Functional Analysis
Cycle
Terceiro ciclo
Degree
Doutor
This path is an option of
Coordinator
Oleksiy Karlovych
Structure
| 1.º Semester | ||
| Code | Name | ECTS |
| 1.º Semester - Opção 1 | ||
| Code | Name | ECTS |
| Options | ||
| 9624 | Algebra Homotopic | 6.0 |
| 9623 | Universal Algebra | 6.0 |
| 9634 | Operator Algebras | 6.0 |
| 9635 | Calculus of Variations and Applications | 6.0 |
| 9636 | Complements of Functional Analysis and Operator Theory | 6.0 |
| 9739 | Algebra Complements | 6.0 |
| 9644 | Complements of Computational Complexity | 6.0 |
| 9645 | Logic Complements | 6.0 |
| 9628 | Complements on Rewriting Systems | 6.0 |
| 9629 | Complements of Semigroup Theory | 6.0 |
| 9639 | Integral and Differential Equations in Biology | 6.0 |
| 9642 | Geometry | 6.0 |
| 9643 | Introduction to holomorphic dynamics | 6.0 |
| 9630 | Matrices, Eigenvalues and Multiplicities | 6.0 |
| 9740 | Finite Element Method | 6.0 |
| 9641 | Mathematical and Numerical Methods in Fluid Mechanics | 6.0 |
| 9640 | Mathematical Methods in Continuum Mechanics | 6.0 |
| 9631 | Numerical Semigroups | 6.0 |
| 9638 | Homogenization Theory | 6.0 |
| 9632 | Graph Theory | 6.0 |
| 9646 | Topics in Mathematical Logic | 6.0 |
| 9633 | Topics of Semigroups | 6.0 |
| 9648 | Topics in the Theory of Computation | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
||
| 1.º Semester - Opção 2 | ||
| Code | Name | ECTS |
| Options | ||
| 9624 | Algebra Homotopic | 6.0 |
| 9623 | Universal Algebra | 6.0 |
| 9634 | Operator Algebras | 6.0 |
| 9635 | Calculus of Variations and Applications | 6.0 |
| 9636 | Complements of Functional Analysis and Operator Theory | 6.0 |
| 9739 | Algebra Complements | 6.0 |
| 9644 | Complements of Computational Complexity | 6.0 |
| 9645 | Logic Complements | 6.0 |
| 9628 | Complements on Rewriting Systems | 6.0 |
| 9629 | Complements of Semigroup Theory | 6.0 |
| 9639 | Integral and Differential Equations in Biology | 6.0 |
| 9642 | Geometry | 6.0 |
| 9643 | Introduction to holomorphic dynamics | 6.0 |
| 9630 | Matrices, Eigenvalues and Multiplicities | 6.0 |
| 9740 | Finite Element Method | 6.0 |
| 9641 | Mathematical and Numerical Methods in Fluid Mechanics | 6.0 |
| 9640 | Mathematical Methods in Continuum Mechanics | 6.0 |
| 9631 | Numerical Semigroups | 6.0 |
| 9638 | Homogenization Theory | 6.0 |
| 9632 | Graph Theory | 6.0 |
| 9646 | Topics in Mathematical Logic | 6.0 |
| 9633 | Topics of Semigroups | 6.0 |
| 9648 | Topics in the Theory of Computation | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
||
| 1.º Semester - Opção 3 | ||
| Code | Name | ECTS |
| Options | ||
| 9624 | Algebra Homotopic | 6.0 |
| 9623 | Universal Algebra | 6.0 |
| 9634 | Operator Algebras | 6.0 |
| 9635 | Calculus of Variations and Applications | 6.0 |
| 9636 | Complements of Functional Analysis and Operator Theory | 6.0 |
| 9739 | Algebra Complements | 6.0 |
| 9644 | Complements of Computational Complexity | 6.0 |
| 9645 | Logic Complements | 6.0 |
| 9628 | Complements on Rewriting Systems | 6.0 |
| 9629 | Complements of Semigroup Theory | 6.0 |
| 9639 | Integral and Differential Equations in Biology | 6.0 |
| 9642 | Geometry | 6.0 |
