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TATA34 Lectures


Schedule for 2022. (Intended plan, may be changed.)
N.B. The course will be given on campus (as long as this isn't strictly forbidden).
Lecture Date SubjectCourse book
129/8 13-15 The real numbers1.1-1.4
231/8 8-10 Infinite sets, Limits of sequences 1.4-1.6, 2.2-2.3 + Kardinalitet
32/9 13-15 Limits of sequences2.4-2.6
412/9 13-15 Series, The Cantor set 2.7, 3.1
15/9 Hand-in round 1 *
516/9 13-15 The Cantor function, topology3.2
619/9 15-17 Topology 3.3-3.4
23/9 13-15 Discussion on exercises round 1
726/9 15-17 Limits and continuity4.2-4.5
28/9 Hand-in round 2 *
83/10 15-17 Derivatives 5.2-5.4
7/10 13-15 Discussion on exercises round 2
910/10 13-15 Fixed point theoremsExercise 4.3.9
11/10 Hand-in round 3 *
6/11 Hand-in round 4 *
107/11 13-15 Uniform convergence6.2-6.4
7/11 15-17 Discussion on exercises round 3
119/11 8-10 Power series6.5
1214/11 13-15 The Riemann integral 7.2-7.6
27/11 Hand-in round 5 *
1328/11 13-15 The Riemann integral 7.2-7.6+ En konstig kurva
11/12 Hand-in round 6 *
12/12 13-15 Discussion on exercises round 4 (and 5)
16/12 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 am 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: 2022-10-20