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MOOC Massive Open Online Courses (Academic Year 2018/2019)

Discrete Mathematics



Exercises

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Lesson n.1: Discrete Mathematics

Lesson n.2: Induction and recursion

Lesson n.3: Mathematical Induction

Lesson n.4: Mathematical induction - Part II

Lesson n.5: The extend principle of Mathematical induction

Lesson n.6: More examples on the other principles of induction

Lesson n.7: The second principle on Mathematical Induction

Lesson n.8: Tower of Hanoi

Lesson n.9: The n-th Fibonacci numbers

Lesson n.10: Counting

Lesson n.11: Some important examples using combinations

Lesson n.12: Binomial expansions

Lesson n.13: Pascal’s triangle

Lesson n.14: Recursion relations and generating functions

Lesson n.15: Solving recursion relations

Lesson n.16: Solving recursion relations and generating functions

Lesson n.17: Generating Functions

Lesson n.18: More applications of the generating functions

Lesson n.19: Elementary number theory

Lesson n.20: Prime Numbers

Lesson n.21: Prime Numbers – Part II

Lesson n.22: Divisibility Properties

Lesson n.23: Divisibility Properties – Part II

Lesson n.24: Congruence

Lesson n.25: Congruence – Part II