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
This Basic Calculus – 1 online course is offered by the Swayam online learning platform. It is coordinated by NPTEL. This course aims to guide basic calculus to all types of candidates irrespective of their social standing. The duration of this course is 12 weeks. The course will follow the referenced book chapters 1 to 5. The candidates will revise certain notions they learned in school and also will get introduced to new notions.
This course is primarily intended for those candidates who are at the undergraduate level pursuing Bsc. The calculus taught in this course will be an updated version of the calculus taught in schools. This course is accredited by NPTEL. The lectures of this course will be around 40-45 minutes. The instructor will solve about 100 problem exercises and show usage of graphs.
The Basic Calculus – 1 certification will have the logos of NPTEL and the Indian Institute of Technology Madras. The certification will benefit the candidates academically and professionally. The certification will be provided in the e-format. This makes it easily shareable on all platforms such as LinkedIn.
The Highlights
- E-certification available
- Online learning platform
- Duration 12 weeks
- Undergraduate level
- Verified by Indian Institute of Technology, Madras
- Offered in the Swayam platform
- Books and references available
- Online platform initiated by the government of India
- Accredited by NPTEL
Programme Offerings
- Assignment
- proctored exam
- lecture series
- video lectures
- Online discussion forum
- assessments
- tests
- quizzes.
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Madras (IITM) |
The certificate exam fees for the course is -
Fee category | Amount in rupees |
Course fee | Free |
Examination fee | Rs. 1,000 |
Eligibility Criteria
Education
The candidates must have studied mathematics in school in order to apply for this program.
Certification qualifying details
The Basic Calculus – 1 training certification can be availed after clearing the final exam and scoring the minimum pass score. The final score will be 25% from the assignment and 75% from the proctored exam. The average assignment score must be 10/25 and the exam score must be 30/75 and the final score 40/100. The candidates can avail of the certificate only after earning these scores.
What you will learn
The Basic Calculus – 1 by Swayam is an easily accessible course to all groups of people. People who have done calculus in school and wish to continue can join to gain these learning outcomes-
- The basics of calculus which will depend on the limiting process will be taught throughout the course.
- Different, similar, and new notions will be covered in the course.
- The first section of the course covers the notions of continuity.
- The candidates will learn curves in the plane applied in the graphs.
- The differentiation topics will be covered in the 12 lecture series.
- The Basic Calculus – 1 online course instructor will solve most of the theorems present in the course.
- The candidates will learn to solve certain problems by themselves as advised by the instructor.
- The candidates will proceed to integration in the latter part of the course.
- Volumes and surfaces of revolution are also a part of the Basic Calculus – 1 certification syllabus.
Who it is for
The Basic Calculus – 1 certification benefits are primarily for these types of candidates-
- The candidates who are enrolled in the BSc program will be benefitted.
- The candidates who require basic calculus in their profession can apply to revise their knowledge.
- Candidates willing to learn about calculus must apply.
Admission Details
The candidates who will enrol in this Basic Calculus – 1 program must follow these admission steps given below-
Step 1 – First and foremost thing to be done is to visit the online portal for program information - https://onlinecourses.nptel.ac.in/noc22_ma13/preview
Step 2 – Then view the course video present on the left side of the course page and also the “About Swayam” option present in the topmost part of the page.
Step 3 – After going through the course page, you can register by clicking on the “Sign-in/Register” tab.
Step 4 – Candidates need to use their account information to sign in to the Swayam platform.
Step 5 – Post-registration or Signing in, go to the “join” tab present below the course video.
Step 6 – There will be a personal detail form wherein the candidates will have to fill in their authentic details.
Step 7 – Thereafter, they will be enrolled to access the program.
The Syllabus
- Real numbers
- Functions and their graphs.
- Limits of functions
- Left and Right hand limits
- Continuity
- Intermediate value property
- Differentiation
- Chain rule
- Implicit differentiation
- Extreme values
- Rolle’s theorem
- Mean value theorems
- Local extrema
- Limits at infinity
- Infinite limits
- Asymptotes
- Differentials
- Definite integrals
- Area
- Mean value theorem
- The fundamental theorem
- Indefinite integral
- Integration by substitution
- Area between curves
- Volume by slicing
- Volume of revolution
- Cylindrical shells.
- Lengths of plane curves
- Area of surface of revolution