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BECC 102 Question Paper December 2025 - Mathematical Methods in Economics-I, IGNOU BAECH
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BECC 102 Question Paper December 2025 - Mathematical Methods in Economics-I, IGNOU BAECH

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Key Highlights of BECC 102 Solved Question Paper December 2025
BECC 102 Question Paper December 2025: Official IGNOU Term-End Examination paper for BAECH Mathematical Methods in Economics-I, December 2025 session.
100 marks, three hours, Section A requires any two questions of 20 marks each, Section B any four of 12 marks each, Section C both questions.
Solved paper covers numerical problems, calculus-based optimisation, difference equations, and theoretical economics with full step-wise working.
Topics include demand-supply time paths, profit maximisation, income elasticity, cobweb model, AP series, convex sets, and limit evaluation.
Prepared by Unnati Education's IGNOU-experienced academic content writer for IGNOU Bachelor of Arts Honours Economics December 2025 students.
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Course Overview

About This Solved Paper

Prepared byUnnati Education, IGNOU-experienced academic content writer
QualificationGraduate with specialisation in Mathematical Economics and Quantitative Methods
ProgrammeIGNOU Bachelor of Arts Honours Economics (BAECH)
Institution ReferenceIGNOU Term-End Examination December 2025

Mathematical Methods in Economics-I sits at the intersection of mathematics and economic theory. BECC-102 demands that you solve difference equations, compute consumer and producer surplus, find profit-maximising output levels, work with calculus, and understand algebraic structures like convex sets. Each question type needs a different approach, and under exam pressure, that variety can feel overwhelming. That is why having a solved paper built around the actual BECC 102 Question Paper December 2025 matters. Unnati Education prepares this resource specifically for IGNOU BAECH students who want structured, step-by-step solutions.

What is BECC-102 Question Paper December 2025?

The BECC-102 December 2025 question paper is the official IGNOU Term-End Examination for Mathematical Methods in Economics-I under the BAECH programme, carrying 100 marks with numerical, analytical, and theory-based questions across three structured sections.

This paper is challenging because it combines economic reasoning with mathematical rigour. You are not just applying formulas in isolation. The cobweb model question connects difference equations to market dynamics. The profit maximisation question combines cost functions with demand functions and tax adjustments. Consumer surplus requires integration with equilibrium analysis. Every question has layers, and that is exactly why the solved paper is built to show each layer clearly, so you understand the method rather than just copying the answer.

About IGNOU BECC-102 - Mathematical Methods in Economics

BECC-102 builds the quantitative foundation that economics students need for advanced analysis. Difference equations model how economic variables change over discrete time periods. The cobweb model is a classic application showing how price adjusts across market periods when there is a lag in supply response. Calculus topics include integration through partial fractions and optimisation through first and second order conditions. Consumer and producer surplus are measured using integration of demand and supply functions around the equilibrium point.

Coordinate geometry appears in questions on circles and parabolas. Present value and discounting are tested in financial mathematics questions involving annuities. Arithmetic progression problems test algebraic reasoning. Convex combination and convex sets bring in set theory applied to economic modelling. Most students find that the breadth of this syllabus requires methodical topic-by-topic preparation rather than a last-minute revision sweep.

BECC 102 Exam Pattern and Marks Breakdown

The paper carries 100 marks over three hours. Section A has four questions of 20 marks each and you must attempt any two. These are the heavy-weightage long-form questions covering dynamic economic models and optimisation. Section B has six questions of 12 marks each and you must attempt any four. These cover a broader range including geometry, proofs, AP series, present value, and convex sets. Section C has two compulsory questions of six marks each, covering limit evaluation and short conceptual explanations. Understanding this structure before you start revising helps you prioritise correctly.

All Questions - BECC 102 Question Paper December 2025 IGNOU (Complete List)

Section A - Answer any two questions from this Section. 2x20=40

Given the following demand and supply functions: Qd = 10 - 2Pt Qs = -5 + 3Pt-1 where Qd is quantity demanded; Qs is quantity supplied; P is price; and t is time period. Find: (a) the time path of price. (b) determine if the time path is stable, unstable or regular.

