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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
Access of Video Lectures is provided on any one of the following devices:
Windows Computer or Laptop, or
Android Phone or Tablet, or
Apple Iphone or Ipad, or
Apple Macbook,
till end of Semester III Exams.
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.
You will get :
- Full Course Video Lectures
- Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions
- Live Online Doubts Sessions with Expert Faculty (at least twice a week) for resolution of Doubts
- Online Discussion Forum to Post Your Queries to Discuss with Faculty & other fellow Students
- Mock Tests at the Website for regular assessment and progress tracking
- Video Lectures Cover Theory Portions Exchaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals
- Comprehensive coverage of syllabus and exam oriented preperation
This online coaching platform aims to provide a supportive and engaging learning environment for students to achieve academic success and excel in their Economics Honours program.
Demo Lectures for Advanced Mathematical Methods for Economics
Course Introduction
Lagrange Multipliers Method
Previous Year Papers
These Lectures are Only for Demo.
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Demo PDF of Study Material
Chapter-1-Constrained-OptimisationExam Pattern
The Question Paper will be of 90 Marks
►There will not be multiple sections.
►There will be 10 questions (each of 10 marks), out of which 9 must be answered. A question may have no more than 2 sub-parts.
►The coverage of material in the exam will roughly correspond to the unitwise weights in terms of teaching times.
►30 Marks for Internal Assessment
►40 Marks for Continuos Assessment
Course Content of Our Video Lectures
Lectures are as per Latest Syllabus for UGCF 2024
Unit I : Multivariate Optimization with Constraints
Chapter 1 : Constrained Optimization
Duration of Video Lectures : 752 Minutes
Number of Video Lectures : 23
Based Upon Topics of Chapter 18 from Sydsaeter K., Hammond P.
Topics Covered
►Two Variable One Equality Constraint,
►The Lagrange Multiplier Method,
►Necessary & Sufficient Conditions,
►More General Lagrangean Problems,
►Economic Interpretations of Lagrange Multipliers,
►Envelope Results,
►Non Linear Programming,
Unit II : Linear Programming
Chapter 2 : Linear Programming
Duration of Video Lectures : 263 Minutes
Number of Video Lectures : 8
Based Upon Topics of Chapter 19 from Sydsaeter K., Hammond P.
Topics Covered
►Formulation of a Linear Programming Problem,
►Graphical Approach to Simple LP Problems,
►Introduction to Duality Theory,
►The Duality Theorem,
►A General Economic Interpretation,
►Complementary Slackness,
Unit III : Integration, Differential Equations, and Difference Equations
Chapter 3 : Integration
Duration of Video Lectures : 252 Minutes
Number of Video Lectures : 8
Based Upon Topics of Chapter 10 from Sydsaeter K., Hammond P.
Topics Covered
►Indefinite Integrals,
►Some Special Integrals,
►Definite Integrals, The Riemann Integral,
►Properties of Definite Integrals,
►Economic Applications of Integrals,
►Area Under the Curve using Integrals,
Chapter 4 : Difference Equations
Duration of Video Lectures : 120 Minutes
Number of Video Lectures : 3
Based Upon Topics of Chapter 20 from Sydsaeter K., Hammond P.
Topics Covered
►First Order Difference Equations,
►Second Order Difference Equations,
►Equilibrium & Stability,
Chapter 5 : Differential Equations
Duration of Video Lectures : 298 Minutes
Number of Video Lectures : 9
Based Upon Topics of Chapter 21 from Sydsaeter K., Hammond P.
Topics Covered
►First Order Differential Equations,
►Separable Differential Equations,
►First Order Linear Differential Equations,
►Bernoulli’s Equations,
►Ricati’s Equations,
►Stability & Phase Diagrams,
►Second Order Differential 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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Economics (H) Semester III [ UGCF 2024 ]
Video Lectures, PDF Notes, Mock Tests & Live Doubt Sessions are offered for the following Subjects for BA (Hons) Economics Semester III, Delhi University