MAT3, Mat-Øk 3, Mat-Tek3 -- Efterår 2014
Analyse 1
2. kursusgang
Fredag den 5. september 2014, kl. 08:15
Sted: Rum NJV14, 4-117.
Dagens program
- 08:15-10:15
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Repetition og forelæsning: stærk og formal konvergens af følger af endelige decimaltal, konstruktion af mængden af reelle tal.
- 10:30--12:00
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Opgaveregning:
1. Read carefully the proofs of Lemma 1.5 and Theorem 1.6 from my notes.
2. Let $S=\{1; 1,1; 1,12; 1,121; 1,1212; 1,12121;...\}$. Find (if possible) inf(S), sup(S), max(S) and min(S).
3. Show in detail that the addition and multiplication of terminating decimals defined in paragraph 1.1.3 of my notes are
commutative, associative, and distributive. One can assume that these properties hold true for integers.
Literatur: afsnit 1.2.1--1.2.3 fra mine noter.
Disse sider vedligeholdes af
Horia Cornean.