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Continuity

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

- Define continuity
- Define left and right continuity
- Identify the main examples of continuous functions
- State and apply the intermediate value theorem

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

1 | Continuity | 10 mins | Section 2.5 : 1,3,9, 13,19,2135,37,39,43,47,71 |

2 | Intermediate Value Theorem | 10 mins | Section 2.5 : 51,53,55,57,69 |

1. Continuity

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

- state the definition of continuity of a function
- graphically check whether a function is continuous
- use the limit laws to check continuity
- recall the notion of left and right continuity
- check if a function defined by a formula or with a given graph is left or right continuous at a given point

Once you have viewed the video complete the following problems from the textbook, section 2.5 : 1,3,9, 13,19,2135,37,39,43,47,71

Notes:

2. The intermediate value theorem

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

- state the definition of continuity on a closed interval
- state the intermediate value theorem (IVT)
- interpret the intermediate value theorem graphically
- use the intermediate value theorem to show that an equation has a root

Once you have viewed the video complete the following problems from the textbook, section 2.5 : 51,53,55,57,69

Notes: