ICT Mathematical ApplicationsLaajuus (3 ECTS)

Objective

On completion of the course the student has knowledge of ICT mathematical methods. The student knows and understands concepts of the mathematical methods and calculations rules and has skills to use and apply them into problems solutions.

Content

Complex numbers, vectors, matrices
Set theory and probability
z-transform and Fourier-analyses
Signals and systems

Assessment criteria, satisfactory (1)

Complex numbers, vectors, matrices:
-understands and has skills to do basic operations with complex numbers, plane vectors and matrices.
Set theory and probability:
-understands the set theory concepts and the concept of probability. Is able to form the Venn-diagram and calculate the probability of an event.
z-transform and Fourier-analyses:
-is able to solve difference equation and to find z-transform using the transform table. Knows the continuous-time variable Fourier series and transform.
Signals and systems:
-understands classification of signals and the basic forms of continuous-time signals.

Assessment criteria, good (3)

Complex numbers, vectors, matrices:
-knows the space vectors operations and differentiation of vector and transposing of matrix.
Set theory and probability:
-understands relation and function concepts and is able to calculate numbers of combinations and permutations. Understands the random variable and the probability distributions concepts and characteristics.
z-transform and Fourier-analyses:
-has knowledge of methods for the inverse of z-transform and knows the convolution definition. Has skills to use and apply Fourier series and transform.
Signals and systems:
-understands the basic forms of discrete-time signals and knows classifications of systems.

Assessment criteria, excellent (5)

Complex numbers, vectors, matrices:
-understands the concepts and operations of vector analyses. Knows the constructions of sphere and cylinder coordinate systems and is able to find inverse of matrix.
Set theory and probability:
-is able to represent relations in different forms and has skills to calculate the probability of event in continuous and discrete distribution cases.
z-transform and Fourier-analyses:
-is able to apply transform with sample sequence and understands the ROC concept. Understands DFT and FFT as definitions and processes.
Signals and systems:
-understands the LTI system concept characteristics and has skills to calculate the responses of different systems.