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Week 2 : Inverse functions and limits

By the end of these lessons you should be able to :

- define and recognize one-to-one functions
- define and compute inverse functions

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

1 | One-to-one & inverse functions | 20 mins | Section 1.5 : 5, 7, 9, 11, 13, 15, 17, 21, |

2 | Logarithms | 10 mins | Section 1.5 : 23, 25, 33, 35, 37, 39, 41, 51, 53, 55 |

3 | Inverse Trigonometric functions | 20 mins | Section 1.5 : 63, 66, 68, 69, 71, 72, 75 |

1. One-to-one and Inverse functions

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

- define the notion of one-to-one function
- use the horizontal line test to determine if a function is one-to-one
- define the notion of inverse function
- compute values of inverse functions
- determine the domain and range(s) of inverse functions
- compute formulas for inverse functions

Once you have viewed the video complete the following problems from the textbook, Section 1.5 : 5, 7, 9, 11, 13, 15, 17, 21

Notes:

2. Logarithms

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

- define the logarithm
- compute values of logarithms
- recall the logarithm rules and apply them to simplify expressions
- solve exponential and logarithmic equations and inequalities

Once you have viewed the video complete the following problems from the textbook, Section 1.5 : 23, 25, 33, 35, 37, 39, 41, 51, 53, 55

Notes:

3. Inverse trigonometric functions

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

- define the inverse trigonometric functions and recall their domains and ranges
- compute values of inverse trigonometric functions
- simplify expression involving trigonometric and inverse trigonometric functions

Once you have viewed the video complete the following problems from the textbook, Section 1.5 : 63, 66, 68, 69, 71, 72, 75

Inverse Trigonometric functions video

Notes: