# Linear Algebra, 6 credits (TNIU75)

Linjär algebra, 6 hp

### Main field of study

Mathematics Applied Mathematics

First cycle

Programme course

George Baravdish

### Director of studies or equivalent

George Baravdish
Course offered for Semester Period Timetable module Language Campus VOF
6IBYG Civil Engineering, B Sc in Engineering 3 (Autumn 2017) 1 1 Swedish Norrköping o
6KFTL Air Transportation and Logistics, Bachelor's Programme 3 (Autumn 2017) 1 1 Swedish Norrköping o
6KLOG Civic Logistics, Bachelor´s Programme 3 (Autumn 2017) 1 1 Swedish Norrköping o

### Main field of study

Mathematics, Applied Mathematics

First cycle

G1X

### Course offered for

• Civil Engineering, B Sc in Engineering
• Air Transportation and Logistics, Bachelor's Programme
• Civic Logistics, Bachelor´s Programme

### Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

### Intended learning outcomes

After completing this course students should be able to:

• solve systems of linear equations and be able to interpret these solutions geometrically,
• handle basic geometric objects in two and three dimensions (like points, vectors, lines, planes) and be able to investigate essential relations between these objects,
• understand the notion of a matrix and master the matrix calculus in order to perform simple matrix operations (like transposition or multiplication of matrices),
• understand and apply the notion of basis in space and perform the change of basis,
• give an account for and perform calculations with the help of basic ideas and methods of theory of linear operators including inverse operators, eigenvalues and eigenvectors, diagonalization of operators (spectral theorem) and dimension theorem as well as relate these to the methods and notions from p. 2, 3, and 4.

### Course content

Systems of linear equations. Vectors. Matrices. Determinants. Bases. Change of Bases. The scalar product. The cross product. Lines and planes in space. Linear transformations and their compositions. Eigenvalues and eigenvectors of a linear transformation. Diagonalization. Spectral theorem. Kernel and image of a linear operator. Dimension theorem.

### Teaching and working methods

The course consists of lectures and tutorials.

### Examination

 KTR1 Optional written test U, G 0 credits TEN1 Written examination U, 3, 4, 5 6 credits

Four-grade scale, LiU, U, 3, 4, 5

### Department

Institutionen för teknik och naturvetenskap

George Baravdish

George Baravdish

### Course website and other links

http://www2.itn.liu.se/utbildning/kurs/

### Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

### Course literature

##### Books
Albertson, F, Lineär algebra med vektorgeometri, Övningsbok
ISBN: 9789144005287Tengstrand, A, Lineär algebra med vektorgeometri
ISBN: 9789144044187

### Books

Albertson, F, Lineär algebra med vektorgeometri, Övningsbok

ISBN: 9789144005287

Tengstrand, A, Lineär algebra med vektorgeometri

ISBN: 9789144044187