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Basics
Real Numbers
Domain and Range
Intervals
Absolute Values
Non linear Graphs
Linear Inequalities
Limit And Continuity
Limit of Function
Continuity of function : explanation and numerical examples.
Method of Factors _ Limit of Function.
Substitution method _ limit of function
Method of rationalisation_ limit of function
Limit when X tends to infinity
Continuity of function _ explanation and numerical examples.
Derivatives
Product Rule- Derivative
Quotient Rule- Derivative(Maths for economics)
Derivatives of sum and difference (Maths for economics)
Power Rule - derivatives (Maths for economics)
Chain Rule - Derivative(Maths for Economics)
Logarithmic Differentiation ( Maths for Economics)
Derivatives of Log Function (Maths for Economics)
Implicit derivatives (maths for economics)
Derivative of Exponential functions (Maths for Economics)
Derivatives of Parametric function
Application of Derivatives in Economics.
Cobb-Douglas Production Function and Euler Theorem.
Minimum and maximum values function_ Economics and Mathematics
Increasing and Decreasing Functions_ Mathematical Economics
Homogenous Functions_ explanation and examples ( Economics and business)
Euler Theorem on homogeneous functions
Elasticity of demand and numerical examples
AR and MR and Relationship with Elasticity of Demand.
Marginal Revenue Calculation_ Numerical example
AC slope and relationship between AC and MC
Calculus and Output Maximization
Calculus and Revenue Maximization
Calculating the AP(L) and MP(L) and maximum value of AP
Calculating the Marginal Product of Labour and Marginal product of capital mathematically
Calculus and Output Maximization
Calculus and cost minimisation
Calculating the Marginal Product of Labour and Marginal product of capital mathematically
Calculating the AP(L) and MP(L) and maximum value of AP
Calculus and perfectly competitive market.
Calculus and monopoly profit Maximization
Two Variable Derivatives
Partial Derivatives
Maxima and minima monopoly example _ two variables
Maxima and minima in case of two variables
Application of Two Variables Derivatives
Lagrange Multiplier or Constrained Optimisation
Lagrange Multiplier and Utility Maximization
Convex and Concave Functions
Convex Functions
Concave Functions
Integration
Basic Rules of Integration. Mathematics for Economics.
Definite Integral : Maths for Economics
Integration by Parts
Integration by Substitution
Integration by division
Partial Integration
Application of Integration in Economics.
Calculating TR from MR
Calculating Total Cost from Marginal cost
Capital formation through integration
Consumer Surplus and integration
Differential Equation
Differential equation degree and order
Variables Separable Method
Exact Differential Equation
First order linear Differential Equation
Second order linear Differential equation
Applications of Differential Equation
Utility function
Market equilibrium
Derivation of Demand Function
Difference Equation
Homogeneous first order difference, equation,
Homogenous second order difference equation
Non homogeneous difference Equation
Difference Equation Applications
Lagged Income Determination Model
Cobweb Model
Harrod Growth Model
Multiplier and Accelerator Model
Analytical Geometry
Intercept and slope form of straight line
Point slope form of straight line
Intercept form of straight line
Two Points form of straight line
Circle
Parabola -1
Parabola -2
Parabola Examples
Rectangular Hyperbola
Set Theory
Set Theory
Elementary operations on sets
Applications of set theory
Matrices
Understanding Matrices
Addition and subtraction
Multiplication
Transpose of a Matrix
Determinants
Minor and Cofactors
Adjoint Matrix
Inverse of Matrix
Cramer Rule
Matrix Method
Income Determination and Cramer’s Rule
Input Input and Output Analysis
Input -Output Analysis Introduction
Hawkins Simon Conditions
Two sector economy