This page is about my teaching ideas and the response of my students. Note that the comments are taken from the (anonymous) feedback I got. I have cherry picked the comments, so the reality of the courses may be different.
There are two important influences in my teaching. One is Halmos’ quote: Mathematics is learnt by doing mathematics. The other is one I picked up from my first non-academic job, at NIIT’s R&D centre. It is not so important that you teach well; what is important is that students learn well. The point is that the processes of teaching are perhaps more important than the skills of the lecturer.
In what follows, we let the pictures and (anonymous) comments of students in teacher evaluations speak for themselves.
Learning by doing mathematics
The course was challenging and intellectually stimulating since the first lecture itself. The way Professor Bhatnagar sets his problems sets and questions which student face as a challenge feels like the greatest strength to me. Frankly, I used to have a lot of trouble understand the lecture most of the times and I’d take little out of each lecture. But the contents covered in the class and when I would review the lecture notes, trying to understand in depth using books and other sources started making sense out of the problem sets as well.
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Professor Bhatnagar has a uniquely laid back approach to giving lectures, which instills great confidence in those receiving the lecture about how well they’ve grasped the concepts. They have not.
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Curating the problem sets and midterms that exposed me to a wide range of concepts in mathematics and forced me to apply different methods and techniques in order to solve these questions. This really encouraged independent learning, which I liked ….
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He is an incredible teacher. Very helpful both in class and outside. He’s passionate about the subject and makes it enjoyable to learn. I loved the assignments he gave as well.
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Great teacher that challenged us every week with assignments.
Collaborative learning
Wonderful questions presented by the professor. He emphasized learning on one’s own and in collaboration with one’s peers.
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Professor is a very good teacher. He emphasizes on learning by yourself that is by solving questions, and encourages independent thinking. He introduced the concept of mathematics being a team sport or a group activity which truly changed my understanding of the subject … Otherwise, his quick wit and charm also make him very endearing and approachable.
Mathematics is for everyone
The professor made the class feel like a safe space and emphasised creativity
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Professor Bhatnagar allowed room for creativity in what was a math course. Most of us considered that impossible, but he pushed us to ensure that all of our personalities shone through in the work we did in the course
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Professor Bhatnagar has a wonderful quality of making concepts in mathematics accessible to everyone. He makes the classroom environment conducive to discussion, critical thinking, and learning.
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Professor seemed very passionate about the subject which just made me look at math from a fresh, fear-free perspective which helped me understand the concepts he taught in a more relaxed and effective manner.
Mathematical experimentation and graphical thinking
We covered a lot of content in this course without realising how much we had actually learnt. There were some great algorithms and a great sense of algorithmic thinking. The course overall was extremely engaging and fun. The use of sagemath made the course very easy and helped us get used to a great math software.
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Prof. Gaurav Bhatnagar’s greatest strength in his teaching was his way of inducing mathematical thinking through real-world examples. Not only did it help us understand the concepts visually, but it also improved our critical thinking and creativity when it came to solving problem sets and midterms.
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His organization skills, his insistence on solving problems and base cases, and providing extremely fun assignments to complement the lectures.
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The lecture materials were well very constructed to work alongside the assigned textbook. The overall course structure and design were very efficient and promoted critical thinking and a deep understanding of mathematical ideas. All the coursework always prompted an exploratory understanding of the course material.
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I found all assignments useful, but I found the later assignments that included programming to be the most useful.
On the design of a learning environment
He is amazing with maths. It is so clear how much he cherishes it and wants to see the same in the students.
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Amazing orator. Really fun class with some amount of story telling and context and jokes and some serious rigorous learning.
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Teaching every new theorem by some interesting story.
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Professor himself, he’s a legend and an icon. The lectures are so well-structured and wholesome plus the fact that he uploads his lecture notes on the google classroom makes it 100% accessible to learn even when you’ve missed classes. His office hours are a thing of beauty too, he’s given such help and been so encouraging throughout the course that it’s been an honour being taught by him. The pure thought that drives his decisions of including which topics and when in the course content, should be studied by scientists, because it all just adds up in retrospect- overall the course content has been useful, educational and so widely-applicative that in general I am really glad I took this course on Complex Analysis. The actual strength of prof, is that he makes even the most dry topics, sensible and seemingly important. Plus he has such an encouraging and positive view of learning and teaching mathematics like its art, that it is VITAL that STEM students learn atleast some math with him. The student-teacher dynamic in this course has been chef’s kiss, because lemme tell you, I have not been shy of asking questions, a second in all his lectures- otherwise I’m a social mummy (I live in my cozy tomb, dead to the world, speaking to nobody), and that has helped me learn so much honestly. It’s just that he brings such a healthy optimistic attitude to math with NOOOO animosity and NOOOO bad-faith understandings, that makes learning from him a win-win. I have not regretted the sleepless nights or the tears of helplessness caused by trying to understand and answer problems in Complex Analysis, the ones by other courses, yes- yes I have regretted the tears I wasted there, but not here. It’s all just been helpful overall
Some links
- Designing a learning environment: A paper I wrote while working in the Center for Research in Cognitive Systems, NIIT’s R&D center.
- A linear algebra story
Professor’s commitment for his students and his passion towards maths is his greatest strength.























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