Math 7351 |
Real Variables II |
Spring 2005 |

Class: |
Dunn Hall 203, MWF 11:30am-12:25pm |

Instructor: |
Paul Balister |

E-mail: |
pbalistr@memphis.edu |

Website: |
http://www.msci.memphis.edu/~pbalistr/7351.html |

Office: |
Dunn Hall 345, Tel: 678-3138 |

Office Hours: |
Fridays 1:30pm-2:30pm (or by appointment) |

Textbook: |
Real Analysis, 3rd Ed., by H.L. Royden. Chapters 7-8,10-13,16. |

Prerequisites: |
Math 7350. |

Notes for 7350: |
Set Theory and Logic (180K pdf file). Real numbers and Lebesgue measure (250K pdf file). |

Notes for 7351: |
Metric spaces and Banach spaces (190K pdf file). General measure theory (not complete) (160K pdf file). |

Material: |
Metric and Topological spaces, Baire category theorem, Hahn Banach theorem, uniform boundedness principle, closed graph theorem, general measure, signed measures, Radon-Nikodym theorem, product measures, Fubini theorem. |

Grades: |
Based on homework assignments (~55%), two take-home exams (~15%), and comprehensive, in class, final (~30%). |

Plus/Minus grades: |
I will use these. |

Final Exam: |
May 2, Monday, 10:30am. |