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Introduction to set theory fundamentals covering sets, notation, operations (union, intersection, difference), subsets, Cartesian products, and complex expressions. Essential foundation for mathematical reasoning in computer science.

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At-a-glance checklist

• [ ] Memorize all set notation symbols and their meanings
• [ ] Practice writing sets using correct bracket notation
• [ ] Test element membership before performing operations
• [ ] Verify subset relationships with concrete examples
• [ ] Master union, intersection, and difference operations
• [ ] Work through Cartesian product examples
• [ ] Simplify complex expressions step-by-step
• [ ] Prove set equality using double inclusion method
• [ ] Practice with number sets to build intuition

Glossary of mathematical notation

Basic symbols:

• Set – Collection of distinct objects
• { } – Brackets that enclose set elements
• ∅ – Empty set (set with no elements)
• |A| – Cardinality (number of elements in set A)
• ∈ – Element belongs to a set (e.g., 3 ∈ {1, 2, 3})
• ∉ – Element does not belong to a set (e.g., 7 ∉ {2, 4, 6})