study programme

Mathematical Engineering

Original title in Czech: Matematické inženýrstvíFaculty: FMEAbbreviation: N-MAI-PAcad. year: 2025/2026

Type of study programme: Master's

Study programme code: N0541A170033

Degree awarded: Ing.

Language of instruction: Czech

Accreditation: 16.7.2020 - 16.7.2030

Profile of the programme

Academically oriented

Mode of study

Full-time study

Standard study length

2 years

Programme supervisor

Degree Programme Board

Chairman :
prof. RNDr. Josef Šlapal, CSc.
Councillor internal :
Mgr. Jana Hoderová, Ph.D.
doc. Ing. Radek Kalousek, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.
doc. Mgr. Petr Vašík, Ph.D.
prof. Mgr. Pavel Řehák, Ph.D.
prof. RNDr. Jan Čermák, CSc.
prof. RNDr. Miloslav Druckmüller, CSc.
doc. Ing. Luděk Nechvátal, Ph.D.

Fields of education

Area	Topic	Share [%]
Mathematics	Without thematic area	100

What degree programme types may have preceded

The graduates may continue in a doctoral study programme.

Course structure diagram with ECTS credits

1. year of study, winter semester
Abbreviation	Title	L.	Cr.	Com.	Compl.	Hr. range	Gr.	Op.
SU2	Functional Analysis II	cs	4	Compulsory	Cr,Ex	P - 26 / C1 - 13		yes
SGA-A	Graphs and Algorithms	en	4	Compulsory	Cr,Ex	P - 26 / C1 - 13		yes
SN3	Numerical Methods III	cs	5	Compulsory	Cr,Ex	P - 26 / CPP - 13		yes
SO2	Optimization Models II	cs	4	Compulsory	Cr,Ex	P - 26 / CPP - 13		yes
SP3	Probability and Statistics III	cs	4	Compulsory	GCr	P - 26 / CPP - 13		yes
0PPS	Industrial Project (N-MAI)	cs	2	Compulsory	Cr	PX - 120		yes
S1M	Calculus of Variations	cs	4	Compulsory	GCr	P - 26 / C1 - 13		yes
VAI	Artificial Intelligence Algorithms	cs	4	Compulsory-optional	Cr,Ex	P - 26 / CPP - 26	1	yes
VCP	Programming for Mechanical Engineering	cs	3	Compulsory-optional	GCr	P - 26 / CPP - 26	1	yes
6KP	Solution of Basic Problems of Solids Mechanics by FEM	cs	4	Elective	GCr	P - 26 / CPP - 26		yes
S2M	Stochastic Modelling	cs	3	Elective	GCr	C1 - 26		yes

1. year of study, summer semester
Abbreviation	Title	L.	Cr.	Com.	Compl.	Hr. range	Gr.	Op.
SKF	Complex Variable Functions	cs	6	Compulsory	Cr,Ex	P - 39 / C1 - 26		yes
SML	Mathematical Logic	cs	5	Compulsory	Cr,Ex	P - 26 / C1 - 26		yes
SDR	Advanced Methods in Mathematical Analysis	cs	5	Compulsory	Cr,Ex	P - 26 / C1 - 26		yes
SSP	Stochastic Processes	cs	5	Compulsory	Cr,Ex	P - 26 / CPP - 13		yes
SOR-A	Fundamentals of Optimal Control Theory	en	5	Compulsory	Cr,Ex	P - 26 / C1 - 13		yes
SPJ	Programming Language Java	cs	4	Compulsory-optional	GCr	P - 13 / CPP - 26	2	yes
SR0	Reconstruction and Analysis of 3D Scenes	cs	4	Compulsory-optional	GCr	P - 13 / CPP - 26	2	yes
SF0	Applications of Fourier Analysis	cs	2	Elective	Cr	P - 13 / CPP - 13		yes
SAL	Multi-valued Logic Applications	cs	4	Elective	GCr	P - 26 / CPP - 13		yes
VOB	Object-Oriented Programming	cs	3	Elective	GCr	P - 13 / CPP - 26		yes

2. year of study, winter semester
Abbreviation	Title	L.	Cr.	Com.	Compl.	Hr. range	Gr.	Op.
SD3	Diploma Project I (N-MAI)	cs	4	Compulsory	Cr	VD - 65		yes
SFI-A	Financial Mathematics	en	4	Compulsory	GCr	P - 26 / CPP - 13		yes
SFM	Fuzzy Sets and Applications	cs	5	Compulsory	Cr,Ex	P - 26 / CPP - 26		yes
SMM	Mathematical Methods in Fluid Dynamics	cs	4	Compulsory	Cr,Ex	P - 26 / CPP - 13		yes
TNM	Numerical Methods of Image Analysis	cs	5	Compulsory	Cr,Ex	P - 26 / CPP - 26		yes
SRM	Ordinary Differential Equations in Mechanics	cs	6	Compulsory	Cr,Ex	P - 39 / C1 - 13		yes
SSZ	Diploma Seminar I (M-MAI)	cs	2	Compulsory	Cr	C1 - 13		yes
SSJ	Reliability and Quality	cs	4	Compulsory-optional	Cr,Ex	P - 26 / CPP - 13	3	yes
0TH	Introduction to Game Theory	cs	4	Compulsory-optional	Cr,Ex	P - 26 / C1 - 13	3	yes
SFA-A	Fourier Analysis	en	4	Elective	GCr	P - 26 / C1 - 13		yes
S1K	Continuum Mechanics	cs	4	Elective	Cr,Ex	P - 39 / C1 - 39		yes
0ZC	Academic Sources and Citations	cs	2	Elective	Cr	CPP - 13		yes

2. year of study, summer semester
Abbreviation	Title	L.	Cr.	Com.	Compl.	Hr. range	Gr.	Op.
TAI	Analysis of Engineering Experiment	cs	5	Compulsory	Cr,Ex	P - 26 / CPP - 13		yes
SD4	Diploma Project II (M-MAI)	cs	6	Compulsory	Cr	VD - 91		yes
SSR-A	Mathematical Structures	en	4	Compulsory	Ex	P - 26		yes
SDS	Diploma Seminar II (M-MAI)	cs	3	Compulsory	Cr	C1 - 26		yes
SVD	Data Visualisation	cs	5	Compulsory	GCr	P - 13 / CPP - 26		yes
VTR	Algebraic Theory of Control	cs	3	Compulsory-optional	GCr	P - 26	4	yes
SAV	Geometrical Algorithms and Cryptography	cs	3	Compulsory-optional	Ex	P - 26	4	yes
S3M	Mathematical Seminar	cs	2	Elective	Cr	C1 - 26		yes
VPD	Python Programming – Data Science	cs	4	Elective	GCr	P - 26 / CPP - 26		yes

All the groups of optional courses
Gr.	Number of courses	Courses
1	1	VAI, VCP
2	1	SPJ, SR0
3	1	SSJ, 0TH
4	1	VTR, SAV