	Mathematics	CC3004	CC3004	Computability and Complexity	6
Computer Science	Mathematics	CC2001	CC2001	Algorithm Design and Analysis	6
Computer Science	Mathematics	CC1001	CC1001	Discrete Structures	6
Computer Science	Mathematics	CC1007	CC1007	Data Structures	6
Computer Science	Mathematics	CC2006	CC2006	Artificial Intelligence	6
Computer Science	Mathematics	CC3006	CC3006	Human-Machine Interfaces	6
Computer Science	Mathematics	CC1002	CC1002	Introduction to Computers	6
Computer Science	Mathematics	CC2003	CC2003	Computational Logic	6
Computer Science	Mathematics	CC1004	CC1004	Computational Models	6
Computer Science	Mathematics	CC3003	CC3003	Decision Support Methods	6
Computer Science	Mathematics	CC1005	CC1005	Functional Programming	6
Computer Science	Mathematics	CC1022	CC1022	Programming II	6
Computer Science	Mathematics	CC3012	CC3012	Programming in Logic	6
Computer Science	Mathematics	CC3002	CC3002	Communication Networks	6
Computer Science	Mathematics	CC3013	CC3013	Multimedia Systems	6
Computer Science	Mathematics	CC2004	CC2004	Operating Systems	6
Computer Science	Mathematics	CC3007	CC3007	Software Tools and Applications	6
Computer Science	Mathematics	CC3008	CC3008	Web Technologies	6
Computer Science		CC1015	CC1015	Programming I	6	Yes

