Discrete mathematics, sometimes called finite mathematics, is the study of mathematical structure that are fundamentally discrete, in the sense of not supporting notion of continuity. A study of discrete sets has become more and more necessary because of many application of Computer Science and various areas of engineering. Regarding computer science concept from discrete mathematics are useful to study or express objects or problems in computer algorithm and programming languages. For instance, to improve the efficiency of a computer programs, we need to study its logical structure, which involves a finite number of steps each requiring a certain amount of time. Using the theory of combinatory and graph theory, major areas of discrete mathematics, we can do this. Therefore, a study of these areas would complement and improve the understanding of courses based on algorithm and problem solving. This course is designed to give basic concepts of propositions, predicates, Boolean algebra, logic circuit, sets, relations, functions, combinatorics, partitions and distributions.
Propositions, Logical Connectives, Disjunction, Conjunction, Negation, Conditional Connectives, Precedence Rule, Logical Equivalence, Logical Quantifiers
Unit 2 : Methods of ProofWhat is a Proof?, Different Methods of Proof, Direct Proof, Indirect Proofs, Counter Examples, Principle of Induction
Unit 3 : Boolean Algebra and CircuitsBoolean Algebras, Logic Circuits, Boolean Functions
Introducing Sets, Operations on Sets, Basic Operations, Properties Common to Logic and Sets Relations, Cartesian Product, Relations and their types, Properties of Relations, Functions, Types of Functions, Operations on Functions
Unit 2 : Combinatorics – An IntroductionMultiplication and Addition Principles, Permutations, Permutations of Objects not Necessarily Distinct, Circular Permutations, Combinations, Binomial Coefficients, Combinatorial Probability
Unit 3 : Some More Counting PrinciplesPigeonhole Principle, Inclusion-Exclusion Principle, Applications of Inclusion – Exclusion, Application to Surjective Functions, Application to Probability, Application to Derangements.
Unit 4 : Partitions and DistributionsInteger Partitions, Distributions, Distinguishable Objects into Distinguishable Containers,Distinguishable Objects into Indistinguishable Containers, Indistinguishable Objects into Distinguishable Containers, Indistinguishable Objects into Indistinguishable Containers.
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I've been learning and working in graphic design for many years. I actually picked up so many tips to make my designs look better! I love that trainer is always saying the shortcuts and where to find certain things in the programs. I have n
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Yes, This is the good session for me. I learned multiple things in this session like sentence formation, how can i used a,an,the articles and wh questions like where, who, what, how.....
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i joined the english speaking course because i wanted to learn english properly and improve my level of english .when i joined udemy ,i experienced a lot of thing and i gained a lot of knowledge about english. i got confidence too and now i
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This MS Excel course is very student friendly and easy to cope up with our daily work schedule.attitude academy has done an excellent job in presenting the content in simple way covering almost all the topics from beginner level to VBA.
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