This calendar is extremely tentative, but should give a general idea of what topics we will cover.

Course Textbooks:

**Ross:**Kenneth A. Ross,*Elementary Analysis: The Theory of Calculus*, 2nd edition, Springer, 2013.

Date | Tentative class plan: |

Thu, Aug 26 | Welcome! Begin Chapter 1. Covered §1-3: The natural numbers, induction, and ordered fields (the Rationals and Reals). |

Tue, Aug 31 | Finished § 3. Began § 4: The completeness axiom. |

Thu, Sep 2 | Finished § 4: The completeness axiom Discussed § 5: Infinity. A video will be posted on blackboard on § 6: Constructing the real numbers. |

Tue, Sep 7 | No classes scheduled |

Thu, Sep 9 | Quiz 1. Begin Chapter 2 with § 7-8: Limits of sequences and formal proofs. |

Tue, Sep 14 | More of § 7-8: Limits of sequences and formal proofs. Begin § 9: Limit Theorems for sequences. |

Thu, Sep 16 | No classes scheduled |

Tue, Sep 21 | More on § 9: Limit Theorems for sequences. |

Thu, Sep 23 | Quiz 2. Finish § 9: Limit Theorems for sequences. Begin § 10: Monotone and Cauchy sequences. |

Tue, Sep 28 | Finish § 10: Monotone and Cauchy sequences. |

Thu, Sep 30 | Quiz 3. § 11: Subsequences. |

Tue, Oct 5 | First midterm held in MR 3. |

Thu, Oct 7 | Finish § 11: Subsequences. § 12: lim sup and lim inf. |

Tue, Oct 12 | § 14: Series. |

Thu, Oct 14 | Quiz 4. § 15: Alternating series and integral tests. Begin Chapter 3. § 17: Continuous Functions. |

Tue, Oct 19 | Finish § 17: Continuous Functions. |

Thu, Oct 21 | Quiz 5. § 18: Properties of Continuous Functions. § 20: Limits of Functions. |

Tue, Oct 26 | Finishing up § 18 and § 20. Review if there is time. |

Thu, Oct 28 | Quiz 6. § 19: Uniform Continuity. |

Tue, Nov 2 | § 19: Uniform Continuity (finishing chapter 3). |

Thu, Nov 4 | Quiz 7. § 23: Power Series. |

Tue, Nov 9 | Second midterm held in MR 3. |

Thu, Nov 11 | § 24: Uniform Convergence. |

Tue, Nov 16 | Begin Chapter 5. § 28: Differentiation. § 29: The Mean Value Theorem. |

Thu, Nov 18 | Quiz 8. § 29: The Mean Value Theorem. |

Tue, Nov 23 | Finish Chapter 5. §31: Taylor's Theorem. |

Thu, Nov 25 | No classes scheduled (Happy Thanksgiving!) |

Tue, Nov 30 | § 32: The Riemann Integral. |

Thu, Dec 2 | Quiz 9. § 33: Properties of the Riemann Integral. |

Tue, Dec 7 | § 34: The Fundamental Theorem of Calculus. |

Thu, Dec 9 | § 34: The Fundamental Theorem of Calculus. |

Relevant links: