Hide menu

TATA34 Lectures


Schedule for 2025. (Intended plan, may be changed.)
In Hopningspunkten unless said otherwise below.
Lecture Date Subject Course book Metric space notes
11/9 13-15 The real numbers1.1-1.4
25/9 13-15 Infinite sets, Limits of sequences 1.4-1.6, 2.2-2.3 + Kardinalitet
38/9 13-15 T11 Limits of sequences2.4-2.6
415/9 13-15 U4 Series, The Cantor set 2.7-2.8, 3.1
16/9 Hand-in round 1 *
522/9 15-17 The Cantor function, topology3.2 2.1-2.6
26/9 13-15 Discussion on exercises round 1
629/9 15-17 Topology 3.3-3.4 4, 2.7
30/9 Hand-in round 2 *
76/10 13-15 T15 Limits and continuity, Connected sets3.4, 4.2-4.4 3, 5, 6
10/10 13-15 Discussion on exercises round 2
813/10 13-15 A35 Fixed point theorems4.5, Exercise 4.3.9
15/10 Hand-in round 3 *
93/11 15-17 Derivatives 5.2-5.3
1010/11 15-17 Derivatives, Uniform convergence6.2-6.4, 5.4
11/11 Hand-in round 4 *
1117/11 15-17 Power series6.5
21/11 13-15 Discussion on exercises round 3 (and 4)
1224/11 15-17 The Riemann integral 7.2-7.6
24/11 Hand-in round 5 *
131/12 15-17 The Riemann integral, Curves 7.2-7.6+ En konstig kurva 6.1
7/12 Hand-in round 6 *
8/12 15-17 Discussion on exercises round 4 (and 5)
12/12 13-15 Discussion on exercises round 5 (and 6)
* It is ok to hand in your solutions in the course's mailbox no later than 10.15 the day after the deadline listed above.
The book (Abbott) is mainly considering R while I, during the lectures, will discuss many results more generally on metric spaces, in particular Rn, (when it doesn't cost too much). See the notes An introduction to metric spaces, by Andersson-Björn-Wiman for the metric space theory included in this course.

Page responsible: anders.bjorn@liu.se
Last updated: 2025-08-27