#### Syllabus

Lectures |
Sections in Text |
Brief Description |

1/3 |
1.1 |
Introduction |

1/5 |
1.1 |
Axioms for the real numbers |

1/8 |
1.2 |
Absolute value, triangle inequality |

1/10 |
1.2 |
Inequalities, geometric sums |

1/12 |
** No class ** |
BM in San Diego |

1/15 |
** No class ** |
MLK Day |

1/16 |
1.3 |
Completeness axiom |

1/17 |
1.4 |
Countable and uncountable sets |

1/19 |
1.4 |
Countable and uncountable sets |

1/22 |
2.1 |
Convergent sequences |

1/24 |
2.1 |
Convergent sequences |

1/26 |
2.2 |
Monotone and Cauchy sequences |

1/29 |
6.1,6.2 |
Infinite series |

1/30 (x-hour) |
**Review** |
**Quiz 1** |

1/31 |
6.2,6.3 |
Infinite series |

2/1 |
**4:30 - 6:30 pm** |
**Midterm I** |

2/2 |
6.2 |
Ratio and root test |

2/5 |
2.3 |
Subsequences |

2/7 |
**Review** |
Sequences and series |

2/9 |
3.1 |
Limit of a function |

2/12 |
3.2 |
Continuous functions |

2/14 |
3.3 |
Intermediate and extreme value theorem |

2/16 |
3.4 |
Uniform continuity |

2/19 |
4.1 |
Derivative of a function |

2/21 |
4.2 |
Properties of differentiable functions |

2/23 |
**Review** |
Continuous and differentiable functions |

2/26 |
5.1 (Lecture) |
Integration for step functions |

2/28 |
5.2 (Lecture) |
Darboux integral |

3/2 |
5.3 (Lecture) |
Fundamental theorem of calculus |

3/5 |
5.3 (Lecture) |
Integration rules |

Bjoern Muetzel

Last updated March 03, 2018