This is not the official version of this course website. If you are enrolled in the online section of this course, section 650, please view the lectures at owl.uwo.ca. The content here is incomplete.

The derivative

Topic | Est. video completion time. | Textbook practice problems | |
---|---|---|---|

5 | Differentiation review I | 10 mins | Section 3.1 : 1-33 (odd), 47, 55 |

6 | Differentiation review II | 10 mins | Section 3.2 : 3,5,11,15,17,33,43 |

1 | Derivatives and rates of change | 15 mins | sect 2.7 : 17, 31, 33, 35, 37, 39, 41 |

2 | The derivative as a function | 10 mins | sect 2.8 : 21-31 (odd) |

5. Differentiation review I

This is a review of elementary differentiation rules from high school calculus.

If you feel you need extra practice, try the fowing problems from the textbook, section 3.1 : 1-33 (odd), 47, 55

Differentiation review : part 1 video

Notes:

6. Differentiation review II

This is a review of the product and quotient rule from high school calculus.

If you feel you need extra practice, try the fowing problems from the textbook, section 3.2 : 3,5,11,15,17,33,43

Differentiation review : part 2 video

Notes:

1. Derivatives and rates of change

By the end of this lesson you should be able to :

- Compute equations of lines
- Define the concepts of differentiability and derivative
- View the derivative as a slope of a line and as rate of change
- Compute derivatives using only the definition
- Recognize limits as derivatives

Once you have viewed the video complete the following problems from the textbook, section 2.7 : 17, 31, 33, 35, 37, 39, 41

Notes:

2. The derivative as a function

By the end of this lesson you should be able to :

- View the derivative of a function as a function itself
- Compute using only the definition, the derivative of a function

Once you have viewed the video complete the following problems from the textbook, section 2.8 : 21-31 (odd)

The derivative as a function video

Notes: