About this Course

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Approx. 33 hours to complete
English
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Approx. 33 hours to complete
English

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École normale supérieure

Syllabus - What you will learn from this course

Week
1

Week 1

8 hours to complete

Linear Programming Duality

8 hours to complete
9 videos (Total 87 min), 11 readings, 9 quizzes
9 videos
Properties of LP duality6m
Geometry of LP duality10m
Proof of weak duality theorem6m
Changing the form of the LP10m
Complementary slackness5m
Primal-dual algorithms5m
Vertex cover by primal-dual23m
Conclusion3m
11 readings
Slides10m
Comment10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 130m
Quiz 230m
Quiz 330m
Quiz 430m
Quiz 530m
Quiz 630m
Quiz 730m
Quiz 830m
Week
2

Week 2

8 hours to complete

Steiner Forest and Primal-Dual Approximation Algorithms

8 hours to complete
8 videos (Total 73 min), 9 readings, 9 quizzes
8 videos
A special case: Steiner tree12m
LP relaxation for Steiner forest6m
... and its dual4m
Primal-dual algorithm, Part110m
Primal-dual algorithm,Part 212m
Analysis13m
Proof of the main lemma9m
9 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 130m
Quiz 230m
Quiz 330m
Quiz 430m
Quiz 530m
Quiz 630m
Quiz 730m
Quiz 830m
Week
3

Week 3

8 hours to complete

Facility Location and Primal-Dual Approximation Algorithms

8 hours to complete
9 videos (Total 64 min), 10 readings, 9 quizzes
9 videos
A linear programming relaxation4m
...and its dual8m
A primal-dual algorithm7m
Analyzing the service cost7m
Analyzing the facility opening cost7m
A better algorithm11m
Analysis7m
Conclusion4m
10 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 130m
Quiz 230m
Quiz 330m
Quiz 430m
Quiz 530m
Quiz 630m
Quiz 730m
Quiz 830m
Week
4

Week 4

9 hours to complete

Maximum Cut and Semi-Definite Programming

9 hours to complete
11 videos (Total 76 min), 12 readings, 10 quizzes
11 videos
A 2-approximation5m
A linear programming relaxation...11m
...with an integrality gap of almost 210m
Proof of Lemma7m
A quadratic programming relaxation4m
General facts about semidefinite programming7m
A rounding algorithm7m
Analysis6m
General facts about MaxCut6m
The end!3m
12 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Sldies10m
Slides10m
Slides-all10m
Comment10m
9 practice exercises
Quiz 130m
Quiz 230m
Quiz 330m
Quiz 430m
Quiz 530m
Quiz 630m
Quiz 730m
Quiz 830m
Quiz 930m

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