Demystifying Mathematics and Mathematical Economics. | 1 | Lesson Video | Topic 001 |

Mathematical versus Nonmathematical Economics | 1 | Lesson Video | Topic 002 |

Mathematical Economics versus Econometrics. | 1 | Lesson Video | Topic 003 |

Ingredients of a Mathematical Model: Variables and Economic Variables. | 2 | Lesson Video | Topic 004 |

Ingredients of a Mathematical Model: Constants and Parameters | 2 | Lesson Video | Topic 005 |

A Few Aspects of Logic: Propositions, Implications and Necessary and Sufficient Conditions. | 2 | Lesson Video | Topic 006 |

The Real-Number System | 2 | Lesson Video | Topic 007 |

Use of Sets in economics: Set Notation. | 3 | Lesson Video | Topic 008 |

Use of Sets in economics: Operations of Sets. | 3 | Lesson Video | Topic 009 |

Use of Sets in economics: Laws of Operations of Sets. | 3 | Lesson Video | Topic 010 |

Cartesian Coordinates | 3 | Lesson Video | Topic 011 |

What are Functions? | 4 | Lesson Video | Topic 012 |

Domain and Range in a Function | 4 | Lesson Video | Topic 013 |

Difference between Function and Relations. | 4 | Lesson Video | Topic 014 |

Economic Example of Schultz Demand Function | 4 | Lesson Video | Topic 015 |

Economic Example of Cost Function of Cleaning Impurities from a Lake | 4 | Lesson Video | Topic 016 |

Economic Example of Function: Laffer Curve | 4 | Lesson Video | Topic 017 |

Types of Functions: Constant Functions. | 5 | Lesson Video | Topic 018 |

Types of Functions: Polynomial Function: Linear Functions. | 5 | Lesson Video | Topic 019 |

Interpreting Linear Economic Functions | 5 | Lesson Video | Topic 020 |

Applications of Linear Functions: Population and Consumption Functions. | 5 | Lesson Video | Topic 021 |

Types of Functions: Polynomial Function: Quadratic Functions. | 6 | Lesson Video | Topic 022 |

Quadratic Cost function and Profit Function of a Monopoly. | 6 | Lesson Video | Topic 023 |

Quadratic Function and Production Possibilities Frontier | 6 | Lesson Video | Topic 024 |

Types of Functions: Polynomial Function: Cubic Functions. | 6 | Lesson Video | Topic 025 |

Cubic Cost functions. | 6 | Lesson Video | Topic 026 |

Rational Functions | 7 | Lesson Video | Topic 027 |

Other Types: Rectangular Hyperbolic Function | 7 | Lesson Video | Topic 028 |

Other Types: Non-algebraic Exponential Functions | 7 | Lesson Video | Topic 029 |

Population Growth using General Exponential Functions | 7 | Lesson Video | Topic 030 |

Other Types: Non-algebraic Natural Exponential Functions | 7 | Lesson Video | Topic 031 |

Population Growth using Natural Exponential Functions | 7 | Lesson Video | Topic 032 |

Other Types: Non-algebraic Logarithmic Functions | 8 | Lesson Video | Topic 033 |

Other Types: Non-algebraic Natural Logarithmic Functions | 8 | Lesson Video | Topic 034 |

Rate of Growth of GNP using Logarithmic Functions | 8 | Lesson Video | Topic 035 |

Inverse Functions | 8 | Lesson Video | Topic 036 |

Functions with Two or More Independent Variables | 8 | Lesson Video | Topic 037 |

Surfaces and Distance in Graphs of two or more independent variables. | 8 | Lesson Video | Topic 038 |

Equations and Identities. | 9 | Lesson Video | Topic 039 |

Types of equations in Economics: Definitional Equations. | 9 | Lesson Video | Topic 040 |

Fiscal Surplus and Fiscal Deficit Using Equations | 9 | Lesson Video | Topic 041 |

Types of equations in Economics: Behavioral Equations | 9 | Lesson Video | Topic 042 |

Types of equations in Economics: Conditional Equation | 9 | Lesson Video | Topic 043 |

Structural and Reduced Form Equations | 9 | Lesson Video | Topic 044 |

Constructing a Partial Linear Market Equilibrium | 10 | Lesson Video | Topic 045 |

