## MAT 320: Introduction to Analysis
## Stony Brook Spring 2018 |
---|

Sequences and Series, Power Series

All assigned readings below are from Ross's required textbook.

HW11 is due at the start of the recitation on Wednesday, 5/2

Dates |
Topic | Read |
Problem Set |

1/22, M - 1/29, M | Mathematical induction | Chapter 1 | #1 |

The Completeness Axiom | |||

1/30, Tu - 2/5, M | Limits of sequences | Sections 7-9 | #2 |

Limit theorems for sequences | |||

2/6, Tu - 2/12, M | Cauchy sequences | Sections 9-11 | #3 |

Subsequences | |||

2/13, Tu - 2/19, M | More on subsequences | Sections 11,12 | #4 |

lim inf and lim sup | |||

2/20, Tu - 2/26, M | Series | Sections 14-16 | #5 |

Convergence tests for series | |||

2/27, Tu - 2/28, W | Review for Midterm I | Sections 1-5,7-12,14,15 | none |

3/1, Th |
Midterm I: joint for MAT 319 and 320; snow date: 3/6, Tu | ||

3/5, M | Overview of Midterm I; last joint class | ||

3/6, Tu - 3/8, Th | Metric spaces | Section 13 | #6 |

Convergence, compactness | |||

3/12, M - 3/15, Th | no classes, no office hours | ||

3/19, M - 3/26, M | More on compactness | pp171-179 notes |
#7 |

More on completeness, connectedness | |||

3/27, Tu - 4/2, M | Continuous functions | Sections 21,22,17-20 notes |
#8 |

4/3, Tu - 4/4, W | Review for Midterm II | Sections 13,21,22,17-20 notes |
none |

4/5, Th |
Midterm II | ||

4/9, M | Overview of HW8 and Midterm II | ||

4/10, Tu - 4/16, M | Uniform convergence | Sections 23-26 | #9 |

Power series | |||

4/17, Tu - 4/23, M | Weierstrass Approximation Theorems | Section 27 notes |
#10 |

4/24, Tu - 4/30, M | Riemann Integral | Sections 32-34 | #11 |

5/1, Tu - 5/3, Th | Review for Final Exam | everything above |
none |

5/15, Tu |
final exam, 11:15am-1:45pm, in Math P-131 |

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