SubjectsSubjects(version: 901)
Course, academic year 2021/2022
  
Math++ - NMAX071
Title: Matematika++
Guaranteed by: Student Affairs Department (32-STUD)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019
Semester: summer
E-Credits: 6
Hours per week, examination: summer s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Is provided by: NMAI071
Additional information: http://kam.mff.cuni.cz/Matematika++
Note: you can enroll for the course repeatedly
Guarantor: doc. RNDr. Martin Tancer, Ph.D.
doc. Mgr. Robert Šámal, Ph.D.
Ida Kantor, M.Sc., Ph.D.
Class: Informatika Mgr. - volitelný
Classification: Informatics > Informatics, Software Applications, Computer Graphics and Geometry, Database Systems, Didactics of Informatics, Discrete Mathematics, External Subjects, General Subjects, Computer and Formal Linguistics, Optimalization, Programming, Software Engineering, Theoretical Computer Science
Mathematics > Discrete Mathematics
Pre-requisite : {NXXX007, NXXX009}
Incompatibility : NMAI071
Interchangeability : NMAI071
Annotation -
Last update: G_I (22.05.2012)
Modern computer science often uses mathematical tools that reach beyond the scope of standard mathematical courses in the bachelor program. This course will present a (somewhat condensed) introduction to several fields of mathematics that proved especially useful in computer science and in discrete mathematics. Computer science applications will be shown as well. This course is suitable for master's students of computer science. The students are assumed to have prior knowledge in the extent of mandatory courses of the bachelor program in computer science.
Course completion requirements -
Last update: doc. Mgr. Robert Šámal, Ph.D. (17.04.2021)

For getting the credit from tutorials, the students are required to get at least 32 points from homework. The total number of available points will be approx. 100. There is no provision for repeated attempts for the credit. Credit from tutorials is a necessary condition for an attempt to pass an exam.

Literature -
Last update: IUUK (22.04.2016)
  • J. Matoušek: Lectures on Discrete Geometry, Springer, 2002.
  • J. Lukeš: Zápisky z funkcionální analýzy, skripta, Karolinum Praha, Univerzita Karlova, 1998, 2002, 2003.
  • J. Lukeš a J. Malý: Míra a integrál, skripta, Univerzita Karlova, 1993, 2002 (anglické vydání 1995, 2005).
  • B.D. MacCluer: Elementary Functional Analysis, Graduate Texts in Mathematics 253, Springer.
  • T. Tao: An introduction to measure theory, Graduate Studies in Mathematics, 126, American Mathematical Society, 2011.
  • H.L. Royden, P.M. Fitzpatrick: Real analysis, Prentice Hall, 2010.
  • Ida Kantor, Jiří Matoušek, Robert Šámal, Mathematics++: Selected Topics Beyond the Basic Courses, AMS, Student Mathematical Library, vol. 75, 2015.

Requirements to the exam -
Last update: doc. Mgr. Robert Šámal, Ph.D. (17.04.2021)

The exam will be oral based on the contents of the lectures. Extra points gained by students by solving problems for tutorials will be considered in favor of the students. The exam in the academic year 2020/21 might be online, depending on the epidemic situation.

Syllabus -
Last update: doc. Mgr. Robert Šámal, Ph.D. (14.02.2018)

The topics of the class will be modified each year. This year the focus will be on topology -- both general topology and algebraic topology.

 
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