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TATA34 Lectures


Schedule for 2026. (Intended plan, may be changed.)
Lecture Date Subject Course book Metric space notes
131/8 The real numbers1.1-1.4
24/9 Infinite sets, Limits of sequences 1.4-1.6, 2.2-2.3 + Kardinalitet
37/9 Limits of sequences2.4-2.6
414/9 Series, The Cantor set 2.7-2.8, 3.1
15/9 Hand-in round 1 *
521/9 The Cantor function, topology3.2 2.1-2.6
25/9 13-15 Discussion on exercises round 1
628/9 Topology 3.3-3.4 4, 2.7
29/9 Hand-in round 2 *
75/10 Limits and continuity, Connected sets3.4, 4.2-4.4 3, 5, 6
9/10 13-15 Discussion on exercises round 2
812/10 Fixed point theorems4.5, Exercise 4.3.9
13/10 Hand-in round 3 *
92/11 15-17 Derivatives 5.2-5.3
109/11 15-17 Derivatives, Uniform convergence6.2-6.4, 5.4
10/11 Hand-in round 4 *
1116/11 15-17 Power series6.5
20/11 13-15 Discussion on exercises round 3 (and 4)
1223/11 15-17 The Riemann integral 7.2-7.6
23/11 Hand-in round 5 * (note Monday)
1330/11 15-17 The Riemann integral, Curves 7.2-7.6+ En konstig kurva 6.1
6/12 Hand-in round 6 * (note Sunday)
7/12 15-17 Discussion on exercises round 4 (and 5)
11/12 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: 2026-04-10