Introduction to algorithms and analysis

By Prof. Sourav Mukhopadhyay | IIT Kharagpur

Learners enrolled: 5496

This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems. The course emphasizes the relationship between algorithms and programming, and introduces basic performance measures and analysis techniques for these problems.

INTENDED AUDIENCE : UG,PG, B. Tech., M. Tech., M. Sc.

PREREQUISITES : NILL

INDUSTRY SUPPORT : IT companies

Summary

Course Status :	Completed
Course Type :	Elective
Language for course content :	English
Duration :	12 weeks
Category :	Computer Science and Engineering
Credit Points :	3
Level :	Undergraduate/Postgraduate
Start Date :	26 Jul 2021
End Date :	15 Oct 2021
Enrollment Ends :	09 Aug 2021
Exam Date :	23 Oct 2021 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Sorting problem, time complexity, asymptotic analysis.

Week 2: Solving recurrence, Divide-and-Conquer.

Week 3: Quicksort and Heap Sort, Decision Tree.

Week 4: Linear time Sorting, Order Statistics.

Week 5: Hash Function, Binary Search Tree (BST) Sort.

Week 6: Randomly build BST, Red Black Tree, Augmentation of data structure.

Week 7: Van Emde Boas, Amortized analysis, Computational Geometry.

Week 8: Dynamic Programming, Graphs, Prim's Algorithms.

Week 9: BFS & DFS, Shortest path problem, Dijktra, Bellman Ford.

Week 10: All pairs shortest path, Floyd-Warshall, Johnson Algorithm.

Week 11: More amortized analysis, disjoint set data structure.

Week 12: Network flow, computational complexity.

Books and references

1) Cormen, Thomas, Charles Leiserson, Ronald Rivest, and Clifford Stein. Introduction to Algorithms. 3rd ed. MIT

Press, 2009. ISBN: 9780262033848.

2) "Computational Geometry - Algorithms and applications" by Mark de Berg, Otfeied Cheong, Marc Van Kreveld and

Mark Overmars. 3rd Edition, Springer

Instructor bio

Prof. Sourav Mukhopadhyay

IIT Kharagpur

Sourav Mukhopadhyay is an Associate Professor, Department of Mathematics at Indian Institute of Technology Kharagpur. He has completed his B.Sc (Honours in Mathematics) in1997 from University of Calcutta, India. He has done M.Stat (in statistics) and M.Tech (in computer science) from Indian Statistical Institute, India, in 1999 and 2001 respectively. He worked with Cryptology Research Group at Indian Statistical Institute as a PhD student and received his Ph.D. degree in Computer Science from there in 2007. He was a Research Assistant at the Computer Science department of School of Computing, National University of Singapore (NUS). He visited Inria Rocquencourt, project CODES, France and worked as a post-doctoral research fellows at the School of Computer Engineering, Nanyang Technological University (NTU), Singapore. He was a post-doctoral research fellows and a part time Lecturer with School of Electronic Engineering, Dublin City University (DCU), Ireland.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 23 October 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kharagpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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