Comenius University Bratislava - Faculty of Mathematics, Physics and Informatics Comenius University Bratislava Faculty of Mathematics, Physics and Informatics FMFI 2026/2027 130136 B 2-prUMAx-101 FMFI.KDMFI/2-prUMAx-101/21 Combinatorics 0 Evaluation lecture / independent work 20s / 8s 2 (rozširujúce štúdium, iné N st., externá forma) L 1 doc. PaedDr. Peter Vankúš, PhD. 16.02.2026 06.12.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 1 on-site learning 2 N on-site learning true D, N 1021955 1 P lecturer Peter Vankúš doc. PaedDr. Peter Vankúš, PhD. vankus1@uniba.sk Slovak SK Slovak Slovak L 2 ABS 51 100.0 NEABS 0 0.0 51 2 130137 B 2-prUMAx-102 FMFI.KDMFI/2-prUMAx-102/21 Geometry (1) 0 Evaluation lecture / independent work 20s / 8s 1 (rozširujúce štúdium, iné N st., externá forma) Z 1 RNDr. Monika Dillingerová, PhD. 16.02.2026 14.09.2021 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 1 on-site learning 1 N on-site learning true D, N 1051731 1 P lecturer Monika Dillingerová RNDr. Monika Dillingerová, PhD. dillingerov1@uniba.sk Slovak SK Slovak Slovak Z 1 ABS 42 89.36 NEABS 5 10.64 47 2 130140 B 2-prUMAx-103 FMFI.KAG/2-prUMAx-103/21 Geometry (2) 0 Evaluation lecture / independent work 20s / 8s 2 (rozširujúce štúdium, iné N st., externá forma) L 1 RNDr. Kristína Rostás, PhD. 16.02.2026 17.10.2023 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 1 on-site learning 2 N on-site learning true D, N 1046995 1 P lecturer Kristína Rostás RNDr. Kristína Rostás, PhD. rostas1@uniba.sk Slovak SK Slovak Slovak L 2 ABS 40 97.56 NEABS 1 2.44 41 2 130138 B 2-prUMAx-104 FMFI.KDMFI/2-prUMAx-104/21 Mathematical Analysis (1) 0 Evaluation lecture / independent work 20s / 8s 2 (rozširujúce štúdium, iné N st., externá forma) L 1 Mgr. Michaela Vargová, PhD. 16.02.2026 30.05.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 1 on-site learning 2 N on-site learning true D, N 1257018 1 P lecturer Michaela Vargová Mgr. Michaela Vargová, PhD. vargova325@uniba.sk Slovak SK Slovak Slovak L 2 ABS 42 89.36 NEABS 5 10.64 47 2 130141 B 2-prUMAx-105 FMFI.KDMFI/2-prUMAx-105/21 Mathematical Analysis (2) 0 Evaluation lecture / independent work 20s / 8s 3 (rozširujúce štúdium, iné N st., externá forma) Z 2 Mgr. Michaela Vargová, PhD. 16.02.2026 15.02.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 2 on-site learning 3 N on-site learning true D, N 1257018 1 P lecturer Michaela Vargová Mgr. Michaela Vargová, PhD. vargova325@uniba.sk Slovak SK Slovak Slovak Z 3 ABS 39 100.0 NEABS 0 0.0 39 2 145962 B 2-prUMAx-106 FMFI.KDMFI/2-prUMAx-106/23 Algebra (1) 0 Evaluation lecture / independent work 20s / 8s 1 (rozširujúce štúdium, iné N st., externá forma) Z 1 Mgr. Emília Miťková, PhD. 16.02.2026 15.05.2023 FMFI.KDMFI/2-prUMAx-106/21 FMFI.KDMFI/2-prUMAx-106/21 - Linear Algebra 2-prUMAx-106 - Linear Algebra 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 20s prezenčná independent work 8s prezenčná 130139 FMFI.KDMFI/2-prUMAx-106/21 2-prUMAx-106 Linear Algebra A 4966 prUMA/x rozširujúce štúdium matematiky Z 1 on-site learning 1 N on-site