Vector Calculus. Straight Lines, Surfaces and Curves in Space. Vector Spaces and Vector Subspaces. Linear independence, Bases and dimension of vector Spaces. Matrices and Determinants. Finite-dimensional linear mappings. Matrices of linear maps. Systems of Linear Equations and Matrices. Solution of Systems of Linear Equations. Eigenvalues-Eigenvectors. Matrix Diagonalization. Quadratic Forms.

Upon successful completion of this course, students will be able:

• to know and manage the general form of curves and surfaces,
• to understand and use concepts of vector spaces,
• to use matrices as tools in theoretical and numerical computations,
• to compute eigenvalues and eigenvectors,
• to compute determinants,
• to solve systems of linear equations,
• to manage and use matrix diagonalization.

None

Written final exam (100%)

• G. Strang, Γραμμική Άλγεβρα και Εφαρμογές, Πανεπιστημιακές Εκδόσεις Κρήτης, 2009.
• Α. Κυριαζής, Εφαρμοσμένη Γραμμική Άλγεβρα, Νικητόπουλος Ε & Σια ΟΕ, 2006.
• G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2003.
• Τζουβάρας Θεόδωρος, Γραμμική Άλγεβρα Ι (και ΙΙ), Σαββάλας 2001.
• Κουτελιέρης, Σιάννη, Γραμμική Άλγεβρα για Μηχανικούς, Τζιόλας 2005.
• Serge, Land, Linear Algebra, Springer Verlag Berlin and Heidelberg GmbH & Co. KG, 1993.
• Richard C., Penney, Linear Algebra, John Wiley and Sons Ltd, 1998.