Mathematical Language

Read this section for an introduction to mathematical language, then work through practice problems 1-4.

Mathematical Language

The calculus concepts we will explore in this book are simple and powerful, but sometimes subtle. To succeed in calculus you will have to master some techniques, but, more importantly, you will have to understand ideas and be able to work with the ideas in words and pictures -- very clear words and pictures.
You also need to understand some of the common linguistic constructions used in mathematics. In this section we will discuss a few of the most common mathematical phrases, the meaning of these phrases and some of their equivalent forms.

Your calculus teacher is going to use these types of statements, and it is very important that you understand exactly what the teacher means. You have reached the level in mathematics where the precise use of language is important.


Source: Dale Hoffman, https://s3.amazonaws.com/saylordotorg-resources/wwwresources/site/wp-content/uploads/2012/12/MA005-1.5-Mathematical-Language.pdf
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