Mathematical Methods for Computer Engineering (MATLC0124), 5 op

Perustiedot

Esitietovaatimukset

MATLC0020 Basic Course of Mathematics, MATLC0128 Integral Calculus and laplace Transforms, MATLC0022 Series, Fourier- and Z-Transforms

Sisältö (ydinaines ja -osaaminen)

Probability, binomial, Poisson and normal distributions. Mean and variance, statistical testing of means. Mathematical modeling, regression models. Discrete mathematics, Euclidean algorithm, congruences and graph theory. Some optimization problems.

Sisältö (täydentävä ja erityisosaaminen)

Conditional probability. Reliability, exponential distribution. Median and quartiles, statistical testing of variance and distribution. Variance analysis, nonlinear models. Diophantine equations, RSA algorithm. Algebraic structures.

Tiedolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student understands the meaning of probability and statistical testing and the areas of application for different distributions. The student understands mathematical models. The student is familiar with the applications of discrete mathematics to coding theory and optimization.

Taidolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student is able to choose the correct distribution and apply it. The student can do simple statistical testing and fit a model to the data. The student is able to use simple coding and optimization algorithms.

Kirjallisuus ja muu materiaali

Croft ? Davison ? Hargreaves: Engineering Mathematics
Kreyszig: Advanced Engineering Mathematics

Opetusmenetelmät

Lectures and assignments
Laboratory assignments
Examinations
Homework and self-study

Opiskelijan kuormittavuus

Tentti - 6
Luennot ja tuntiharjoitukset - 42
Itseopiskelu - 48
Laboratoriotyöt - 14

Arvioinnin perusteet

Examinations (40 % of maximal points) and computer assignments

Koulutusohjelmakohtaiset kompetenssit