Title  Μαθηματικά στην Πολιτική Επιστήμη: Εισαγωγή / Mathematics in Political Science: An Introduction 
Code  ΚΥ0206 
Faculty  Economic and Political Sciences 
School  Political Sciences 
Cycle / Level  1st / Undergraduate 
Teaching Period  Winter 
Coordinator  Ioannis Andreadis 
Common  No 
Status  Active 
Course ID  100001047 
Programme of Study: UPS School of Political Sciences (2014today)
Registered students: 400
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Compulsory Course  1  1  5 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors 

Weekly Hours  3 
Total Hours  39 
Class ID  600145308

Class Schedule
Building  Αμφιθέατρο ΝΟΕ 
Floor  Ισόγειο 
Hall  ΑΙΘΟΥΣΑ Α (155) 
Calendar  Παρασκευή 09:00 έως 12:00 
Building  Αμφιθέατρο ΝΟΕ 
Floor  Όροφος 1 
Hall  ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ A (158) 
Calendar  Παρασκευή 10:00 έως 12:00 
Type of the Course
 Background
 General Knowledge
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600145308
 At the Website of the School: http://www.polsci.auth.gr/el/polsci/5221
 eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=10277
Language of Instruction
 Greek (Instruction, Examination)
Learning Outcomes
Objectives of the course is that students gain the following capabilities:
Ability to understand and apply an algorithm.
Ability to calculate the probability so that they can take political decisions based on real facts
Ability to reach useful conclusions using the results of the elections. (method of bounds)
Ability to abstract complex relationships and find the solution with the help of graph theory.
Ability to study social networks and analyze network effects on the formation of political views.
General Competences
 Apply knowledge in practice
 Retrieve, analyse and synthesise data and information, with the use of necessary technologies
 Make decisions
 Work autonomously
 Work in teams
 Work in an interdisciplinary team
 Be critical and selfcritical
 Advance free, creative and causative thinking
Course Content (Syllabus)
The course explores introductory concepts, algorithms and examples from probability theory, combinatorial theory (combinatorics), graph theory and set theory including relations and functions in sets.
With regard to combinatorial theory, the course examines the techniques of enumeration (enumerative combinatorics), the concepts of combinations, and permutations with or without repetitions.
With regard to probability theory, the course examines the concepts of probability and conditional probability. For graph theory, the course explores concepts, definitions, properties and algorithms with emphasis on planar and connected graphs.
The course also offers descriptions of the relations determined by finite sets and interpretations of the functions and graphic representations defined by them.
Keywords
Elecoral law, Algorithms, Combinatorics, Discrete Probability, Graphs
Educational Material Types
 Slide presentations
 Interactive excersises
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Course Teaching
 Use of ICT in Communication with Students
 Use of ICT in Student Assessment
Description
Use of laptop and projector: For example, using spreadsheets to implement electoral systems.
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  40  1.5  ✓  
Laboratory Work  30  1.1  ✓  
Reading Assigment  40  1.5  ✓  
Tutorial  28  1.0  ✓  
Total  138  5.0 
Student Assessment
Description
Students need to have a 12digit calculator (using your mobile phone as calculator is not permitted) and their book with them which they can consult during the exams to solve problems similar to those in the book. All exam items have equal weight (e.g. if there are 4 items, each item correspond to 2.5 points).
If there are assignments or exercises during the semester, participation in them is optional and the final grade of those who do not participate depends only on the grade of their final exams (i.e. if they have answered all the questions correctly, final their grade will be equal to 10). Any participation in assignments or exercises in the final grade of those who participate in them is communicated to the participants and depends on the level of difficulty and the quality of the tasks and exercises involved.
Student Assessment methods
 Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Χατζηπαντελής, Θ, & Ι. Ανδρεάδης, Μαθηµατικά στις Πολιτικές Επιστήµες, Εκδόσεις Ζήτη, 2005.
Aγγελής, E. και Γ. Mπλέρης, ∆ιακριτά µαθηµατικά, Tζιόλα,2003.
Additional bibliography for study
Aldous, J. M. και R. J. Wilson, Graphs and Applications: An Introductory Approach, Springer Verlag, 2000.
Biggs, N. L., Discrete Mathematics (αναθεωρηµένη έκδοση),Oxford Science Publications, 1990.
Grinstead, C. M. και J. L. Snell, Introduction to Probability (δεύτερη αναθεωρηµένη έκδοση), American Mathematical Society, 1997.
Paulos, J.Α., A Mathematician Reads the Newspaper, Turtleback BooksDemco Media, 1996.
Last Update
03102019