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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The Calculus of One Real Variable programme is an undergraduate level training. Swayam offers 40 lectures divided into a course plan of eight weeks. The curriculum aims to familiarise students with the elementary and advanced aspects of the calculus of a single variable. Candidates will find several applications of this knowledge in engineering, economics, and science domain.
The Calculus of One Real Variable online programme provides all-encompassing learning content about functions like continuous functions, inverse functions, transcendental functions, and limits and derivatives of a function. Students will also master the intermediate value theorem, Rolle’s Theorem, Lagrange’s mean value theorem, and maximum value theorem. Swayam also allows students to avail of the course free of cost.
Furthermore, Joydeep Dutta, who is presently a professor of Economics at IIT Kanpur’s Department of Humanities and Social Sciences, will teach you the course. Students from engineering, mathematics, economics, and science streams will benefit from the Calculus of One Real Variable certification training.
The Highlights
- Online programme
- Course certificate
- Video lectures
- Assignments
- Free learning
- NPTEL and IIT Kanpur certificate
- Undergraduate-level training
Programme Offerings
- e certificate
- Swayam app
- assignments
- Virtual lectures
- Free training
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Kanpur |
Eligibility Criteria
Students must have a firm knowledge of Mathematics from the 12th standard to enrol in the Calculus of One Real Variable online training.
Certificate Qualifying Details
Moreover, in the certificate evaluation students must secure a score of at least 39/100. The final score consists of 30% of assignments and 70% of the proctored test. Besides, applicants need their average assignment score to be more than nine, and the test marks to be greater than 29. If both conditions are fulfilled, the learner will then receive the certification.
What you will learn
Once you complete all the lectures of the Calculus of One Real Variable online course, you will have a firm grip on the following:
- Functions: Limits of Functions, continuous functions, derivatives of functions, transcendental functions, inverse functions, Monotonic Functions
- Rolle’s Theorem
- Intermediate Value Theorem
- Lagrange’s Mean-Value Theorem (MVT)
- Supermum and Infimum
- Taylor’s Expansion
- Definite and Indefinite integrals
- Simpson’s Rule
- Maximum Value Theorem
Who it is for
The Calculus of One Real Variable programme is targeted at first-year students from the science and engineering domain. Students who are pursuing economics with mathematics as their main course will also benefit from this.
Admission Details
Applicants can enrol in the Calculus of One Real Variable training programme using the instructions below:
Step 1: Click on the link to go to the Calculus of One Real Variable course page at https://onlinecourses.nptel.ac.in/
Step 2: Here, you can go through the programme details, important dates, and other relevant instructions.
Step 3: After that, click on sign-in or register and proceed.
Step 4: Fill in the personal contact and name details to complete the enrollment.
Application Details
There is no requirement of submitting an application form to join the Calculus of One Real Variable training course. Applicants can create a Swayam account or sign-in to a pre-existing one to access the programme.
The Syllabus
- Lecture 1: Introduction to Numbers
- Lecture 2: Countability and Uncountability
- Lecture 3: Examples of Irrational numbers
- Lecture 4: Functions
- Lecture 5: Limits of Functions-I
- Lecture 6: Limit of Functions-II
- Lecture 7: Continuous Functions
- Lecture 8: Intermediate Value Theorem
- Lecture 9: Maximum Value Theorem
- Lecture 10: Supremum & Infimum
- Lecture 11: Derivative of a Function
- Lecture 12: Rules of Differentiation
- Lecture 13: Derivatives maxima & minima
- Lecture 14: Rolle’s Theorem and Lagrange MVT(Mean-Value Theorem)
- Lecture 15: Monotonic Functions and Inverse Function
- Lecture 16: Newton’s Method for solving Equations
- Lecture 17: Optimization Problems
- Lecture 18: Integration-I : In the style of Newton and Leibnitz
- Lecture 19: Integration-II : In the spirit of Newton and Leibnitz
- Lecture 20: Integration-III : Newton and Leibnitz Style
- Lecture 21: Indefinite Integrals
- Lecture 22: Integration by Parts
- Lecture 23: Integration of Rational Functions
- Lecture 24: Trapezoidal Rule for evaluating definite integral
- Lecture 25: Simpson’s Rule for evaluating definite integral
- Lecture 26: Applications of Definite Integral-I
- Lecture 27: Applications of Definite Integral-II
- Lecture 28: Applications of Definite Integral-III
- Lecture 29: Applications of Definite Integral-IV
- Lecture 30: Transcendental Functions-I
- Lecture 31: Transcendental Functions-II
- Lecture 32: Taylor’s Expansion-I
- Lecture 33: Taylor’s Expansion-II
- Lecture 34: Infinite Sequence-I
- Lecture 35: Infinite Sequence-II
- Lecture 36: Infinite series and their convergence
- Lecture 37: Tests for Convergence of a series
- Lecture 38: Absolute and conditional convergence
- Lecture 39: Power Series
- Lecture 40: Historical Development of the Calculus
Evaluation process
Swayam organises a proctored exam for the Calculus of One Real Variable course. Students must appear for the assessment in person at any of the designated centres. They can opt for the online/offline mode to write the exam. Since the test is not compulsory, only those who want the NPTEL + IIT Kanpur accreditation need to pay Rs 1000.
Instructors
IIT Kanpur Frequently Asked Questions (FAQ's)
Yes. You can download the Swayam application from the Google play store with this link https://play.google.com/store/apps/details?id=in.gov.swayam.app. After enrollment, you can access the course.
If you cancel the exam registration before the mentioned deadlines, you will receive the refunded amount in 2-3 weeks. For more details, you can refer to this link https://nptel.ac.in/noc/noc_faq.html.
The duration of the Calculus of One Real Variable course is eight weeks.
Joydeep Dutta, an Economics professor at the Department of Humanities and Social Sciences in IIT Kanpur, will be your instructor.
Yes. You can verify the Calculus of One Real Variable course certificate using the following link https://nptel.ac.in/noc/.