Real Analysis Fall 2017

Class Schedule

WeekTopicNotes and Homework
1: 11, 15 Sep
Topology
2: 18, 22 SepTopology, Mean value theorem

Topology notes
3: 25, 29 SepMean value-theorem, sequences and seriesMean value theorem notes
4: 2, 6 OctTaylor series Sequences and series notes

HW 1 due on 2 Oct
5: 9, 13 OctFunction regularity, Weierstrass approximation theorem Convergence of functions notes
6: 16, 20 OctContraction mapping principle, differential equationsHW 2 due on 16 Oct
7: Recess (23 - 27 Oct)
8: 30 Oct, 3 NovMidterm (30 Oct)
9: 6, 10 NovMeasure theoryHW 3 due on 6 Nov
10: 13, 17 NovIntegrationMeasure and integration notes


11: 20, 24 NovConvergence theorems HW 4 due on 20 Nov
12: 27 Nov, 1 DecBanach and Hilbert spacesNotes on convergence theorems, convexity and Hilbert spaces

Probability notes
13: 4, 8 DecProbability HW 5 due on 4 Dec
14: 11, 13 DecFinals