Solving using Elimination of Variable Method | 10 | Lesson Video | Topic 046 |

Shifts in Demand in Market Equilibrium | 10 | Lesson Video | Topic 047 |

Shifts in Supply in Market Equilibrium | 10 | Lesson Video | Topic 048 |

Effect of Tax on Producer on Partial Market Equilibrium. | 10 | Lesson Video | Topic 049 |

Effect of Tax on Consumer on Partial Market Equilibrium. | 10 | Lesson Video | Topic 050 |

Partial Market Equilibrium-A Nonlinear Model. | 11 | Lesson Video | Topic 051 |

General Market Equilibrium: General form of Two Good Case. | 11 | Lesson Video | Topic 052 |

General Market Equilibrium: Numerical solution of Two Good Case. | 11 | Lesson Video | Topic 053 |

General Market Equilibrium: n-Good Case. | 11 | Lesson Video | Topic 054 |

National Income Equilibrium | 11 | Lesson Video | Topic 055 |

National Income Equilibrium with Induced and Autonomous Tax | 11 | Lesson Video | Topic 056 |

National Income Equilibrium with Proportion of Government Expenditure | 11 | Lesson Video | Topic 057 |

Matrices and Vectors | 12 | Lesson Video | Topic 058 |

Matrices Operations | 12 | Lesson Video | Topic 059 |

Using Product of Matrices to Calculate Total Cost | 12 | Lesson Video | Topic 060 |

Using Product of Matrices to Calculate Total Revenue and Profit | 12 | Lesson Video | Topic 061 |

Question of Matrix Division. | 12 | Lesson Video | Topic 062 |

Commutative, Associative, and Distributive Laws. | 13 | Lesson Video | Topic 063 |

Vector Operations | 13 | Lesson Video | Topic 064 |

Transpose of a Matrix | 13 | Lesson Video | Topic 065 |

Cofactors of a Matrix | 13 | Lesson Video | Topic 066 |

Adjoint of a Matrix | 13 | Lesson Video | Topic 067 |

Determinant of a Matrix | 14 | Lesson Video | Topic 068 |

Sarrus''s rule for 3x3 order Determinant of a Matrix | 14 | Lesson Video | Topic 069 |

Inverse of a Matrix | 14 | Lesson Video | Topic 070 |

Condition(s) for Non-singularity | 14 | Lesson Video | Topic 071 |

Expression of National Income using Matrix Form | 14 | Lesson Video | Topic 072 |

Minor and Cofactors. | 14 | Lesson Video | Topic 073 |

Market Model Analysis Using Matrix Inversion Method. | 15 | Lesson Video | Topic 074 |

National Income Analysis Using Matrix Inversion Method. | 15 | Lesson Video | Topic 075 |

Equilibrium Prices using Matrix Inversion Method | 15 | Lesson Video | Topic 076 |

Solving Market Model using Cramer''s Rule. | 16 | Lesson Video | Topic 077 |

Equilibrium Prices using Cramer''s Rule | 16 | Lesson Video | Topic 078 |

National Income Determination using Cramer''s Rule. | 16 | Lesson Video | Topic 079 |

Input Coefficient Matrix | 17 | Lesson Video | Topic 080 |

Economic Meaning of Hawkins-Simon Condition | 17 | Lesson Video | Topic 081 |

Input-Output Analysis in case of Open Economy. | 17 | Lesson Video | Topic 082 |

Input-Output Analysis in case of Closed Economy. | 17 | Lesson Video | Topic 083 |

The Need and Nature of Comparative Statics. | 17 | Lesson Video | Topic 084 |

Concept of Limit and continuity. | 18 | Lesson Video | Topic 085 |

Rate of Change, Slope & Derivative. | 18 | Lesson Video | Topic 086 |

Differentiation Rules for Single variable functions: Constant Function Rule and Power Function Rule. | 19 | Lesson Video | Topic 087 |

Sum-Difference Rule of Differentiation. | 19 | Lesson Video | Topic 088 |

Sum-Difference Rule: Numerical Analysis of Cost Function | 19 | Lesson Video | Topic 089 |

