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Trishan Mondal

Semester works

Table of Contents
Resources - This article is part of a series.
Part 1: Resources
Part 2: This Article
Part 3: Some notes and papers

semester works

M.Math @ISI, Kolkata
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Semester 1
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Analysis of Several variables
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  • Pre Midsem notes: PDF
  • Post Midsem notes: PDF
  • Assignments: PDF

Topology
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B.Math @ISI, Bengaluru
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Semester 6 (B.Math)
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In this semester I have taken 5 courses(which is compulsory) and a Reading Seminar. Probable courses are as follows

Algebraic Geometry 1
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This course is taken by Prof. Ramesh Shrikantan.

Homeworks

  • We were asked to solve the assignments in group. Me, Aaratrick, Soumya were a group. Find all solutions and details regarding this course here.

Complex Analysis
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This course in taken by prof. Jaydeb Sarker.

  • The Notes of this course can be found here. These notes are latexed by a group of people including me.

Homeworks

Optimization
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Geometry
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Differential topology
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This course is taken br prof. Suresh Nayak.

  • Mainly we will follow the book of Guillemin and Pollack.

Reading Seminar
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This link will redirect to a page, where every detail regarding this seminar can be found.

Semester 5 (B.Math)
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Algebraic Topology
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This course was taken by prof. Charanya Ravi. The texts for this course as follows:

Assignments for this course are as follows:

Differential Geometry
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This course was taken by Prof. Maneesh Thakur. The text for this course as follows:

Assignments and additional homeworks as follows:

Functional Spaces
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This course was taken by prof. Soumyashant Nayak. The texts for this course as follows:

  • (Introductory convex geometry) Class notes Latexed by me and Soumya. The pdf and the texfile.
  • (Lebesgue integral and Fourier series) Analysis- Tom Apostle, Principal of mathematical analysis - Rudin.

Assignments

Galois Theory
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This course was taken by prof. Anita Naolekar. The text (and the text that I followed) are given as follows:

Assignemt

Furthers

  • This note was given by prof.B.Sury - pdf.
  • A beautiful problem set given by prof.B.sury- pdf

Design and Analysis of algorithms
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This course was taken by prof. Jaikumar Radhakrishnan. Every thing about course is beautifully given in the following website.

Assignements

  • The problems of the assignment can be found in the above webpage.
  • Assignment 1 - pdf
  • Assignment 2 - pdf
  • Assignment 3 - pdf
  • Assignment 4 - pdf
  • Assignment 5 - pdf
  • Assignment 6 - pdf

Semester 4 (B.Math)
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Here you can get access to the study materials and assignments (with solution) of all the courses provided to B.Math Second Year Students (Sem -IV) on the year 2023. In general, five courses are offered in each semester. The courses offered this semester are listed below. Question paper of corresponding subjects of Midsem and Semestral exams can be found in the official webpage of ISI.

Topology
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This course was instructed by Prof. Maneesh Thakur. During the course we mostly followed the followiing texts-

This course was mainly for point set topology but oure professor covered some interesting topics like Topological groups, Classification of surfaces. For these the text were as follows: - A Basic course in algebraic topology-W.S.Massey - Basic Topology-Armstrong

  • Assignments can be found here.

  • This Homework is very special. Here we got to know about p-adic topology and compact-open topology.

Rings and Modules
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This course was instructed by Prof. B.Sury. During this course we mostly followed:

We got very nice assignments during the course. Find all the assignments and their solution in this link.

  • During the course we got many references from the professor and they are written here. This note is incomplete. If anyone is interested to finish it up, please contact me. ( Tex file)

Electrodynamics
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  • This Course was instructed by Dr. Prabuddha Chakraborty. The text books, required refferences and assignments along with their solutions (some solution are provided rest solution are not provided because their submission were in offline mode) are provided in this link.

Diffrential Equation
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This course was instructed by Prof. CRE Raja and Vivek Agrahari. All the study material and assignments used in this course can be found here. (The submissions were offline so there is no softcopy of the solutions).

