## MAT 371: Advanced Calculus I

## Spring 2019

Class Time |
Tu,Th 1:30pm – 2:45pm |

Class Location |
Tempe – WXLRA 108 |

Instructor |
Sébastien Motsch |

Office |
WXLRA 836 |

Email |
smotsch@asu[dot]edu |

Office Hours |
Wed 9:30am – 10:30am, Th 3:00pm – 4:00pm, |

Class webpage |
www.seb-motsch.com/teaching |

## Textbook

- Stephen Abbott,
*Understanding Analysis* (2nd edition)

### Course description

- set theory, topology
*(Chap. 1-3)*
- functions
*(Chap. 4-5)*
- series and integrale
*(Chap. 6-7)*

The first mid-term will be held **Thursday Feb. 14**. The second mid-term will be announced later. The **final** will be on *Thursday May 2nd* (12:10-2:00).

### Class Schedule

Jan 8 – 10 |
Presentation course – real numbers (chap. 1.1-1.2) |

Jan 15 – 17 |
Completeness, cardinality (chap. 1.3-1.5) |

Jan 22 – 24 |
Cantor’s theorem, sequences (chap. 1.6, 2.1-2.2) |

Jan 29 – 31 |
Sequences, Monotone convergence (chap. 2.2-2.5) |

Feb 05 – 07 |
Cauchy criteria, Series (chap. 2.6-2.8) |

Feb 12 – 14 |
Revision (solution practice mid-term 1), Mid-term 1 (solution) |

Feb 19 – 21 |
Open, closed sets (chap. 3.1-3.3) |

Feb 26 – 28 |
Connected sets, Baire theorem (chap. 3.4-3.5) |

### Class homework

Jan 15 |
**chap 1.2**: 3, 4, 5, 7, 8, 9, solution |

Jan 22 |
**chap 1.3**: 8,9, 11, **chap 1.4**: 3,4, **chap 1.5**: 4,5, (extra 9), solution |

Jan 29 |
**chap 1.6**: 3, 4, (extra 9), **chap 2.2**: 1, 2, 4, 5, solution |

Feb 5 |
**chap 2.2**: 7, **chap 2.3**: 2, 3, 5, 9, 11, **chap 2.4**: 1, solution |

Feb 12 |
**chap 2.5**: 1, 5, **chap 2.6**: 2, 4, **chap 2.7**: 2, solution |

Feb 26 |
**chap 3.2**: 2, 3, 6, 8, 11, 14, **chap 3.3**: 2 |

Mar 12 |
**chap 3.3.**: 4, 8, **chap 3.4**: 1, 7, **chap 3.5**: 5, 9, **chap 4.2**: 2 |