Social Responsibility
In month of June, I spread headed a fund raiser raising an amount worth '1535" USD (~130000 INR) for Ms. Sparsh Bhojak - a teenage girl of same age as mine towards her treatment of Acute liver failure. Here is the LinkedIn post at my profile where I have uploaded details about this fundraiser.
Teaching - Abstract Algebra & Fundamentals of Mathematics.
While giving a gift of Two Books to each of 8 students of Tribal School in Maharashtra, I & parth purchased these books from our pocket money which we had saved in last 1 year.
With the teachers of the same Tribal School where I am teaching them Euclidean Geometry
Discussing a problem of the triangle with these tribal students, June/2/2024.
I am currently doing teachings of -
Abstract algebra leading to "impossibility theorem of Abel" and formulating topological version of the same from the celebrated work of legendary mathematician and ICM speaker - Prof. Askold Khovanskii, a protege of our mathematical hero V I Arnold - the inspiration for us all in the AMMOC family.
Fundamentals of Euclidean Geometry to underprivileged students in Maharashtra. This teaching is inspired by a letter written by legendary mathematician and mathematical physicist Barry Simon of the Caltech - "a plea in the defense of Euclidean Geometry"
PS - I will upload my notes for most of my teaching gradually towards the end of October. I am currently typesetting them in LaTeX.
Group Theory lectures at HNBG University - A public Univ in India
--Topic - ABSTRACT ALGEBRA
--Textbook - Gallian, Hungerford, and Dummit & Foote,
--Problem sources - These textbook, Aluffi's Algebra, Andreescu's PUTNAM & BEYOND.
--Frequency & duration of class - 3 class a week, one hour each
-- Hand written class notes for all classes that have happened so far.
Audience - UG students of HNBG university and this truly remarkable opportunities I got when I expressed my desire to teach this course and then my mentor Yaashaa Golovanov connected me to Dr. Abhishek Juyal - A number theorist and an Assistant Professor of Mathematics at the same HNBG university.
Assignment 1 on Equivalence Relation & Partition (For the class on April 28, 2024 and was discussed on May 5, 2024).
Assignment 2 on Examples of Groups (For the class on May 12, 2024 and to be discussed on May 19)
Assignment 3 on Groups & Subgroups
Elementary Properties of Groups (For the class on June 19,2024 )
Discussion of the problem [27,28,29,30] in the chapter 2 of gallian. (For the class on June 21,2024 )
Discussion on Definition of subgroup and subgroup tests . (For the class on June 23,2024 )
Further discussion on subgroups. (For the class on June 25,2024 )
Discussion of the problems [17,18,23] in the chapter 3 of gallian. (For the class on June 27,2024 )
Discussion of the problems [31,33,34] in the chapter 3 of gallian. (For the class on June 29,2024 )
Discussion of the problems [27,28,34,35] of Dummit &Foote and Hungerford (For the class on July 4,2024 )
Cyclic groups and basic properties (For the class on July 16,2024 )
Generators of a finite cyclic group. (For the class on July 18,2024 )
101 problems on group theory [File]
Assignment for Euclidean Geometry lectures at Tribal Public school
--Topic -Euclidean Geometry & Theory of Equations.
--Textbooks - Angle Chasing By Titu Andreescu, XYZ press & Lecture notes in Mathematical Olympiad Courses, Junior Volume 1, World Scientific Publication.
--Frequency & duration of class - 3 class a week, one hour each
--Hand written class notes for all classes that have happened so far.
Assignment 1 on Angle Chasing for week 1 & 2, May - 2024.
Assignment 2 on Congruent Triangles For week 3 & 4, May - 2024.
Assignment for Algebra lectures at Tribal Public school
--Textbooks - Lecture notes in Mathematical Olympiad Courses, Junior Volume 1, World Scientific Publication.
Copyright @Sarthak & AMMOC.
