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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 ‘Our Mathematical Senses Part 1: Geometry of Vision’ online course is offered for the students to gain perspectives of the geometrical space around us and also know about the various mathematical concepts and theories associated with geometric and topological space. This online certification course is provided by the Swayam education portal, an initiative of the government of India, and the National Programme on Technology Enhanced Learning (NPTEL).
The duration of this program is scheduled for four weeks and this is an elective course for the students of undergraduate level. This mathematics course is led by the course instructor Prof. Vijay Ravikumar(mathematician and artist) at the Chennai Mathematical Institute. The students of this program are enabled to acquire both theoretical and practical knowledge of the concepts through the virtual and experiential learning mode.
The ‘Our Mathematical Senses Part 1: Geometry of Vision’ training course equips students with the course certificate and academic course credits after successful completion of the course.
The Highlights
- Online mode
- Four weeks training
- Mathematics course
- Elective program
- Expert faculty
- Course credits
- E-Certificate
Programme Offerings
- Course Modules
- Practical Sessions
- video lectures
- assignments
- Final Exam
- course certificate
- Course credits
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | CMI Chennai |
The ‘Our Mathematical Senses Part 1: Geometry of Vision’ certification fee is about the exam registration fee that is required to be paid for registering for the final exam.
Our Mathematical Senses Part 1: Geometry of Vision fee structure
| Fee Type | Fee Amount |
Course Fee | Nil |
Exam Registration Fee | Rs 1000 |
Eligibility Criteria
The applicants of the ‘Our Mathematical Senses Part 1: Geometry of Vision’ online program are required to have prior knowledge of the concepts of linear algebra to understand the course in an effective manner.
Certificate qualifying details
The students of the ‘Our Mathematical Senses Part 1: Geometry of Vision’ certification by Swayam will become eligible for the course certificate based on their score in the internal assignments and the final exam.
Internal Assignment - 25%(10/25) in best 3 out of 4 assignments.
Final Exam - 75% (30/75)
Total Score - 40/100
What you will learn
The ‘Our Mathematical Senses Part 1: Geometry of Vision’ certification syllabus is developed for the students to gain knowledge about the different properties and concepts involved in a geometric space. The students will get familiar with the aspects of projective geometry, algebra of homogeneous coordinates. This course enables candidates to develop a comprehensive understanding of topological space that is the real projective plane and the matrix group that determines the transformations. Through the end of the course, students will learn about the primary invariant of projective geometry called the cross-ratio.
Who it is for
The ‘Our Mathematical Senses Part 1: Geometry of Vision’ online certification program is designed and targeted at the students who wish to learn about the mathematical perspective of the space around and for the professionals such as computer scientists, engineers, artists, and designers to improve their knowledge on the geometric concepts.
Admission Details
The candidates who wish to join the ‘Our Mathematical Senses Part 1: Geometry of Vision’ certification course are required to register online through the course website.
Step 1: Go to the course page using the link, https://onlinecourses.nptel.ac.in/noc21_ma77/preview
Step 2: Click on the ‘Register/Sign-In’ link.
Step 3: Fill in the details and complete the registration.
Application Details
The students registering for the ‘Our Mathematical Senses Part 1: Geometry of Vision’ online certificate course should enter their details on the registration form that appears after clicking on the registration link. They can choose to register with the course account details or can sign in using their Google, Facebook, or Microsoft account IDs.
The Syllabus
- Lecture 1: Why do families of parallel lines appear to converge in our vision?
- Lecture 2: Can we determine the position of the observer in a perspective drawing?
- Lecture 3: A geometry without parallel lines?
- Lecture 4: Does projective geometry tell us anything about nonlinear curves?
- Lecture 5: What is preserved under perspective transformations?
- Lecture 6: What can the cross-ratio tell us?
- Lecture 7: Homogeneous coordinates and the topology of the real projective plane
- Lecture 8: Automorphisms of the real projective plane
Evaluation process
The students of the ‘Our Mathematical Senses Part 1: Geometry of Vision’ course should write the final certification exam that is conducted at the end of the course and pass the exam with 75% to qualify for the certification.
Instructors
CMI Chennai Frequently Asked Questions (FAQ's)
The course is provided by the Swayam online education portal with NPTEL.
The online certification course is conducted for four weeks.
The students are required to have an understanding of linear algebra.
Yes, this is a free online learning course by Swayam and NPTEL.
You will receive one course credit for this course.