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Time: 20 hours
Level: Intermediate
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 Introduction Resource- When we try to use ordinary language to explore mathematics, the words involved may not have a precise meaning, or may have more than one meaning. Many words have meanings that evolve as people adapt their...
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- 1 Sets Resource
- In Section 1 we discuss the idea of a set and describe some ways to define sets. We illustrate our discussion with sets of numbers and with geometrical sets of points in the plane. We also explain how...
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- 2 Functions Resource
- In Section 2 we give the general definition of a function, and illustrate how functions can be used to describe a variety of mathematical concepts, such as transformations of the plane. We discuss the...
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- 3 The language of proof Resource
- In Section 3 we examine the language used to express mathematical statements and proofs, and discuss various techniques for proving that a mathematical statement is true. These techniques include direct...
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- 4 Two identities Resource
- Section 4 introduces some important mathematical theorems.
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| | 5 Solutions to the exercises
- 5 Solutions to the exercises Resource
- Section 5 contains solutions to the exercises that appear throughout sections 1-4.
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| | References and Acknowledgements | |
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