Linear Algebra I (MAY121)
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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 | MAY121 |
Semester | 1 |
Course Title | Linear Algebra I |
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) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
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 basic notions and knowledge of Linear Algebra and advance his creative and productive thinking. |
Syllabus
- The algebra of (m x n) matrices and applications.
- Row echelon forms and reduced row echelon form of a matrix.
- Rank of a matrix. Determinants. Invertible matrices.
- Linear systems and applications.
- Vector spaces. Linear maps.
- The space L(E,F) of linear operations.
- Subspaces. Bases. Dimension. Rank of a linear operation.
- Fundamental equation of dimension and its applications. Matrix of a linear map. Matrix of a change of bases. The isomorphism between linear mapsand matrices. Equivalent matrices. Similar matrices. Determinant of an endomorphism. Sum and direct sum of vector subspaces.
Teaching and Learning Methods - Evaluation
Delivery | Classroom (face-to-face) | ||||||||||
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Use of Information and Communications Technology |
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Teaching Methods |
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Student Performance Evaluation | Final written exam in Greek (in case of Erasmus students, in English) which includes analysis of theoretical topics and 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