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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3.8 (9 Ratings)

I present a simple example of how to solve a basic inequality arising in calculus and the theory of functions. Such ideas are seen in first-year university or high school mathematics.
Inequalities are used in virtually all areas of mathematics and its applications. A good understanding of inequality techniques empower us to solve more difficult problems where inequalities arise (eg in optimization; in linear programming; in error bounds for numerical approximation etc).

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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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