**Welcome to Prime Academy**

**For getting access of recorded video lectures of Advanced Mathematical Methods for Economics (ECON 009) for Economics (H) Semester III, UGCF 2024 you need to subscribe our course.**

**If you are not registered at our website then Register Here (After registration please inform us at +91 9899 192027 to get the access)**

**If you are already registered and have Got the access then ****Login**** to watch the Lectures**

**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.**

**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.**

**Course Fee : Rs. 7,000**

**Fee Structure :**

Single Device | Two Devices | |
---|---|---|

Single Subject | Rs. 7000 | Rs. 12,000 |

Two Subjects | Rs. 13,500 | Rs. 23,000 |

Three Subjects | Rs. 20,000 | Rs. 33,000 |

Four Subjects | Rs. 26,000 | Rs. 42,000 |

**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.**

**You will get :**

**►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**

**Video Lectures Cover Theory Portions Exhaustively + Complete Solutions of Back Questions of Readings + Solutions of Previous Years Papers + Large Number of Numericals****►****Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions**

**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**

**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**

**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**

**Mock Tests at the Website for regular assessment and progress tracking****►****Comprehensive Coverage of Syllabus and Exam Oriented Preperation**

**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.**

**For Complete Course Video Lectures You Need to Subscribe Our Course**

**Contact us at +91 9899192027 for details**

**Demo PDF of Study Material**

Chapter-1-Constrained-Optimisation

**Demo PDF of Study Material****Exam 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**

**Course Content****of Our****Video Lectures****Lectures are as per Latest Syllabus for UGCF 2024**

**Unit I : Multivariate Optimization with Constraints**

**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, **

**►Two Variable One Equality Constraint,**

**►The Lagrange Multiplier Method, **

**►The Lagrange Multiplier Method,**

**►Necessary & Sufficient Conditions,**

**►Necessary & Sufficient Conditions,**

**►More General Lagrangean Problems, **

**►More General Lagrangean Problems,**

**►Economic Interpretations of Lagrange Multipliers, **

**►Economic Interpretations of Lagrange Multipliers,**

**►Envelope Results, **

**►Envelope Results,**

**►Non Linear Programming, **

**►Non Linear Programming,**

**Unit II : 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, **

**►Formulation of a Linear Programming Problem,**

**►Graphical Approach to Simple LP Problems, **

**►Graphical Approach to Simple LP Problems,**

**►Introduction to Duality Theory,**

**►Introduction to Duality Theory,**

**►The Duality Theorem, **

**►The Duality Theorem,**

**►A General Economic Interpretation, **

**►A General Economic Interpretation,**

**►Complementary Slackness, **

**►Complementary Slackness,**

**Unit III : Integration, Differential Equations, and Difference Equations**

**Unit III : Integration, Differential Equations, and Difference Equations****Chapter 3 : Integration**

**Duration of Video Lectures : 252 Minutes**

**Number of Video Lectures : **11

**Based Upon Topics of Chapter 10 from Sydsaeter K., Hammond P.**

**Topics Covered**

**►Indefinite Integrals, **

**►Indefinite Integrals,**

**►Some Special Integrals, **

**►Some Special Integrals,**

**►Definite Integrals, Properties of Definite Integrals, **

**►Definite Integrals, Properties of Definite Integrals,**

**►Newton Leibnitz IntegralsThe Riemann Integral,**

**►Newton Leibnitz IntegralsThe Riemann Integral,**

**►Area Under the Curve using Integrals, **

**►Area Under the Curve using Integrals,**

**►Economic Applications of Integrals, **

**►Economic Applications of Integrals,**

**►Present Discounted Value, **

**►Present Discounted Value,**

**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, **

**►First Order Difference Equations,**

**►Second Order Difference Equations, **

**►Second Order Difference Equations,**

**►Equilibrium & Stability, **

**►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, **

**►First Order Differential Equations,**

**►Separable Differential Equations, **

**►Separable Differential Equations,**

**►First Order Linear Differential Equations, **

**►First Order Linear Differential Equations,**

**►Bernoulli’s Equations, **

**►Bernoulli’s Equations,**

**►Ricati’s Equations, **

**►Ricati’s Equations,**

**►Stability & Phase Diagrams, **

**►Stability & Phase Diagrams,**

**►Second Order Differential Equations, **

**►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.

**On Payment of Fee we will create your account on our website & you need to login and download all the lectures & our APP through that login account**

**Payment Details**

**To purchase any course you need to transfer the amount either through Google Pay or PhonePe at 9811261671 or Paytm at 9899192027 or Transfer through net banking IMPS into the following account**

**To purchase any course you need to transfer the amount either through Google Pay or PhonePe at 9811261671 or Paytm at 9899192027 or Transfer through net banking IMPS into the following account**

**Account Details**

**Dheeraj Suri**

**Saving Account Number**

**392010100053871**

**Axis Bank, Model Town Branch**

**Delhi – 110009**

**IFS Code : UTIB0000392**

**Payment App Details**

**GPay Number : +91 9811261671**

**PhonePe Number : +91 9811261671**

**Paytm Number : 9899192027**

**After transfer update us with payment details through Whatsapp at +91 9899192027**

**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**