Acerca de este Curso
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100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel principiante

Aprox. 25 horas para completar

Sugerido: 6 weeks, 2–5 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Árabe (Arabic)

Habilidades que obtendrás

Mathematical InductionProof TheoryDiscrete MathematicsMathematical Logic

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel principiante

Aprox. 25 horas para completar

Sugerido: 6 weeks, 2–5 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Árabe (Arabic)

Los estudiantes que toman este Course son

  • Chemists
  • Software Engineers
  • Security Engineers
  • Machine Learning Engineers
  • Data Scientists

Programa - Qué aprenderás en este curso

3 horas para completar

Making Convincing Arguments

10 videos (Total 43 minutos), 4 lecturas, 4 cuestionarios
10 videos
Proof by Example1m
Impossibility Proof2m
Impossibility Proof, II and Conclusion3m
One Example is Enough3m
Splitting an Octagon1m
Making Fun in Real Life: Tensegrities10m
Know Your Rights5m
Nobody Can Win All The Time: Nonexisting Examples8m
4 lecturas
1 ejercicio de práctica
Tiles, dominos, black and white, even and odd6m
5 horas para completar

How to Find an Example?

16 videos (Total 90 minutos), 6 lecturas, 12 cuestionarios
16 videos
Narrowing the Search6m
Multiplicative Magic Squares5m
More Puzzles9m
Integer Linear Combinations5m
Paths In a Graph4m
N Queens: Brute Force Search (Optional)10m
N Queens: Backtracking: Example (Optional)7m
N Queens: Backtracking: Code (Optional)7m
16 Diagonals (Optional)3m
Subset without x and 100-x4m
Rooks on a Chessboard2m
Knights on a Chessboard5m
Bishops on a Chessboard2m
Subset without x and 2x6m
6 lecturas
N Queens: Brute Force Solution Code (Optional)10m
N Queens: Backtracking Solution Code (Optional)10m
16 Diagonals: Code (Optional)10m
Slides (Optional)1m
3 ejercicios de práctica
Is there...20m
Number of Solutions for the 8 Queens Puzzle (Optional)20m
Maximum Number of Two-digit Integers2m
6 horas para completar

Recursion and Induction

13 videos (Total 111 minutos), 3 lecturas, 8 cuestionarios
13 videos
Coin Problem4m
Hanoi Towers7m
Introduction, Lines and Triangles Problem10m
Lines and Triangles: Proof by Induction5m
Connecting Points12m
Odd Points: Proof by Induction5m
Sums of Numbers8m
Bernoulli's Inequality8m
Coins Problem9m
Cutting a Triangle8m
Flawed Induction Proofs9m
Alternating Sum9m
3 lecturas
Two Cells of Opposite Colors: Hints10m
5 ejercicios de práctica
Largest Amount that Cannot Be Paid with 5- and 7-Coins10m
Pay Any Large Amount with 5- and 7-Coins20m
Number of Moves to Solve the Hanoi Towers Puzzle30m
Two Cells of Opposite Colors: Feedback
3 horas para completar


10 videos (Total 53 minutos), 2 lecturas, 9 cuestionarios
10 videos
Basic Logic Constructs10m
If-Then Generalization, Quantification8m
Reductio ad Absurdum4m
Balls in Boxes4m
Numbers in Tables5m
Pigeonhole Principle2m
An (-1,0,1) Antimagic Square2m
2 lecturas
4 ejercicios de práctica
Examples, Counterexamples and Logic14m
Numbers in Boxes5m
How to Pick Socks5m
Pigeonhole Principle10m
118 revisionesChevron Right


comenzó una nueva carrera después de completar estos cursos


consiguió un beneficio tangible en su carrera profesional gracias a este curso

Principales revisiones sobre Mathematical Thinking in Computer Science

por ADMar 26th 2019

The teachers are informative and good. They explain the topic in a way that we can easily understand. The slides provide all the information that is needed. The external tools are fun and informative.

por JVOct 16th 2017

I really liked this course, it's a good introduction to mathematical thinking, with plenty of examples and exercises, I also liked the use of other external graphical tools as exercises.



Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering

Michael Levin

Computer Science

Vladimir Podolskii

Associate Professor
Computer Science Department

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Discrete Math is needed to see mathematical structures in the object you work with, and understand their properties. This ability is important for software engineers, data scientists, security and financial analysts (it is not a coincidence that math puzzles are often used for interviews). We cover the basic notions and results (combinatorics, graphs, probability, number theory) that are universally needed. To deliver techniques and ideas in discrete mathematics to the learner we extensively use interactive puzzles specially created for this specialization. To bring the learners experience closer to IT-applications we incorporate programming examples, problems and projects in our courses....
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Preguntas Frecuentes

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