Course Information Package
|Course Unit Title||LINEAR ALGEBRA WITH MATLAB|
|Course Unit Code||AMAT181|
|Course Unit Details||BSc Automotive Engineering (Required Courses) - BSc Mechanical Engineering (Required Courses) - BSc Computer Engineering (Required Courses) - BSc Computer Science (Required Courses) - BSc Civil Engineering (Required Courses) - BSc Quantity Surveying (Required Courses) - BSc Electrical Engineering (Required Courses) -|
|Number of ECTS credits allocated||5|
|Learning Outcomes of the course unit||By the end of the course, the students should be able to:|
|Mode of Delivery||Face-to-face|
|Recommended optional program components||NONE|
Vectors and Linear spaces. Vector concept, operations with vectors, generalization to higher dimensions, Euclidean space, basis, orthogonal basis: linear dependence, Cartesian products, vector products, vector transformations, Gram-Schmidt orthogonalization, vector spaces and subspaces. Geometric examples.
Matrices and Determinants. Matrix concept, operations with matrices, Special matrices, definition of a determinant and its properties, determinant of a product, inverse matrix, properties and computation.
Linear Transformations. Definition of linear transformations, properties, elementary transformations, rank and determinants.
Simultaneous Linear Equations. Cramer’s rule, Gaussian elimination, Gauss-Jordan elimination, homogeneous linear equations, geometric interpretation.
Quadratic forms and Eigenvalue Problem. Quadratic forms, definitions, Normal form, eigenvalue problem, characteristic equation, eigenvalues and eigenvectors, singular value decomposition.
MATLAB Applications. Basic matrix algebra, the determinant of a matrix of n-order, solving simultaneous equations with n unknowns with a number of techniques, finding eigenvalues and eigenvectors. Elementary vector manipulation, finding linear dependence. Linear Transformations, plotting transforms on the x-y plane.
|Recommended and/or required reading:|
|Planned learning activities and teaching methods|
The taught part of course is delivered to the students by means of lectures, conducted with the aid of computer presentations. Lecture notes and presentations are available through the web for students to use in combination with the textbooks.
Computer Laboratories are utilized for special Matlab sessions, students learn how to use Matlab effectively, develop the functional units taught in lectures and gain greater insight into the underline mathematics.Several examples and exercises are solved in class to practice the theory and methodology taught. Students work on their own during class hours on examples and practice problems. Extra assignments are given to students to tackle at home, including exercises using MATLAB.
|Assessment methods and criteria|
|Language of instruction||English|