Textbook |
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*Real Analysis* (Fourth edition), by H. Royden and P. Fitzpatrick.

*A Course in Abstract Analysis*, by J. Conway.

General information |
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All lectures and problem sessions will take place in **Haldeman 028**.

Instructor | Pierre Clare, 316 Kemeny Hall |
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Lectures | MWF 8:45 - 9:50 |

Problem sessions | Th 9:00 - 9:50 |

Office hours | Tu, Th 2:00 - 3:30 and by appointment |

Homework and exams |
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- Homework problems will be assigned weekly, to be discussed in class on the next Thursday.
- There will be a midterm examination and a cumulative final.

The midterm will have an in-class and a take-home component. For the latter, you will be expected to use LaTeX to prepare your solutions. Please contact your instructor if you are not familiar with it.

Our librarian**Shirley Zhao**is organizing a minicourse to get you started.

Topic | Documents |
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Metric spaces | problem set, elements of solution |

Arzelà-Ascoli and the Baire Category Theorems | problem set, elements of solution |

Linear operators on Banach spaces | problem set, elements of solution |

Duality | problem set, elements of solution |

Midterm (04/30 - 05/01) | in-class part, elements of solution take-home part, elements of solution |

Weak topologies | problem set, elements of solution |

Banach and C*-algebras | problem set, elements of solution |

Hilbert spaces | problem set, elements of solution |

Fourier theory | problem set, elements of solution |

Final Examination (05/30) | problems, elements of solution |

The Honor Principle |
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Collaboration on homework is permitted and encouraged. Any resource is allowed provided you reference it. But you must write up your solutions by yourself.

Special considerations |
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Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see their instructor as soon as possible.