| 9643 | Introduction to holomorphic dynamics | 6.0 |
| 9630 | Matrices, Eigenvalues and Multiplicities | 6.0 |
| 9740 | Finite Element Method | 6.0 |
| 9641 | Mathematical and Numerical Methods in Fluid Mechanics | 6.0 |
| 9640 | Mathematical Methods in Continuum Mechanics | 6.0 |
| 9631 | Numerical Semigroups | 6.0 |
| 9638 | Homogenization Theory | 6.0 |
| 9632 | Graph Theory | 6.0 |
| 9646 | Topics in Mathematical Logic | 6.0 |
| 9633 | Topics of Semigroups | 6.0 |
| 9648 | Topics in the Theory of Computation | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
||
| 1.º Semester - Opção 4 | ||
| Code | Name | ECTS |
| Options | ||
| 9624 | Algebra Homotopic | 6.0 |
| 9623 | Universal Algebra | 6.0 |
| 9634 | Operator Algebras | 6.0 |
| 9635 | Calculus of Variations and Applications | 6.0 |
| 9636 | Complements of Functional Analysis and Operator Theory | 6.0 |
| 9739 | Algebra Complements | 6.0 |
| 9644 | Complements of Computational Complexity | 6.0 |
| 9645 | Logic Complements | 6.0 |
| 9628 | Complements on Rewriting Systems | 6.0 |
| 9629 | Complements of Semigroup Theory | 6.0 |
| 9639 | Integral and Differential Equations in Biology | 6.0 |
| 9642 | Geometry | 6.0 |
| 9643 | Introduction to holomorphic dynamics | 6.0 |
| 9630 | Matrices, Eigenvalues and Multiplicities | 6.0 |
| 9740 | Finite Element Method | 6.0 |
| 9641 | Mathematical and Numerical Methods in Fluid Mechanics | 6.0 |
| 9640 | Mathematical Methods in Continuum Mechanics | 6.0 |
| 9631 | Numerical Semigroups | 6.0 |
| 9638 | Homogenization Theory | 6.0 |
| 9632 | Graph Theory | 6.0 |
| 9646 | Topics in Mathematical Logic | 6.0 |
| 9633 | Topics of Semigroups | 6.0 |
| 9648 | Topics in the Theory of Computation | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
||
| 1.º Semester - Opção 5 | ||
| Code | Name | ECTS |
| Options | ||
| 9624 | Algebra Homotopic | 6.0 |
| 9623 | Universal Algebra | 6.0 |
| 9634 | Operator Algebras | 6.0 |
| 9635 | Calculus of Variations and Applications | 6.0 |
| 9636 | Complements of Functional Analysis and Operator Theory | 6.0 |
| 9739 | Algebra Complements | 6.0 |
| 9644 | Complements of Computational Complexity | 6.0 |
| 9645 | Logic Complements | 6.0 |
| 9628 | Complements on Rewriting Systems | 6.0 |
| 9629 | Complements of Semigroup Theory | 6.0 |
| 9639 | Integral and Differential Equations in Biology | 6.0 |
| 9642 | Geometry | 6.0 |
| 9643 | Introduction to holomorphic dynamics | 6.0 |
| 9630 | Matrices, Eigenvalues and Multiplicities | 6.0 |
| 9740 | Finite Element Method | 6.0 |
| 9641 | Mathematical and Numerical Methods in Fluid Mechanics | 6.0 |
| 9640 | Mathematical Methods in Continuum Mechanics | 6.0 |
| 9631 | Numerical Semigroups | 6.0 |
| 9638 | Homogenization Theory | 6.0 |
| 9632 | Graph Theory | 6.0 |
| 9646 | Topics in Mathematical Logic | 6.0 |
| 9633 | Topics of Semigroups | 6.0 |
| 9648 | Topics in the Theory of Computation | 6.0 |
O aluno deverá obter 6.0 créditos nesta opção. |
||
| 2.º Semester | ||
| Code | Name | ECTS |
| 9753 | Functional Analysis Seminar | 3.0 |
| Options | ||
| 9632 | Graph Theory | 6.0 |
| 2.º Year | ||
| Code | Name | ECTS |
| 9651 | Thesis on Functional Analysis | 147.0 |