Understanding graphs of Function and its derivatives. | 19 | Lesson Video | Topic 090 |

Product Rule of Differentiation. | 20 | Lesson Video | Topic 091 |

Relationship between Average Revenue and Marginal Revenue using Product Rule. | 20 | Lesson Video | Topic 092 |

Quotient Rule of Differentiation. | 20 | Lesson Video | Topic 093 |

Marginal Propensity to Consume via Differentiation with and without Tax | 20 | Lesson Video | Topic 094 |

Relationship Between Marginal-Cost and Average-Cost Functions using Quotient Rule. | 20 | Lesson Video | Topic 095 |

Variable and Fixed Cost components in total cost function. | 21 | Lesson Video | Topic 096 |

Obtaining Marginal Cost function from Average Cost function | 21 | Lesson Video | Topic 097 |

Marginal Cost Analysis | 21 | Lesson Video | Topic 098 |

Marginal Revenue Analysis | 21 | Lesson Video | Topic 099 |

Marginal Product Analysis | 21 | Lesson Video | Topic 100 |

Rules of Differentiation: Functions with different variables: Chain Rule. | 22 | Lesson Video | Topic 101 |

Marginal Revenue Product of Labor (MRPL) Analysis. | 22 | Lesson Video | Topic 102 |

Marginal Analysis of Fishery Production Function | 22 | Lesson Video | Topic 103 |

Inverse Function Rule | 22 | Lesson Video | Topic 104 |

Partial Differentiation: The Concept. | 23 | Lesson Video | Topic 105 |

Marginal Physical Product of Labor and Capital using Partial Derivatives. | 23 | Lesson Video | Topic 106 |

Marginal Utility functions using Partial Derivatives. | 23 | Lesson Video | Topic 107 |

Output Elasticity of Labor and Capital using Partial Derivatives. | 23 | Lesson Video | Topic 108 |

Money Market Analysis using Partial Derivatives. | 23 | Lesson Video | Topic 109 |

Partial Market Model using Partial Differentiation. | 24 | Lesson Video | Topic 110 |

National-Income Model using Partial Differentiation. | 24 | Lesson Video | Topic 111 |

Second and Higher Order Derivatives | 24 | Lesson Video | Topic 112 |

Economic Applications of Second Derivative: Profit Maximization Condition. | 24 | Lesson Video | Topic 113 |

Numerical Example of Profit Maximization Condition using Second Derivative | 24 | Lesson Video | Topic 114 |

Young''s Theorem | 25 | Lesson Video | Topic 115 |

Demand for Money Function Analysis using Partial Derivatives. | 25 | Lesson Video | Topic 116 |

Income Elasticity of Demand using Partial Derivatives | 25 | Lesson Video | Topic 117 |

Cross Price Elasticity of Demand using Partial Derivatives | 25 | Lesson Video | Topic 118 |

Partial Derivatives Application on Herring Production Function | 25 | Lesson Video | Topic 119 |

Partial Derivatives Application on Three Input Production Function | 25 | Lesson Video | Topic 120 |

Envelope Theorem | 26 | Lesson Video | Topic 121 |

Roy''s Identity | 26 | Lesson Video | Topic 122 |

Hotelling''s Lemma | 26 | Lesson Video | Topic 123 |

Shephard Lemma | 26 | Lesson Video | Topic 124 |

Differentials versus Derivatives | 27 | Lesson Video | Topic 125 |

Point Elasticity using Differentials. | 27 | Lesson Video | Topic 126 |

Elasticity of Rectangular Hyperbolic Demand Curve. | 27 | Lesson Video | Topic 127 |

Income and Price Elasticity of Demand using Differentials. | 27 | Lesson Video | Topic 128 |

Income Elasticity of Consumption using Differentials. | 27 | Lesson Video | Topic 129 |

Income and Price Elasticity of Import Function using Differentials. | 27 | Lesson Video | Topic 130 |

Output Elasticity of Cost | 27 | Lesson Video | Topic 131 |

Concept of Total Differentials. | 28 | Lesson Video | Topic 132 |

Savings Function and Total Differentials. | 28 | Lesson Video | Topic 133 |

General Utility Function and Total Differentials. | 28 | Lesson Video | Topic 134 |

