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Course outline

Credits and subjects

Degree subjects
Year	Compulsory	Core subjects	Core subjects from other areas	Optional subjects	FDP	Total
1	--	42	18	--	--	60
2	60	--	--	--	--	60
3	60	--	--	--	--	60
4	--	--	--	48	12	60
Total	120	42	18	48	12	240

Academic year 1 (Active)

Subjects Anual
Anual	Credits		Language	Prerequisites
Differential and Integral Calculus I	12	Basic area-subject	Spanish, Basque
General Physics	12	Basic area-subject	Spanish, Basque, English
Linear Algebra and Geometry I	12	Basic area-subject	Spanish, Basque

Subjects Semester 1
Semester 1	Credits		Language	Prerequisites
Basic Mathematics	6	Basic area-subject	Spanish, Basque
Introduction to Computation	6	Basic from other areas	Spanish, Basque

Subjects Semester 2
Semester 2	Credits		Language	Prerequisites
Descriptive Statistics	6	Basic from other areas	Spanish, Basque
Foundations of Programming	6	Basic from other areas	Spanish, Basque

Academic year 2 (Active)

Subjects Anual
Anual	Credits		Language	Prerequisites
Differential and Integral Calculus II	15	Compulsory	Spanish, Basque

Subjects Semester 1
Semester 1	Credits		Language	Prerequisites
Discrete Mathematics	6	Compulsory	Spanish, Basque, English
Linear Algebra and Geometry II	6	Compulsory	Spanish, Basque
Numerical Methods I	6	Compulsory	Spanish, Basque, English
Topology	6	Compulsory	Spanish, Basque

Subjects Semester 2
Semester 2	Credits		Language	Prerequisites
Algebraic Structures	6	Compulsory	Spanish, Basque, English
Curves and Surfaces	9	Compulsory	Spanish, Basque
Probability Calculus	6	Compulsory	Spanish, Basque, English

Academic year 3 (Active)

Subjects Anual
Anual	Credits		Language	Prerequisites
Differential Equations	12	Compulsory	Spanish, Basque

Subjects Semester 1
Semester 1	Credits		Language	Prerequisites
Commutative Algebra	6	Compulsory	Spanish, Basque, English
Complex Analysis	6	Compulsory	Spanish, Basque, English
Measure and Integration	6	Compulsory	Spanish, Basque, English
Statistical Inference	6	Compulsory	Spanish, Basque, English

Subjects Semester 2
Semester 2	Credits		Language	Prerequisites
Algebraic Equations	6	Compulsory	Spanish, Basque, English
Global Geometry of Curves and Surfaces	6	Compulsory	Spanish, Basque, English
Mathematical Modelling	6	Compulsory	Spanish, Basque
Numerical Methods II	6	Compulsory	Spanish, Basque

Academic year 4 (Active)

Subjects Anual
Anual	Credits		Language	Prerequisites
Trabajo Fin de Grado	12	Final year project		With pre-requirements

Subjects Semester 1
Semester 1	Credits		Language	Prerequisites
Advanced Numerical Methods	6	Elective	Spanish
Codes and Cryptography	6	Elective	Spanish, Basque
Functional Analysis	6	Elective	English
Groups and Representations	6	Elective	Spanish
Mathematical Programming	6	Elective	Spanish
Multivariate Analysis	6	Elective	Spanish, Basque
Partial Differential Equations	6	Elective	Spanish, Basque
Written Scientific-Technical Communication in Basque	6	Elective	Basque

Subjects Semester 2
Semester 2	Credits		Language	Prerequisites
Algebraic Geometry	6	Elective	English
Algorithm Design	6	Elective	Spanish
Differentiable Manifolds	6	Elective	Spanish
Extended Topology	6	Elective	Spanish
Number Theory	6	Elective	Spanish
Numerical Solutions for Differential Equations	6	Elective	English
Oral Scientific-Technical Communication in Basque	6	Elective	Basque
Probability and Stochastic Processes	6	Elective	Spanish, Basque