|
|
|
||
Last update: doc. RNDr. Pavel Töpfer, CSc. (26.01.2018)
|
|
||
Last update: prof. RNDr. Aleš Pultr, DrSc. (25.09.2020)
The credit will be given for active participation in tutorials, homeworks and successful completion of tests (the exact weight of each of these criteria is determined by the TA). The nature of the first two requirements does not make it possible for repeated attempts for the credit. The teacher can, however, determine alternative conditions for replacing the missing requirements.
The exam oral, possibly in distance form. Obtaining the credit is necessary before the final exam. |
|
||
Last update: doc. RNDr. Martin Klazar, Dr. (26.11.2012)
T. M. Apostol, Mathematical Analysis, Addison-Wesley, 1974 (2nd edition).
Ch. Ch. Pugh, Real Mathematical Analysis, Undergraduate Text in Mathematics, Springer, 2002.
T. Tao, Analysis I, Hindustan Book Agency, 2006.
T. Tao, Analysis II, Hindustan Book Agency, 2006.
V. A. Zorich, Mathematical Analysis I, Universitext, Springer, 2004.
V. A. Zorich, Mathematical Analysis II, Universitext, Springer, 2004. |
|
||
Last update: Mgr. Tereza Klimošová, Ph.D. (18.02.2019)
Exam will be written. A student must obtain credit from the tutorial to take the exam. The material for the exam corresponds to the syllabus to the extent to which topics were covered during lectures and tutorials and in reading assignments. Ability to generalize and apply theoretical knowledge to solving problems will be required. |
|
||
Last update: doc. RNDr. Pavel Töpfer, CSc. (26.01.2018)
More details of integrals of functions of one variable: partial fractions decomposition, simple standard substitutions, fundamental theorem of calculus.
Integrals of functions of several variables: Riemann's integral on a box, Fubini's theorem, calculation by repeated integration.
Differential calculus of functions of several variables:
Metric spaces: a framework for the whole analysis, limits, continuity, informatively topology. |