The University of New South Wales Course , Prof. Chris Tisdell

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The University of New South Wales Course , Prof. Chris Tisdell

Contents:

How to solve inequalities - Sketching graphs of reciprocal functions - Domain and range of a function - Limits of functions & their evaluation - One-sided limits of functions & their evaluation - Continuity of a function - an example - Differentiability of a function - an example

How to solve inequalities - Sketching graphs of reciprocal functions - Domain and range of a function - Limits of functions & their evaluation - One-sided limits of functions & their evaluation - Continuity of a function - an example - Differentiability of a function - an example

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An example involving one-sided limits is presented. The appearance of absolute value signs in the function adds some challenge to the problem. Such ideas are seen in first-year university mathematics subjects.
The limit of a function as $x to a$ (if this limit exists) describes the functions behaviour "near" the point $a$. This can be important information in modelling, as this limit enables us to make predictions about the states of the phenomena when $x$ is close to $a$.

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- 1.How to solve inequalities. Chris Tisdell UNSW Sydney
- 2.Sketching graphs of reciprocal functions. Chris Tisdell UNSW Sydney
- 3.Domain and range of a function. Chris Tisdell UNSW Sydney
- 4.Limits of functions & their evaluation. Chris Tisdell UNSW Sydney
- 5.One-sided limits of functions & their evaluation. Chris Tisdell UNSW Sydney
- 6.Continuity of a function - an example. Chris Tisdell UNSW Sydney
- 7.Differentiability of a function - an example. Chris Tisdell UNSW Sydney

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