Handouts1 - Set

Handouts1 - Set - MATH0201 BASIC CALCULUS MATH0201 BASIC...

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Unformatted text preview: MATH0201 BASIC CALCULUS MATH0201 BASIC CALCULUS Set Dr. WONG Chi Wing Department of Mathematics, HKU MATH0201 BASIC CALCULUS What is a set? Representation and Membership of a Set Some Examples Venn Diagram and Subset Relation Set Operations Union Intersection Complement MATH0201 BASIC CALCULUS What is a set? Definition 1 A set is a well–defined collection of objects, i.e., we can determine wether a given object belongs to that set or not without any ambiguity. Example 2 Which of the following is/are a set/sets? 1. The collection of students who enroll in MATH0201. 2. The collection of excellent students who enroll in MATH0201. 3. BOTH of them. 4. NONE of them. MATH0201 BASIC CALCULUS What is a set? Representation and Membership of a Set We may represent a set by 1. WORD DESCRIPTION S is the set of the first five prime numbers. 2. LISTING S := { 2 , 3 , 5 , 7 , 11 } 3. SET–BUILDER NOTATION { x : x is one of the first five primes } . It is read as the set of all elements x such that x is one of the first five primes. MATH0201 BASIC CALCULUS What is a set? Representation and Membership of a Set Example 4 The following three sets are indeed the same: 1. The set of solutions of x 2- 1 = 0....
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This note was uploaded on 04/16/2011 for the course MATH 0201 taught by Professor Chow during the Spring '11 term at HKU.

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Handouts1 - Set - MATH0201 BASIC CALCULUS MATH0201 BASIC...

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