Pedagogical Mapping

Undergraduate (UG)

A structured visualization of mathematical curriculum units categorized by subject domain for the Undergraduate (UG) level.

Total Units

Subject Domains

Topic

Partial Differential Equations

Chapter 01

Introduction

Topic

Abstract Algebra

Chapter 01

Introduction to Groups

Definition and Examples of Groups

Unit 01

Academic Node

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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Partial Differential Equations

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

Initial Conditions and Boundary Conditions

Initial Boundary-Value Problem

Initial-Value Problem or Cauchy Problem

Well-Posed Problems

Abstract Algebra

Introduction to Groups

Definition and Examples of Groups

Group: Definition, Axioms, and Detailed Examples

Coordinates and Locus

Invariants under Orthogonal Transformation

Partial Differential Equations

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

Initial Conditions and Boundary Conditions

Initial Boundary-Value Problem

Initial-Value Problem or Cauchy Problem

Well-Posed Problems

Abstract Algebra

Introduction to Groups

Definition and Examples of Groups

Group: Definition, Axioms, and Detailed Examples

Coordinates and Locus

Invariants under Orthogonal Transformation