Science & Social Sciences  Most Popular  Hands On Training    # Combinatorics: Strategies and Methods for Counting  Course Features  Duration

4 weeks  Delivery Method

Online  Available on  Accessibility

Mobile, Desktop  Language

English  Subtitles

English  Level

Intermediate  Effort

6 hours per week  Teaching Type

Self Paced

Course Description

Combinatorics refers to mathematics that focuses primarily on counting. Combinatorial problems can arise in many areas, including algebra, probability theory and topology. This free online course in combinatorics will show you how to convert a combinatorial problem into the counting of elements in a reference mathematical structure. You will learn the basics of counting and how to identify common errors in their misuse. You'll find that combinatorics doesn't seem as hard as you think.

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Skills You Will Gain

What You Will Learn  Apply the principles of combinatorics to solve the basic combinatorial problems  Model some real life counting problems into that of counting precise mathematical structures  Identify the mathematical structure which lies besides a combinatorial problem: sequences, collections, sharings, compositions, partitions, derangements  Identify the principle to face a combinatorial problem: bijiection, multiplication, division  Calculate the probability of an event when the sample space is composed by equiprobable elementary events  Calculate the number of possible outcomes of an aleatory experiment  Calculate the number of sequences of prescribed length, with or without repetitions, from a given alphabet  Calculate the number of sets of given cardinality  Calculate the number of partitions of a given set in a prescribed number of subsets  Calculate the number of permutations of a sequence without repetitions  Calculate the number of distributions of distinguishable-indistinguishable objects in a given number of numbered boxes (possibly empty)  Calculate the number of distributions of distinguishable-indistinguishable objects in a given number of numbered non-empty boxes

Target Students  This course is ideal for anyone interested in mathematical problems, with a basic background in precalculus  It would be useful for anyone wanting to study or work in mathematics, or anyone who wants to develope their critical thinking and problem-solving skills

Course Instructors

I am a professor of algebra at the University of Padova and I teach at the science and engineering faculties. I like very much math and classical music.
I am professor of mathematical analysis at the University of Padova. Among my interests: magic, tango, photography, innovative teaching, technology and e-learning.   1 Coupon Available
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