Swayam Central

Discrete Mathematics

By Prof. Sudarshan Iyengar, Prof. Neeldhara   |   IIT Ropar, IIT Gandhinagar
The course will be an introduction to Discrete Mathematics which comprises of the essentials for a computer science student to go ahead and study any other topics in  the subject. The emphasis will be on problem solving as well as proofs. We will be providing motivational illustrations and applications through out the course. The course doesn't assume any pre-requisites except for high school level arithmetic and algebra.

INTENDED AUDIENCE: Any Interested Learners
INDUSTRY SUPPORT:   Every industry expects candidates to have good aptitude. This course sharpens the overall Quant skills.

Learners enrolled: 6280


Course Status : Upcoming
Course Type : Core
Duration : 12 weeks
Start Date : 14 Sep 2020
End Date : 04 Dec 2020
Exam Date : 20 Dec 2020
Enrollment Ends : 21 Sep 2020
Category :
  • Computer Science and Engineering
  • Foundations of Computing
  • Level : Undergraduate


    Week 1:  Counting
    Week 2:  Set Theory
    Week 3:  Logic
    Week 4:  Relations
    Week 5:  Functions
    Week 6:  Mathematical Induction and Pegionhole Principle
    Week 7:  Graph Theory - 01
    Week 8:  Graph Theory - 02
    Week 9:  Graph Theory - 03 and Generating Functions
    Week 10: Principle of Inclusion-Exclusion
    Week 11: Recurrence relations
    Week 12: Advanced Topics


    1. Discrete and Combinatorial Mathematics by Ralph P Grimaldi 
    2. Discrete Mathematics and its Applications by Kenneth H Rosen


    Prof. Sudarshan Iyengar

    IIT Ropar
    Sudarshan Iyengar has a PhD from the Indian Institute of Science and is currently working as an assistant professor at IIT Ropar and has been teaching this course from the past 4 years.

    Prof. Neeldhara

    IIT Gandhinagar


    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: 20 December 2020 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.


    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 Madras .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