Discrete Mathematics Video 28: Ramsey Problem and Properties of Graphs

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Discrete Mathematics Video 28

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How much work will it be?We know you have other courses in which your grade matters. However, the only way to actually develop and retain skills from this course is to put in the time into coming to lecture and discussion, reading the book/watching lecture videos, and (most importantly) doing the homework. Not including time spent in class, a rough estimate is 5 hours per week.

Solving this requires using a branch of mathematics called graph theory, created by Leonard Euler. This mathematics looks to reduce problems to network graphs like that shown above. Before we can solve this we need to understand some terminology:

Prerequisites. This course is aimed for advanced undergraduate and graduate students interested in logic and theoretical computer science. Familiarity with basic logic and discrete mathematics (CS 173), basic algorithms and theory of computation (CS 374), and mathematical maturity will be expected.

2013-2014-SpringSets and propositions: Finite and infinite sets, mathematical induction, propositions. Permutations, combinations, and discrete probability. Relations and functions: binary, equivalence relations, partitions, partial ordering, functions. Graphs: weighted graphs, paths and circuits, shortest paths. Eulerian and Hamiltonian paths. Trees. Abstract algebra: groups, cosets, Lagrange's theorem, Boolean algebra.

Welcome to Discrete Mathematics 1, a course introducing Set Theory, Logic, Functions, Relations, Counting, and Proofs. Below, you will find the videos of each topic presented. If you have any suggestions or would like more practice on a certain topic, please send your suggestions to contact@trevtutor.com

Indeed, you have done a great job.Suggestion: Please write about the prerequisites below the course content.Otherwise what are the prerequisites for discrete mathematics 1 and Linear Algebra.

This is going to be great help to learn a lot of this stuff before I take Discrete in the fall semester in college. Discrete will be the hardest math class in the fall so these videos are a great help before I learn it,cause most of my time will be spent understanding Discrete cause I have many other classes to worry about that will be on the easier side like Calc and physics. Thanks for you help your videos make sense and you are a great tutor.

Course Description: Logic, mathematical induction, sets, relations, and functions. Introduction to graphs, elementary number theory, combinatorics, algebraic structures, and discrete probability theory.

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