Linear Algebra Applications (MAE629)
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General
| School |
School of Science |
|---|---|
| Academic Unit |
Department of Mathematics |
| Level of Studies |
Undergraduate |
| Course Code |
MAE629 |
| Semester |
6 |
| Course Title |
Linear Algebra Applications |
| Independent Teaching Activities |
Lectures, laboratory exercises (Weekly Teaching Hours: 3, Credits: 6) |
| Course Type |
Special Background |
| Prerequisite Courses | - |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students |
Yes |
| Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
| Learning outcomes |
The goal of the course is the study of applications of linear algebra to different sciences such as Economics, Sociology, Genetics, Physics. Using basic linear algebraic and probabilistic tools we create models which provide good estimates to real life problems related to the previously mentioned sciences. Among others we study the assignment model, applications to graph theory, Markov models, Game theory, Leontief model, Leslie model, Simplex method, applications to genetic, the least square method. |
|---|---|
| General Competences |
Studying and analysing particular models applying to real life problems the student is expected to master the skill of applying abstract mathematical tools. Independent and teamwork. Working in an interdisciplinary. |
Syllabus
- Mathematical models
- The assignment model
- Applications in graph theory
- Recursive methods
- Markov model
- Introduction to game theory
- Economical models
- Leslie model
- Applications to genetic
- Simplex method
- Least square method
Teaching and Learning Methods - Evaluation
| Delivery |
Classroom (face-to-face) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology | - | ||||||||||||
| Teaching Methods |
| ||||||||||||
| Student Performance Evaluation |
Written Examination, Oral Presentation, written assignments in Greek (in case of Erasmus students in English) which includes resolving application problems. |
Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:
- Νώντας Κεχαγιάς, Εφαρμογές Γραμμικής Άλγεβρας, Πανεπιστήμιο Ιωαννίνων, 2008. (http://users.uoi.gr/nkechag/efarmoges_ths_grammikhs_algebras.pdf)
- Howard Anton and Chris Rorres, Elementary Linear Algebra Application Version, 12 Edition.