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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 online certification program on Basic Linear Algebra by Swayam is formulated as a basic session for interested students who wish to pursue higher academic knowledge in the field of engineering studies. The candidates who want to pursue a higher education qualification in the field of mathematics can also register for the Basic Linear Algebra training.
The students in the Basic Linear Algebra certification syllabus will cover all the primary and basic tools that are used in the domain of “basic linear algebra”. The online session for a period of twelve weeks will be covering the topics namely- gram-Schmidt process, inner product spaces, rank-nullity, linear transformations, determinants, invertibility, rank, diagonalization, similarity, and applications. After completing the course, the Basic Linear Algebra certification benefits the students by clearing their doubts in the - Rn, rank of a matrix, linear independence, and subspaces. Students after completing the course the students will get to practice real-world cases.
The Highlights
- The duration of the program is 8 weeks
- The certificate course is conducted by Swayam
- Certificate of completion provided by IIT Bombay and NPTEL
- Government recognized certificate
- 100% free and online learning program
Programme Offerings
- references
- Books
- audio lectures
- video lectures
- Online discussion forum
- online learning
- tests
- Self assessment tests
- Quiz.
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Bombay |
- Rs. 1,000/- has to be paid by all the candidates who want to apply for the final examination.
- The Basic Linear Algebra fee for the registration is free.
Basic Linear Algebra fees details -
Particulars | Amount |
Registration fee | Free |
Examination fee | Rs. 1,000/- |
Eligibility Criteria
Education
To apply for the Basic Linear Algebra online course the applicants are required to have studied basic mathematics at the level of school and undergraduate.
Certification Qualification Details
A certificate in the Basic Linear Algebra programme will be issued only to those candidates who have registered for the final examination. They have to appear in the final exam and secure 75% minimum marks in it. In assignments as well, they need to score 25% average in 8 out of 12 assignments. After clearing, they will get the Basic Linear Algebra certification.
What you will learn
In the Basic Linear Algebra program the applied candidates will get an understanding of different aspects listed below:
- The students will be studying the basic features of gauss elimination methods,
- Candidates will be taught the process of diagonalization.
- The basic working principles of matrices will be covered in detail.
- The Basic Linear Algebra certification syllabus will be dealing with subspaces.
- In the online course, the linear independence chapter will be discussed.
- Students will further be learning about the invertibility theorem and its applications.
- The mechanisms of linear independence will be taught to the applicants.
- They will be learning about the inner product spaces.
- The participants in the course will be working on eigenvectors.
- Operations based on the matrix will be discussed and covered.
Who it is for
The Basic Linear Algebra training is for the following students-
- Applicants who are pursuing their economics degree in BA course can apply for the program.
- The students who are enrolled in the M.Sc course from the stream of mathematics can also register.
Application Details
To avail of the application form and confirm the seat in the Basic Linear Algebra online course the students have to follow the given steps-
Step 1: Please visit the link to access the form- https://onlinecourses.nptel.ac.in/noc25_ma14/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 Linear Algebra program.
Note- The application process has not yet started because the course is currently undergoing. Therefore for details, the applicants can contact the helpdesk.
The Syllabus
- Matrices and Matrix operations
- REF
- Linear systems
- Gauss Elimination and Inverse of a matrix
- Rn; subspaces, linear independence, rank of a matrix
- Determinants
- Rank
- Invertibility
- Linear transformations
- Rank-nullity
- Inner product spaces
- Gram-Schmidt process
- Eigenvalues and Eigenvectors
- Similarity
- Diagonalization and applications
Instructors
IIT Bombay Frequently Asked Questions (FAQ's)
Yes, the session for the given course is going to be held completely on the online platform.
No, the Basic Linear Algebra online course can be accessed for free. The students do not have to pay any extra amount to avail of the course.
The Basic Linear Algebra fee details have been provided on the main website of Swayam.
Yes, after filling in the course details the application form can be downloaded by the students.
Yes, under Swayam the students can also apply for more than courses.
The classes for the course are going to be hosted by the faculty of the Indian Institute of Technology, Bombay.
To apply for the online course the students will need to have a basic understanding of mathematics.
The students can apply for any core industry after passing the course.