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Physics	Complementary Formation Centered in Mathematics	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation Centered in Mathematics	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation Centered in Mathematics	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation Centered in Mathematics	F1006	F1006	Mechanics	6
Physics	Complementary Formation Centered in Mathematics	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation Centered in Mathematics	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Agronomy	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Agronomy	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Agronomy	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Agronomy	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Agronomy	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Agronomy	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Astronomy	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Astronomy	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Astronomy	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Astronomy	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Astronomy	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Astronomy	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Biology	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Biology	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Biology	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Biology	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Biology	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Biology	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Physics	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Physics	FIS1007	FIS1007	Physics I	6
Physics	Complementary Formation in Physics	FIS2003	FIS2003	Modern Physics	6	Yes
Physics	Complementary Formation in Physics	FIS2001	FIS2001	Thermal Physics	6	Yes
Physics	Complementary Formation in Physics	FIS1005	FIS1005	Physics Laboratory I	6	Yes
Physics	Complementary Formation in Physics	FIS2004	FIS2004	Physics Laboratory II	6
Physics	Complementary Formation in Physics	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Physics	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Physics	FIS2002	FIS2002	Waves and Continuous Media	6	Yes
Physics	Complementary Formation in Geology	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Geology	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Geology	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Geology	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Geology	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Geology	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Geographic Information	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Geographic Information	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Geographic Information	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Geographic Information	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Geographic Information	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Geographic Information	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Informatics	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Informatics	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Informatics	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Informatics	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Informatics	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Informatics	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Complementary Formation in Chemistry	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Complementary Formation in Chemistry	FIS2003	FIS2003	Modern Physics	6
Physics	Complementary Formation in Chemistry	FIS2001	FIS2001	Thermal Physics	6
Physics	Complementary Formation in Chemistry	F1006	F1006	Mechanics	6
Physics	Complementary Formation in Chemistry	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Complementary Formation in Chemistry	FIS2002	FIS2002	Waves and Continuous Media	6
Physics	Mathematics	FIS1004	FIS1004	Eletromagnetism I	6
Physics	Mathematics	FIS1007	FIS1007	Physics I	6
Physics	Mathematics	FIS2003	FIS2003	Modern Physics	6
Physics	Mathematics	FIS2001	FIS2001	Thermal Physics	6
Physics	Mathematics	FIS1005	FIS1005	Physics Laboratory I	6
Physics	Mathematics	FIS2004	FIS2004	Physics Laboratory II	6
Physics	Mathematics	F1006	F1006	Mechanics	6
Physics	Mathematics	FIS3003	FIS3003	Quantum Mechanics I	6
Physics	Mathematics	FIS2002	FIS2002	Waves and Continuous Media	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Mathematics	Complementary Formation Centered in Mathematics	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation Centered in Mathematics	M3033	M3033	Fourier Analysis and Partial Differential Equations	6
Mathematics	Complementary Formation Centered in Mathematics	M3002	M3002	Digital Signal Processing and Analysis	6
Mathematics	Complementary Formation Centered in Mathematics	M3025	M3025	Automata	3
Mathematics	Complementary Formation Centered in Mathematics	M3026	M3026	Combinatorics and Graphs	6
Mathematics	Complementary Formation Centered in Mathematics	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation Centered in Mathematics	M3034	M3034	Supplements of Algebra	6
Mathematics	Complementary Formation Centered in Mathematics	M3027	M3027	Elements of Topology and Analysis	6
Mathematics	Complementary Formation Centered in Mathematics	M3035	M3035	Applied Statistics	6
Mathematics	Complementary Formation Centered in Mathematics	M3007	M3007	Differential Geometry	6
Mathematics	Complementary Formation Centered in Mathematics	M3036	M3036	Groups and Lie algebras	6
Mathematics	Complementary Formation Centered in Mathematics	M3028	M3028	History of Mathematics	6
