1 Sets
Almost everything later in this course is described using sets, so it is worth being careful here even though the ideas are simple. By the end of this chapter you should be able to say exactly what a set is, write one in two different notations, combine sets with the four operations, draw and read a Venn diagram, and use the laws of set algebra to simplify an expression.
1.1 What a set is
1.1.1 Set-builder notation
1.1.2 Kinds of set
1.1.3 Subsets and equality
1.1.4 Cardinality and the power set
1.2 Operations on sets
1.2.1 Venn diagrams
1.2.2 Counting with a Venn diagram
1.3 Laws of the algebra of sets
1.4 Practice problems
1.1.1 Set-builder notation
1.1.2 Kinds of set
1.1.3 Subsets and equality
1.1.4 Cardinality and the power set
1.2 Operations on sets
1.2.1 Venn diagrams
1.2.2 Counting with a Venn diagram
1.3 Laws of the algebra of sets
1.4 Practice problems
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