The course will present a thorough introduction to the fundamental algorithmic techniques of Discrete Mathematics – Linear and Convex Programming, flow & matching theory, randomization, and approximation. And will cover a variety of optimization problems by applying these techniques to find efficient algorithms and will discuss how fast a maximum matching can be found in a graph and what duality is and how to make use of it.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.
Having an Official Edukite Certification is a great way to celebrate and share your success. You can:
- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success
Course Credit: MIT
Course Curriculum
Matching Algorithms | 00:15:00 | ||
Polyhedral Combinatorics | 00:10:00 | ||
The Matching Polytope Bipartite Graphs | 00:05:00 | ||
The Matching Polytope General Graphs | 00:05:00 | ||
Flow Duality and Algorithms | 00:10:00 | ||
Minimum Cuts | 00:05:00 | ||
Linear Programs | 00:05:00 | ||
The Simplex Algorithm | 00:15:00 | ||
The Primal-dual Algorithm | 00:05:00 | ||
The Ellipsoid Algorithm | 00:05:00 | ||
Separation Oracles | 00:05:00 | ||
NP-completeness | 00:10:00 | ||
Approximation Algorithms | 00:10:00 | ||
Assessment | |||
Submit Your Assignment | 00:00:00 | ||
Certification | 00:00:00 |
Course Reviews
No Reviews found for this course.