FORMAL REQUIREMENTS AND ADMINISTRATION OF DOCTORAL STUDIES
Version: Released and applicable since 1st August 2019 (last update: December 2020)
PhD programme: Mathematics and Statistics (Matematika a statistika)
Guarantor/Doctoral Board head contact: Martin Kolář, mkolar@math.muni.cz
General requirements for all students in the programme (please see detailed requirements for the Individual Study Plan in the detailed table below).
Mandatory courses: checked by Dean’s Office
XD100 Ph.D. thesis / Příprava dizertační práce each semester (25 ECTS for semesters 1-4, 30 ECTS for semesters 5-8, 20 ECTS for semesters 9+)
Programme seminar enroll a research seminar according to the specialization for all 8 semesters of standard
study duration (with exception of stay abroad)
XD106 Lecture in the foreign language  
/ Odborná přednáška v cizím jazyce  
Minimum one-time (2 ECTS)
XD102 Teaching Assistance
/ Pomoc při výuce  
2 teaching hours per week during semesters 1-4. 4-times (2 ECTS per semester) during semesters 1-
4.
Placement Abroad
/ Zahraniční pracovní pobyt  
Minimum 1 month stay, min. once during studies (usually 5 ECTS/month), requirement given by
law
Instructions for recognition of Placement Abroad:
https://www.sci.muni.cz/en/students/go-abroad/recognition-of-stay-abroad
(the recognition is done via IS application Internship and Stays, by creating record of the stay and
request for recognition; the course is then registered by Dean’s Office)
Theoretical courses and all other requirements: checked by the Head of Doctoral Board / Head of Doctoral Committee 
Theoretical courses – minimum 4 during semesters 1-6
(*) Requirements for theoretical SDE:
Theoretical preparation for SDE
The time (semester) for SDE will be specified individually in the ISP, reflecting previous study history of the student. The 4 obligatory theoretical courses have to be passed before taki
ng the SDE.
Elements of the ISP Milestones and their check
Enrolment to studies (Befor End of Sem End of End of S End of Se End of Semester 8
e semester 1) ester 2 Semest emester mester 8 (Preparation for PhD defence)
er 4 6 (Theoreti
cal State
Doctoral
Exam,
SDE *)
(A) research and
development act
ivities (ca 75
% of workload)
1. Research, dissertation project, liter
ature search of the actual state of the
topic, planning and the scientific activi
ty itself 60%).
Define framework topic of y
our PhD project with your s
upervisor for enrolment.
CHECK: Dean’s office
[enrolment]
XD100 for each semester (2
5 ECTS for semesters 1-4, 30
ECTS for semesters 5-8, 20
ECTS for semesters 9+]
CHECK: Dean’s office
Present “re
search proj
ect” for you
r PhD study
in
front of the
Doctoral
Board.
CHECK: Doc
toral
Board
No for
mal ch
eck ne
eded
No form
al check
needed
Submit PhD
thesis according to instructions of Doct
oral Board, format according to SCI
MUNI requirements
CHECK: Doctoral Board, Dean’s office
2. Publications No formal check needed No formal c No for No form The dissertation should be based on or
(thesis should be based on at least on heck neede mal ch al check iginal results, published or accepted fo
e original paper demonstrating qualit d eck ne needed r publication.
y and independence of the student eded It is expected that IF of the journals is a
(10%) bove the median in the given field. Pos
sible exceptions have to be approved b
y the Doctoral Board
CHECK: Doctoral Board [Thesis].
3. Presentation of results on scientific
seminars,
symposia, conferences etc., including
preparation of talks and/or poster pre
sentations (5%)
No formal check needed No formal c
heck neede
d
No for
mal ch
eck ne
eded
No form
al check
needed
At
minimum one documented oral presen
tation in English to appropriate scienti
fic audience, preferentially internation
al conference.
CHECK: Dean’s office [XD106]
(B) Specialized c
ourses and theor
etical preparatio
n (15%)
4. Theoretical courses, preparation to
the state doctoral exam – SDE (10%)
Identify student’s knowledg
e gaps and what should be l
earned for SDE.
Plan corresponding courses,
trainings for the first two ye
ars. Consider courses at MU
or outside. Minimum
4 credited courses are requi
red. Selection can be change
d/updated for each semeste
r.
CHECK: Supervisor
No formal c
heck neede
d
No for
mal ch
eck ne
eded
Successf
ully pass
at minim
um
4 credite
d theore
tical cour
ses.
CHECK:
Doctoral
Board
Successfu
lly pass at
minimum
4 credited
theoretic
al courses
.
CHECK:
Doctoral
Board
5. Doctoral seminars (5%) Enrol the specialization
department seminar in each
semester 1-8
No formal c
heck neede
d
No for
mal ch
eck ne
eded
No form
al check
needed
Get credits for the specialization semin
ar for all semesters when student work
s at MU in
Brno. Semesters when student is at int
ernational stay abroad are excluded.
CHECK: Dean’s office [IS.MUNI]
(C)
International exp
erience and com
petitiveness
6. Further improving of English comp
etences (attending courses, seminars,
conferences, writing publications, all i
n English).
No formal check needed No formal c
heck neede
d
No for
mal ch
eck ne
eded
No form
al check
needed
No formal check needed
CHECK: Dean’s office [XD106]
7. Stay or internship abroad - mandat
ory participation in international coop
eration.
No formal check needed No formal c
heck neede
d
No for
mal ch
eck ne
eded
No form
al check
needed
Minimum is 1 month stay abroad
CHECK: Dean’s office [stay abroad in
IS; XD110]
(D) Pedagogical c
ompetences
8. Teaching assistance - classrooms, e
xercises, advising undergrad students
and comparable.
2 teaching hours (or equival
ent teaching assistence load
) per week during semesters
1-4.
No formal c
heck neede
d
CHECK:
Dean’s
office
[IS;
XD102
for 4 se
mester
s]
No form
al check
needed
(E) Other transfe 9. Career development No formal check needed No formal c No for No form No formal check needed
rrable skills. - preparation and heck neede mal ch al check
management of projects, scientific wri Check offers of PHD d eck ne needed
ting, communication, other soft-skills. TRAINING SCHOOL eded
and outside of MU
Mathematics and Statistics - Recommended regular theoretical courses
Autumn semester:
M7111 Topics on mathematical modelling
M7150 Category theory
M7180 Functional analysis II
M7250 Semigroups and formal languages
M7300 Global analysis
M7350 Algebra III
M7986 Statistical inference I
M9140 Theoretical numerical analysis
MA750 Probability theory
MA850 Statistical Inference for multivariate data
M9901 Theory and practice of spline smoothing
M7777 Applied functional data analysis
M7PNM1 Advanced numerical methods I M9121
Time series I
M8130 Algebraic topology
M8140 Algebraic geometry
Spring semester:
M0150 Difference equations
M0170 Cryptography
M6800 Variational calculus
M7110 Differential geometry
M7160 Ordinary differential equations
M7230 Galois theory
M81B0 Mathematical models in biology
M8986 Statistical inference II
M9211 Bayesian methods
MF002 Stochastic analysis
M8PNM2 Advanced numerical methods II
M7960 Dynamical Systems
MF004 Mathematical models in finance
M8300 Partial differential equations
M8350 Algebra IV
Other recommended one-time courses will be announced for individual semesters.