Discrete mathematics for computer science department of computer. Mathematical foundations of computer science course. Double counting august 14, 2012 nutan iitb cs 207 discrete mathematics 201220 may 2011 1 1. Discrete mathematics uses a range of techniques, some of which is seldom found in its continuous counterpart. My goal was to show the relevance and practicality of discrete mathematics to students, who are often skeptical. Introduction to discrete structures and probability. Because the states of a computer are discrete, this is the part of mathematics most associated with computer science. A course in discrete structures cornell university.
Recursive calls calculate the greatest common divisor gcd of the following pairs of numbers using the euclidean algorithm. Nature of course content catalog description cs 227228. Mathematics for computer science eric lehman and tom. This course will roughly cover the following topics and speci c applications in computer science. We all like to assert things, and few of us like to say things that turn out to be false. Cs208dlaf2a2019 discrete mathematics quiz chapter 3 due oct 27 at 11. Cs 70 discrete mathematics and probability theory fall 2009 satish rao,david tse note 9 counting in the next major topic of the course, we will be looking at probability. We then apply these techniques to prove properties of simple recursive programs. The basic objects of discrete mathematics are the set of integers and of logical values. The proposed course replaces erstwhile cs203 discrete structures that was not in. We hope everyone found the class worthwhile and enlightening. For the extension school course csci e20, click here. Quiz chapter 8 cs208dlas2a2020 discrete mathematics.
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. Hauskrecht integers and division number theory is a branch of mathematics that explores integers and their properties. Practice in reasoning formally and proving theorems. These days, given that many students who graduate with a degree in computer science end up with jobs where mathematical skills seem basically of no use,1 one may ask why these students should take such a course. You can use all your notes, calculator, and any books you think are useful. A proof provides a means for guaranteeing such claims. Discrete mathematics and its applications by kenneth rosen, mcgraw hill, 7th edition.
Cs 70 discrete mathematics for cs spring 2008 david wagner. Cs 70 discrete mathematics and probability theory spring 2016 rao and walrand discussion 4a 1. Problem set omega highlights tue, 12 dec 2017 here are some of our favorite problem set. Cs 70 discrete mathematics for cs spring 2005 clancywagner notes 3 this lecture covers further variants of induction, including strong induction and the closely related wellordering axiom. Cs208dlaf2a2019 discrete mathematics policy quiz due oct 27 at 11. Discrete math for computer science students ken bogart dept. In this chapter, well illustrate the power of this proof method with a few simple examples. We now present three simple examples to illustrate this.
Discrete here is used as the opposite of continuous. Cs 201 data structures and discrete mathematics i spring. Documents course textbook mathematics for computer science lehman, leighton, meyer. Cs208dlaf2a2019 discrete mathematics policy quiz due oct. Inductively defined sets we can use the two propositions to. Because the notion of a tree is so fundamental in computer science and else. Number theory athe math behind the rsa crypto system. Introduction to discrete structures and probability, spring 2020. 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. Introduction to discrete mathematics for computer science. You will study some of the fundamental theoretical topics in computer science.
Discrete structures lecture notes stanford university. Cs 70 discrete mathematics and probability theory spring 2016. Mathematics for computer science eric lehman and tom leighton. Math cs 240 covers the fundamentals of discrete mathematics. Why study discrete mathematics in computer science. Cs 1200 discrete mathematics for cs iit madras cse dept. Cs 70 discrete mathematics for cs spring 2008 david wagner note 3 proofs intuitively, the concept of proof should already be familiar. Hauskrecht modular arithmetic in cs modular arithmetic and congruencies are used in cs. The mathematics in these applications is collectively called discrete mathematics. The curriculum of most undergraduate programs in computer science includes a course titled discrete mathematics. For the student, my purpose was to present material in a precise, readable manner, with the concepts and techniques of discrete mathematics clearly presented and demonstrated. Cs 70 discrete mathematics for cs spring 2005 clancywagner. He developed two types of trans nite numbers, namely, trans nite ordinals and trans nite.
This is the preserved website for the fall 2016 course. Mathematical reasoning and mathematical objects lecture 7. We expressed the number of steps an algorithm makes as a function of the input size. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Topics include propositional logic, discrete mathematics, and linear algebra. Discrete mathematics the study of mathematical properties of sets and systems that have only a specifc number of elements. Discover the best homework help resource for cs at park university. Cps102 discrete mathematics practice final exam in contrast to the homework, no collaborations are allowed. The proposed course replaces erstwhile cs203 discrete structures. Novel metaheuristic model for discrimination between iron deficiency anemia and bthalassemia with cbc indices based on dynamic harmony search. A course in discrete structures cornell computer science. These are notes on discrete mathematics for computer scientists.
In the mathematics department we like to think of our students as a community of people working together to better understand quantitative and relational ways to interact with our world. Discrete math final exam solutions sat, 16 dec 2017 here are some comments on the final exam. Integers and division cs 441 discrete mathematics for cs m. Discrete structures lecture notes vladlen koltun1 winter 2008 1computer science department, 353 serra mall, gates 374, stanford university, stanford, ca 94305, usa. Cs 201 data structures and discrete mathematics i spring 2004 programming assignment 1. A distributive property of multiplication over addition multiplying a sum by a number is the same as. Discrete math fall 2016 fall 2017 course fri, 17 mar 2017. Students will explore number systems other than our commonly used decimal system, and investigate the applications of such in the realm of computer science. For these students the current text hopefully is still of interest, but the intent is not to provide a solid mathematical. Cs 70 discrete mathematics and probability theory fall 2009 satish rao, david tse note 18 a brief introduction to continuous probability up to now we have focused exclusively on discrete probability spaces w, where the number of sample points. Dieter van melkebeek updates by beck hasti and gautam prakriya in the last reading, we analyzed the running times of various algorithms. Discrete math is needed to see mathematical structures in the object you work with.
Learn introduction to discrete mathematics for computer science from university of california san diego, national research university higher school of economics. However, the rigorous treatment of sets happened only in the 19th century due to the german math ematician georg cantor. Discrete mathematics authorstitles recent submissions. Pdf discrete mathematics for computer science, some notes. Discrete mathematics, second edition in progress cis upenn. He was solely responsible in ensuring that sets had a home in mathematics. Indeed i begin with a discussion of the basic rules of mathematical reasoning and of. At the same time, it is the mathematics underlying almost all of. Cs 70 discrete mathematics and probability theory note 18. Access study documents, get answers to your study questions, and connect with real tutors for ma 208. Course required ccaf credits to semester transfer take at. The aim of this book is not to cover discrete mathematics in depth it should be clear. This is a book about discrete mathematics which also discusses mathematical rea soning and.
Discrete mathematics delivery plannerassessment summary, semester 2. An introduction to discrete mathematical structures including functions, relations, sets, logic, matrices, elementary number theory, proof techniques, basics of counting, graphic theory. Computer science authorstitles recent submissions 207 skipped. Discrete mathematics university of virginia gabriel robins purpose. Mathematics for computer science eric lehman and tom leighton 2004. Properties of equivalence relations and partial orders august, 2012 nutan iitb cs 207 discrete mathematics 201220 may 2011 1 14. A spiral workbook for discrete mathematics covers the standard topics in a sophomorelevel course in discrete mathematics.
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