Students will explore number systems other than our commonly used decimal system, and investigate the applications of such in the realm of computer science. Practice in reasoning formally and proving theorems. Discrete math for computer science students ken bogart dept. Cs 70 discrete mathematics for cs spring 2005 clancywagner. You will study some of the fundamental theoretical topics in computer science. Discrete mathematics uses a range of techniques, some of which is seldom found in its continuous counterpart. Cs 201 data structures and discrete mathematics i spring. Cps102 discrete mathematics practice final exam in contrast to the homework, no collaborations are allowed. Computer science authorstitles recent submissions 207 skipped. Cs 70 discrete mathematics for cs spring 2008 david wagner note 3 proofs intuitively, the concept of proof should already be familiar.
However, the rigorous treatment of sets happened only in the 19th century due to the german math ematician georg cantor. Mathematics for computer science eric lehman and tom. Introduction to discrete structures and probability. Discrete mathematics for computer science department of computer. 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. My goal was to show the relevance and practicality of discrete mathematics to students, who are often skeptical. Cs208dlaf2a2019 discrete mathematics policy quiz due oct. Hauskrecht modular arithmetic in cs modular arithmetic and congruencies are used in cs. Cs 201 data structures and discrete mathematics i spring 2004 programming assignment 1. Discover the best homework help resource for cs at park university. Cs 70 discrete mathematics for cs spring 2008 david wagner.
Integers and division cs 441 discrete mathematics for cs m. Double counting august 14, 2012 nutan iitb cs 207 discrete mathematics 201220 may 2011 1 1. Cs208dlaf2a2019 discrete mathematics quiz chapter 3 due oct 27 at 11. Discrete math is needed to see mathematical structures in the object you work with. Dieter van melkebeek updates by beck hasti and gautam prakriya in the last reading, we analyzed the running times of various algorithms. 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.
A course in discrete structures cornell university. Problem set omega highlights tue, 12 dec 2017 here are some of our favorite problem set. Because the notion of a tree is so fundamental in computer science and else. These are notes on discrete mathematics for computer scientists. Properties of equivalence relations and partial orders august, 2012 nutan iitb cs 207 discrete mathematics 201220 may 2011 1 14. This course will roughly cover the following topics and speci c applications in computer science. Mathematical reasoning and mathematical objects lecture 7. We now present three simple examples to illustrate this. Discrete mathematics, second edition in progress cis upenn. Indeed i begin with a discussion of the basic rules of mathematical reasoning and of. The curriculum of most undergraduate programs in computer science includes a course titled discrete mathematics.
An introduction to discrete mathematical structures including functions, relations, sets, logic, matrices, elementary number theory, proof techniques, basics of counting, graphic theory. Discrete mathematics authorstitles recent submissions. Cs 1200 discrete mathematics for cs iit madras cse dept. Recursive calls calculate the greatest common divisor gcd of the following pairs of numbers using the euclidean algorithm. A course in discrete structures cornell computer science.
Discrete mathematics delivery plannerassessment summary, semester 2. Introduction to discrete mathematics for computer science. Mathematics for computer science eric lehman and tom leighton. Discrete mathematics the study of mathematical properties of sets and systems that have only a specifc number of elements. The aim of this book is not to cover discrete mathematics in depth it should be clear. Cs 151, introduction to programming, or cs 152, introduction to python programming 3 3 cs 208, discrete mathematics 3 3 cs 240, web programming i 3 3 cs 300, technologies in a global society 3 3 cs 365, computer networking 3 3 is 205, managing information systems 3 3.
Learn introduction to discrete mathematics for computer science from university of california san diego, national research university higher school of economics. 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. We expressed the number of steps an algorithm makes as a function of the input size. A proof provides a means for guaranteeing such claims. 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. Mathematics for computer science eric lehman and tom leighton 2004. This is a book about discrete mathematics which also discusses mathematical rea soning and. 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 all like to assert things, and few of us like to say things that turn out to be false. Cs 70 discrete mathematics and probability theory counting. Access study documents, get answers to your study questions, and connect with real tutors for cs 208.
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 mathematics for computer science students examines the concepts of number theory, set theory, and graph theory. Documents course textbook mathematics for computer science lehman, leighton, meyer. He was solely responsible in ensuring that sets had a home in mathematics. Access study documents, get answers to your study questions, and connect with real tutors for ma 208. Topics include propositional logic, discrete mathematics, and linear algebra. At the same time, it is the mathematics underlying almost all of.
This is the preserved website for the fall 2016 course. Cs 70 discrete mathematics and probability theory note 18. Discrete math final exam solutions sat, 16 dec 2017 here are some comments on the final exam. Because the states of a computer are discrete, this is the part of mathematics most associated with computer science. Cs 70 discrete mathematics and probability theory spring 2016 rao and walrand discussion 4a 1. We hope everyone found the class worthwhile and enlightening. Inductively defined sets we can use the two propositions to.
Discrete here is used as the opposite of continuous. 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 spring 2016. Course required ccaf credits to semester transfer take at. The proposed course replaces erstwhile cs203 discrete structures that was not in. Why study discrete mathematics in computer science.
Cs208dlaf2a2019 discrete mathematics policy quiz due oct 27 at 11. The basic objects of discrete mathematics are the set of integers and of logical values. Math cs 240 covers the fundamentals of discrete mathematics. Discrete math fall 2016 fall 2017 course fri, 17 mar 2017. A distributive property of multiplication over addition multiplying a sum by a number is the same as. For the extension school course csci e20, click here. We then apply these techniques to prove properties of simple recursive programs. Mathematical foundations of computer science course. 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. Discrete mathematics university of virginia gabriel robins purpose.
You can use all your notes, calculator, and any books you think are useful. The proposed course replaces erstwhile cs203 discrete structures. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Discrete mathematics and its applications by kenneth rosen, mcgraw hill, 7th edition. Novel metaheuristic model for discrimination between iron deficiency anemia and bthalassemia with cbc indices based on dynamic harmony search. Introduction to discrete structures and probability, spring 2020. He developed two types of trans nite numbers, namely, trans nite ordinals and trans nite. In this chapter, well illustrate the power of this proof method with a few simple examples. Discrete structures lecture notes stanford university. 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. Hauskrecht integers and division number theory is a branch of mathematics that explores integers and their properties.
A spiral workbook for discrete mathematics covers the standard topics in a sophomorelevel course in discrete mathematics. The mathematics in these applications is collectively called discrete mathematics. Discrete structures lecture notes vladlen koltun1 winter 2008 1computer science department, 353 serra mall, gates 374, stanford university, stanford, ca 94305, usa. Number theory athe math behind the rsa crypto system.
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