MEC-203 EM 2025-26 SOLVED ASSIGNMENT

Description

MASTER OF ARTS
(ECONOMICS)
ASSIGNMENTS 2025-26
First Semester Courses
(For July 2025 and January 2026 Sessions)

MEC 203: QUANTITATIVE METHODS

Tutor Marked Assignments

Course Code: MEC-203

Assignment Code: Asst /TMA /2025-26

Total Marks: 100 PART I Answer the following questions. Each question carries 20 marks 2 × 20 = 40

1.a) Explain Taylor’s theorem to polynomial expansion.

b) Using Taylor’s approach, find Taylor’s series expansion for the function: f(x,y,z)=x,y,z around the point (1,1,1)

2.Given the input matrix and the final demand vector:

a) Explain the economic meaning of the elements 0.30,0 and 200

b) Explain the economic meaning of (if any) of the third column sum

c) Explain the economic meaning of (if any) of the third row sum

d) Write out the specific input-output matrix equation for this model

e) Find the solution output levels of the three industries using Cramer’s rule.

PART II Answer the following questions. Each question carries 12 marks. 6 X 12=60

3.a) What are isoperimetric problems?

b) Find the extremal for the functional

4.a) Discuss the features of chi square, t and f test? b) x1,x2…xn is a random sample from a Normal population N(µ,1). Show that

5.Consider the following simple problem:

6.Examine the following functions for maxima and minima: a) 𝑧=−𝑥²+𝑥𝑦−𝑦²+𝑥+5𝑦

b) 𝑦=𝑥³−2𝑥²+𝑥−6

7.Write short notes on following

: e) Euler-Lagrange equation

f) Central Limit theorem

g) Hamiltonian function

h) Cramer –Rao inequality