Mathematical Economics

BASIC CONCEPTS

Set Theory | Concepts

Finding the Number of Elements in a Set - Problems & Solutions

Concepts of Variables, Constants, Parameters, Equations & Identities

Equilibrium Condition - Notes

Simultaneous Equations & Equilibrium of a Firm - Problems & Solutions

Relation & Function | Types

Finding the Domain and Range of a Function - Problems & Solutions

The Straight Line & Its Slope | Numerical Problems

The Straight Line and Its Slope - Problems & Solutions

Homogeneous and Homothetic Function (Theory)

Homogeneous Function - Problems & Solutions

MATRIX ALGEBRA

Meaning of Matrix | Types & Others (Theory)

Matrix Operations | Addition, Subtraction & Multiplication

Additional Problems on Matrix Operation

Multiplication of Matrices

Laws of Matrix Operations

Determinant of a Matrix

Properties of Determinants

Singular and Non-singular Matrix

Rank of a Matrix - Meaning & Problem 1

Rank of a Matrix - Problem 2

Rank of a Matrix - Problem 3

Rank of a Matrix - Problem 4 & 5

Inverse of a Matrix

Minor, Cofactor and Adjoint Matrix

Steps and Conditions for finding the Inverse of a Matrix

Finding the inverse of a matrix of 2x2 order

Finding the inverse of a matrix of 3x3 order

Inverse of a Matrix | Additional Problem - 1

If A is a matrix and A^(−1) is its inverse, then their product must be equal to the Identity matrix

System of Simultaneous Equations and its Methods of Solutions

Simultaneous Equations and its Methods of Solution

Solving Simultaneous Equations by Matrix Inversion - 3 Equations and 3 variables

Solving Simultaneous Equations by Matrix Inversion - 2 Equations and 2 Variables

Solving Simultaneous Equations by Matrix Inversion - 3 Equations and 3 variables | Addl. Problem 1

Solving Simultaneous Equation by Cramer's Rule - 2 Equations and 2 Variables

Solving Simultaneous Equation by Cramer's Rule - 3 Equations and 3 Variables

Solving Simultaneous Equation by Cramer's Rule - Additional Problem 1

Solving Simultaneous Equation by Cramer's Rule - Additional Problem 2

Solving Simultaneous Equation by Cramer's Rule - Additional Problem 3

Leontief Static Input-Output Model (Open Model)

Leontief Static Input-Output Model

Leontief Static Input-Output Model - The Open Model (Lecture Notes)

Leontief Input-Output Model - Problem and Solution 1

Leontief Input-Output Model - Problem and Solution 2

Leontief Input-Output Model - Problem and Solution 3

Leontief Input-Output Model - Problem and Solution 4

Leontief Input-Output Model - Problem and Solution 5

Hawkins-Simon Conditions

LIMITS OF A FUNCTION

Meaning of a Limit of a Function & Types (Theory)

Rules for finding the Limit of a Function

Limit of a Function | Additional Problem and Solution 1

Limit of a Function | Additional Problem and Solution 2

Continuity of a Function | Problems & Solutions

Discontinuity of a Function | Problems & Solutions

DIFFERENTIAL CALCULUS

Types of Economic Analysis

Types of Economic Analysis

The Concept of Derivatives and Its Application in Economics

The Difference Quotient & The Derivation of Derivative

The concept of Derivative and Its Application in Economics

Rules of Differentiation

Basic Rules of Differentiation

Rules of Differentiation - Exponential & Logarithmic Rules

Rules of Differentiation - Sum & Difference Rule

Rules of Differentiation - Product Rule

Rules of Differentiation - Product Rule - Additional Problems

Rules of Differentiation - Quotient Rule

Rules of Differentiation - Chain Rule

Rules of Differentiation - Chain Rule - The Generalised Power Function Rule

Rules of Differentiation - Chain Rule - The Generalised Exponential Rule

Rules of Differentiation - Chain Rule - The Generalised Logarithmic Rule

Rules of Differentiation - Chain Rule - Differentiation of roots of Expression

Rules of Differentiation - Differentiation of Implicit Function

Rules of Differentiation - Differentiation by taking Logarithmic

Derivatives of a Function | Special Cases

Differentiation of Higher Order

Differentiation of Higher Order

Optimisation in Economics

Derivative and Nature of the Curve of a Function

Optimisation in Economics - Maxima and Minima Value of a Function

Optimisation in Economics - Maximum and Minimum Value of a Function & Inflection Point

Finding the Maximum and Minimum Value of a Function - Part 1

Finding the Maximum and Minimum Value of a Function - Part 2

Maxima and Minima of a Quartic Function (Polynomial Function of degree 4)

Finding the Point of Inflection of a Function

Optimisation & its Application in Economics

Profit Maximisation | Problem & Solution 1

Profit Maximisation | Problem & Solution 2

Cost Minimisation | Problem & Solution 1

Equilibrium of a firm | Problem & Solution 1

Partial Derivatives

Partial Derivatives | Problem and Solution 1

Partial Derivatives | Problems & Solution 2

Partial Derivatives | Problems & Solutions 3

Second-Order and Mixed/Cross Partial Derivatives and Young's Theorem | Problem & Solution 1

Second-Order and Mixed/Cross Partial Derivatives and Young's Theorem | Problem & Solution 2

Additional Problems on Simple & Partial Derivatives

Additional Problems on Simple & Partial Derivatives

Additional Problems on Simple & Partial Derivatives

Euler's Theorem

Application of Simple & Partial Derivatives

Finding the Marginal and Average Functions of a function with one independent variable (Using Simple Derivatives)

Finding the Marginal and Average Functions of a function with more than one independent variables (Using Partial Derivatives)

Finding the Price Elasticity of Demand (Using Simple Derivatives)

Point Elasticity

Total Derivatives & Total Differential

Total Differential

Total Differential | Problems & Solutions 1

Total Differential | Problems & Solutions 2

Total Derivatives

Total Derivatives | Problem & Solution

INTEGRAL CALCULUS

Meaning of Integration and Others (Theory)

Consumer's Surplus & Producer's Surplus

Basic Rules of Integration

Indefinite Integration | Additional Problems & Solutions

Integration by Parts (Product Rule)

Integration by Substitution (Chain Rule)

Definite Integration

Integration by Parts (Product Rule) for Definite Integration

Integration by Substitution (Chain Rule) for Definite Integration

Area under a Curve

Application of Definite Integration | Consumer's Surplus & Producer's Surplus

SOLUTION OF QUESTION PAPERS

Question Paper 2019 (2017 Syllabus)

Question Paper 2021 (2017 Syllabus)