SUNY Stony Brook

Office: 4-112 Mathematics Building

Phone: (631)-632-8274

Dept. Phone: (631)-632-8290

FAX: (631)-632-7631

Time and place: MWF 11:45-12:40 Light Engineering 154

We will use the text `Harmonic Measure' by by John Garnett and Don Marshall, , published by Cambridge University Press.

This is a second course in one complex variable. We start with the hyperbolic metric on the disk, the Dirichlet problem on general planar domains and extremal length. We then will discuss the boundary behavior of conformal maps and connections to other topics such as quasiconformal maps, probability theory and fractal geometry.

Homework problems will be asssigned from the text each week and will be handed in at class each Tuesday.

Although it is not required, you may wish to consider writing up your solution in TeX, since eventually you will probably use this to write your thesis and papers. Here are a sample LaTex file and what the resulting output looks like . You can use the first file as a template to create your own TeX files. Numerous guides exist online that give the basic rules and commands.

Chapter I homework: 6, 9 25

Chapter II homework: 8a, 11abc

Chapter III homework: 1i-iii, 12

Important Dates: Sept 5: last day to drop or withdraw without penalty Sept 6: Labor Day Sept 10: Rosh Hashanah Oct 22: last day to drop down or move up in MAT classes Oct 29: last day to P/NC Nov 24-25: Thanksgiving break Dec 13: Final exam, 11:15-1:45.

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Link to history of mathematics