ETE305 Linear Algebra 2009

Study Guide@lith

Valid for year : 2009

ETE305	Linear Algebra, 8 ECTS credits. /Linjär algebra/ For: FRIST
	Prel. scheduled hours: 78 Rec. self-study hours: 135
	Area of Education: Science Subject area: Mathematics
	Advancement level (G1, G2, A): G1
	Aim: To give a unified framework for geometrical and algebraic techniques, with applications in analysis, mechanics, numerical analysis, mathematical statistics, control theory, linear optimisation and other subjects. After completing the course the students should be able to read and understand the linear algebra which is used in other courses within the program and the linear algebra which can be found in technical articles. In order to handle this it is necessary to be able to solve systems of linear equations and know of the structure of the set of solutions work with inner product and vector product for geometrical vectors perform calculations with matrices and determinants describe the concept of a vector space and perform calculations with vectors and coordinates describe the concept of a linear mapping, calculate the matrix and calculate its null space and range project orthogonally on sub spaces and use the method of least squares use change of basis in order to solve problems determine eigenvectors and eigenvalues, and interpret them geometrically understand and apply the principle axes theorem understand and use quadratic forms in geometric applications formulate the spektral theorem and use it in order to solve systems of differential equations and systems of difference equations cite and explain important definitions and theorems (eg the spectral theorem) perform standard calculations with accuracy
	Prerequisites: (valid for students admitted to programmes within which the course is offered) Admission to the course requires, as well as general university entrance requirements, secondary school matematics D (or equivalent). Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
	Organisation: Distance course
	Course contents: Systems of linear equations. Vectors, analytic geometry. Matrices and matrix algebra. Determinants. Vector spaces. Euclidean spaces. Linear mappings.Eigenvalues and eigenvectors. Symmetric mappings. Quadratic forms, curves and surfaces. Systems of differential and difference equations
	Course literature: Janfalk, U.: Linjär algebra. Janfalk, U.: Linjär algebra. Problemsamling
	Examination:
	Written examination Optional assignments	8 ECTS 0 ECTS


Course language is Swedish. Department offering the course: MAI. Director of Studies: Göran Forsling Examiner: Ulf Janfalk Link to the course homepage at the department Course Syllabus in Swedish

Linköping Institute of Technology
Contact: TFK , val@tfk.liu.se Last updated: 07/09/2009