The last four weeks cover applications of integration and differentiation.

The tutorial topics given will be covered on the Friday of the given week (section 1), and the Monday of the subsequent week (sections 2 and 3). As there is no tutorial on Thanksgiving Day, the tutorial on the Friday before Thanksgiving (8 October) is cancelled. Thus the tutorial in all cases comes at the end of the week.

Note that after Thanksgiving, for sections 2 and 3 the "week" will begin on Tuesday and end the subsequent Monday.

Week |
Topic |
Remarks |
Tutorial topic |

Week 0 Sept 9 - 10 |
Introduction |
Take the diagnostic test
this weekend. |
Introduction to WebAssign (optional) |

Week 1 Sept 13 - 17 |
The concept of the integral 5.1, 5.2, 5.3 |
Diagnostic test due Tuesday, 14
September. |
Integral as a function |

Week 2 Sept 20 - 24 |
Integration as reverse of
differentiation; review of derivatives. 5.4, 3.1, 3.2, 3.3. |
Homework for Week 1 due Tuesday,
21 September. |
Integral as antiderivative |

Week 3 Sept 27 - Oct 1 |
Chain rule; integration by substitution. 3.4, 5.5 |
Homework for Week 2 due Tuesday, 28 September. | Prepare for Midterm 1. Assigned problems: p390 #72, p408 #82. Due 5pm Friday, 1 Oct for Tutorial 1, 8pm Monday, 4 Oct for Tutorials 2 and 3. |

Week 4 Oct 4 - 8 |
Integration by parts. 7.1 |
Homework for Week 3 due Tuesday,
5 October. Midterm 1 Thursday, 7 October. See Announcements for times and rooms. Midterm 1 covers up to integration by substitution. |
No tutorial 8, 11 October. |

Week 5 Oct 11 - 15 |
Trigonometric integration. 7.2, 7.3 |
Homework for Week 4 due Tuesday,
12 October. Monday is a holiday for Thanksgiving. |
Techniques of integration:
parts, trig integrals |

Week 6 Oct 18 - 22 |
Integration using partial fractions 7.4 |
Homework for Week 5 due Tuesday, 19 October. | Partial fractions |

Week 7 Oct 25 - 29 |
Integration strategies. 7.5, 7.7 |
Homework for Week 6 due Wednesday, 27 October. | Overview of integration |

Week 8 Nov 1 - 5 |
Applications of differentiation: the shape of a curve. 4.1, 4.2, 4.3, |
Homework for Week 7 due Wednesday, 3 November. | Prepare for Midterm 2. Assigned problems: p.519 #22, 32 Due 8pm Friday, 5 Nov for Tutorial 1, 8pm Monday, 8 Nov for Tutorials 2 and 3. |

Week 9 Nov 8 - 12 |
Applications of differentiation:
L'Hopital's rule 4.4, 4.5 |
Homework for Week 8 due
Wednesday, 10 November. Midterm 2 Thursday, 11 November. See Announcements for times and rooms. |
Curve sketching. |

Week 10 Nov 15 - 19 |
Applications of differentiation:
newton's method, optimization. 4.7, 4.8 |
Homework for Week 9 due Wednesday, 16 November. | Optimization techniques |

Week 11 Nov 22 - 26 |
Applications of integration:
area/arc length. 6.1, 8.1 |
Homework for Week 10 due Wednesday, 23 November. | Area problems |

Week 12 Nov 29 - Dec 3 |
Applications of integration: volumes. 6.2, 6.3, 8.2 |
Homework for Week 11 due Wednesday, 30 November. | Prepare for Final. Assigned
problems: p348 #18, 52. Due 8pm Friday, 3 Dec for Tutorial 1, 8pm Monday, 6 Dec for Tutorials 2 and 3. |

Homework for Week 12 due Wednesday, 8 December (optional, but
homework grade is based on your ten
best marks, including this one).

Final Exam Thursday December 16, 19:30-22:30.