Course Name : Discrete Mathematics 1
Students : 1K+
Duration : 61 hours & 408 downloadable resources
Avg Rating : 4.5
Original Price : $119.99
Discount Price : $12
Instructor / Provider : Udemy
Course Type : Self Paced Online Course. Lifetime Access
Coupon : Click on ENROLL NOW to apply discount code
What you’ll learn
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How to solve problems in chosen Discrete-Mathematics topics (illustrated with 395 solved problems) and why these methods work, step by step.
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Elementary Logic, including proving tautologies that involve implications, conjunctions, and disjunctions; necessary and sufficient conditions.
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Elementary Set Theory, including working with intersections and unions of sets, and other set-related topics.
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An introduction to mathematical theories, with concepts like axiom, theorem, primitive notion, etc.
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The concept of function between two discrete sets: injections, surjections, bijections.
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The concept of (a binary) relation as a subset of Cartesian product of two sets: RST relations, order relations, etc.
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RST relations and the concept of equivalence classes; an illustration for a modulo relation between integers.
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Functions as relations; various ways of depicting functions between two discrete sets; equipotent sets.
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An introduction to the topic of sequences, only basic concepts that can be needed in Combinatorics; we come back to the topic of sequences in DM3.
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Various proof techniques, including direct proofs, proofs by contradiction, proofs by contrapositive, Mathematical Induction, and Pigeonhole Principle.
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A preparation for Combinatorics: the concept of index, the sigma sign (with computational rules), n factorial, n choose k, Pascal’s Triangle, Binomial Theorem.
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A brief introduction to Combinatorics: the art of counting. Permutations, combinations, paths, etc; the topic will be continued in the first sections of DM2.
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Playful logical problems and riddles, including the famous Zebra Puzzle (Einstein’s Riddle), and some classical riddles about liars and truth tellers.
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This is the first course in Discrete Mathematics, so don’t worry that neither Number Theory nor Graph Theory are covered; they will be covered in a sequel.
Deal Score0
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