## MAT 320: Introduction to Analysis
## Stony Brook Spring 2019 |
---|

MAT 319 and 320 OHs are now separate. The last joint recitation is on Monday, 3/11, in Physics P113.

General Course Information, MLC Hours, Official errata to Ross's book

Sequences and Series, Power Series, Note on Corollary 4.5, Note on Baire Spaces, Note on Theorem 21.11

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

HW11 is due before the start of the recitation on Wednesday, 5/8

Dates |
Topic | Read |
Problem Set |

1/28, M - 2/4, M | Mathematical induction | Chapter 1 | #1
solutions |

The Completeness Axiom | |||

2/5, Tu - 2/11, M | Limits of sequences | Sections 7-9 | #2
solutions |

Limit theorems for sequences | |||

2/12, Tu - 2/18, M | Cauchy sequences | Sections 9-11 | #3
solutions |

Subsequences | |||

2/19, Tu - 2/25, M | More on subsequences | Sections 11,12 | #4 solutions |

lim inf and lim sup | |||

2/26, Tu - 3/4, M | Series | Sections 14,15 | #5 solutions |

Convergence tests for series | |||

3/5, Tu - 3/6, W | Review for Midterm I | Sections 1-5,7-12,14,15 | none |

3/7, Th |
Midterm I: joint for MAT 319 and 320; snow date: 3/12, Tu;
info,
exam,
solutions
| ||

3/11, M | Overview of Midterm I; last joint class | ||

3/12, Tu - 3/14, Th | Metric spaces | Section 13 | #6 solutions |

Convergence, compactness | |||

3/18, M - 3/21, Th | no classes, no office hours | ||

3/25, M - 4/1, M | More on compactness | pp171-179 notes notes |
#7 solutions |

More on completeness, connectedness | |||

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

4/9, Tu - 4/10, W | Review for Midterm II | Sections 13,21,22,17-20 notes above |
none |

4/11, Th |
Midterm II: info,
exam,
solutions | ||

4/15, M | Overview of HW8 and Midterm II | ||

4/16, Tu - 4/22, M | Uniform convergence | Sections 23-26 | #9 solutions |

Power series | |||

4/23, Tu - 4/29, M | Weierstrass Approximation Theorems | Section 27 notes |
#10 solutions |

4/30, Tu - 5/6, M | Riemann Integral | Sections 32-34 notes |
#11 solutions |

5/7, Tu - 5/9, Th | Review for Final Exam | everything above |
none |

5/21, Tu |
final exam, 11:15am-1:45pm:
info |

This page is maintained by Aleksey Zinger.