Linear algebra - an introduction to data analysis 2401-CS-11-LA-s2

Linear algebra is used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. The operations on vectors - addition, subtraction, and three types of multiplication play the important role in field of linear algebra. Applications of matrices are found in many scientific fields. The properties of operations on matrices - addition, scalar multiplication, and transposition will be considered. We will also recall the notion of the determinant of a given matrix. Determinants play an important role in finding the inverse of a matrix and also in solving systems of linear equations. We will also get to know with linear combinations, span and basis vectors, linear transformations.

Total student workload

Contact hours with teacher: - participation in lectures - 15 hrs - participation in tutorials - 15 hrs - consultations- 10 hrs Self-study hours: - preparation for lectures and reading literature - 10 hrs - preparation for test/ examination - 10 hrs

Learning outcomes - knowledge

Student W1: is familiar with the notion of the linear transformation W2: knows operations on matrices W3: is capable of founding characteristic values and characteristic vectors (eigenvalues and eigenvectors)

Learning outcomes - skills

U1: can operate on vectors U2: can apply linear combinations and is able to find basis vectors

Learning outcomes - social competencies

Student K1: understands the significance of the scientific method K2: - uses scientific terminology correctly

Teaching methods

Expository teaching methods: - informative (conventional) lecture - problem-based lecture Exploratory teaching methods - practical Online teaching methods - evaluative methods - exchange and discussion methods

Expository teaching methods

- problem-based lecture
- informative (conventional) lecture

Exploratory teaching methods

- practical

Online teaching methods

- evaluative methods
- exchange and discussion methods

Type of course

core frame (attribute withdrawn)

Prerequisites

None

Course coordinators

Krystyna Mruczek-Nasieniewska

Assessment criteria

Assessment methods:
- written examination – W1
- test – W2
- activity – W3

Assessment criteria:
lecture: written exam with open-ended questions, with the maximum number of 50 points. The resulting mark is given as follows:
fail- <0;45 %)
satisfactory- <45%;55%)
satisfactory plus- <55%;65%)
good – <65%;78%)
good plus- <78%;88 %)
very good- <88 %;100%>

tutorial: written two tests with open-ended questions, with the maximum number of 22 points, each. The sum of these two components is the basis of the final mark according to the following scale:

fail- <0;45 %)
satisfactory- <45%;55%)
satisfactory plus- <55%;65%)
good – <65%;78%)
good plus- <78%;88 %)
very good- <88 %;100%>

Practical placement

not applicable

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 2401-CS-11-LA-s2 in USOSweb