# Introduction to Algebra

 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: 333
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course115.5

 Academic Year 2015 – 2016 Class Period Winter Faculty Instructors Weekly Hours 4 Class ID 600004642
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
Language of Instruction
• Greek (Instruction, Examination)
Learning Outcomes
Successful completion of the course offers the student knowledge of the basic consepts and structures of Algebra.
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, Ordering. Operations on a set. Natural numbers. Mathematical induction. Well ordering principle. Countable sets. Newton's binomial. Elements of combinatorial theory. Groups, Rings, Fields: definitions and examples. The ring of integers. Divisibility. Prime numbers. Euclidean algorithm. GCD, LCM. Fundamental theorem of arithmetic. Rings modulo n. Fields modulo p. Linear equivalences. Multiplicative functions.
Educational Material Types
• Notes
• Video lectures
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Communication with Students
Course Organization
Lectures
Tutorial
Total
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)
• 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
09-11-2015