MOOC Massive Open Online Courses (Ακαδημαϊκό έτος 2018/2019)

Discrete Mathematics

ν. μαθήματος 1: Discrete Mathematics Induction and Recursion The principle of recursive definition		Mashhoor Refai
ν. μαθήματος 2: Induction and recursion Principle of recursive definition Example		Mashhoor Refai
ν. μαθήματος 3: Mathematical Induction Mathematical induction Principle of Mathematical Induction Using the other method		Mashhoor Refai
ν. μαθήματος 4: Mathematical induction - Part II More examples		Mashhoor Refai
ν. μαθήματος 5: The extend principle of Mathematical induction More examples on induction Other principles of induction		Mashhoor Refai
ν. μαθήματος 6: More examples on the other principles of induction Example on the extend principle The relation between the two principles		Mashhoor Refai
ν. μαθήματος 7: The second principle on Mathematical Induction The second principle Tower of Hanoi		Mashhoor Refai
ν. μαθήματος 8: Tower of Hanoi Tower of Hanoi Exercises		Mashhoor Refai
ν. μαθήματος 9: The n-th Fibonacci numbers Fibonacci numbers		Mashhoor Refai
ν. μαθήματος 10: Counting Introduction - Counting Permutations and combinations		Mashhoor Refai
ν. μαθήματος 11: Some important examples using combinations Examples of using combinations Combinations of similar groupings		Mashhoor Refai
ν. μαθήματος 12: Binomial expansions The binomial theorem Newtons binomial		Mashhoor Refai
ν. μαθήματος 13: Pascal’s triangle Pascal’s triangle Recursion Relations		Mashhoor Refai
ν. μαθήματος 14: Recursion relations and generating functions Solving Recursion relations Definition		Mashhoor Refai
ν. μαθήματος 15: Solving recursion relations Characteristic equation Example and Solution		Mashhoor Refai
ν. μαθήματος 16: Solving recursion relations and generating functions Characteristic equation Generating Functions		Mashhoor Refai
ν. μαθήματος 17: Generating Functions Generating functions Theorem		Mashhoor Refai
ν. μαθήματος 18: More applications of the generating functions Corollary Theorem		Mashhoor Refai
ν. μαθήματος 19: Elementary number theory Elementary Number Theory Prime Numbers		Mashhoor Refai
ν. μαθήματος 20: Prime Numbers Definition How Can we decide if a number is prime? Listing Primes		Mashhoor Refai
ν. μαθήματος 21: Prime Numbers – Part II Notes By a previous theorem		Mashhoor Refai
ν. μαθήματος 22: Divisibility Properties		Mashhoor Refai
ν. μαθήματος 23: Divisibility Properties – Part II Example Theorem Congruence		Mashhoor Refai
ν. μαθήματος 24: Congruence Theorem Example		Mashhoor Refai
ν. μαθήματος 25: Congruence – Part II Theorem Example		Mashhoor Refai

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MOOC Massive Open Online Courses (Ακαδημαϊκό έτος 2018/2019)

Discrete Mathematics

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MOOC Massive Open Online Courses (Ακαδημαϊκό έτος 2018/2019)

Discrete Mathematics

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