subject
Intro

Linear and Discrete Optimization

 with  Friedrich Eisenbrand
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This course serves as an introduction to linear and discrete optimization from the viewpoint of a mathematician or computer scientist.  Besides learning how linear and discrete optimization can be applied, we focus on understanding methods that solve linear programs and discrete optimization problems in a mathematically rigorous way.

We will answer  questions like:

  • Does a particular method work correctly?
  • Does it terminate and, if yes, in what time?
  • Can we prove that a solution is optimal?
The course starts by discussing what a linear program is and how linear programming can be applied. Then, we will treat the simplex method and the theory of duality. We will then discuss some combinatorial optimization problems like maximum weight bipartite matching and maximum flows. 

The course constitutes about half of the material on linear and discrete optimization that is taught for mathematics and computer science undergraduates at EPFL and will feature video lectures, quizzes, programming assignments, and a final exam.

Syllabus

  • Linear programming, modeling, equivalence of standard forms
  • Basic solutions, primal and dual feasible basic solutions, pivoting and the simplex method
  • Termination and complexity of the simplex method
  • Integer programming, bipartite matching and flows
  • Models of computation, bit-complexity

4 Student
reviews
Cost Free Online Course
Pace Finished
Provider Coursera
Language English
Certificates Certificate Available
Hours 3-6 hours a week
Calendar
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FAQ View All
What are MOOCs?
MOOCs stand for Massive Open Online Courses. These are free online courses from universities around the world (eg. Stanford Harvard MIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you.  They also have student discussion forums, homework/assignments, and online quizzes or exams.

4 reviews

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4 years ago
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Anonymous completed this course.
Excellent lectures so far. I can see the the lecturer spent a large amount of time and energy for making advanced materials like proofs accessible to students.

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2 years ago
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Marieta Atanasova completed this course.
This is my first one, but I think it will be very usefull for me
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0 out of 1 people found the following review useful
a year ago
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Rafael Prados completed this course.
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0 out of 1 people found the following review useful
12 months ago
Asr dropped this course.
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