MAA6407

Spring 2017 Section 1D18

Current Announcements

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  • The syllabus for the qualifying exam – from the topics in Conway:
      Chapters 1-5; 6.1,2; 7.1-4; 8; 9.1; 10; 11.1-2; 12.
  • Monday 3 April. Finish the review of covering spaces and began analytic covering spaces (of open connected subsets of the complex plane).
  • Friday 31 March. More review of the theory of covering spaces.
  • Wednesday 29 March. Student presentation.
  • Monday 27 March. Began a review of the theory of covering spaces.
  • Friday 24 March. Finished our discussion of function theory associated to (nice) multiply connected domains by obtaining a necessary and sufficient condition in terms of the harmonic measures for the boundary for a set of points to be the zeros of an inner function.
  • Wednesday 22 March. Recap of Section 38. Begin Section 39.
  • Monday 20 March. Section 38.
  • Notes last updated Sunday 19 March. Typos fixed and other upgrades in Section 38. Added Section 39.
  • Monday 13-Friday 17 March. Student presentations.
  • Friday 3 March, Finished Section 37. Previewed Section 38.
  • Notes last updated Thursday 2 March at 11:35. Reworking of Section 37; some typos fixed.
  • Wednesday 1 March, finished section 36 and began section 37.
  • Notes updated Wednesday 1 March at 1:45 pm.

syllabus

problems

latex

term calendar

6406/7 course notes

Old News

  • Notes updated 27 February at 4:15 pm.
  • Monday 27 February. Finished Section 35 and began Section 36.
  • Friday 24 February. Section 34 on Harmonic conjugates and began Section 35 on Green’s Theorem.
  • Wednesday 22 February. Caratheodory-Montel and the Great Picard Theorems.
  • Monday 20 February. Finished the Little Picard and Schottky Theorems.
  • Friday 17 February. Began The Little Picard Theorem.
  • Notes last updated Thursday 16 February at 4:45 pm. Typos fixed and material added to Section 31.
  • Wednesday 15 February. Finished Section on Bloch’s Theorem. Began Section 31 on the Little Picard Theorem.
  • Monday 13 February. A last look at Hadamard factorization. Began Section 30, up through Lemma 30.5.
  • Notes updated February 11 at 11:50 am. Typos fixed, Section 31 added.
  • Friday 10 February. Finished the proof of Hadamard factorization.
  • Friday 3 February. Section 27.
  • Notes updated Friday 3 February at 2:55 pm.
  • Wednesday 1 February. Section 26.
  • Monday 30 January. Section 25.
  • Friday 27 January. Finished Section 24.2.
  • Wednesday 25 January. Finished Section 23 and begin Section 24 up through Theorem 24.2.
  • Notes updated 25 January at noon. Added Section 25. Numerous typos fixed and expository upgrades since the last update.
  • Monday 23 January. Section 23, minus a bit of the proof of Theorem 23.4.
  • Friday 20 January. Subsection 22.1.
  • Wednesday 18 January. Continue in Section 22, starting with Proposition 22.3 and continuing through Theorem 22.6.
  • Notes updated Wednesday 18 January at 2:48. Typos fixed, subsection 22.1 added, material added to Section 24.
  • Monday 16 January. ML King holiday. No class.
  • Friday 13 January. Finished Section 21 starting with Corollary 21.4. Begin Section 22 covering up through Lemma 22.2.
  • Notes updated 11 January at 4:15 pm. Typo patrol.
  • Wednesday 11 January. Finished the proof of Theorem 21.2 and continued in Section 21 through Theorem 21.3.
  • Monday 9 January. Covered from Proposition 20.6 and through the statement of Theorem 21.2.
  • Notes updated Monday 9 January at 1:15 pm. Typos fixed in the last part of Section 20 and Section 21.
  • Notes updated Friday 6 January at 4:05 pm. Typos fixed and upgrades in Section 20.
  • Friday 6 January. Began Section 20, covering up through Lemma 20.5.
  • Wednesday 4 January. Section 19 (the Schwarz reflection principle).
  • Notes last updated Wednesday 4 January. Sections added.