Linear Algebra
| Title | Γραμμική Άλγεβρα / Linear Algebra |
| Code | 002 |
| Faculty | Engineering |
| School | Electrical and Computer Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Konstantinos Papalamprou |
| Common | No |
| Status | Active |
| Course ID | 600000949 |
Programme of Study: Electrical and Computer Engineering
Registered students: 305
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| CORE | Compulsory Course | 1 | 1 | 5 |
| Academic Year | 2016 – 2017 |
| Class Period | Winter |
| Faculty Instructors | |
| Instructors from Other Categories | |
| Class ID | 600014057
|
Class Schedule
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α5 (7) |
| Calendar | Πέμπτη 12:00 έως 14:00 |
| Building | Πολυτεχνείο (κτίριο εδρών) |
| Floor | Υπόγειο 1 |
| Hall | ΜΙΚΡΟ ΑΜΦΙΘΕΑΤΡΟ ΠΟΛΥΤΕΧΝΙΚΗΣ (240) |
| Calendar | Δευτέρα 08:00 έως 10:00 |
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α5 (7) |
| Calendar | Δευτέρα 13:00 έως 15:00 |
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/1/600014057
- eLearning: https://elearning.auth.gr/course/view.php?id=11165
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
No prerequisites.
Learning Outcomes
1. Develop algebraic skills and use algorithmic techniques essential for the study of aspects such as matrix algebra, vector spaces, systems of linear equation, eigenvalues and eigenvectors, orthogonality and diagonalization.
2. Develop spatial reasoning and utilize geometric properties and strategies to model and solve problems as well as view the solution in R2 and R3 and conceptually extend these results to higher dimensions
3. Construct mathematical arguments and understand proofs and concepts that involve elements of introductory linear algebra.
4. Be aware of computational packages and programming languages, where appropriate, that would facilitate them in solving problems and presenting the related solutions.
5. Communicate linear algebra statements, ideas and results, both verbally and in writing, with the correct use of mathematical definitions, terminology and notation.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Advance free, creative and causative thinking
Course Content (Syllabus)
Matrix algebra. Determinants. Solution of linear systems. Vector spaces (linear dependence and independence, basis, dimension). Linear and bilinear transformations. Application of vector spaces to linear systems (image, kernel, rank, nullity). Orthogonality. Eigenvalues, eigenvectors and their applications. Vectors and their algebra. Euclidean spaces RN. Outer and mixed product in R3. Equations of lines and planes in R3. Relative positions of lines and planes. Surfaces. Sphere. Classification of 2nd order curves in the plane and surfaces in space.
Keywords
Μatrix Analysis, Analytic Geometry
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 | 57 | 1.9 | ✓ | ✓ | |
| Tutorial | 57 | 1.9 | |||
| Exams | 36 | 1.2 | |||
| Total | 150 | 5 |
Student Assessment
Description
Written final exam
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
- Written examination
Bibliography
Course Bibliography (Eudoxus)
1. Γραμμική Αλγεβρα και Αναλυτική Γεωμετρία, Φίλλιπος Ξένος
2.Γραμμική Αλγεβρα και Αναλυτική Γεωμετρία, Ανάργυρος Φελλούρης
Additional bibliography for study
1. Γραμμική Άλγεβρα, S. Lipschutz και M. Lipson
2. ΕΙΣΑΓΩΓΗ ΣΤΗ ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ, GILBERT STRANG
3. ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΕΦΑΡΜΟΓΕΣ, GILBERT STRANG
Last Update
01-12-2020
