# Calendar for Calculus III, Spring 2011

Author: | Selin Kalaycioglu and NYU/CIMS Calc III Faculty <kalaycioglu@cims.nyu.edu> |
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Date: | January 24, 2011 |

This is a week-by-week calendar of topics covered in Calculus III. As a rule of thumb, the topics are generally to be spread out equally during the week, so if there are two topics, each one takes one class period, while if there are three, each should take two-thirds of a class period.

Please note that these schedules are tentative and subject to change by your indiuvidual instructor. Regardless it still provides a complete list of topics for the semester and a rough idea of when the topics will be covered.

# Course topics by week

## Monday and Wednesday Class Meetings

Week | Dates | Section | Topics |
---|---|---|---|

1 | 1/24-28 |
10.1 | Three-dimensional Coordinate Systems |

10.2 | Vectors | ||

2 | 1/31-2/4 |
10.3 | The Dot Product |

10.4 | The Cross Product | ||

3 | 2/7-11 |
10.5 | Equations of Lines and Planes |

10.6 | Cylinders and Quadric Surfaces | ||

4 | 2/14-18 |
10.7 | Vector functions and space curves |

10.8 | Arc length and Curvature | ||

10.9 | Motion in Space: Velocity and Acceleration | ||

5 | 2/21-25 |
11.1 | Functions of Several Variables |

11.2 | Limits and Continuity | ||

6 | 2/28-3/4 |
11.3 | Partial Derivatives |

11.4 | Tangent Planes and Linear Approximation | ||

11.5 | The Chain Rule | ||

7 | 3/7-11 |
11.6 | Directional Derivatives and the Gradient Vector |

Review |
|||

Midterm (3/9) |
|||

8 | 3/14-18 |
No Classes | SPRING BREAK |

9 | 3/21-25 |
11.7 | Maximum and Minimum Values |

11.8 | Lagrange Multipliers | ||

10 | 3/28-4/1 |
12.1 |
Double Integrals over Rectangles |

12.2 |
Double Integrals over General Regions | ||

12.3 |
Double Integrals in Polar Coordinates | ||

11 | 4/4-8 |
12.5 | Triple Integrals |

12.6 | Triple Integrals in Cylindrical Coordinates | ||

12.7 | Triple Integrals in Spherical Coordinates | ||

12 | 4/11-15 |
13.1 | Vector Fields |

13.2 | Line Integrals | ||

13.3 | The Fundamental Theorem of Line Integrals | ||

13 | 4/18-22 |
13.4 | Green's Theorem |

13.5 | Curl and Divergence | ||

14 | 4/25-29 |
13.6 | Parametric Surfaces and their Areas |

13.7 | Surface Integrals | ||

15 | 5/2-6 |
13.8 | Stokes's Theorem |

13.9 | The Divergence Theorem |
||

16 | 5/9 |
Final Review |

## Tuesday and Thursday Class Meetings

Week | Dates | Section | Topics |
---|---|---|---|

1 | 1/24-28 |
10.1 | Three-dimensional Coordinate Systems |

10.2 | Vectors | ||

2 | 1/31-2/4 |
10.3 | The Dot Product |

10.4 | The Cross Product | ||

3 | 2/7-11 |
10.5 | Equations of Lines and Planes |

10.6 | Cylinders and Quadric Surfaces | ||

4 | 2/14-18 |
10.7 | Vector functions and space curves |

10.8 | Arc length and Curvature | ||

10.9 | Motion in Space: Velocity and Acceleration | ||

5 | 2/21-25 |
11.1 | Functions of Several Variables |

11.2 | Limits and Continuity | ||

11.3 | Partial Derivatives | ||

6 | 2/28-3/4 |
11.4 | Tangent Planes and Linear Approximation |

11.5 | The Chain Rule | ||

7 | 3/7-11 |
11.6 | Directional Derivatives and the Gradient Vector |

Review |
|||

Midterm (3/10) |
|||

8 | 3/14-18 |
No Classes | SPRING BREAK |

9 | 3/21-25 |
11.7 | Maximum and Minimum Values |

11.8 | Lagrange Multipliers | ||

10 | 3/28-4/1 |
12.1 |
Double Integrals over Rectangles |

12.2 |
Double Integrals over General Regions | ||

12.3 |
Double Integrals in Polar Coordinates | ||

11 | 4/4-8 |
12.5 | Triple Integrals |

12.6 | Triple Integrals in Cylindrical Coordinates | ||

12.7 | Triple Integrals in Spherical Coordinates | ||

12 | 4/11-15 |
13.1 | Vector Fields |

13.2 | Line Integrals | ||

13.3 | The Fundamental Theorem of Line Integrals | ||

13 | 4/18-22 |
13.4 | Green's Theorem |

13.5 | Curl and Divergence | ||

14 | 4/25-29 |
13.6 | Parametric Surfaces and their Areas |

13.7 | Surface Integrals | ||

15 | 5/2-6 |
13.8 | Stokes's Theorem |

13.9 | The Divergence Theorem |
||

Final Review |

For final exam days and times by class meeting time, please see the registrar's exam page.