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Five-year degree in Mathematics - 300 minimal credits

COMPLEMENTOS DE FORMACIÓN DESDE DIP.ESTADÍSTICA - 24 credits Subject Name Credits Type 12773 Numerical Approximation 7,5 Obligatory 12798 Classical Differential Geometry 9 Obligatory 12809 Numerical Methods for Linear Algebra 10,5 Obligatory   Primer Ciclo de Licenciado en Matemáticas - 180 credits Year 1 - 60 credits Subject Name Credits Type 12764 Linear Algebra 13,5 Core subject 12768 Single Variable Analysis 13,5 Core subject 12805 Computer Science 10,5 Core subject 12775 Mathematical Foundations 7,5 Obligatory 12829 Elementary Topology I 7,5 Obligatory Optional credits 7,5 Optional   Year 2 - 60 credits Subject Name Credits Type 12766 Multilinear Algebra 6 Core subject 12769 Multiple Variable Analysis 13,5 Core subject 12773 Numerical Approximation 7,5 Core subject 12776 Probability Calculus 9 Core subject 12797 Projective and related Geometry 7,5 Core subject 12830 Elementary Topology II 4,5 Core subject Optional credits 6 Optional Credits free option 6 Free option   Year 3 - 60 credits Subject Name Credits Type 12784 Ordinary Differential Equations 10,5 Core subject 12789 Mathematical statistics 9 Core subject 12798 Classical Differential Geometry 9 Core subject 12809 Numerical Methods for Linear Algebra 10,5 Core subject 12772 Vector Analysis 4,5 Obligatory Optional credits 9 Optional Credits free option 7,5 Free option   Segundo Ciclo de Licenciado en Matemáticas - 120 credits Year 4 - 60 credits Subject Name Credits Type 12761 Algebra 10,5 Core subject 6250 Functional analysis 6 Core subject 12777 Numerical Calculus 10,5 Core subject 12785 Partial Derivative Equations 7,5 Core subject 12828 Topology 4,5 Core subject 12831 Complex Analysis 9 Core subject 12832 Differential Manifolds 6 Core subject Optional credits 6 Optional   Year 5 - 60 credits Subject Name Credits Type Optional credits 43,5 Optional Credits free option 16,5 Free option

Optionals Primer Ciclo de Licenciado en Matemáticas - 22,5 credits 12774 Spherical Astronomy 12779 Real Analysis Supplements 12780 Numerical Approximation Supplements 12783 Numerical Algebra Domains 12786 Finite Difference Equations 12787 Elements of Algebra. Applications 12790 Geometric Structure of Space and Time 12795 Astronomy and Astrophysics Fundamentals 12796 Physics Fundamentals 12800 Low Dimension Geometry and Topology 12806 Mathematical Logic 12814 Linear Programming 12774 Spherical Astronomy 12779 Real Analysis Supplements 12780 Numerical Approximation Supplements 12783 Numerical Algebra Domains 12786 Finite Difference Equations 12787 Elements of Algebra. Applications 12790 Geometric Structure of Space and Time 12795 Astronomy and Astrophysics Fundamentals 12796 Physics Fundamentals 12800 Low Dimension Geometry and Topology 12806 Mathematical Logic 12814 Linear Programming 12774 Spherical Astronomy 12779 Real Analysis Supplements 12780 Numerical Approximation Supplements 12783 Numerical Algebra Domains 12786 Finite Difference Equations 12787 Elements of Algebra. Applications 12790 Geometric Structure of Space and Time 12795 Astronomy and Astrophysics Fundamentals 12796 Physics Fundamentals 12800 Low Dimension Geometry and Topology 12806 Mathematical Logic 12814 Linear Programming Segundo Ciclo de Licenciado en Matemáticas - 49,5 credits 9538 Elective Credits 9518 Elective Credits 9543 Elective Credits 12762 Commutative Algebra 12763 Homological Algebra 6201 Computational Linear Algebra 12767 Fourier Analysis 12771 Nonlinear Functional Analysis 12778 Functional Analysis Supplements 12781 Cosmology 12782 Dynamics of Stellar Systems 6310 Spatial and Environmental Statistics 14344 Philosophy of Mathematics 12792 Fluid Physics 12793 Preparatory Course for the Mathematics Degree 12794 Fractals 12799 Riemannian Geometry 12801 Lie Groups 12802 Singular Homology 6340 Bayesian Inference 6093 Inference and Decision 12732 Theoretical Mechanics 12808 Numerical Methods for Equations in Partial Derivatives 12810 Variational Methods for Elliptic Contour Problems 12811 Mathematical Models in Physics 6193 Probability and Stochastic Processes 6414 Linear Programming 6433 NonLinear Programming 12816 Relativity 12817 Group Representation and Characteristics 12818 Singularities of Differentiable Applications 12819 Dynamic systems. Qualitative Theory 12820 Observational Astrophysics Techniques 6528 Management Operating Techniques 12822 Theory of Distributions 12823 Theory of Functions 6540 Graph Theory 12825 Group Theory 12826 Demonstration Theory 12827 Measure Theory 12762 Commutative Algebra 12763 Homological Algebra 6201 Computational Linear Algebra 12767 Fourier Analysis 12771 Nonlinear Functional Analysis 12778 Functional Analysis Supplements 12781 Cosmology 12782 Dynamics of Stellar Systems 6310 Spatial and Environmental Statistics 14344 Philosophy of Mathematics 12792 Fluid Physics 12793 Preparatory Course for the Mathematics Degree 12794 Fractals 12799 Riemannian Geometry 12801 Lie Groups 12802 Singular Homology 6340 Bayesian Inference 6093 Inference and Decision 12732 Theoretical Mechanics 12808 Numerical Methods for Equations in Partial Derivatives 12810 Variational Methods for Elliptic Contour Problems 12811 Mathematical Models in Physics 6193 Probability and Stochastic Processes 6414 Linear Programming 6433 NonLinear Programming 12816 Relativity 12817 Group Representation and Characteristics 12818 Singularities of Differentiable Applications 12819 Dynamic systems. Qualitative Theory 12820 Observational Astrophysics Techniques 6528 Management Operating Techniques 12822 Theory of Distributions 12823 Theory of Functions 6540 Graph Theory 12825 Group Theory 12826 Demonstration Theory 12827 Measure Theory