learning true D, N 1037199 1 P lecturer Emília Miťková Mgr. Emília Miťková, PhD. mitkova14@uniba.sk Slovak SK Slovak Slovak Z 1 ABS 40 97.56 NEABS 1 2.44 41 2 146164 B 2-prUMAx-111 FMFI.KMANM/2-prUMAx-111/23 Revision of Advanced Secondary-school Mathematics 0 Evaluation lecture / independent work 16s / 6s 1 (rozširujúce štúdium, iné N st., externá forma) Z 1 doc. RNDr. Zbyněk Kubáček, CSc. 16.02.2026 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 1 on-site learning 1 N on-site learning true D, N 1001884 1 P lecturer Zbyněk Kubáček doc. RNDr. Zbyněk Kubáček, CSc. kubacek1@uniba.sk Slovak SK Slovak Slovak Z 1 ABS 16 100.0 NEABS 0 0.0 16 2 145960 B 2-prUMAx-112 FMFI.KDMFI/2-prUMAx-112/23 Didactics of Mathematics (1) 0 Evaluation lecture / independent work 16s / 6s 1 (rozširujúce štúdium, iné N st., externá forma) Z 1 doc. PaedDr. Mária Slavíčková, PhD. 16.02.2026 15.05.2023 FMFI.KDMFI/2-prUMAx-112/21 FMFI.KDMFI/2-prUMAx-112/21 - Introduction to Didactics of Mathematics 2-prUMAx-112 - Introduction to Didactics of Mathematics 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná 130148 FMFI.KDMFI/2-prUMAx-112/21 2-prUMAx-112 Introduction to Didactics of Mathematics A 4966 prUMA/x rozširujúce štúdium matematiky Z 1 on-site learning 1 N on-site learning true D, N 1040257 1 P lecturer Mária Slavíčková doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk Slovak SK Slovak Slovak Z 1 ABS 40 95.24 NEABS 2 4.76 42 2 130142 B 2-prUMAx-202 FMFI.KAG/2-prUMAx-202/21 Geometry (3) 0 Evaluation lecture / independent work 16s / 6s 4 (rozširujúce štúdium, iné N st., externá forma) L 2 RNDr. Barbora Pokorná, PhD. 16.02.2026 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 2 on-site learning 4 N on-site learning true D, N 1034541 1 P lecturer Barbora Pokorná RNDr. Barbora Pokorná, PhD. gallusova1@uniba.sk Slovak SK Slovak Slovak L 4 ABS 39 100.0 NEABS 0 0.0 39 2 130144 B 2-prUMAx-204 FMFI.KDMFI/2-prUMAx-204/21 Mathematical Analysis (3) 0 Evaluation lecture / independent work 16s / 6s 4 (rozširujúce štúdium, iné N st., externá forma) L 2 Mgr. Michaela Vargová, PhD. 16.02.2026 09.12.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 2 on-site learning 4 N on-site learning true D, N 1257018 1 P lecturer Michaela Vargová Mgr. Michaela Vargová, PhD. vargova325@uniba.sk Slovak SK Slovak Slovak L 4 ABS 38 97.44 NEABS 1 2.56 39 2 145963 B 2-prUMAx-205 FMFI.KAG/2-prUMAx-205/23 Algebra (2) 0 Evaluation lecture / independent work 16s / 6s 3 (rozširujúce štúdium, iné N st., externá forma) Z 2 Mgr. Tomáš Rusin, PhD. 16.02.2026 28.08.2024 FMFI.KAG/2-prUMAx-205/21 FMFI.KAG/2-prUMAx-205/21 - Set and Number Theory (Algebra 1) 2-prUMAx-205 - Set and Number Theory (Algebra 1) 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná 130143 FMFI.KAG/2-prUMAx-205/21 2-prUMAx-205 Set and Number Theory (Algebra 1) A 4966 prUMA/x rozširujúce štúdium matematiky Z 2 on-site learning 3 N on-site learning true D, N 1006036 1 P lecturer Tomáš Rusin Mgr. Tomáš Rusin, PhD. rusin3@uniba.sk Slovak SK Slovak Slovak Z 3 <_L_> Recommended literature

Linear Algebra / Jim Hefferon, http://joshua.smcvt.edu/linearalgebra, 2020

 <_PA_> Conditions for completion of course

Final assessment: written exam

Passing grade: 60%

 <_SO_> Brief outline of the course

Systems of linear equations, Euclidean vector spaces, linear combinations, linear subspaces , linear span, linear independence, basis, dimension, linear maps and their matrix representations, matrix multiplication.

 <_VH_> Weighting of course assessment (continuous/final)

Weight of the course work / exam: 0/100

 <_VV_> Learning outcomes

Students will become familiar with the basic notions and methods of linear algebra.

 ABS 39 97.5 NEABS 1 2.5 40 2 145965 B 2-prUMAx-206 FMFI.KAG/2-prUMAx-206/23 Algebra (3) 0 Evaluation lecture / independent work 12s / 4s 4 (rozširujúce štúdium, iné N st., externá forma) L 2 Mgr. Tomáš Rusin, PhD. 16.02.2026 10.09.2024 FMFI.KAG/2-prUMAx-206/21 FMFI.KAG/2-prUMAx-206/21 - Algebra (2) 2-prUMAx-206 - Algebra (2) 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 12s prezenčná independent work 4s prezenčná 130145 FMFI.KAG/2-prUMAx-206/21 2-prUMAx-206 Algebra (2) A 4966 prUMA/x rozširujúce štúdium matematiky L 2 on-site learning 4 N on-site learning true D, N 1006036 1 P lecturer Tomáš Rusin Mgr. Tomáš Rusin, PhD. rusin3@uniba.sk Slovak SK Slovak Slovak L 4 <_PA_> Conditions for completion of course

Final assessment: written exam

Passing grade: 60%

 <_SO_> Brief outline of the course

Elementary matrices, inverse matrix, determinant, dot product, lengths and angles, Cauchy-Schwarz inequality, elementary number theory, Euclidean algorithm, primes and prime decomposition.

 <_VH_> Weighting of course assessment (continuous/final)

Weight of the course work / exam: 0/100

 <_VV_> Learning outcomes

Students will become familiar with several topics in linear algebra and elementary number theory.

