2006-7 G13MIN Lecture Notes and other useful documents

Module Blow-by-blow accounts

• Blow-by-blow account of the module as taught in 2006-7: pdf
• Blow-by-blow account of the module as taught in 2005-6: pdf

Lecture Notes, Slides and Podcasts

• Introductory Material
  • Revision of material from earlier modules: pdf
  • Annotated slides on uniform convergence from G12MAN Mathematical Analysis: pdf
  • Functions, sets, countability and uncountability: printed notes (as issued), slides (as printed notes, but with a very large font)
  • Beyond Infinity? (A story about Hilbert's Hotel, also known as Hilbert's Grand Hotel)
• Main lecture notes
  • Section 1: The Extended Real Line
    • Printed notes (as issued in class): pdf
    • Slides (a subset of the printed notes, with a very large font): pdf
    • Annotated slides (annotations start from Definition 1.7): pdf
  • Section 2: Classes of Sets
    • Printed notes: pdf
    • Slides: pdf
    • Annotated slides (now complete): pdf
  • Miscellaneous comments, start of Lecture 12 (23/2/07): pdf
  • A non-Borel set
    • Printed notes: pdf
    • Slides: pdf
    • Annotated slides (now complete): pdf
  • Section 3: Measures and Measure Spaces
  • Printed notes: pdf
  • Slides: pdf
  • Annotated slides (now complete): pdf
  • Section 4: The Integral
    • Printed notes: pdf
    • Slides: pdf
    • Annotated slides (now complete): pdf
    • (Optional) Convergence from below suffices, by J. F. Feinstein, Irish Mathematical Society Bulletin, 59 (2007), 65-70: pdf
  • Section 5
    • Printed notes: pdf
    • Annotated notes (as written in lectures): pdf
• Audio podcasts (see also annotated slides, handwritten/annotated notes, etc. above)
  • Lecture 5, first half (end of Introductory Section 2, including Cantor's diagonalization argument): mp3, m3u file for streaming mp3
  • Lecture 5, second half (Section 1, Extended Real Line, up to and including Definition 1.1): mp3, m3u file for streaming mp3
  • Lecture 6: unfortunately, due to battery failure, this recording failed.
  • Lecture 7 (Section 1, Definition 1.7 to end of section): mp3, m3u file for streaming mp3
  • Lecture 8 (Section 2, up to and including Example 2.2): mp3, m3u file for streaming mp3
  • Lecture 9 (Example 2.2 to Definition 2.8): mp3, m3u file for streaming mp3
  • Lecture 10 (Definition 2.8 to Definition 2.11): mp3, m3u file for streaming mp3
  • Lecture 11 (Definition 2.11 to end of Section 2): mp3, m3u file for streaming mp3
  • first 10 minutes of Lecture 12 (Final comments on Section 2): mp3, m3u file for streaming mp3
  • Rest of Lecture 12 (A non-Borel set, Slides 1-2 + annotations): mp3, m3u file for streaming mp3
  • Lecture 13 (Conclusion of A non-Borel set): mp3, m3u file for streaming mp3
  • Lecture 14 (Section 3, up to and including Proposition 3.4): mp3, m3u file for streaming mp3
  • Lecture 15 (Section 3, from Proposition 3.4 to Proposition 3.6): mp3, m3u file for streaming mp3
  • Lecture 16 (Fom Proposition 3.6 to end of Section 3): mp3, m3u file for streaming mp3
  • Lecture 17 (Section 4, up to and including Definition 4.5): mp3, m3u file for streaming mp3
  • Lecture 18 (From Definition 4.5 to Proposition 4.10): mp3, m3u file for streaming mp3
  • Lecture 19 (From Proposition 4.10 to Corollary 4.14): mp3, m3u file for streaming mp3
  • Lecture 20 (From Corollary 4.14 to Lemma 4.17): mp3, m3u file for streaming mp3
  • Lecture 21 (From Lemma 4.17 to Definition 4.20): mp3, m3u file for streaming mp3
  • Lecture 22 (From Definition 4.20 to Proposition 4.23): mp3, m3u file for streaming mp3
  • Lecture 23 (From Proposition 4.23 to 4.30 [MCT]): mp3, m3u file for streaming mp3
  • Lecture 24 (From 4.30 to 4.31): mp3, m3u file for streaming mp3
  • Lecture 25 (From 4.32 to 4.34): mp3, m3u file for streaming mp3
  • Lecture 26 (From 4.34 to 4.38, last ten minutes faulty, i.e., blank): mp3, m3u file for streaming mp3
  • Lecture 27 (From 4.38 to 4.39): mp3, m3u file for streaming mp3
  • Lecture 28 (From 4.39 to end of Section 4): mp3, m3u file for streaming mp3
  • Lecture 29 (From start of Section 5 to Theorem 5.4): mp3, m3u file for streaming mp3
  • Lecture 30 (From 5.5 to 5.11): mp3, m3u file for streaming mp3
  • Lecture 31 (From 5.12 to 5.23): mp3, m3u file for streaming mp3
  
  

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