Title  ΜΑΘΗΜΑΤΙΚΟΣ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ / Mathematical Programming 
Code  0501 
Faculty  Sciences 
School  Mathematics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Common  No 
Status  Active 
Course ID  40000519 
Programme of Study: UPS of School of Mathematics (2014today)
Registered students: 588
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Compulsory Course  2  1  5.5 
Academic Year  2019 – 2020 
Class Period  Spring 
Instructors from Other Categories 

Weekly Hours  3 
Class ID  600147718

Type of the Course
 Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600147718
 eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=10905
Language of Instruction
 Greek (Instruction, Examination)
Prerequisites
Required Courses
 0102 Introduction to Algebra
 0201 Calculus I
General Prerequisites
Elements of Linear Algebra
Elementary Calculus
Learning Outcomes
Upon successful completion of the course students will:
1. have understood the importance of mathematical models in solving optimization problems.
2. Can model elementary linear and nonlinear (dynamic) problems.
3. Apply the Simplex method to solve linear problems.
4. Solve elementary dynamic programming problems such as: Elementary Transportation and Assignment problems, Tool Replacement, and MinimumCost Network Flow Problems.
General Competences
 Apply knowledge in practice
 Retrieve, analyse and synthesise data and information, with the use of necessary technologies
 Make decisions
 Design and manage projects
 Advance free, creative and causative thinking
Course Content (Syllabus)
Mathematical models. Linear programming. Graphical solution and
graphical analysis of the sensitivity of the linear model. Simplex method. Introduction to Integer Programming. Transportation problem. Principles of dynamical programming. Nonlinear methods of optimization. Applications.
Keywords
Linear programming, Simplex method, Dynamical programming.
Educational Material Types
 Notes
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Course Teaching
Description
Learning basic knowledge of the theory of mathematical programming.
Learning how to model linear problems.
Solving linear problems using the Simplex method.
Solving problems using Dynamic Programming techniques.
Practising to modelling by applying tools of mathematical programming.
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  39  1.3  ✓  
Reading Assigment  123  4.1  ✓  
Exams  3  0.1  ✓  
Total  165  5.5 
Student Assessment
Description
Written examination
Student Assessment methods
 Written Exam with Extended Answer Questions (Formative, Summative)
 Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
 Εισαγωγή στην Επιχειρησιακή Ερευνα : Αλγόριθμοι & Εφαρμογές, Ν. Τσάντας, Π.Χ. Γ. Βασιλείου, Ζήτη, 2000.
 Γραμμικός Προγραμματισμός : Θεωρία και ασκήσεις, Σ. Κουνιάς, Δ. Φακίνος, Ζήτη, 1999.
Additional bibliography for study
 Linear Programming: J. P. Ignizio, T. M. Cavalier, Prentice Hall, 1994
Last Update
15032020