0 Course diary
Weekly diary for the lectures:
| 18.09.2023 | natural numbers, integers, rational / real numbers, basics of set theory |
| 19.09.2023 | operations ons sets, basics on first order logic, statements, quantifiers |
| 20.09.2023 | absolute value, distance in the set of real numbers, introduction to functions |
| 25.09.2023 | canceled |
| 26.09.2023 | injective, surjective, bijective functions, domai, range, examples |
| 27.09.2023 | even, odd functions, monotonically increasing, decreasing, linear function |
| 02.10.2023 | equation of a line, quadratic functions, parabola, absolute value function, power function, even/odd functions |
| 03.10.2023 | exponential functions, lograrithmic function, composite function, sequences, graphical representation |
| 04.10.2023 | limits of sequences, existence, convergence, divergence, theorem of uniqueness, absolute value theorem |
| 09.10.2023 | operations with limits, undetermined orms, factorial |
| 10.10.2023 | notable limits, comparison theorem, monotony, Euler sequence |
| 11.10.2023 | limits, examples, geometric sum, limit of functions |
| 16.10.2023 | computation of limits, undetermined forms, notable limits |
| 17.10.2023 | computations of limit II, intuitive limits, continuity |
| 18.10.2023 | theorems on continuity, slope, incremental ratio, derivatives |
| 23.10.2023 | computation of derivatives, derivatives of elementary functions, operations with derivatives |
| 24.10.2023 | properties of the derivative, non-differentiability, Taylor series (first order) |
| 25.10.2023 | continuity, monotinicity, Role's theorem, Lagrange's mean value theorem, l'Hopital rule |