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: 455
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 1 | 1 | 5 |
| Academic Year | 2018 – 2019 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600121188
|
Class Schedule
| Building | Σχ. Θετικών Επιστημών - νέο κτίριο - Ανατολ. πτέρυγα |
| Floor | Ισόγειο |
| Hall | "ΕΜΠΕΙΡΙΚΟΣ ΝΙΚΟΛΑΟΣ" (193) |
| Calendar | Τετάρτη 17:00 έως 19:00 |
| Building | Σχ. Θετικών Επιστημών - νέο κτίριο - Ανατολ. πτέρυγα |
| Floor | Ισόγειο |
| Hall | "ΕΜΠΕΙΡΙΚΟΣ ΝΙΚΟΛΑΟΣ" (193) |
| Calendar | Πέμπτη 14:00 έως 16:00 |
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/1/600121188
- 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
Matrix, Vector space, Linear map, Linear system of equations, Determinant.
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- 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
The cource has two tests which allow the student to pass the cource.
Bibliography
Course Bibliography (Eudoxus)
1. ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΕΦΑΡΜΟΓΕΣ, STRANG GILBERT, ΙΔΡΥΜΑ ΤΕΧΝΟΛΟΓΙΑΣ & ΕΡΕΥΝΑΣ - ΠΑΝΕΠΙΣΤΗΜΙΑΚΕΣ ΕΚΔΟΣΕΙΣ ΚΡΗΤΗΣ.
2. Εισαγωγή στη Γραμμική Άλγεβρα και Αναλυτική Γεωμετρία, Ιωαννίδου Θεοδώρα, ΕΚΔΟΣΕΙΣ Α. ΤΖΙΟΛΑ & ΥΙΟΙ Ο.Ε.
3. Γραμμική Άλγεβρα (5η Έκδοση), Lipschutz Seymour,Lipson Marc Lars, ΕΚΔΟΣΕΙΣ Α. ΤΖΙΟΛΑ & ΥΙΟΙ Ο.Ε.
Last Update
12-10-2020
