Introduction to Algebra

Course Information
TitleΕΙΣΑΓΩΓΗ ΣΤΗΝ ΑΛΓΕΒΡΑ ΚΑΙ ΣΤΗ ΘΕΩΡΙΑ ΑΡΙΘΜΩΝ / Introduction to Algebra
Code0102
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter/Spring
CommonNo
StatusActive
Course ID40000296

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

Registered students: 333
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course115.5

Class Information
Academic Year2015 – 2016
Class PeriodWinter
Faculty Instructors
Weekly Hours4
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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
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