Get updates on Eligibility, Admission, Placements Fees Structure
Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video 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 Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT 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. 1,000. It is optional.
The fees for the course Basic Calculus 1 and 2 is -
Fee category | Amount |
Program fee | Free |
Certification examination fee | Rs. 1000 |
Eligibility Criteria
Education
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
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 - https://onlinecourses.nptel.ac.in/noc21_ma20/preview
Step 2: After checking all the details, candidates can make themselves registered with the Swayam platform.
Step 3: Next step is concerned with login into the candidate’s portal for enrolling in the course.
Step 4: The candidate can join the course after login into the account by just clicking ‘join’.
Step 5: The candidate got registered for the Basic Calculus 1 and 2 program.
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
- Integrations
- Applications of Integration
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.