The text covers the mathematical The set Z of integers is discrete. Discrete numeric function ; Generating function ; Recurrence relations. E.g. Welcome to this course on Discrete Mathematics. DISCRETE MATHEMATICS PPT INSTRUCTOR: Ruay-Shiung Chang Textbook: Discrete and Combinatorial Mathematics: An Applied Introduction, by Ralph Grimaldi, 4th edition SLIDES: 1. 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. Set Theory (PowerPoint File) 4. A set can be represented by listing its elements between braces: A = {1,2,3,4,5}. CS201 - Discrete Structures 3 Functions as Relations You might remember that a function f from a set A to a set B assigns a unique element of B to each element of A. Unformatted text preview: Chapter 1 Introduction Language of Sets, Functions and Relations What is Discrete Mathematics? Since the graph of f is a subset of AB, it is a relation from A to B. Sets, Functions, Relations 2.1. 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. Ling 310, adapted from UMass Ling 409, Partee lecture notes March 1, 2006 p. 4 Set Theory Basics.doc 1.4. A discrete set of numbers is a set in which there is separation between the values. Preface This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. The symbol ∈ is used to express that an element is (or belongs to) a set, for instance 3 … A set is a collection of objects, called elements of the set. Sets. 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. In math, a relation is just a set of ordered pairs. Functions find their application in various fields like representation of the (Caution: sometimes ⊂ is used the way we are using ⊆.) RELATIONS PearlRoseCajenta REPORTER 2. It is also a fascinating subject in itself. - 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. Introduction to recurrence relations; Second order recurrence relation with constant coefficients(1) Second order recurrence relation with constant coefficients(2) Application of recurrence relation Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Relations in Discrete Math 1. Discrete Math is the real world mathematics. Boolean function(2) Discrete numeric function. What is a 'relation'? It is the mathematics of computing. Discrete mathematics forms the mathematical foundation of computer and information science. Fundamentals of Logic (PowerPoint File) 3. Set Theory 2.1.1. any finite set will be discrete. The graph of f is the set of ordered pairs (a, b) such that b = f(a). Fundamental Principle of Counting (PowerPoint File) 2. Discrete Mathematics - Functions - A Function assigns to each element of a set, exactly one element of a related set. 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