Intermediate Mathematical Methods for Economics

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Intermediate Mathematical Methods for Economics (MME – II) for Economics (H) Semester II, University of Delhi

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The Intermediate Mathematical Methods for Economics [ MME – II ] Course for BA (Hons) Economics Semester II, Delhi University has been taught by Mr. Dheeraj Suri. The Video Lectures are based upon the books prescribed by the University of Delhi. The Duration of Video Lectures is approximately 50 Hours.

Course Fee : Rs. 7,000

Access of Video Lectures is provided on any one of the following devices:

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till end of Semester II Exams.

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  • Full Course Video Lectures
  • Video Lectures Cover Theory Portions Exhaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals + Economic Applications + Problems Based Upon Derivations + Challenging Questions
  • Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions
  • Online Discussion Forum to Post Your Queries to Discuss with Faculty & other fellow Students
  • Live online Doubts Sessions (at least twice a week) for resolution of Doubts
  • Mock Tests at the Website

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Dheeraj Suri

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392010100053871

Axis Bank, Model Town Branch

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Click Here for PDF Notes of Chapter 1

Note for Full Course PDF Notes you need to subscribe our course

Demo Lectures

1.1 Vectors Introduction
Directional Derivatives
Directional Derivatives Lecture #2
Quasi Concave & Quasi Convex
MME II 2021 Paper Q1

Readings Suggested by DU

  • Sydsaeter, K., Hammond, P. (2002). Mathematics for economic analysis, Pearson Educational.
  • Hoy, M., Livernois, J., McKenna, C., Rees, R., Stengos, T. (2001). Mathematics for Economics, Prentice-Hall India.

Course Content of Our Video Lectures

Lectures are as per Latest Syllabus for 2023 UGCF

Unit I : Linear Algebra

Chapter 1 : Linear Algebra : Vectors & Matrices

Duration of Video Lectures : 921 Minutes

Based Upon Chapter 12 Sydsaeter K., Hammond P.

Topics Covered

►Vectors Introduction, Operations on Vectors, Linear Combination of Vectors

►Geometric Interpretation of Vectors

►The Scalar Product of Vectors, Orthogonal Vectors

►Equations of Lines and Planes

►Matrices & Matrix Operations

►Matrix Multiplication, Rules for Matrix Multiplication, Idempotent Matrix, Nilpotent Matrix, Orthogonal Matrix,

►Transpose of a Matrix, Symmetric and Skew Symmetric Matrix,

Chapter 2 : Determinants & Matrix Inversion

Duration of Video Lectures : 250 Minutes

Based Upon Chapter 13 Sydsaeter K., Hammond P.

Topics Covered

►Determinants of Order 2,

►Determinants of Order 3,

►Determinants of Order n,

►Basic Rules for Determinants,

►Expansion by Cofactors,

►The Inverse of a Matrix, Properties of Inverse, Solution of Linear Equations by Matrix Inversion Method,

►Cramer’s Rule, Homogeneous System of Equations,

►Leontief Input Output Model,

Chapter 3 : Further Topics in Linear Algebra

Duration of Video Lectures : 286 Minutes

Based Upon Chapter 14 Sydsaeter K., Hammond P.

Topics Covered

►Linear Combination of Vectors, Convex Combination of Vectors,

►Linearly Dependent & Independent Vectors,

►The Rank of a Matrix,

►Solution of Equations by Rank Criterion, Superfluous Equations, Degrees of Freedom,

►Eigenvalues and Eigenvectors,

►Diagonalization,

►The Spectral Theorem for Symmetric Matrices,

Unit II : Functions of Several Real Variables

Chapter 4 : Functions of Several Variables

Duration of Video Lectures : 332 Minutes

Based Upon Chapter 15 Sydsaeter K., Hammond P.

Topics Covered

►Functions of Two Variables, Functions of More Than Two Variables, Domain of Functions of Several Variables,

►Geometric Representation of Functions of Several Variables, Level Curves for Z = f (x, y),

►Partial Derivatives with Two Variables, Higher Order Partial Derivatives,

►Partial Derivatives and Tangent Planes,

►Partial Derivatives with Many Variables, Young’s Theorem,

►Partial Derivatives in Economics, Production Functions, Marginal and Average Product of Inputs, Utility Functions, Marginal Utility,

►Linear Models with Quadratic Objectives, OLS Estimation of Linear Regression,

►Quadratic Forms in Two Variables, Quadratic Forms with Linear Constraints,

►Quadratic Forms in Many Variables,

Chapter 5 : Tools for Comparative Statics

Duration of Video Lectures : 909 Minutes

Based Upon Chapter 16 Sydsaeter K., Hammond P.

Topics Covered

►The Chain Rule, Directional Derivatives,

►General Chain Rules, Leibniz’s Formula,

►Derivatives of Functions Implicitly Defined, The General Equation for the Tangent,

►Partial Elasticities, The Elasticity of Substitution,

►Homogeneous Functions of Two Variables, Geometric Aspects of Homogeneous Functions,

►General Homogeneous & Homothetic Functions, Euler’s Theorem,

►More on Implicit Differentiation,

►Linear Approximation and Differentials, Invariance of the Differential,

►System of Equations, Finding Partial Derivatives from Differentials,

►The Implicit Function Theorem,

Unit III : Multivariate Optimization

Chapter 6 : Multivariate Optimization

Duration of Video Lectures : 503 Minutes

Based Upon Chapter 17 Sydsaeter K., Hammond P.

Topics Covered

►Simple Two Variable Optimization,

►Maxima and Minima with a Dash of Topology, Topology in a Plane,

►The Extreme Value Theorem,

►Local Extreme Points,

►Convex Sets, Concave and Convex Functions, Jensen’s Inequality,

►Second Derivative Tests for Concavity/Convexity,

►Quasi Concave and Quasi Convex Functions,

Chapter 7 : Constrained Optimization

Duration of Video Lectures : 338 Minutes

Based Upon Chapter 18 Sydsaeter K., Hammond P.

Topics Covered

►Two Variables, One Equality Constraint,

►The Lagrange Multiplier Method,

►Economic Interpretations of Lagrange Multiplier,

►Envelope Results,