Informações sobre o curso

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Nível avançado
Aprox. 27 horas para completar
Inglês
Legendas: Inglês
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível avançado
Aprox. 27 horas para completar
Inglês
Legendas: Inglês

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National Research University Higher School of Economics

Programa - O que você aprenderá com este curso

Semana
1

Semana 1

1 hora para concluir

Introduction

1 hora para concluir
2 vídeos (Total 4 mín.), 3 leituras
2 videos
Introduction to Galois Theory2min
3 leituras
About the University10min
Introduction/Manual10min
References10min
2 horas para concluir

Week 1

2 horas para concluir
6 vídeos (Total 84 mín.)
6 videos
1.2 Algebraic elements. Minimal polynomial.12min
1.3 Algebraic elements. Algebraic extensions.14min
1.4 Finite extensions. Algebraicity and finiteness.14min
1.5 Algebraicity in towers. An example.14min
1.6. A digression: Gauss lemma, Eisenstein criterion.13min
1 exercício prático
Quiz 140min
Semana
2

Semana 2

2 horas para concluir

Week 2

2 horas para concluir
5 vídeos (Total 67 mín.)
5 videos
2.2 Splitting field.11min
2.3 An example. Algebraic closure.14min
2.4 Algebraic closure (continued).15min
2.5 Extension of homomorphisms. Uniqueness of algebraic closure.11min
1 exercício prático
QUIZ 240min
Semana
3

Semana 3

4 horas para concluir

Week 3

4 horas para concluir
6 vídeos (Total 82 mín.), 1 leitura, 1 teste
6 videos
3.2 Properties of finite fields.14min
3.3 Multiplicative group and automorphism group of a finite field.15min
3.4 Separable elements.15min
3.5. Separable degree, separable extensions.15min
3.6 Perfect fields.9min
1 leituras
Ungraded assignment 12h
1 exercício prático
QUIZ 340min
Semana
4

Semana 4

2 horas para concluir

Week 4

2 horas para concluir
6 vídeos (Total 91 mín.)
6 videos
4.2 Tensor product of modules14min
4.3 Base change14min
4.4 Examples. Tensor product of algebras.15min
4.5 Relatively prime ideals. Chinese remainder theorem.14min
4.6 Structure of finite algebras over a field. Examples.16min
1 exercício prático
QUIZ 440min

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