Title ΕΙΣΑΓΩΓΗ ΣΤΗΝ ΑΛΓΕΒΡΑ ΚΑΙ ΣΤΗ ΘΕΩΡΙΑ ΑΡΙΘΜΩΝ / Introduction to Algebra Code 0102 Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Common No Status Active Course ID 40000296

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

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course115.5

 Academic Year 2019 – 2020 Class Period Spring Instructors from Other Categories Paraskevas Alvanos 39hrs Weekly Hours 3 Class ID 600147662
Type of the Course
• Background
• General Knowledge
• Scientific Area
• Skills Development
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)
Learning Outcomes
Upon successful completion of the course, students should have - Understand the basic concepts of Mathematical Structures - Understand the basic concepts of Number Theory - solves Algebra's computational and theoretical problems - solves computational and theoretical problems of Number Theory
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Work autonomously
• Appreciate diversity and multiculturality
• 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)
Sets, Functions. Equivalence relations and order relations. Operations in a set. The set of natural numbers. Mathematical Induction. Principle of good order. Countable sets. Newton's identities. Groups, Ring Bodies: Definitions and Examples. The ring of integers. Divisibility. Prime numbers. The Euclidean Algorithm. GCD, LCM. Fundamental theorem of number theory. The ring of modn congruences. The Zp field. Linear congruences. Multiplicative functions.
Keywords
Sets, functions, relations, natural numbers, mathematical induction, divisibility, linear congruences, multiplicative functions.
Educational Material Types
• Notes
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Communication with Students
Course Organization
Lectures391.3
Tutorial260.9
Exams30.1
Total1655.5
Student Assessment
Description
Written final examination
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)
Ε. Ψωμόπουλου, Εισαγωγλη στην Άλγεβρα, Εκδ. Ζήτη Δ. Πουλάκης, Άλγεβρα, Εκδ. Ζήτη Κ. Κάλφα, Εισαγωγή στην Άλγεβρα, Εκδόσεις Ζήτη
Last Update
31-08-2019