Mathematics	Complementary Formation Centered in Mathematics	M3029	M3029	Introduction to Dynamical Systems	3
Mathematics	Complementary Formation Centered in Mathematics	M3037	M3037	Introdução à Teoria da Representação	3
Mathematics	Complementary Formation Centered in Mathematics	M3009	M3009	Logic and Foundations	6
Mathematics	Complementary Formation Centered in Mathematics	M3012	M3012	Mathematical Methods in the Sciences	6
Mathematics	Complementary Formation Centered in Mathematics	M3030	M3030	Optimization	6
Mathematics	Complementary Formation Centered in Mathematics	M3038	M3038	Projeto em Matemática	6
Mathematics	Complementary Formation Centered in Mathematics	M3014	M3014	Simulation and Stochastic Processes	6
Mathematics	Complementary Formation Centered in Mathematics	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation Centered in Mathematics	M3031	M3031	Systems Theory and Control	6
Mathematics	Complementary Formation Centered in Mathematics	M3024	M3024	Numerical Linear Algebra	6
Mathematics	Complementary Formation in Agronomy	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Agronomy	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Agronomy	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Astronomy	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Astronomy	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Astronomy	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Biology	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Biology	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Biology	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Physics	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Physics	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Physics	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Geology	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Geology	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Geology	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Geographic Information	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Geographic Information	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Geographic Information	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Informatics	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Informatics	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Informatics	M3032	M3032	Number Theory and Criptography	6
Mathematics	Complementary Formation in Chemistry	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Complementary Formation in Chemistry	M3004	M3004	Complements of Geometry	6
Mathematics	Complementary Formation in Chemistry	M3032	M3032	Number Theory and Criptography	6
Mathematics	Mathematics	M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics	Mathematics	M3033	M3033	Fourier Analysis and Partial Differential Equations	6
Mathematics	Mathematics	M3002	M3002	Digital Signal Processing and Analysis	6
Mathematics	Mathematics	M3025	M3025	Automata	3
Mathematics	Mathematics	M3026	M3026	Combinatorics and Graphs	6
Mathematics	Mathematics	M3004	M3004	Complements of Geometry	6
Mathematics	Mathematics	M3027	M3027	Elements of Topology and Analysis	6
Mathematics	Mathematics	M3007	M3007	Differential Geometry	6
Mathematics	Mathematics	M3036	M3036	Groups and Lie algebras	6
Mathematics	Mathematics	M3028	M3028	History of Mathematics	6
Mathematics	Mathematics	M3029	M3029	Introduction to Dynamical Systems	3
Mathematics	Mathematics	M3009	M3009	Logic and Foundations	6
Mathematics	Mathematics	M3012	M3012	Mathematical Methods in the Sciences	6
Mathematics	Mathematics	M3030	M3030	Optimization	6
Mathematics	Mathematics	M3014	M3014	Simulation and Stochastic Processes	6
Mathematics	Mathematics	M3032	M3032	Number Theory and Criptography	6
Mathematics	Mathematics	M3031	M3031	Systems Theory and Control	6
Mathematics	Mathematics	M3024	M3024	Numerical Linear Algebra	6
Mathematics		M2007	M2007	Algorithms in Discrete Mathematics	6
Mathematics		M2008	M2008	Complex Analysis	6	Yes
Mathematics		M2018	M2018	Numerical Analysis	6	Yes
Mathematics		M1011	M1011	Real Analysis I	9	Yes
Mathematics		M1037	M1037	Real Analysis II	9	Yes
Mathematics		M2033	M2033	Real Analysis III	9	Yes
Mathematics		M3033	M3033	Fourier Analysis and Partial Differential Equations	6
Mathematics		M3002	M3002	Digital Signal Processing and Analysis	6
Mathematics		M3025	M3025	Automata	3
Mathematics		M3026	M3026	Combinatorics and Graphs	6
Mathematics		M3004	M3004	Complements of Geometry	6
Mathematics		M3034	M3034	Supplements of Algebra	6
Mathematics		M3027	M3027	Elements of Topology and Analysis	6
Mathematics		M2035	M2035	Differential Equations	9	Yes
Mathematics		M3035	M3035	Applied Statistics	6
Mathematics		M1028	M1028	Geometry	6	Yes
Mathematics		M3007	M3007	Differential Geometry	6
Mathematics		M3036	M3036	Groups and Lie algebras	6
Mathematics		M3028	M3028	History of Mathematics	6
Mathematics		M3029	M3029	Introduction to Dynamical Systems	3
Mathematics		M3037	M3037	Introdução à Teoria da Representação	3
Mathematics		M1025	M1025	Mathematical Laboratory	3	Yes
Mathematics		M3009	M3009	Logic and Foundations	6
Mathematics		M3012	M3012	Mathematical Methods in the Sciences	6
Mathematics		M3030	M3030	Optimization	6
Mathematics		M2034	M2034	Probability and Statistics	9	Yes
Mathematics		M3038	M3038	Projeto em Matemática	6
Mathematics		M3014	M3014	Simulation and Stochastic Processes	6
Mathematics		M3032	M3032	Number Theory and Criptography	6
Mathematics		M3031	M3031	Systems Theory and Control	6
Mathematics		M1024	M1024	Topics in Elementary Mathematics	9	Yes
Mathematics		M2032	M2032	Algebra	9	Yes
Mathematics		M3024	M3024	Numerical Linear Algebra	6
Mathematics		M1010	M1010	Linear Algebra and Analytic Geometry I	9	Yes
Mathematics		M1036	M1036	Linear Algebra and Analytic Geometry II	9	Yes