Introduction to Linear Models and Regression
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Semester 3 (B.Math)
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Total 5 courses were offered during this course and all the courses were compulsory.

Group Theory
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This course was taken by prof. Maneesh Thakur. One of my very favourite course dusing B.Math. The following books were main texts for this course:

  • An introduction to theory of groups-Rotman (For problems and the composition series parts)
  • Notes of k.conrad
  • Class notes for most of the course.
  • Additional topics: Lie groups and matrix expontiation, Fundamental groups.
  • Assignments
    • Assignment 1: Some basic definitions and theorems (Cayley’s theorem, Lagrange’s theorem, normal subgroups and homomorphism theorems) Worksheet and solution.
    • Assignment 2: Some basic definitions and theorems (Permutation groups, Sylow theorems, groups of small orders) Worksheet and solution.
    • Assignment 3: Semi direct product, Solvable, Nilpotent groups Worksheet and solution.
    • Assignment 4 and 5: Lie group, exponential map Worksheet and solution.

Analysis of several variables
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This course was taken by prof. Jaydeb Sarker. The following boks were the textbooks for this course:

  • Notes by professor- notes of this course which is not available to me at the moment.
  • Spivak and Munkres - Analysis of several variables
  • Calculus II - Apostole

Statistics -II (Introduction to Statistical Inference)
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This course was taken by prof.Rituparna Sen. The texts for this course as follows:

  • George Casella and Roger L Berger: Statistical Inference.
  • Erich L Lehmann and George Casella: Theory of Point Estimation.

Classical Mechanics
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This course was taken by prof.Sukanya Sinha. The textbooks are as follows:

  • Classical mechanics- Griffiths
  • Classical mechanics (for Rigid Body mechanics)- H.Goldstein

Discrete Mathematics
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This course was taken by prof. S.Inamdar. The following boks were the textbooks for this course:

  • A course in combinatorics (for graph theory and design theory)- Van, Lint, wilson
  • Introduction to graph theory (for graphtheory)- Doglus west

Semester 2 (B.Math)
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Total 5 courses were offered during this course and all the courses were compulsory. (I don’t have assignments and semestral exam’s answer script at the moment)

Real Analysis-II
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This course was taken by prof. Jaydeb Sarker. The following boks were the textbooks for this course:

  • Notes by professor- notes of this course which is not available to me at the moment.

Probability - II
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This course was taken by prof. Parthanil Roy. The following boks were the textbooks for this course:

Linear Algebra- II
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This course was taken by prof. R.Bhat. The following boks were the textbooks for this course:

  • Lecture notes by prof. Bhat- find here
  • Linear Algebra - Hoffman,Kunze
  • Linear Algebra - Rao, Bhimasankaran

Numarical Computing
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This course was taken by prof. Prabuddha Chakraborty.

Introduction to Statistics and Computation with Data
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The course was taken by prof. Siva Athreya. The entire course is given here.

Semester 1 (B.Math)
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Total 5 courses were offered during this course and all the courses were compulsory. (I don’t have assignments and semestral exam’s answer script at the moment)

Real Analysis-I
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This course was taken by prof. R.Bhat. The following boks were the textbooks for this course:

Probability - I
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This course was taken by prof. D.Yogeswaran. The following boks were the textbooks for this course:

Linear Algebra- I
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This course was taken by prof. Anirudhha Naolekar. The following boks were the textbooks for this course:

  • Linear Algebra - Hoffman,Kunze
  • Linear Algebra - Rao, Bhimasankaran

Numarical Computing
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This course was taken by prof. Prabuddha Chakraborty.

Comupter Science - I
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In this course we learnet to use C, C++ programming language and basics of CS including Data structres, Stacks etc. This course was taken by prof. Utpal Chattopadhaya.

Number Theory
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This course was taken by prof B.sury.

  • Main text for this course was Number Theory- Nievan, Zukerman
  • Beautiful notes by Proferssor. (Link not present at the moment)
  • We had very nice assignments (Don’t have access to the solutions/questions now)
Resources - This article is part of a series.
Part 1: Resources
Part 2: This Article
Part 3: Some notes and papers