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Algebraic Number Theory (ΑΛ4): Διαφορά μεταξύ των αναθεωρήσεων

Algebraic Number Theory (ΑΛ4): Διαφορά μεταξύ των αναθεωρήσεων

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[[Graduate Courses Outlines]] - [https://math.uoi.gr  Department of Mathematics]
* [[Αλγεβρική Θεωρία Αριθμών (ΑΛ4)|Ελληνική Έκδοση]]
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=== General ===
=== General ===
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! Learning outcomes
! Learning outcomes
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ΧΧΧ
The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic number theory.
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! General Competences
! General Competences
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ΧΧΧ
The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic number theory.
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|}


=== Syllabus ===
=== Syllabus ===


ΧΧΧ
Dedekind domains, norm, discriminant, finiteness of class number, Dirichlet unit theorem, quadratic and cyclotomic extensions, quadratic reciprocity, completions and local fields.


=== Teaching and Learning Methods - Evaluation ===
=== Teaching and Learning Methods - Evaluation ===
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! Delivery
! Delivery
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ΧΧΧ
Face-to-face
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! Use of Information and Communications Technology
! Use of Information and Communications Technology
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| -
ΧΧΧ
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! Teaching Methods
! Teaching Methods
Γραμμή 81: Γραμμή 82:
| 39
| 39
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| ΧΧΧ
| Study of theory
| 000
| 78
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| ΧΧΧ
| Solving of exercises
| 000
| 70.5
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| Course total  
| Course total  
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! Student Performance Evaluation
! Student Performance Evaluation
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ΧΧΧ
Written exam at the end of semester (obligatory) , problem solving or/and intermediate exams (optional).
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Τελευταία αναθεώρηση της 16:28, 15 Ιουνίου 2023

General

School School of Science
Academic Unit Department of Mathematics
Level of Studies Graduate
Course Code ΑΛ4
Semester 2
Course Title Algebraic Number Theory
Independent Teaching Activities Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type Special Background
Prerequisite Courses -
Language of Instruction and Examinations

Greek

Is the Course Offered to Erasmus Students Yes (in English)
Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic number theory.

General Competences

The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic number theory.

Syllabus

Dedekind domains, norm, discriminant, finiteness of class number, Dirichlet unit theorem, quadratic and cyclotomic extensions, quadratic reciprocity, completions and local fields.

Teaching and Learning Methods - Evaluation

Delivery

Face-to-face

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures 39
Study of theory 78
Solving of exercises 70.5
Course total 187.5
Student Performance Evaluation

Written exam at the end of semester (obligatory) , problem solving or/and intermediate exams (optional).

Attached Bibliography

  • Milne, James S., Algebraic Number Theory (v3.07), (2017). Available at www.jmilne.org/math/.
  • Jarvis Frazer, Algebraic Number Theory, Springer, 2014.
Ανακτήθηκε από «https://wiki.math.uoi.gr/index.php?title=Algebraic_Number_Theory_(ΑΛ4)&oldid=4659»