LINEAR ALGEBRA AND MATRIX CALCULUS

Course Information
TitleΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΠΙΝΑΚΕΣ / 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: UPS of School of Rural and Surveing Engineering

Registered students: 202
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Courses114

Class Information
Academic Year2014 – 2015
Class PeriodWinter
Faculty Instructors
Weekly Hours4
Class ID
20052128
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
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 ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΑΝΑΛΥΤΙΚΗ ΓΕΩΜΕΤΡΙΑ, ΦΙΛΙΠΠΟΣ Ι. ΞΕΝΟΣ 2.Εισαγωγή στη γραμμική άλγεβρα και αναλυτική γεωμετρία, Ιωαννίδου Θεοδώρα 3.Γραμμική άλγεβρα, Ιουλίδης Σταύρος Γ. 4. Γραμμική άλγεβρα και θεωρία πινάκων, Δερμάνης Αθανάσιος Α.
Last Update
15-06-2014