Unformatted text preview: Chapter 1 Introduction Language of Sets, Functions and Relations What is Discrete Mathematics? Subsets A set A is a subset of a set B iff every element of A is also an element of B.Such a relation between sets is denoted by A ⊆ B.If A ⊆ B and A ≠ B we call A a proper subset of B and write A ⊂ B. The graph of f is the set of ordered pairs (a, b) such that b = f(a). In math, a relation is just a set of ordered pairs. It is the mathematics of computing. Discrete numeric function ; Generating function ; Recurrence relations. DISCRETE MATHEMATICS PPT INSTRUCTOR: Ruay-Shiung Chang Textbook: Discrete and Combinatorial Mathematics: An Applied Introduction, by Ralph Grimaldi, 4th edition SLIDES: 1. Discrete Mathematics - Functions - A Function assigns to each element of a set, exactly one element of a related set. In this course you will learn the important fundamentals of Discrete Math – Set Theory, Relations, Functions and Mathematical Induction with the help of 6.5 Hours of content comprising of Video Lectures, Quizzes and Exercises.Discrete Math is the real world mathematics. The symbol ∈ is used to express that an element is (or belongs to) a set, for instance 3 … In this course you will learn the important fundamentals of Discrete Math – Set Theory, Relations, Functions and Mathematical Induction with the help of 6.5 Hours of content comprising of Video Lectures, Quizzes and Exercises. It is also a fascinating subject in itself. (Caution: sometimes ⊂ is used the way we are using ⊆.) Boolean function(2) Discrete numeric function. What is a 'relation'? Fundamentals of Logic (PowerPoint File) 3. Set Theory (PowerPoint File) 4. Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Fundamental Principle of Counting (PowerPoint File) 2. Set Theory 2.1.1. Since the graph of f is a subset of AB, it is a relation from A to B. The set Z of integers is discrete. - is a pair of numbers used to locate a point on a coordinate plane; the first number tells how far to move horizontally and the second number tells how far to move vertically. Discrete Math is the real world mathematics. A set is a collection of objects, called elements of the set. Preface This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. Sets, Functions, Relations 2.1. RELATIONS PearlRoseCajenta REPORTER 2. E.g. The text covers the mathematical Relations in Discrete Math 1. any finite set will be discrete. A set can be represented by listing its elements between braces: A = {1,2,3,4,5}. Welcome to this course on Discrete Mathematics. Ling 310, adapted from UMass Ling 409, Partee lecture notes March 1, 2006 p. 4 Set Theory Basics.doc 1.4. 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