Linear Algebra

Course Information
TitleΓραμμική Άλγεβρα / Linear Algebra
Code002
FacultyEngineering
SchoolElectrical and Computer Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorKonstantinos Papalamprou
CommonNo
StatusActive
Course ID600000949

Programme of Study: Electrical and Computer Engineering

Registered students: 515
OrientationAttendance TypeSemesterYearECTS
CORECompulsory Course115
Class Information
Academic Year2019 – 2020
Class PeriodWinter
Faculty Instructors
Class ID
600144645
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
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
Matrices, Linear Systems, Vector Spaces, Eigenvalues, 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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures571.9✓✓
Tutorial571.9
Exams361.2
Total1505
Student Assessment
Description
Written final examination
Student Assessment methods
  • Written Exam with Problem Solving (Formative, Summative)
  • Written examination
Bibliography
Course Bibliography (Eudoxus)
1. Γραμμική Άλγεβρα Αναλυτική Γεωμετρία και Εφαρμογές, Καδιανάκης Ν. Καρανάσιος Σ 2. Γραμμική Άλγεβρα και Αναλυτική Γεωμετρία, Φελλούρης Α. 3. Εισαγωγή στη Γραμμική Άλγεβρα και Αναλυτική Γεωμετρία, Ιωαννίδου Θεοδώρα
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