More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets sets that have the same cardinality as subsets of the natural numbers. The subject of mathematics is commited to rigorous reasoning. Discrete mathematics, the study of finite mathematical systems, provides students with mathematical ideas, notations and skills which are critical to, for example, formulating what an algorithm is supposed to achieve, proving if it meets the specification, and analyzing its time and space complexity. Discrete mathematics is a rapidly growing and increasingly used area of mathematics, with many practical and relevant applications. Ma6566 dm syllabus, discrete mathematics syllabus cse. Ultimately, students are expected to understand and use abstract discrete structures that are the backbones of computer science. See the course policies page for an uptodate description of course policies, and see the extension schedule page for an approximate schedule of dates and topics. Syllabus undergraduate seminar in discrete mathematics. This is a course on discrete mathematics as used in computer. Lewis, phd, gordon mckay professor of computer science, harvard university deborah abel. This book aims to raise your confidence in the manipulation and interpretation of formal notations, as well as to train you to solve problems that are fundamentally discrete. The majority of the instructors were professors from mit and the program was tuition free.
Prior to his 20year service at depaul university, he was a member and sometime chair of the mathematics departments at morehouse college and chicago state university. Were going to be cleaning up bad jokes about takin it to the limit and. Discrete mathematics course syllabus course number. This course provides students with an introduction to discrete mathematics with the focus on mathematical reasoning, basic understanding of sets, functions, relations, algorithms, counting methods, graph theory and methods of proof. Discrete mathematics syllabus ma8351 pdf free download. Topics in discrete mathematics weeks 110 ucsb 2014 basic course information professor. Choose from used and new textbooks or get instant access with etextbooks and.
Because it is grounded in realworld problems, discrete mathematics lends itself easily to implementing the recommendations fo the national council of teachers of mathematics nctm standards. Cantor developed the concept of the set during his study of the. There are many other discrete math textbooks out there that you may wish to refer to from time to time. Translate natural language statements to and from formal propositional logic. Discrete mathematics lecture notes, yale university, spring 1999 l.
Takehome examinations will be due no earlier than the day of the formally assigned nal examination for the class in question. The goal of this course is to introduce students to ideas and techniques from discrete mathematics that are widely used in computer science. The purpose of this course is to understand and use abstract discrete structures that are backbones of computer science. Vesztergombi parts of these lecture notes are based on l. Discrete mathematics therefore excludes topics in continuous mathematics such as calculus and analysis. Anna university regulation 20 cse ma6566 dm syllabus for all 5 units are provided below. There may be some minor timeline changes needed for students participating in feeds at the remote site. Cantor developed the concept of the set during his study of the trigonometric series, which is now known as the limit point or the derived set operator.
Induction, counting subsets, pascals triangle, fibonacci numbers, combinatorial probability, integers, divisors, and primes, graphs, trees, finding the optimum, matchings in graphs, graph coloring. Tools such hints and proof templates prepare you to succeed in this course. They couldnt have gott in the name of all that is holy. Discrete math for computer science students ken bogart dept. Ma8351 syllabus discrete mathematics regulation 2017. He was solely responsible in ensuring that sets had a home in mathematics. In particular, the following chapters will be discussed.
Basic building block for types of objects in discrete mathematics. Lecture notes on discrete mathematics july 30, 2019. Discrete objects can often be enumerated by integers. Discrete mathematics department of mathematics bowling green state university. The number of vertices in the graph is equal to the number of elements in the set from which the relation has been defined. Pdf discrete mathematics for computer science, some notes. In particular, this class is meant to introduce logic, proofs, sets, relations, functions, counting, and probability, with an emphasis on applications in computer science. Covers topics in greater depth than do competitors. Mad 4301 graph theory spring 2016 course syllabus course titlenumber, number of credit hours. A computational way to study discrete mathematics using haskell ryukinixdiscrete mathematics. Exercise sets features a large number of applications, especially applications to computer science. Many different systems of axioms have been proposed. To achieve this goal, students will learn logic and proof, sets, functions, as well as algorithms and mathematical reasoning.
Topics include logic, set theory, number theory, induction, recursion, counting techniques, and graph theory. Besides reading the book, students are strongly encouraged to do all the. Richard johnsonbaugh is professor emeritus of computer science, telecommunications and information systems, depaul university, chicago. Discrete mathematics course syllabus first semester 1437 1438h 1. The student will demonstrate the ability to use mathematical logic to solve problems. Awedh spring 2008 course overview this is an introductory course in discrete mathematics.
The numbers in parentheses give approximate pages and file sizes in the form pages ps, pdf. The goal of this course is to introduce students to ideas and techniques from discrete mathematics that are widely used in science and engineering. European schools mathematics syllabus year s1 to s3. Syllabus for discrete mathematics for computer science. Though it is presented from a mathematicians perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Discrete mathematicsintroduction wikibooks, open books. We say that a is afactorordivisorof b and b is amultipleof a. For each ordered pair x, y in the relation r, there will be a directed edge from the vertex x to vertex y. This course covers elementary discrete mathematics for computer science and engineering. Mathematical encoding of shift ciphers i first, lets number letters az with 0 25 i represent message with sequence of numbers i example. This course covers the mathematical topics most directly related to computer science. This barcode number lets you verify that youre getting exactly the right version or. The almost 650 worked examples provide ready reference for students as they work. Review and extend from the discrete model seen in s1 to a continuous model now.
Finite mathematics and calculus with applications is a solid,applicationoriented text for students majoring in business, management,economics, or the life or social sciences. Mathematics essential curriculum discrete mathematics gt hcpss. It is okay to have a homework assignment due during dead week, but it is better if this is spelled out on the syllabus at the beginning of the term. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, business, and the sciences. Math2405 spring 2012 01172012 052012 course information. Discrete mathematics pdf 9p this note covers the following topics. Sep 05, 2017 the goal of this course is to introduce students to ideas and techniques from discrete mathematics that are widely used in computer science. Fundamental approach to discrete mathematics acharjaya d.
Do you have any idea whats going to happen with those things one the loose. Focuses on concepts and their application as opposed to a heavy theoretical approach. Issues about data structures used to represent sets and the computational cost of set operations. Ma6566 dm syllabus, discrete mathematics syllabus cse 5th. An introduction to the discrete paradigm in mathematics and computer science. Adu was a oneyear, intensive postbaccalaureate program in computer science based on the undergraduate course of study at the massachusetts institute of technology mit. This course is a studentpresented seminar in combinatorics, graph theory, and discrete. This course teaches the students techniques in how. Unit i logic and proofs ma8351 syllabus discrete mathematics propositional logic propositional equivalences predicates and quantifiers nested quantifiers rules of inference introduction to proofs proof methods and strategy.
Since the advent of electronic computers, discrete mathematics has become one of the most important theoretical courses for a masters level program in computer science and applications. In contrast to real numbers that have the property of varying smoothly, the objects studied in discrete mathematics such as integers, graphs, and statements in logic do not vary smoothly in this way, but have distinct, separated values. For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and can be presented as a complete list of those pairs. Thus mathematics departments wishing to develop or retain discrete mathematics as a service for computer science are urged to consult closely with faculty in computer science in designing or updating their offerings. For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and. For these students the current text hopefully is still of interest, but the intent is not to provide a solid mathematical foundation for computer science, unlike the majority of textbooks on the subject. Department of mathematics and physics math 280 discrete mathematics3 units fall semester 2011 class meets monday, wednesday, and friday mornings 8. The goal of this course is to help students to understand, explain, and apply the foundational mathematical concepts at the core of computer science. In contrast to real numbers that have the property of varying smoothly, the objects studied in discrete mathematics such as integers, graphs, and statements in. Discrete mathematics course outline linkedin slideshare.
A short course in discrete mathematics by edward a. Download link for cse 5th sem ma6566 discrete mathematics syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials. This course is designed to meet the needs of science, engineering, and mathematics students. A relation can be represented using a directed graph. With nearly 4,500 exercises, discrete mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Course syllabus jump to today see the course policies page for an uptodate description of course policies, and see the extension schedule page for an approximate schedule of dates and topics. Find discrete mathematics textbooks at up to 90% off. This book would not exist if not for discrete and combinatorial math ematics by richard grassl and tabitha mingus. It emphasizes mathematical definitions and proofs as well as.
An introduction to concepts, methods, and applications. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. These are notes on discrete mathematics for computer scientists. Introduction to discrete mathematics syllabus concourse. He developed two types of trans nite numbers, namely, trans nite ordinals and trans nite. Video conference, in person, and feeds media center students will all take examinations at the posted times.