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TATA34 Lectures


Schedule for 2024. (Intended plan, may be changed.)
N.B. The course will be given on campus (as long as this isn't strictly forbidden).
Lecture Date Subject Course book Metric space notes
12/9 13-15 The real numbers1.1-1.4
26/9 13-15 Infinite sets, Limits of sequences 1.4-1.6, 2.2-2.3 + Kardinalitet
39/9 13-15 Limits of sequences2.4-2.6
416/9 15-17 Series, The Cantor set 2.7, 3.1
16/9 Hand-in round 1 *
523/9 15-17 The Cantor function, topology3.2 2.1-2.6
27/9 13-15 Discussion on exercises round 1
29/9 Hand-in round 2 **
630/9 15-17 Topology 3.3-3.4 4, 2.7
716/10 8-10 Limits and continuity, Connected sets4.2-4.4 3, 5, 6
16/10 Hand-in round 3 *
18/10 13-15 Discussion on exercises round 2
821/10 13-15 Fixed point theorems4.5, Exercise 4.3.9
94/11 13-15 Derivatives, Uniform convergence 5.2-5.3, 6.2
1011/11 13-15 Derivatives, Uniform convergence6.3-6.4, 5.4
12/11 Hand-in round 4 *
1118/11 13-15 Power series6.5
1225/11 13-15 The Riemann integral 7.2-7.6
25/11 15-17 Discussion on exercises round 3 (and 4)
25/11 Hand-in round 5 *
132/12 13-15 The Riemann integral, Curves 7.2-7.6+ En konstig kurva 6.1
8/12 Hand-in round 6 ***
9/12 13-15 Discussion on exercises round 4 (and 5)
13/12 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.
** For round 2 it is ok to hand in your solutions in the course's mailbox no later than 15.00 the day after the deadline listed above, or at the very beginning of the lecture starting at 15.15.
*** For round 6 it is ok to hand in your solutions in the course's mailbox no later than 13.00 the day after the deadline listed above, or at the very beginning of the lecture starting at 13.15.

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: 2024-10-22