Gaurav Hegde

For School Students:
I can teach Mathematics from Class 9-12 (CBSE) right from number systems to geometry. Depending on the reception, I can go down further into focusing how these evolved.
I can introduce relatively "more deeper" ideas - for example Lobachevsky's geometry or Euler's polyhedral formula (without the jargon :) ) -and connect Mathematics with Physics. I will try to focus on the development of a student's mathematical thinking and temperament so it aids any science she/he may pursue in future.
We could evaluate our teacher-student duo on different exam papers.

For aspiring Engineers:
We can discuss ideas of Engineering Mathematics from limits, differentiation and integration, to probability theory to Linear Algebra and matrices. We could explore connections for instance, how some machine learning and pattern recognition ideas use these.

For aspiring Purists:
We can discuss across analysis, algebra and topology given in syllabus of standard exams like IIT JAM, GATE Mathematics and CSIR NET Mathematics. We can go deeper trying to understand the how of proofs. I can share my interpretations and my conclusions.

Some Personal Information:
I just finished my MSc in July 2020 and wish to pursue a PhD in the near future. I have a GATE rank of 54 and a CSIR NET rank of 56. I want to find my "deeper" area before I enroll in a PhD program. I like reading comics, literary fiction, history and philosophy. I will price my hours accordingly to buy the books I want to.