University of Padova - Combinatorics: Strategies and Methods for Counting
- Offered byFutureLearn
Combinatorics: Strategies and Methods for Counting at FutureLearn Overview
Duration | 4 hours |
Total fee | ₹2,763 |
Mode of learning | Online |
Credential | Certificate |
Combinatorics: Strategies and Methods for Counting at FutureLearn Highlights
- Calculate the number of possible outcomes of an aleatory experiment.
- Identify the mathematical structure which lies besides a combinatorial problem: sequences, collections, sharings, compositions, partitions, derangements.
- Complete 90% of course steps and all of the assessments to earn your certificate
Combinatorics: Strategies and Methods for Counting at FutureLearn Course details
- .On this free online combinatorics course, you will discover a simple and efficient method to translate a combinatorial problem into counting the elements of a reference mathematical structure.
- You will learn basic counting principles, and be able to explain the most frequent errors in their misuse. Ultimately, you will discover that combinatorics is not as difficult as it seems.
- You can sign up at any time. However, if you would like to take advantage of feedback from the educators and your mentors, you can do so within the following periods:
- June 1 - July 15
- December 1 - January 15
Combinatorics: Strategies and Methods for Counting at FutureLearn Curriculum
How and what to count
Welcome to the course
The basic objects of combinatorics
Distribution of objects
The basic principles of combinatorics
Uniform probability
Test yourself
Counting sequences and collections
Counting sequences
Counting collections without repetitions
Counting arbitrary collections and compositions
Constraints on collections, compositions, and sequences
Test yourself
The Inclusion/Exclusion Principle and its applications
The inclusion/exclusion principle
The inclusion/exclusion principle for intersection of sets
Distribution of distinct objects into distinguishable boxes and derangements
Distribution of distinct objects into undistinguishable boxes.
Test yourself
Counting with formal power series
Formal power series
Advanced Combinatorics
Test yourself
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