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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

The Basic Calculus 1 and 2 online course offers a better understanding of the Calculus taught in classes 11 and 12. The course will explain in detail the methodologies of calculus. The topics such as differentiability, continuity of a function, and its applications will be discussed. The course will teach how to interpret a real number. The course will provide an understanding of the results. The series representation will be shown in the course curriculum.

The course is an online-based learning program. The course offers free access. The candidates who belong to disadvantaged groups of society will be benefitted. The course is offered on the NPTEL platform. The course will be accredited by the Indian Institute of Technology Kanpur. The course will be graded on the 6 best assignments out of 8 assignments and the final exam.

The Basic Calculus 1 and 2 certification is offered by NPTEL and can be e-verified. The certification is shareable on all platforms such as Linkedin, Facebook, Instagram, and many more. The certification will help gain new professional networks. This course is initiated by the government of India so the course certification is authentic and verifiable.

The Highlights

  • 8 weeks of course duration
  • Online learning platform
  • Offered in the Swayam platform
  • Verified by Indian Institute of Technology Kanpur
  • Undergraduate level
  • Swayam platform run by MHRD
  • Offered by NPTEL 
  • Shareable certification
  • E-certification offered
  • Books and references provided on the course website

Programme Offerings

  • discussion forum
  • assignments
  • assessment
  • online learning
  • case study
  • references
  • Books
  • video lectures
  • audio lectures

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Kanpur

The candidates must check the Basic calculus 1 and 2 fees details given in these following points-

  • The course is free.
  • The certification examination costs Rs. 1000. It is optional.

Fee category

Amount in rupees

Program fee


Certification examination fee


Eligibility Criteria


The candidates enrolled in this Basic Calculus 1 and 2 by Swayam must have completed their 12th standard.

Certification qualifying details

The candidates will have to register in the registration certification examination to qualify for the certificate. The 6 best-assigned works out of 8 will be graded for the total score. The candidates will have to score a minimum of 10 in assignments and a minimum of 30 in final exams. Then the candidates can gain the certificate if these two criteria are met. 

What you will learn

Mathematical skill

The interested participants who will enrol in the Basic Calculus 1 and 2 certification course will gain the following learning outcomes-

  • The course instructor will discuss integrations and their various applications.
  • The calculus theorems such as Sandwich theorem, Bolzano-Weierstrass theorem, Rolle’s theorem, and Intermediate theorem will be discussed in the course.
  • Introduction to real numbers will be given in the course.
  • How integrations are used in determining the area and volume will be discussed.
  • The Basic Calculus 1 and 2 certification syllabus is structured in step by step continuity, differentiability, and integrability of a real value function.
  • The candidates will gain an understanding of the real numbers, density, and decimal numbers.
  • The candidates who already have the knowledge of calculus taught in their 12th standard will be provided further knowledge.
  • The books and references provided on the course website will help the candidates in learning about basic calculus.
  • Certain series representations in real value functions will be analyzed and discussed in the Basic Calculus 1 and 2 program.

Who it is for

This course will benefit by helping the candidates clear up their concept of basic calculus. The Basic Calculus 1 and 2 online course will benefit the following candidates- 

  • Those candidates who have enrolled in mathematics honors must apply in this course.
  • The 1st year B.Tech students will profit from this course.
  • The candidates who are interested in mathematics and wish to clear their calculus concepts must apply in this course.

Admission Details

The interested students who are looking forward to Basic Calculus 1 and 2 certification course must follow these admission steps –

Step 1- The candidates will have to click on this URL - 

Please note: Candidates need to wait for admissions to open. As of now, they are closed. 

The Syllabus

  • Algebra of Real Numbers
  • Set of Axioms
  • Completeness
  • Density
  • Decimal representation of real numbers

  • Convergence of sequences
  • Properties of limit
  • Sandwich Theorem
  • Monotonic sequences
  • Cantor's completeness Principle
  • Bolzano-Weierstrass Theorem
  • Cauchy's completeness

  • Convergence of series
  • Comparison test
  • Root test
  • Ratio test
  • Power series
  • Leibniz's condition

  • Continuity
  • Intermediate Value theorem
  • Properties of continuous functions

  • Differentiation
  • Rolle's Theorem
  • Mean Value theorem
  • Higher derivatives 
  • Taylor theorem

  • Curve tracing
  • Applications of derivatives

Evaluation process

The candidates will have to sit for the certification examination to receive the certification. The certification exam will be held in certain designated centers.


IIT Kanpur Frequently Asked Questions (FAQ's)

1: How many assignments do I have to submit in this Basic Calculus 1 and 2 training?

The candidates for this course will have to submit a total of 8 assignments. The 6 best assignments out of the total 8 assignments will be calculated.

2: Where is the exam registration form on the course website?

The announcements for the exam registration form will be given on the Swayam course website. The candidates will have to fill in the link to download the registration form.

3: What will be imprinted in my course certificate?

In the Basic Calculus 1 and 2 certification, the candidate’s name, photograph and final score will be imprinted. It will also have logos of NPTEL and IIT Kanpur.

4: Where can I contact for more information on the Swayam platform?

The candidates can contact the Swayam platform on the Swayam Helpline/Support section. It lies on the right bottom side of the course website.

5: Is there any way to receive a free certificate from Swayam?

No, the Swayam platform doesn’t provide any free certificate. As given in the Basic Calculus 1 and 2 fees detail, the candidates will have to register for the certification examination form to be eligible for the certificate.

6: Where is the course instructor presently working?

The instructor for this course is Professor Parasar Mohanty. He is presently working at IIT Kanpur in the department of mathematics and statistics.

7: Can I view the course lectures on my mobile phone?

Yes, the candidates can view the course lectures of Swayam on mobile phones. The candidates can download the Swayam app for easy access.

8: Will this course offer any industrial guidance?

No, these Basic Calculus 1 and 2 certification benefits don’t include industrial guidance. But the course is verified by top institutions and run by MHRD which will help the candidates in their work and academics.

9: How much do I have to score in the final total score?

The candidates will have to score 40 out of 100 in the final total score. However, the candidate’s minimum passing grade in the assignment score and the final exam is more important to avail the certification.

10: What is the NPTEL verification link?

The certification provided by the candidates is provided in the e-format. It can be verified in this link-


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