About this Course

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Learner Career Outcomes

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got a tangible career benefit from this course
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Flexible deadlines
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Beginner Level
Approx. 37 hours to complete
English

Skills you will gain

Mathematical InductionProof TheoryDiscrete MathematicsMathematical Logic

Learner Career Outcomes

35%

started a new career after completing these courses

32%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Beginner Level
Approx. 37 hours to complete
English

Offered by

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University of California San Diego

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National Research University Higher School of Economics

Syllabus - What you will learn from this course

Content RatingThumbs Up88%(23,666 ratings)Info
Week
1

Week 1

3 hours to complete

Making Convincing Arguments

3 hours to complete
10 videos (Total 43 min), 5 readings, 4 quizzes
10 videos
Proofs?3m
Proof by Example1m
Impossibility Proof2m
Impossibility Proof, II and Conclusion3m
One Example is Enough3m
Splitting an Octagon1m
Making Fun in Real Life: Tensegrities (Optional)10m
Know Your Rights5m
Nobody Can Win All The Time: Nonexisting Examples8m
5 readings
Rules on the academic integrity in the course10m
Slides10m
Python10m
Slides1m
Acknowledgements1m
1 practice exercise
Tiles, dominos, black and white, even and odd30m
Week
2

Week 2

6 hours to complete

How to Find an Example?

6 hours to complete
16 videos (Total 90 min), 6 readings, 12 quizzes
16 videos
Narrowing the Search6m
Multiplicative Magic Squares5m
More Puzzles9m
Integer Linear Combinations5m
Paths In a Graph4m
N Queens: Brute Force Search10m
N Queens: Backtracking: Example7m
N Queens: Backtracking: Code7m
16 Diagonals3m
Warm-up5m
Subset without x and 100-x4m
Rooks on a Chessboard2m
Knights on a Chessboard5m
Bishops on a Chessboard2m
Subset without x and 2x6m
6 readings
Slides1m
N Queens: Brute Force Solution Code10m
N Queens: Backtracking Solution Code10m
16 Diagonals: Code10m
Slides1m
Slides1m
3 practice exercises
Is there...20m
Number of Solutions for the 8 Queens Puzzle20m
Maximum Number of Two-digit Integers30m
Week
3

Week 3

7 hours to complete

Recursion and Induction

7 hours to complete
13 videos (Total 111 min), 3 readings, 10 quizzes
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 readings
Two Cells of Opposite Colors: Hints10m
Slides1m
Slides10m
5 practice exercises
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
Induction30m
Week
4

Week 4

4 hours to complete

Logic

4 hours to complete
10 videos (Total 53 min), 2 readings, 9 quizzes
10 videos
Counterexamples4m
Basic Logic Constructs10m
If-Then Generalization, Quantification8m
Reductio ad Absurdum4m
Balls in Boxes4m
Numbers in Tables5m
Pigeonhole Principle2m
An (-1,0,1) Antimagic Square2m
Handshakes3m
2 readings
Slides10m
Slides1m
4 practice exercises
Examples, Counterexamples and Logic30m
Numbers in Boxes5m
How to Pick Socks5m
Pigeonhole Principle10m

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About the Introduction to Discrete Mathematics for Computer Science Specialization

Introduction to Discrete Mathematics for Computer Science

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