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Agronomy	Complementary Formation in Agronomy	AGR1001	AGR1001	Agriculture I	6	Yes
Agronomy	Complementary Formation in Agronomy	AGR1003	AGR1003	Agriculture II	6	Yes
Agronomy	Complementary Formation in Agronomy	AGR1002	AGR1002	Physiological Basis of Animal Production	6	Yes
Agronomy	Complementary Formation in Agronomy	AGR1004	AGR1004	Physiological Basis of Plant Production	6	Yes
Agronomy	Complementary Formation in Agronomy	AGR2001	AGR2001	Fundamentals of Crop Protection	6
Agronomy	Complementary Formation in Agronomy	AGR3004	AGR3004	General Fruit Growing	6
Agronomy	Complementary Formation in Agronomy	AGR3001	AGR3001	General Horticulture	6
Agronomy	Complementary Formation in Agronomy	AGR3002	AGR3002	General Viticulture	6
Agronomy	Complementary Formation in Agronomy	AGR3005	AGR3005	General Zootechnics	6
Agronomy	Mathematics	AGR1001	AGR1001	Agriculture I	6
Agronomy	Mathematics	AGR1003	AGR1003	Agriculture II	6
Agronomy	Mathematics	AGR1002	AGR1002	Physiological Basis of Animal Production	6
Agronomy	Mathematics	AGR1004	AGR1004	Physiological Basis of Plant Production	6
Agronomy	Mathematics	AGR2001	AGR2001	Fundamentals of Crop Protection	6
Agronomy	Mathematics	AGR3004	AGR3004	General Fruit Growing	6
Agronomy	Mathematics	AGR3001	AGR3001	General Horticulture	6
Agronomy	Mathematics	AGR3002	AGR3002	General Viticulture	6
Agronomy	Mathematics	AGR3005	AGR3005	General Zootechnics	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Astronomy	Complementary Formation in Astronomy	AST3001	AST3001	Observational Astronomy	6	Yes
Astronomy	Complementary Formation in Astronomy	AST3007	AST3007	Computational Astronomy	6	Yes
Astronomy	Complementary Formation in Astronomy	AST3003	AST3003	Observational Cosmology	6	Yes
Astronomy	Complementary Formation in Astronomy	AST2001	AST2001	Stars	6	Yes
Astronomy	Complementary Formation in Astronomy	AST3005	AST3005	Fluids and Plasmas in Astrophysics	6
Astronomy	Complementary Formation in Astronomy	AST1001	AST1001	Fundamentals of Astronomy	6	Yes
Astronomy	Complementary Formation in Astronomy	AST2002	AST2002	Galaxies	6	Yes
Astronomy	Complementary Formation in Astronomy	AST3010	AST3010	Radiative processes in astrophysics	6
Astronomy	Mathematics	AST3001	AST3001	Observational Astronomy	6
Astronomy	Mathematics	AST3007	AST3007	Computational Astronomy	6
Astronomy	Mathematics	AST3003	AST3003	Observational Cosmology	6
Astronomy	Mathematics	AST2001	AST2001	Stars	6
Astronomy	Mathematics	AST1001	AST1001	Fundamentals of Astronomy	6
Astronomy	Mathematics	AST2002	AST2002	Galaxies	6

