LINEAR ALGEBRA AND MATRIX CALCULUS
| Title | ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΠΙΝΑΚΕΣ / LINEAR ALGEBRA AND MATRIX CALCULUS |
| Code | Υ04 |
| Faculty | Engineering |
| School | Rural and Surveying Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Dimitra Alexiou |
| Common | No |
| Status | Active |
| Course ID | 20001014 |
Programme of Study: UPS of School of Rural and Surveing Engineering
Registered students: 76
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Courses | 1 | 1 | 4 |
| Academic Year | 2024 – 2025 |
| Class Period | Winter |
| Instructors from Other Categories | |
| Weekly Hours | 4 |
| Class ID | 600260815
|
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/1/600260815
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Νο prerequicities.
Learning Outcomes
1. Familiarization with matrix notation.
2. Use of matrices in mathematical modeling.
3. Engineering applications of vectors and vector spaces.
4. Engineering applications of eigenvalues and eigenvectors.
5. Solving linear systems.
6. Intuition and mathematical formulation of 3-dimensional and more generally Ν-dimensional Euclidean
space. Lines and planes in 3-dimensional space; solution of associated geometric problems.
7. Introduction to surfaces in 3-dimensional space. Identification, plot and classification of 2nd degree
surfaces in 3-dimensional space.
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)
Matrices and their algebra. Determinants. Linear systems. Vector spaces (linear dependence and independence, basis, dimension). Orthogonality. Eigenvalues, eigenvectors diagonalization and their applications. Vectors and their algebra. Euclidean spaces RN. Cross product and triple product in R3. Lines and planes in R3. Relative positions between lines or planes. Surfaces. Sphere. Classification of 2nd order curves in the plane and surfaces in space.
Keywords
Linear Algebra, Analytic Geometry
Educational Material Types
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 120 | ✓ | ✓ | ||
| Total | 120 |
Student Assessment
Description
2 mid-term written exams or 1 final written examination at the end of the semester.
Student Assessment methods
- Written examination
Bibliography
Course Bibliography (Eudoxus)
1 Μαθηματικά και Θεωρία Γραφημάτων για Μηχανικούς.Εκδόσεις Τζιόλα
2.Εισαγωγή στη γραμμική άλγεβρα και αναλυτική γεωμετρία, Ιωαννίδου Θεοδώρα
Last Update
03-11-2019
