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Quick Facts

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

Course Overview

Pursuing Calculus of Several Real Variables programmes will help students who want to learn advanced Physics, Mathematics, Economics, Engineering, Business Management, Operations Research, and even Biology. The curriculum is divided into an 8-week plan. Jaydeep Dutta, a professor with the Department of Humanities and Social Sciences at Indian Institute of Technology (IIT) Kanpur, will be your programme instructor.

When it comes to multivariable calculus, the first issue is that of limits. And when you have a function in two variables, you are working with a plane instead of a line. There are infinite approaches to reach a given point on a plane, and the limits that you take must give you the same value through all of these countless approaches. That is what the Calculus of Several Real Variables course covers extensively.

The Calculus of Several Real Variables training also covers the basics of vectors, continuity, partial derivatives, multiple integrals, the Stokes theorem, Gauss divergence theorem, Green’s theorem, and Taylor’s theorem. The undergraduate-level course is entirely online. Students will receive accreditation from IIT Kanpur and National Programme on Technology Enhanced Learning (NPTEL) if they fulfil the certification eligibility criteria.

The Highlights

  • Certification with logos from IIT Kanpur and NPTEL
  • Undergraduate level
  • Eight-week training
  • An expert instructor from IIT Kanpur
  • Optional exam
  • Learn for free
  • Core course in Mathematics

Programme Offerings

  • Optional exam
  • Free learning
  • e certificate
  • Certification by IIT Kanpur and NPTEL

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Kanpur

Eligibility Criteria

To be able to benefit from the Calculus of Several Real Variables programme, candidates should have a working knowledge of the calculus of one real variable.

Certificate Qualifying Details

Furthermore, to obtain the certification, the exam score should be at least 30/75, and the average assignment score should be at least 10/25. Besides, the total score should be at least 40/100. The candidate must satisfy all three conditions to be eligible for the certification. 

What you will learn

Mathematical skill

After completing the Calculus of Several Real Variables training programme, candidates should have a working knowledge of:

  • Vectors
  • Matrices
  • Line Integrals
  • Surface Integrals
  • Multiple Integrals
  • Stokes Theorem
  • Green’s Theorem
  • Taylor’s Theorem
  • Partial Derivatives
  • Maxima and Minima
  • Multivariable Functions
  • Lagrange Multiplier Rule
  • Gauss Divergence Theorem

Who it is for

Anyone interested in learning about multivariable calculus can take the Calculus of Several Real Variables online course.


Admission Details

Enrol in the Calculus of Several Real Variables online course through a simple process:

Step 1: Go to the ‘Calculus of Several Real Variables’ course page on the SWAYAM website by clicking on the link given below.

https://onlinecourses.nptel.ac.in/

Step 2: Click on the “Sign-In/Register”.

Step 3: Open a new Swayam account or log in. Students can use their Google/Facebook/Microsoft account to log in too.

Step 4: Follow the instructions on the screen and complete the application process.

The Syllabus

Evaluation process

Interested candidates can join the Calculus of Several Real Variables online course and learn for free. But if they wish to get certified by NPTEL and IIT Kanpur, they need to pay the exam fee (Rs. 1,000), visit one of the designated exam centres, and write the 100-mark proctored exam. Students must get at least 10/25 in assignments, 30/75 in exam evaluation, and a total of 40/100 to qualify. 

Instructors

IIT Kanpur Frequently Asked Questions (FAQ's)

1: Why should I learn Calculus of Several Real Variables?

If you wish to learn advanced Physics, Mathematics, Economics, Engineering, Business Management, Operations Research, or Biology, Calculus of Several Real Variables is an indispensable tool.

2: How long is the course of Calculus of Several Real Variables course?

The Calculus of Several Real Variables course will teach you all about multivariable calculus only in eight weeks.

3: How many assignments are there in the Calculus of Several Real Variables online course?

There are eight assignments in the eight-week Calculus of Several Real Variables online course.

4: How does Swayam calculate my total score?

Your total score is the sum of your average assignment score and the exam score. The exam score is 75 percent of the marks you obtain in the 100-mark proctored exam. Whereas, the average assignment score is 25 percent of the average score from the six best assignments (out of eight).

5: What will the Swayam certificate for Calculus of Several Real Variables mention?

If you qualify for certification, the e-certificate will have your photo and name on it. Your final score will also be broken down and listed on the certificate. The logos of IIT Kanpur and NPTEL will also be there on the certificate.

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