Linear Algebra II (MAY221)
Undergraduate Courses Outlines - Department of Mathematics
General
School | School of Science |
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Academic Unit | Department of Mathematics |
Level of Studies | Undergraduate |
Course Code | MAY221 |
Semester | 2 |
Course Title | Linear Algebra II |
Independent Teaching Activities | Lectures (Weekly Teaching Hours: 5, Credits: 7.5) |
Course Type | General Background |
Prerequisite Courses | - |
Language of Instruction and Examinations | Greek |
Is the Course Offered to Erasmus Students | Yes (in English) |
Course Website (URL) | http://users.uoi.gr/abeligia/LinearAlgebraII/LAII2018/LAII2018.html |
Learning Outcomes
Learning outcomes |
After finishing the course, the students will be able:
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General Competences |
The aim of the course is to empower the graduate to analyse and compose notions and knowledge of Linear Algebra and advance creative and productive thinking. |
Syllabus
Eigenvalues, Eigenvectors, Eigenspaces, Diagonalisation, Cauley-Hamilton thoerem, Euclidean spaces, Orthogonality, Gram-Schmidt orthogonalization, Orthogonal matrices, Self-adjoint endomorphisms, Symmetric matrices, Spectral theorem, Isometries, Quadratic forms, Principal Axes, Square root of a nonnegative real symmetric matrix. Norms of a matrix.
Teaching and Learning Methods - Evaluation
Delivery |
Classroom (face-to-face) | ||||||||||
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Use of Information and Communications Technology | - | ||||||||||
Teaching Methods |
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Student Performance Evaluation |
Final written exam in Greek (in case of Erasmus students in English) which includes resolving application problems. |
Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Additionally:
- Introduction to Linear Algebra (Greek), Bozapalidis Symeon, ISBN: 978-960-99293-5-6 (Editor): Charalambos Nik. Aivazis