 ABS 39 95.12 NEABS 2 4.88 41 2 145964 B 2-prUMAx-211 FMFI.KDMFI/2-prUMAx-211/23 Probability Measure and Mathematical Statistics (1) 0 Evaluation lecture / independent work 12s / 4s 3 (rozširujúce štúdium, iné N st., externá forma) Z 2 doc. PaedDr. Peter Vankúš, PhD. 16.02.2026 15.05.2023 FMFI.KDMFI/2-prUMAx-211/21 FMFI.KDMFI/2-prUMAx-211/21 - Revision of Advanced Secondary-school Mathematics (2) 2-prUMAx-211 - Revision of Advanced Secondary-school Mathematics (2) 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 12s prezenčná independent work 4s prezenčná 130150 FMFI.KDMFI/2-prUMAx-211/21 2-prUMAx-211 Revision of Advanced Secondary-school Mathematics (2) A 4966 prUMA/x rozširujúce štúdium matematiky Z 2 on-site learning 3 N on-site learning true N 1021955 1 P lecturer Peter Vankúš doc. PaedDr. Peter Vankúš, PhD. vankus1@uniba.sk Slovak SK Slovak Slovak Z 3 ABS 39 100.0 NEABS 0 0.0 39 2 145961 B 2-prUMAx-212 FMFI.KDMFI/2-prUMAx-212/23 Didactics of Mathematics (1) 0 Evaluation lecture / independent work 16s / 6s 2 (rozširujúce štúdium, iné N st., externá forma) L 1 doc. PaedDr. Mária Slavíčková, PhD. 16.02.2026 15.05.2023 FMFI.KDMFI/2-prUMAx-212/21 FMFI.KDMFI/2-prUMAx-212/21 - Didactics of Mathematics (1) 2-prUMAx-212 - Didactics of Mathematics (1) 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná 130149 FMFI.KDMFI/2-prUMAx-212/21 2-prUMAx-212 Didactics of Mathematics (1) A 4966 prUMA/x rozširujúce štúdium matematiky L 1 on-site learning 2 N on-site learning true D, N 1040257 1 P lecturer Mária Slavíčková doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk Slovak SK Slovak Slovak L 2 ABS 39 100.0 NEABS 0 0.0 39 2 145995 B 2-prUMAx-213 FMFI.KDMFI/2-prUMAx-213/23 Didactics of Mathematics (3) 0 Evaluation lecture / independent work 16s / 6s 5 (rozširujúce štúdium, iné N st., externá forma) Z 3 Mgr. Michaela Vargová, PhD., Mgr. Monika Porkertová, PhD. 16.02.2026 15.05.2023 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 3 on-site learning 5 N on-site learning true D, N 1257018 1 P lecturer Michaela Vargová Mgr. Michaela Vargová, PhD. vargova325@uniba.sk Slovak 1035122 2 P lecturer Monika Porkertová Mgr. Monika Porkertová, PhD. porkertova1@uniba.sk Slovak SK Slovak Slovak Z 5 ABS 12 100.0 NEABS 0 0.0 12 2 130151 B 2-prUMAx-214 FMFI.KMANM/2-prUMAx-214/21 Seminar in History of Mathematics (1) 0 Evaluation lecture / independent work 16s / 6s 3 (rozširujúce štúdium, iné N st., externá forma) Z 2 doc. RNDr. Zbyněk Kubáček, CSc. 16.02.2026 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 2 on-site learning 3 N on-site learning true D, N 1001884 1 P lecturer Zbyněk Kubáček doc. RNDr. Zbyněk Kubáček, CSc. kubacek1@uniba.sk Slovak SK Slovak Slovak Z 3 ABS 39 100.0 NEABS 0 0.0 39 2 130135 B 2-prUMAx-221 FMFI.KDMFI/2-prUMAx-221/21 Teaching Practice 0 Evaluation practice 20s 3, 4 (rozširujúce štúdium, iné N st., externá forma) 2 Mgr. Michaela Vargová, PhD., Mgr. Emília Miťková, PhD. 16.02.2026 09.12.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk practice 20s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky 2 on-site learning 3, 4 N on-site learning true N 1257018 1 P lecturer Michaela Vargová Mgr. Michaela Vargová, PhD. vargova325@uniba.sk Slovak 1037199 2 P lecturer Emília Miťková Mgr. Emília Miťková, PhD. mitkova14@uniba.sk Slovak SK Slovak Slovak 3., 4. ABS 39 100.0 NEABS 0 0.0 39 2 145966 B 2-prUMAx-301 FMFI.KDMFI/2-prUMAx-301/23 Probability Measure and Mathematical Statistics (2) 0 Evaluation lecture / independent work 16s / 6s 5 (rozširujúce štúdium, iné N st., externá forma) Z 3 Mgr. Lívia Rosová, PhD., doc. Mgr. Lenka Filová, PhD. 16.02.2026 15.05.2023 FMFI.KDMFI/2-prUMAx-301/21 FMFI.KDMFI/2-prUMAx-301/21 - Probability Measure and Mathematical Statistics 2-prUMAx-301 - Probability Measure and Mathematical Statistics 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná 130146 FMFI.KDMFI/2-prUMAx-301/21 2-prUMAx-301 Probability Measure and Mathematical Statistics A 4966 prUMA/x rozširujúce štúdium matematiky Z 3 on-site learning 5 N on-site learning true N 1099572 1 P lecturer Lívia Rosová Mgr. Lívia Rosová, PhD. lessova8@uniba.sk Slovak 1014351 2 P lecturer Lenka Filová doc. Mgr. Lenka Filová, PhD. filova2@uniba.sk Slovak SK Slovak Slovak Z 5 ABS 37 97.37 NEABS 1 2.63 38 2 130153 B 2-prUMAx-311 FMFI.KDMFI/2-prUMAx-311/21 Methods for Solving Mathematical Tasks 0 Evaluation lecture / independent work 16s / 6s 5 (rozširujúce štúdium, iné N st., externá forma) Z 3 Mgr. Emília Miťková, PhD. 16.02.2026 14.12.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 16s prezenčná independent work 6s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 3 on-site learning 5 N on-site learning true D, N 1037199 1 P lecturer Emília Miťková Mgr. Emília Miťková, PhD. mitkova14@uniba.sk Slovak SK Slovak Slovak Z 5 ABS 37 100.0 NEABS 0 0.0 37 2 130154 B 2-prUMAx-314 FMFI.KMANM/2-prUMAx-314/21 Seminar in History of Mathematics (2) 0 Evaluation lecture / independent work 12s / 4s 4 (rozširujúce štúdium, iné N st., externá forma) L 2 doc. RNDr. Zbyněk Kubáček, CSc. 16.02.2026 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 12s prezenčná independent work 4s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky L 2 on-site learning 4 N on-site learning true D, N 1001884 1 P lecturer Zbyněk Kubáček doc. RNDr. Zbyněk Kubáček, CSc. kubacek1@uniba.sk Slovak SK Slovak Slovak L 4 ABS 39 100.0 NEABS 0 0.0 39 2 130155 Z 2-prUMAx-901 FMFI.KDMFI/2-prUMAx-901/21 Diploma Thesis Project 0 Evaluation lecture 4s 5 (rozširujúce štúdium, iné N st., externá forma) Z 3 RNDr. Monika Dillingerová, PhD. 16.02.2026 12.12.2022 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk lecture 4s prezenčná A 4966 prUMA/x rozširujúce štúdium matematiky Z 3 on-site learning 5 N on-site learning true D, N 1051731 1 P lecturer Monika Dillingerová RNDr. Monika Dillingerová, PhD. dillingerov1@uniba.sk Slovak SK Slovak Slovak Z 5 ABS 36 100.0 NEABS 0 0.0 36 2 130156 O 2-prUMAx-911 FMFI.KDMFI/2-prUMAx-911/21 Thesis Defence 0 State Examination - Thesis Defence (rozširujúce štúdium, iné N st., externá forma) 16.02.2026 16.06.2023 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk A 4966 prUMA/x rozširujúce štúdium matematiky -1 on-site learning N on-site learning true N NV 0 0.0 V 34 100.0 34 2 130157 S 2-prUMAx-912 FMFI.KDMFI/2-prUMAx-912/21 Mathematics 0 State Examination (rozširujúce štúdium, iné N st., externá forma) 16.02.2026 12.09.2023 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk A 4966 prUMA/x rozširujúce štúdium matematiky -1 on-site learning N on-site learning true D, N NV 4 11.76 V 30 88.24 34 2 130158 S 2-prUMAx-913 FMFI.KDMFI/2-prUMAx-913/21 Didactics of Mathematics 0 State Examination (rozširujúce štúdium, iné N st., externá forma) 16.02.2026 05.09.2023 8 Person responsible for the delivery, development and quality of the study programme doc. PaedDr. Mária Slavíčková, PhD. slavickova1@uniba.sk A 4966 prUMA/x rozširujúce štúdium matematiky -1 on-site learning N on-site learning true D, N NV 1 2.94 V 33 97.06 34 2