Specific Utility Function and Total Differentials. | 28 | Lesson Video | Topic 135 |

Price and Rain Elasticity of Supply using Total Differentials. | 28 | Lesson Video | Topic 136 |

Local Price Elasticity of Foreign Demand of Exports using Total Differentials. | 28 | Lesson Video | Topic 137 |

Concept of Total Derivatives | 29 | Lesson Video | Topic 138 |

Complementarity between Coffee and Sugar Using total Derivative | 29 | Lesson Video | Topic 139 |

General Production Function with time-dependent Labor and Capital. | 29 | Lesson Video | Topic 140 |

Specific Production Function with time-dependent Labor and Capital. | 29 | Lesson Video | Topic 141 |

Concept of Implicit Differentiation. | 30 | Lesson Video | Topic 142 |

Production Function Analysis using Implicit Differentiation. | 30 | Lesson Video | Topic 143 |

Marginal Rate of Technical Substitution using Implicit Differentiation | 30 | Lesson Video | Topic 144 |

Marginal Utilities and Marginal Rate of Substitution using Implicit Differentiation. | 30 | Lesson Video | Topic 145 |

Nerlove-Ringstad Production Function using Implicit Differentiation. | 30 | Lesson Video | Topic 146 |

Marginal Products of Three Input Logarithmic Production Function | 30 | Lesson Video | Topic 147 |

Exponential Functions and Growth | 31 | Lesson Video | Topic 148 |

Instantaneous Rate of Growth | 31 | Lesson Video | Topic 149 |

Numerical Examples of Instantaneous Rate of Growth | 31 | Lesson Video | Topic 150 |

Continuous vs Discrete Growth | 31 | Lesson Video | Topic 151 |

Discounting and Negative Growth | 31 | Lesson Video | Topic 152 |

Applications of Continuous Compounding | 31 | Lesson Video | Topic 153 |

Logarithms: Meaning and Types | 32 | Lesson Video | Topic 154 |

Laws of Logarithms | 32 | Lesson Video | Topic 155 |

Laws of Logarithms for Transformation of CES Production Function | 32 | Lesson Video | Topic 156 |

Rules of Differentiation of Exponential and Logarithmic Functions. | 33 | Lesson Video | Topic 157 |

Optimal Timing: A Problem of Wine Storage | 33 | Lesson Video | Topic 158 |

Optimal Timing: A Problem of Timber Cutting | 33 | Lesson Video | Topic 159 |

Optimal Timing: Land Purchase for Speculation | 33 | Lesson Video | Topic 160 |

Optimal Timing: Art Collection | 33 | Lesson Video | Topic 161 |

Optimal Timing: Diamond Purchase | 33 | Lesson Video | Topic 162 |

Finding the Rate of Growth using Exponential and Logarithmic Functions. | 34 | Lesson Video | Topic 163 |

Growth of Exports of a Country | 34 | Lesson Video | Topic 164 |

Finding the Point Elasticity | 34 | Lesson Video | Topic 165 |

Rates of Growth of Population, Consumption, and Per Capita Consumption | 34 | Lesson Video | Topic 166 |

Rate of Growth of Per Capita Employment | 34 | Lesson Video | Topic 167 |

Rate of Growth of Export Earnings of a Country | 34 | Lesson Video | Topic 168 |

Rate of Growth of Sales | 34 | Lesson Video | Topic 169 |

Rate of Growth of Profit | 34 | Lesson Video | Topic 170 |

Concept of Optimization | 35 | Lesson Video | Topic 171 |

Calculus Approach to Optimization: 1st Order Test. | 35 | Lesson Video | Topic 172 |

Average Cost Analysis | 35 | Lesson Video | Topic 173 |

Calculus Approach to Optimization: 2nd Order Test | 35 | Lesson Video | Topic 174 |

Matrix Approach to Optimization: 2nd Order Test - Hessian | 35 | Lesson Video | Topic 175 |

Profit Maximization Analysis | 36 | Lesson Video | Topic 176 |

Numerical Example of Profit Maximization | 36 | Lesson Video | Topic 177 |

Profit Maximization of Technically Related Goods | 36 | Lesson Video | Topic 178 |

