Number Theory

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

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

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specialization535.5

Class Information
Academic Year2015 – 2016
Class PeriodWinter
Faculty Instructors
Class ID
600026385
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 (Instruction, Examination)
Prerequisites
Required Courses
  • 0102 Introduction to Algebra
  • 0106 Algebraic Structures I
  • 0107 Algebraic Structures II
Learning Outcomes
With the successful fullfilled of the course the students get self-activation and increase their ability to solve comlpicate 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)
Linear congruents modulo n. Systems of linear congruents . Euler function. Arithmetic multiplicative functions. Polynomial congruents, Diophantic equations. Pythagorean Triples. Fermat’s Theorem for n=4. Quadratic residues. Quadratic reciprocity low. Quadratic number fields. Unsolved problems.
Keywords
modn, congruents, arithmetic functions, quadtatic residues, quadratic reciprocity lows, Diophantic equations, quadratic number fields.
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures421.4
Tutorial130.4
Total551.8
Student Assessment
Description
Written examinations οf progress and final written examinations. Information is given during the first lecture.
Student Assessment methods
  • Written Exam with Multiple Choice Questions (Formative)
  • Written Exam with Short Answer Questions (Formative)
  • Written Assignment (Formative, Summative)
  • Written Exam with Problem Solving (Formative)
Bibliography
Course Bibliography (Eudoxus)
J. Fraleigh, Eισαγωγή στην Άλγεβρα, Πανεπιστημιακές Εκδόσεις Κρήτης
Additional bibliography for study
Θ. Θεοχάρη-Αποστολίδη, Θεωρία Αριθμών, Ηλεκτρονικές Σημειώσεις.
Last Update
19-09-2013