Courses

Bachelor in Mathematics

Official Study Plan

Options M or FCOMP (2nd year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Agronomy (2nd year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Option M/FIS/CC - 2º Ano S1/S2 - Qdsº 1, 2 e 3

Option of Physics (Table 15A)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Computer Science -2nd year (Table 21)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Chemistry (2nd year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options M or FCOMP (3st year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Agronomy (3st year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Biology (Qd 13)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Geology (Table 17)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Option M/FIS/CC - 2º Ano S1/S2 - Qdsº 1, 2 e 3

Option M - 3º Ano S1/S2- Qds 1 e 4

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Astronomy (Table 11)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Option of Physics (Table 15B)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Geographic Engineering (Table 19)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Computer Science- 3st year (Table 21)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Options in Chemistry (3st year)

Option M/FIS/CC - S1/S2- Qdsº 1, 2 e 3

Option (M)

ll

Type of Classification: OFICIAL

Course units belonging to the academic fields defined in the active curricular structure(s) in the current academic year

Unidades curriculares pertencentes a áreas científicas não definidas na(s) estrutura(s) curricular(es) ativa(s) neste ano letivo

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Biology	Complementary Formation in Biology	BIOL1002	BIOL1002	Animal Biology	6	Yes
Biology	Complementary Formation in Biology	BIOL1001	BIOL1001	Molecular and Cellular Biology	6	Yes
Biology	Complementary Formation in Biology	BIOL2003	BIOL2003	Human Biology	6
Biology	Complementary Formation in Biology	BIOL1003	BIOL1003	Plant Biology	6	Yes
Biology	Complementary Formation in Biology	BIOL1004	BIOL1004	General Ecology	6	Yes
Biology	Complementary Formation in Biology	BIOL2001	BIOL2001	General Physiology	6	Yes
Biology	Complementary Formation in Biology	BIOL1005	BIOL1005	Plant Physiology	6
Biology	Complementary Formation in Biology	BIOL2002	BIOL2002	General Genetics	6	Yes
Biology	Complementary Formation in Biology	BIOL1006	BIOL1006	Microbiology	6
Biology	Complementary Formation in Biology	BIOL2004	BIOL2004	Food Microbiology	6
Biology	Complementary Formation in Biology	BIOL3001	BIOL3001	General Toxicology	6
Biology	Mathematics	BIOL1002	BIOL1002	Animal Biology	6
Biology	Mathematics	BIOL1001	BIOL1001	Molecular and Cellular Biology	6
Biology	Mathematics	BIOL2003	BIOL2003	Human Biology	6
Biology	Mathematics	BIOL1003	BIOL1003	Plant Biology	6
Biology	Mathematics	BIOL1004	BIOL1004	General Ecology	6
Biology	Mathematics	BIOL2001	BIOL2001	General Physiology	6
Biology	Mathematics	BIOL1005	BIOL1005	Plant Physiology	6
Biology	Mathematics	BIOL2002	BIOL2002	General Genetics	6
Biology	Mathematics	BIOL1006	BIOL1006	Microbiology	6
Biology	Mathematics	BIOL2004	BIOL2004	Food Microbiology	6
Biology	Mathematics	BIOL3001	BIOL3001	General Toxicology	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Agrarian Sciences	Complementary Formation in Agronomy	CAGR2008	CAGR2008	Organic Farming	6
Agrarian Sciences	Mathematics	CAGR2008	CAGR2008	Organic Farming	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Surveying Engineering	Complementary Formation in Geographic Information	EGEO3004	EGEO3004	Cartography	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO3003	EGEO3003	Remote Sensing	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO1001	EGEO1001	Fundamentals of Geographic Information	6
Surveying Engineering	Complementary Formation in Geographic Information	EGEO3001	EGEO3001	Satellite Location	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO2001	EGEO2001	Satellite Earth Observation	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO3005	EGEO3005	Oceanography	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO2003	EGEO2003	Geospatial Positioning	6
Surveying Engineering	Complementary Formation in Geographic Information	EGEO3002	EGEO3002	Geographic Information System	6	Yes
Surveying Engineering	Complementary Formation in Geographic Information	EGEO2002	EGEO2002	Surveiyng	6
Surveying Engineering	Mathematics	EGEO3004	EGEO3004	Cartography	6
Surveying Engineering	Mathematics	EGEO3003	EGEO3003	Remote Sensing	6
Surveying Engineering	Mathematics	EGEO1001	EGEO1001	Fundamentals of Geographic Information	6
Surveying Engineering	Mathematics	EGEO3001	EGEO3001	Satellite Location	6
Surveying Engineering	Mathematics	EGEO2001	EGEO2001	Satellite Earth Observation	6
Surveying Engineering	Mathematics	EGEO3005	EGEO3005	Oceanography	6
Surveying Engineering	Mathematics	EGEO3002	EGEO3002	Geographic Information System	6
Surveying Engineering	Mathematics	EGEO2002	EGEO2002	Surveiyng	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Geology	Complementary Formation in Geology	GEOL1003	GEOL1003	Elements of Structural Geology	6	Yes
Geology	Complementary Formation in Geology	GEOL2002	GEOL2002	Stratigraphy and Paleontology	6	Yes
Geology	Complementary Formation in Geology	GEOL1001	GEOL1001	Geodynamics	6	Yes
Geology	Complementary Formation in Geology	GEOL3007	GEOL3007	Geology of Portugal	6
Geology	Complementary Formation in Geology	GEOL3005	GEOL3005	Geomorphology	6
Geology	Complementary Formation in Geology	GEOL3002	GEOL3002	Geochemistry	6
Geology	Complementary Formation in Geology	GEOL3001	GEOL3001	Computing in Geology	6
Geology	Complementary Formation in Geology	GEOL2001	GEOL2001	Mineralogy and General Petrology	6	Yes
Geology	Complementary Formation in Geology	GEOL1002	GEOL1002	Methods in Geological Cartography	6	Yes
Geology	Complementary Formation in Geology	GEOL3003	GEOL3003	Geological Heritage	6
Geology	Complementary Formation in Geology	GEOL2003	GEOL2003	Metamorphic Petrology	6
Geology	Complementary Formation in Geology	GEOL2004	GEOL2004	Sedimentary Petrology and Pedology	6
Geology	Complementary Formation in Geology	GEOL1004	GEOL1004	Igneous Petrology	6
Geology	Complementary Formation in Geology	GEOL3004	GEOL3004	Geological Resources	6
Geology	Complementary Formation in Geology	GEOL3006	GEOL3006	Geological Risks	6
Geology	Mathematics	GEOL1003	GEOL1003	Elements of Structural Geology	6
Geology	Mathematics	GEOL2002	GEOL2002	Stratigraphy and Paleontology	6
Geology	Mathematics	GEOL1001	GEOL1001	Geodynamics	6
Geology	Mathematics	GEOL3007	GEOL3007	Geology of Portugal	6
Geology	Mathematics	GEOL3005	GEOL3005	Geomorphology	6
Geology	Mathematics	GEOL3002	GEOL3002	Geochemistry	6
Geology	Mathematics	GEOL3001	GEOL3001	Computing in Geology	6
Geology	Mathematics	GEOL2001	GEOL2001	Mineralogy and General Petrology	6
Geology	Mathematics	GEOL1002	GEOL1002	Methods in Geological Cartography	6
Geology	Mathematics	GEOL3003	GEOL3003	Geological Heritage	6
Geology	Mathematics	GEOL2003	GEOL2003	Metamorphic Petrology	6
Geology	Mathematics	GEOL2004	GEOL2004	Sedimentary Petrology and Pedology	6
Geology	Mathematics	GEOL1004	GEOL1004	Igneous Petrology	6
Geology	Mathematics	GEOL3004	GEOL3004	Geological Resources	6
Geology	Mathematics	GEOL3006	GEOL3006	Geological Risks	6

