Course Information
TitleΘΕΩΡΙΑ ΑΡΙΘΜΩΝ / Number Theory
Code0136
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CommonNo
StatusActive
Course ID40002474

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 261
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationSpring-5.5

Class Information
Academic Year2019 – 2020
Class PeriodWinter
Instructors from Other Categories
Weekly Hours3
Class ID
600147628
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Examination)
Prerequisites
Required Courses
  • 0102 Introduction to Algebra
  • 0106 Algebraic Structures I
Learning Outcomes
With the successful fulfilled of the course the students get self-activation and increase their ability to solve complicate unknown problems.
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Adapt to new situations
  • Make decisions
  • Work autonomously
  • Generate new research ideas
  • Respect natural environment
  • Demonstrate social, professional and ethical commitment and sensitivity to gender issues
  • Be critical and self-critical
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Arithmetic Functions, Primary Decomposition, Polynomial Congruences, Primitive Roots, Quadratic Residues, Continuous Fractions, Diophantine Equations.
Keywords
Arithmetic Functions, Primary Decomposition, Polynomial Congruences, Primitive Roots, Quadratic Residues, Continuous Fractions, Diophantine Equations.
Educational Material Types
  • Notes
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures391.3
Reading Assigment1264.2
Total1655.5
Student Assessment
Description
Student Assessment methods
  • Written Exam with Multiple Choice Questions (Formative, Summative)
  • Written Exam with Short Answer Questions (Formative, Summative)
  • Written Exam with Extended Answer Questions (Formative, Summative)
  • Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Θεωρία αριθμών, Δ.Μ. Πουλάκης, ISBN: 960-431-429-7, ΖΗΤΗ, 1997 2. Μία Εισαγωγή στη Θεωρία Αριθμών, Δ. Δεριζιώτης, ISBN: 978-960-6706-44-8, ΣΟΦΙΑ, 2012 3. Θεωρία αριθμών, Π. Τσαγκάρης, ISBN: 978-960-266-143-7, ΑΘΑΝΑΣΟΠΟΥΛΟΣ, 2010 4. Θεωρία Αριθμών και Εφαρμογές, Ι.Αντωνιάδης, Α. Κοντογεώργης, ISBN: 978-618-82124-5-9, [ηλεκτρ. βιβλ.] Αθήνα:Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, ID Ευδόξου: 320067 5. Υπολογιστική Θεωρία Αριθμών, Δ. Πουλάκης, ISBN: 978-960-603-127-4, [ηλεκτρ. βιβλ.] Αθήνα:Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, ID Ευδόξου: 320067
Additional bibliography for study
J. Fraleigh, Eισαγωγή στην Άλγεβρα, Πανεπιστημιακές Εκδόσεις Κρήτης
Last Update
15-03-2020