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: 149
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Courses114

 Academic Year 2019 – 2020 Class Period Winter Faculty Instructors Dimitra Alexiou 4hrs Weekly Hours 4 Class ID 600153218

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) Floor Όροφος 2 Hall ΤΑΤΜ-303 Αμφιθέατρο (11) Calendar Τρίτη 09:30 έως 11:30 Building Πολυτεχνείο - πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) Floor Όροφος 2 Hall ΤΑΤΜ-303 Αμφιθέατρο (11) Calendar Τετάρτη 09:00 έως 11:00
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Digital Course Content
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