SubjectsSubjects(version: 962)
Course, academic year 2024/2025
   Login via CAS
Mathematical Analysis Ia - NUMP001
Title: Matematická analýza Ia
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: winter
E-Credits: 8
Hours per week, examination: winter s.:4/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Adolf Karger, DrSc.
Classification: Mathematics > Real and Complex Analysis
Teaching > Mathematics
Incompatibility : NMAA007, NMUE002
Interchangeability : NMUE002, NMUM101
Is co-requisite for: NUMP006, NUMP005
Is incompatible with: NMAA007, NMAA008, NMAA171, NMAI008, NMAI046, NMAA001, NMUM101, NMUM801, NMAA071
Is interchangeable with: NMAI046, NMAI008, NMUM801, NMAA001, NMUM101, NMAA171
Annotation -
Differential calculus for real functions, number series.
Last update: G_M (09.10.2001)
Syllabus -

Fundamentals of mathematical logic, sets, mappings, rational and real numbers, supremum. functions of one real variable, limits, continuity, first and higher derivatives. Elementary functions, mean value theorem and its consequences. Maxima and minima. Primitive functions, indefinite integral. Integration by parts and by substitution. Integration of rational and irrational functions. Riemann's definite integral, existence theorems.

Last update: T_MUUK (29.04.2005)
 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html