Profit Maximization of Monopolistic Firm producing Related Goods | 36 | Lesson Video | Topic 179 |

Profit Maximization of Firm producing Substitute Goods | 36 | Lesson Video | Topic 180 |

Marginal and Average Revenue Analysis | 37 | Lesson Video | Topic 181 |

Short Run Production Function Analysis | 37 | Lesson Video | Topic 182 |

Total Cost, Total Revenue and Profit Maximization | 37 | Lesson Video | Topic 183 |

Quadratic Profit Function Analysis | 38 | Lesson Video | Topic 184 |

Optimization of Exponential Revenue Function | 38 | Lesson Video | Topic 185 |

Optimization of More than one Choice variable. | 38 | Lesson Video | Topic 186 |

Economic Application on Multi-product Firm | 38 | Lesson Video | Topic 187 |

Economic Application on Multi-plant Firm | 38 | Lesson Video | Topic 188 |

Price Discrimination by Monopoly | 39 | Lesson Video | Topic 189 |

Price Discrimination by Monopsony | 39 | Lesson Video | Topic 190 |

Input Decision of a Firm | 39 | Lesson Video | Topic 191 |

Profit Maximization of two-product firm. | 39 | Lesson Video | Topic 192 |

Comparative-Static Aspects of Optimization | 40 | Lesson Video | Topic 193 |

Rationale for Constrained Optimization. | 40 | Lesson Video | Topic 194 |

Finding Stationary Values using Substitution/Elimination Method. | 40 | Lesson Video | Topic 195 |

Finding Stationary Values using Method of Lagrange Multiplier. | 40 | Lesson Video | Topic 196 |

Interpretation of the Lagrange Multiplier. | 40 | Lesson Video | Topic 197 |

Second Order Condition: The Bordered Hessian | 40 | Lesson Video | Topic 198 |

Two Period Model of Utility. | 41 | Lesson Video | Topic 199 |

Convexity and Concavity using Second Order Derivative. | 41 | Lesson Video | Topic 200 |

Utility Maximization and Consumer Demand: First Order Condition | 41 | Lesson Video | Topic 201 |

Utility Maximization and Consumer Demand: Second Order Condition | 41 | Lesson Video | Topic 202 |

Numerical Example of Utility Maximization | 41 | Lesson Video | Topic 203 |

Law of Equi-marginal Utility using Lagrangian Multiplier | 41 | Lesson Video | Topic 204 |

Economic Application of Production Function Maximization | 42 | Lesson Video | Topic 205 |

Economic Application on Logarithmically Transformed Production Function | 42 | Lesson Video | Topic 206 |

Homogeneous Functions | 42 | Lesson Video | Topic 207 |

Homogeneous Production Function, Average Products and Capital-Labor ratio. | 42 | Lesson Video | Topic 208 |

Homogeneous Production Function, Marginal Products and Capital-Labor ratio. | 42 | Lesson Video | Topic 209 |

Homogeneous Production Function and Euler''s Theorem | 42 | Lesson Video | Topic 210 |

Cobb-Douglas Production Function and Returns to Scale. | 43 | Lesson Video | Topic 211 |

Homogeneity and Returns to Scale of Three input Production Function. | 43 | Lesson Video | Topic 212 |

Least-Cost Combination in Cobb-Douglas Production Function. | 43 | Lesson Video | Topic 213 |

Expansion Path using First Order Condition. | 43 | Lesson Video | Topic 214 |

Homothetic Functions | 43 | Lesson Video | Topic 215 |

Homotheticity of Cobb-Douglas Production Function. | 43 | Lesson Video | Topic 216 |

Introducing CES Production Function | 44 | Lesson Video | Topic 217 |

Homogeneity of CES Production Function | 44 | Lesson Video | Topic 218 |

Marginal Products of CES Production Function | 44 | Lesson Video | Topic 219 |

Share of Labor and Capital in CES Production Function | 45 | Lesson Video | Topic 220 |

CES Production Function and Euler''s Theorem | 45 | Lesson Video | Topic 221 |

Numerical CES Production Function Calculation | 45 | Lesson Video | Topic 222 |