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

Practice quizzes 1, 2, 4, practice final and solutions 1, 2, 3, 4, final from MIT 18.100B Fall 2010

Official errata to Ross's book, more on Baire Spaces, and more on Theorem 21.11

Midterm I Information, Exam, Solutions

General Course Information, Office Hours, MLC Hours, Some Advice

Mini-Quiz, 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 solutions |

The Completeness Axiom | |||

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

Limit theorems for sequences | |||

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

Subsequences | |||

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

lim inf and lim sup | |||

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

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 solutions |

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 solutions |

Power series | |||

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

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 |

This page is maintained by Aleksey Zinger.