Welcome to Prime Academy

The Advanced Mathematical Methods for Economics – I (ECON 009) Course for BA (Hons) Economics Semester III, UGCF 2024, 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

Once You get the access you need to login and download our APP and all the lectures from your login account and play in your device.

Demo Lectures for Advanced Mathematical Methods for Economics

Demo PDF of Study Material

Chapter-1-Constrained-Optimisation

Exam Pattern

Course Content of Our Video Lectures

Lectures are as per Latest Syllabus for UGCF 2024

Unit I : Multivariate Optimization with Constraints

Unit II : Linear Programming

Unit III : Integration, Differential Equations, and Difference Equations

Syllabus Prescribed by DU

DISCIPLINE SPECIFIC CORE COURSE -9 (DSC-9) : Advanced Mathematical Methods for Economics

Course Description

Learning Objectives

This is the last of a compulsory three-course sequence. The Learning Objectives of this course are as follows:

• To transmit the body of basic mathematics that enables the study of economic theory at the
  undergraduate level, specifically the courses on microeconomic theory, macroeconomic theory,
  statistics and econometrics set out in this syllabus.
• In this course, particular economic models are not the ends, but the means for illustrating the method of applying mathematical techniques to economic theory in general.

Learning outcomes

The Learning outcomes of this course are as follows:

• The course builds the skills for mathematical foundations necessary required further study of a variety of disciplines including postgraduate economics, statistics, computer science, finance and data analytics.

• The analytical tools introduced in this course have applications wherever optimization techniques
  especially constrained optimization are used in business decision-making for managers and
  entrepreneurs alike.
• These tools are necessary for anyone seeking employment as an analyst in the corporate world.

Syllabus

UNIT I: Multivariate Optimization with constraints (15 hours)
Constrained optimisation with equality and inequality constraints: geometric characterisation, Lagrange
characterisation using calculus and applications; properties ofvalue function: envelope theorem, applications.
UNIT II: Linear programming (15 hours)
Introduction, graphical solution, matrix formulation, duality, economic interpretation.
UNIT III: Integration, differential equations, and difference equations (15 hours)
Definite integrals, indefinite integrals and economic applications; first order and second order difference
equations, equilibrium and its stability; first order differential equations, phase diagrams and stability;
second order differential equations.

Recommended readings

• 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.

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