# Linear Algebra

 Title Γραμμική Άλγεβρα / Linear Algebra Code 002 Faculty Engineering School Electrical and Computer Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Konstantinos Papalamprou Common No Status Active Course ID 600000949

### Programme of Study: Electrical and Computer Engineering

Registered students: 515
OrientationAttendance TypeSemesterYearECTS
CORECompulsory Course115

 Academic Year 2019 – 2020 Class Period Winter Faculty Instructors Class ID 600144645

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) Floor Όροφος 1 Hall Α5 (7) Calendar Πέμπτη 12:00 έως 14:00 Building Πολυτεχνείο - πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) Floor Όροφος 1 Hall Α5 (7) Calendar Πέμπτη 14:00 έως 16:00 Building Πολυτεχνείο - κτίριο Α (Εδρών) Floor Υπόγειο 1 Hall ΜΙΚΡΟ ΑΜΦΙΘΕΑΤΡΟ ΠΟΛΥΤΕΧΝΙΚΗΣ (240) Calendar Δευτέρα 18:00 έως 20:00
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
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
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