Dr. Bivash Majumder | Academic Profile | BMLabs Mathematics

Academic Roadmap

Hierarchical Research Navigation

A structured visualization of the mathematical derivations and pedagogical units authored by Dr. Bivash Majumder.

Topic

Partial Differential Equations

Chapter 01

Introduction

Section

Section

Mathematical Problems in Partial Differential Equations

Module 01

Mathematical Problems

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Topic

Abstract Algebra

Chapter 01

Introduction to Groups

Section

Definition and Examples of Groups

Module 01

Group: Definition, Axioms, and Detailed Examples

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Curated Tracks

Coordinates and Locus

Comprehensive module covering 6 sections in Coordinate Geometry.

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Invariants under Orthogonal Transformation

Comprehensive module covering 2 sections in Coordinate Geometry.

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Module 02

Initial Conditions and Boundary Conditions

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Module 03

Initial Boundary-Value Problem

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Module 04

Initial-Value Problem or Cauchy Problem

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Module 05

Well-Posed Problems

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Initial Boundary-Value Problem

11 May 2026UG

Introduction

Basic Concepts and Definitions

Definition of a Partial Differential Equation

Linear, Quasi-linear, and Nonlinear Partial Differential Equations

General Second-Order Linear Partial Differential Equation

General Solution of a Partial Differential Equation and Arbitrary Functions

Mathematical Problems in Partial Differential Equations

Mathematical Problems

Introduction to Groups

Definition and Examples of Groups

Group: Definition, Axioms, and Detailed Examples

Coordinates and Locus

Invariants under Orthogonal Transformation

Initial Conditions and Boundary Conditions

Initial Boundary-Value Problem

Initial-Value Problem or Cauchy Problem

Well-Posed Problems