LINEAR ALGEBRA
| Title | ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ / LINEAR ALGEBRA |
| Code | NCO-01-03 |
| Faculty | Sciences |
| School | Informatics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Konstantinos Draziotis |
| Common | No |
| Status | Active |
| Course ID | 40002910 |
Programme of Study: PPS-Tmīma Plīroforikīs (2019-sīmera)
Registered students: 460
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 1 | 1 | 5 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600176678
|
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600176678
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=6448
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Cognitive: the cognitive goals of the course are the students to organize the fundamental knowledge of elementary Mathematics and to obtain new knowledge and get acquainted with new principles of linear algebra which are utilized in all branches of Computer Science.
Skills: students understand in depth basic notions of Mathematics which are necessary in many procedures, implementations and applications of computational and communications systems.
General Competences
- Apply knowledge in practice
- Adapt to new situations
- Make decisions
- Work autonomously
Course Content (Syllabus)
Linear systems of equations. Matrix operations. Inverse Matrix. Gaussian Elimination. Vectos spaces and subspaces. Linear dependence and indepedence.Base of vector space and dimension. Linear maps. Gram-Schmidt process. Determinants and inverse matrix. Eigenvalues and eigenvectors. Diagonalization of a matrix. Cayley-Hamilton Theorem, SVD.
Keywords
Matrices, Vector spaces, Linear maps, Linear systems of equations, Determinant, eigenvectors-eigenvalules, Cayley-Hamilton theorem, SVD
Educational Material Types
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | ✓ | |||
| Reading Assigment | 65 | ✓ | |||
| Exams | 3 | ✓ | |||
| Literature Study | 30 | ✓ | |||
| Total | 150 |
Student Assessment
Description
Written exams
Bibliography
Course Bibliography (Eudoxus)
1. Γραμμική Άλγεβρα 5η Έκδοση, Lipschutz Seymour,Lipson Marc Lars Λεπτομέρειες
2. ΜΙΑ ΕΙΣΑΓΩΓΗ ΣΤΗ ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ, ΒΑΡΣΟΣ ΔΗΜΗΤΡΗΣ, ΔΕΡΙΖΙΩΤΗΣ ΔΗΜΗΤΡΗΣ, ΕΜΜΑΝΟΥΗΛ ΓΙΑΝΝΗΣ, ΜΑΛΙΑΚΑΣ ΜΗΧΑΛΗΣ, ΜΕΛΑΣ ΑΝΤΩΝΗΣ, ΤΑΛΕΛΛΗ ΟΛΥΜΠΙΑ
3. Εισαγωγή στη ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ, Θεοδώρα Θεοχάρη-Αποστολίδη, Χαρά Χαραλάμπους, Χαρίλαος Βαβατσούλας
4. Γραμμική Άλγεβρα και Αναλυτική Γεωμετρία, Μυλωνάς Νίκος Λεπτομέρειες
5. Εισαγωγή στη γραμμική άλγεβρα, Αθανάσιος Πάπιστας, εκδ. Τζιόλας
Last Update
07-12-2020
