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 Real Analysis certification course has been designed with the aim to cover several basic concepts such as real line, differentiation as well as integration. The course prepares candidates for future courses. The theorems have been well explained so that the basics are clear for the aspirants. Theories and logics have been covered in every module of the basic real analysis course.
The course will also be enhancing the skills of the individuals registering for the course. Discussion forums boosts up the confidence level, by offering rigorous learning during the learning phase of course. Assignments, reading sessions, video lectures and quizzes have been designed which ensures that the participants are having smooth learning.
Aspirants registering for the Basic Real Analysis online course will be able to solve the problems easily after the learning they acquire. Different terminologies such as limit superior and limit inferior have been included in the course.
The Highlights
- Undergraduate level
- 12 weeks course duration
- 100% Free course
- Certified program by IIT Bombay
- Certification of completion by Swayam
Important dates
Course Commencement Date
Start Date : 20 Jan, 2025
End Date : 11 Apr, 2025
Enrollment Date
End Date : 27 Jan, 2025
Other
Start Date : 14 Feb, 2025
Certificate Exam Date
Start Date : 03 May, 2025
Programme Offerings
- Reading Materials
- video lectures
- Online discussion forums
- Self-assessments
- quizzes.
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Bombay |
- For free the participants can register in the Basic Real Analysis certification syllabus.
- The candidates taking the exam for the certification, must pay Rs. 1000 as exam fees.
Basic Real Analysis fees detail
Fees Category | Amount in Rs. |
Certification fees | Free |
Eligibility Criteria
Education
The candidates registering for the Basic Real Analysis certification course must have basic calculus exposure for better understanding.
Certification Qualifying Details
The candidates must take the end term exam for receiving certification. The score will be calculated as the average of the best 8 assignments out of the total 12 must be 25%. The score of the exam must be 75% out of the total marks i.e. 100.
The candidates become eligible for the Basic Real Analysis certification benefits only if they have their average assignment score>=10/25 and the score of the exam is >=30/75. If the candidates fail to meet any of the criteria they will not be given the certificate for the course even if their final score is >=100
What you will learn
The candidates will acquire learning in the following areas after registering for the Basic Real Analysis training.
- The candidates will learn about the basics of set theory in a simplified way.
- During the Basic Real Analysis certification, the aspirants will learn about the differential equations to a rigorous analysis.
- The aspirants will learn about the foundation of real analysis in a theoretical manner.
- The participants will acquire learning on number theory and mathematical logic.
- The course also covers the crucial way of developing thinking skills within oneself.
- The candidates will gain insights on the new ways for computing things.
- Participants enrolling on the course will be taught about the different levels of analysis.
- The participants will be exposed to the mean value theorem and its application during the Basic Real Analysis program.
- Continuity and uniform continuity have been covered well in the syllabus easing out the learning for the candidates.
- The aspirants will also learn about the functions of various variables such as directional derivative, partial derivative and total derivative.
Who it is for
The following candidates listed below can take Basic Real Analysis training.
- The participants who want to explore the real analysis and learn more about the theorems.
- Candidates who have proper exposure to calculus and are seeking certification in this domain.
Admission Details
For registering successfully in the Basic Real Analysis certification, the candidates must practice the points mentioned below.
Step 1: The candidates must select the entire link and open it in the browser. https://onlinecourses.nptel.ac.in/noc25_ma15/preview
Step 2: Towards the right of the screen, the candidates will find the option of “JOIN”.
Step 3: The candidates must sign in or register themselves in the next step.
Step 4:For all the new users to the Swayam platform, make your account via google account, Microsoft account or Facebook.
Step 5: After this, the users will have a page where they need to fill all the required details.
Step 6: Once the above steps are followed, the candidates have successfully taken the Basic Real Analysis online course and can start their learning.
The Syllabus
- Review of sequences and series of real numbers
- Tests for convergence of Series
- Limit superior and limit inferior
- Cauchy sequences and completeness of R.
- Basic notions of Metric Spaces with emphasis on Rn
- Connectedness
- Compactness
- Heine Borel Theorem
- Continuity
- Uniform continuity
- Monotone functions
- Functions of bounded variation
- Derivatives
- Mean Value Theorem and applications
- Riemann Stieltjes integral
- Riemann`s Criterion for integrability
- Improper integrals
- The Gamma function
- Sequences and series of functions
- Uniform convergence
- Functions of several variables
- Directional derivative
- Partial derivative
- Total derivative
- Mean Value Theorem
- Taylor`s Theorem and applications to Maxima/Minima and convexity.
- Double and triple integrals
- Statement of Fubini's Theorem
- Change of variable formula (without proofs) with illustrations
Instructors
IIT Bombay Frequently Asked Questions (FAQ's)
The last date to apply for the course has been mentioned in the course details on the website.
The course is free of cost. Candidates registering for the end term exam need to pay the examination Basic Real Analysis fees.
The candidates can download it from the browser. The learning material for Basic Real Analysis certification syllabus does not have the pdf of the books.
The exam will be conducted by Swayam as the certification is given by them.
There are no qualifications required to register for the course.
There are no financial aids involved in the course.
The candidates can take the course anytime, depending upon their availability.
The candidates must score well in order to receive certification. More details regarding the same has been added on the website.
The course will continue for 12 weeks where the candidates will have extensive learning.