Welcome in Collection of Solved Problems in Mathematics

This collection contains tasks for exercises in mathematics, primarily aimed at first-year students of computer science at the Faculty of Mathematics and Physics, Charles University. The collection contains task assignments, instructions for solutions and results.

Level of the task is indicated by an icon in the right upper corner.

Difficulty level

Easy task (using definitions and simple reasoning) Easy task (using definitions and simple reasoning)

Moderate task Moderate task

Hard task Hard task

There also indicated whether the task belongs to some of the following categories.

Reasoning task Reasoning task

Routine calculation training Routine calculation training

Proving or derivation task Proving or derivation task

Solution require uncommon idea  Solution require uncommon idea

Complex task Complex task

Task with theory Task with theory

Open problem Open problem

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Literature

  • J. Bečvář: Sbírka úloh z lineární algebry, Praha: SPN, 1975.
  • M. Hladík: Vzorové cvičení z lineární algebry, 2019.
  • B. P. Děmidovič, Sbírka úloh a cvičení z matematické analýzy, Fragment, 2003.
  • J. Matoušek, J. Nešetřil: Kapitoly z diskrétní matematiky, Karolinum Praha 2000.
  • P. Kovář: Diskrétní matematika a úvod do teorie grafů, řešené příklady k procvičení, VŠB 2024.

Some tasks are taken from public educational resources, competition archives, etc.

Several tasks and their solutions originate from the KAM and IÚUK MFF UK staff and students. Significantly contributed: J. Fiala, M. Mareš, O. Pangrác and M. Tancer.

In case of problems or ideas how to improve the Collection please contact the administrator.