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
Repetition og forelæsning: stærk og formal konvergens af følger af endelige decimaltal, konstruktion af mængden af reelle tal.
10:30--12:00
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.