Keyword	Branch	Code	Acronym	Name	Credits	Mandatory
Chemistry	Complementary Formation in Chemistry	Q1002	Q1002	Fundamentals of Chemistry	6	Yes
Chemistry	Complementary Formation in Chemistry	Q2001	Q2001	Introduction to Analytical Process	6	Yes
Chemistry	Complementary Formation in Chemistry	Q3003	Q3003	Introduction to Chemistry of Materials	6
Chemistry	Complementary Formation in Chemistry	Q2005	Q2005	Analytical Chemistry Laboratory	3
Chemistry	Complementary Formation in Chemistry	Q2006	Q2006	Physical Chemistry Laboratory	3
Chemistry	Complementary Formation in Chemistry	Q1005	Q1005	General Chemistry Laboratory	3
Chemistry	Complementary Formation in Chemistry	Q1003	Q1003	Chemistry Laboratory I	6
Chemistry	Complementary Formation in Chemistry	Q1006	Q1006	Chemistry Laboratory II	3
Chemistry	Complementary Formation in Chemistry	Q2003	Q2003	Inorganic Chemistry Laboratory	3
Chemistry	Complementary Formation in Chemistry	Q2002	Q2002	Organic Chemistry Laboratory	3
Chemistry	Complementary Formation in Chemistry	Q3006	Q3006	Environmental Chemistry	6
Chemistry	Complementary Formation in Chemistry	Q3002	Q3002	Biological Chemistry	6
Chemistry	Complementary Formation in Chemistry	Q2009	Q2009	Physical Chemistry	6
Chemistry	Complementary Formation in Chemistry	Q2004	Q2004	Inorganic Chemistry	6
Chemistry	Complementary Formation in Chemistry	Q3004	Q3004	Biological Inorganic Chemistry	6
Chemistry	Complementary Formation in Chemistry	Q3001	Q3001	Nuclear Chemistry and Radiochemistry	6
Chemistry	Complementary Formation in Chemistry	Q1001	Q1001	Organic Chemistry I	6	Yes
Chemistry	Complementary Formation in Chemistry	Q2007	Q2007	Food Chemistry and Nutrition	6
Chemistry	Complementary Formation in Chemistry	Q3005	Q3005	Sample Collection and Processing	6
Chemistry	Complementary Formation in Chemistry	Q3007	Q3007	Thermodynamics of Industrial Processes	6
Chemistry	Mathematics	Q1002	Q1002	Fundamentals of Chemistry	6
Chemistry	Mathematics	Q2001	Q2001	Introduction to Analytical Process	6
Chemistry	Mathematics	Q3003	Q3003	Introduction to Chemistry of Materials	6
Chemistry	Mathematics	Q2005	Q2005	Analytical Chemistry Laboratory	3
Chemistry	Mathematics	Q2006	Q2006	Physical Chemistry Laboratory	3
Chemistry	Mathematics	Q1005	Q1005	General Chemistry Laboratory	3
Chemistry	Mathematics	Q1003	Q1003	Chemistry Laboratory I	6
Chemistry	Mathematics	Q1006	Q1006	Chemistry Laboratory II	3
Chemistry	Mathematics	Q2003	Q2003	Inorganic Chemistry Laboratory	3
Chemistry	Mathematics	Q2002	Q2002	Organic Chemistry Laboratory	3
Chemistry	Mathematics	Q3006	Q3006	Environmental Chemistry	6
Chemistry	Mathematics	Q3002	Q3002	Biological Chemistry	6
Chemistry	Mathematics	Q2009	Q2009	Physical Chemistry	6
Chemistry	Mathematics	Q2004	Q2004	Inorganic Chemistry	6
Chemistry	Mathematics	Q3004	Q3004	Biological Inorganic Chemistry	6
Chemistry	Mathematics	Q3001	Q3001	Nuclear Chemistry and Radiochemistry	6
Chemistry	Mathematics	Q1001	Q1001	Organic Chemistry I	6
Chemistry	Mathematics	Q2007	Q2007	Food Chemistry and Nutrition	6
Chemistry	Mathematics	Q3005	Q3005	Sample Collection and Processing	6
Chemistry	Mathematics	Q3007	Q3007	Thermodynamics of Industrial Processes	6