LINEAR ALGEBRA AND MATRIX CALCULUS

Course Information
TitleΓραμμική Άλγεβρα και Πίνακες / LINEAR ALGEBRA AND MATRIX CALCULUS
CodeΥ04
FacultyEngineering
SchoolRural and Surveying Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorDimitra Alexiou
CommonNo
StatusActive
Course ID20001014

Programme of Study: PPS Tmīmatos Agronómōn kai Topográfōn Mīchanikṓn (2025-sīmera)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
Vasikós kýklos spoudṓnCompulsory Courses115

Programme of Study: UPS of School of Rural and Surveing Engineering

Registered students: 166
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Courses114

Class Information
Academic Year2017 – 2018
Class PeriodWinter
Faculty Instructors
Weekly Hours4
Class ID
600105821
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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures120
Total120
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.Δ.Αλεξίου 2.Εισαγωγή στη γραμμική άλγεβρα και αναλυτική γεωμετρία, Ιωαννίδου Θεοδώρα
Last Update
19-11-2017