IGNOU BECE-15 - Elementary Mathematical Methods in Economics

IGNOU BECE-15 English Topics Covered

Block 1 - Elementary Algebra

• Unit 1 - Sets, Relations and Functions
• Unit 2 - Elementary Co-ordinate Geometry
• Unit 3 - Systems of Linear Equations

Block 2 - Elementary Linear Algebra

• Unit 1 - Matrices and Determinants
• Unit 2 - Linear Economic Models

Block 3 - Calculus

• Unit 1 - Limits and Continuity
• Unit 2 - Differentiation
• Unit 3 - Partial Differentiation
• Unit 4 - Integration

Block 4 - Unconstrained Optimisation

• Unit 1 - Location of Extrema: The One Variable Case
• Unit 2 - Optimisation of Function of more than One Variable

Block 5 - Constrained Optimisation

• Unit 1 - Constrained Extremum Problems
• Unit 2 - Comparative Statics

Block 6 - Dynamics

• Unit 1 - Introduction to Dynamics
• Unit 2 - Difference Equations
• Unit 3 - Differential Equations

Block 7 - Programming: Some Economic Models

• Unit 1 - Linear Programming
• Unit 2 - Non-Linear Programming
• Unit 3 - Elementary Dynamic Optimisation

Block 8 - Elementary Game Theory

• Unit 1 - Static Games
• Unit 2 - Dynamic Games

IGNOU BECE-15 Hindi Topics Covered

Block 1 - प्रारंभिक बीजगणित

• Unit 1 - समुच्चय, संबंध और फलन
• Unit 2 - प्रारंभिक निर्देशांक ज्यामिति
• Unit 3 - रैखिक समीकरणों के निकाय

Block 2 - प्रारंभिक रैखिक बीजगणित

• Unit 1 - आव्यूह और सारणिक
• Unit 2 - रैखिक आर्थिक मॉडल

Block 3 - कलन

• Unit 1 - सीमांत और सातत्य
• Unit 2 - अवकलन
• Unit 3 - आंशिक अवकलन
• Unit 4 - समाकलन

Block 4 - अनिबाधित इष्टतमीकरण

• Unit 1 - उभयान्तक के स्थान: एक चर की समस्या
• Unit 2 - एक से अधिक चरों के फलनों का इष्टतमीकरण

Block 5 - निबाधित इष्टतमीकरण

• Unit 1 - निबाधित उभयान्तकों की समस्याएँ
• Unit 2 - तुलनात्मक स्थैतिक

Block 6 - गत्यात्मक

• Unit 1 - प्रावैगिकी की ओर परिचय
• Unit 2 - अंतर समीकरण
• Unit 3 - अवकलन समीकरण

Block 7 - प्रोग्रामन: कुछ आर्थिक प्रतिमान

• Unit 1 - रैखिक प्रोग्रामन
• Unit 2 - अरैखिक प्रोग्रामन
• Unit 3 - प्रारंभिक गत्यात्मक इष्टतमीकरण

Block 8 - प्रारंभिक कूटोपाय सिद्धांत

• Unit 1 - स्थिर कूटोपाय
• Unit 2 - गत्यात्मक कूटोपाय

IGNOU BECE-15 (July 2021 - January 2022) Assignment Questions

A. Long Answer Questions Answer any two questions. 1. A monopolist faces the demand curve Q = 60 - P/2. The cost function is C = Q2 Find the output that maximises this monopolist’s profits. What are the prices at profits and that output? Find the elasticity of demand at the profit maximizing output. 2. A firm in a perfectly competitive market has the following cost function: C = 1/3q3 – 5q2 + 30q +10 If the market-clearing price is 6, obtain the profit maximising level of output. 3. Consider the following Macro-Model (Multiplier – Accelerator Interaction): i) Find the time path Y(t) of national income, and ii) Comment on the stability conditions. 4. Discuss the importance of the Hawkins-Simon conditions in input-output analysis. B. Medium Answer Questions Answer any three questions. 5. Using Cramer's rule solve the following equations: (i) x + y - 2 = 0 2x- y +2 = 3 4x + 2y -22 = 2 (ii) 2x+4y = 18 4x-6y = 8 6. Find the short run average cost for the production function q = AL1/3K2/3 where total cost (TC) = wL + rK, the symbols having their usual meaning. 7. Find the matrix inverse of 8. Determine the eigenvalues and eigenvectors of the matrix 9. i) Let For what values of x will be the function be discontinuous? ii) Show that tends to a1/a2 as 10. Determine the distance between the points: i) (3, 0, 7) and (- 4, 8, 2) ii) (4, 6, 7, 1) and (-3, 0, 2, 4) iii) The distance between the points (3, 1, 2, 4) and is 200. What can be said about the value of C. Short Answer Questions Answer any three questions. 11. Evaluate the Limits of 12. If the demand function for a good is Q= 140 – 5P, what is the price elasticity of demand at P = 15 rupees? 13. If Z = f(x,y) = xy Find the maximum value for f(x,y) if x & y are constrained to sum to 1 (That is x +y = 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method. 14. Define a. Adjugate of a matrix b. Decomposable matrix c. Singular matrix 15. Determine the characteristic roots and the characteristic vectors of the matrix 16. Integrate (i) x Sin x etc.

IGNOU BECE-15 (July 2020 - January 2021) Assignment Questions

IGNOU BECE-15 (July 2021 - January 2022) Assignment Questions

IGNOU BECE-15 (July 2020 - January 2021) Assignment Questions

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