(a) The total cost function of a firm is: C(x) = x^3/3 - 5x^2 + 28x + 10, where x is the output. A tax at the rate of Rs. 2 per unit of output is imposed and the producer adds it to his cost. If the market demand function is given by P = 2530 - 5x, where P is price per unit of output, find: (i) the profit maximizing level of output x (ii) the equilibrium price (iii) maximum profit.

(b) The demand for furniture (x) is given as: x = 100 + 1.5 y, where y represents consumer income. Find income elasticity of demand when y = 10,000.

(a) Differentiate between homogeneous and non-homogeneous difference equations.

(b) Solve the following difference equation: y(t+1) - 3yt = 4.(3)^t

(a) Evaluate: Integral of [(x-1)(x-2)(x-3)] / [(x-4)(x-5)(x-6)] dx

(b) Given the demand function P = 20 - 5x and the supply function P = 4 + 3x, where P is price and x is quantity. Find: (i) Consumer surplus (ii) Producer surplus

Section B - Answer any four questions from this Section. 4x12=48

(a) Explain the following: (i) Theorem (ii) Proof

(b) Briefly discuss various types of proofs.

(a) Find the equation of the circle with centre (2, -3) and radius 5.

(b) Show that y^2 + 4x = -8 is a parabola.

(a) Briefly explain the concept of present value. How is it related to discounting principle?

(b) A firm has purchased an item on a fixed payment plan of Rs. 20,000 per year for 8 years. Payments are to be made at the beginning of each year. What is the present value of the total cash flow of payments for an interest rate of 20% per year?

Discuss the basic setup of the Cobweb model.

(a) If the 7th term of an A.P. is equal to its 11th term, show that the 18th term of the A.P. is zero.

(b) Find the 28th term from the end of the A.P.: 6, 9, 12, 15, 18, ..........., 102.

What do you understand by a convex combination? Use the concept of convex combination to explain the concept of a convex set.

Section C - Answer both the questions from this Section. 2x6=12

Evaluate the following limits: 2x3=6

(a) f(x) as x tends to infinity of (3x^2 + x - 1) / (x^2 + 1)

(b) Lt as x tends to 1 of (x - 1) / (2x^2 - 7x + 5)

Explain the following: (a) Phase diagrams (b) Order of a difference equation

BECC 102 Syllabus Topics Covered

This paper covers a rich range of mathematical economics topics. Dynamic market models through difference equations and the cobweb framework form the core. Calculus includes integration by partial fractions and welfare measurement through surplus analysis. Optimisation covers profit maximisation with cost functions under tax conditions. Elasticity is tested through income elasticity of demand. Coordinate geometry covers circles and parabolas. Financial mathematics tests present value and annuity calculations. Algebra spans AP series, convex combinations, and convex sets. Limits and phase diagrams complete the analytical coverage of the syllabus.

Sample Answer Preview - BECC 102 Mathematical Methods for Economics Solved Question Paper

Here is how the consumer surplus and producer surplus question should be structured. First, set the demand function equal to the supply function to find equilibrium price and quantity. With P = 20 - 5x and P = 4 + 3x, equating gives equilibrium at x = 2 and P = 10. Consumer surplus is the integral of the demand function from 0 to 2, minus the area of the rectangle at equilibrium price. Producer surplus is the rectangle area minus the integral of the supply function. The BECC-102 solved question paper shows this calculation step by step with integration limits, formula application, and the final surplus values clearly stated.

How to Write High-Scoring Answers in BECC 102 Question Paper December 2025

Here is the important part. Mathematical economics answers must show working at every stage. Write the formula before substituting values. Label each step clearly, especially in multi-part questions like profit maximisation where you need the first derivative, the second derivative check, and then substitution back into the demand function. For difference equations, state the complementary solution and the particular solution separately before combining them. For Section B theory questions, open with a definition, follow with an example or diagram, and close with a brief economic interpretation. Most students notice their scores improve significantly when they stop skipping intermediate steps.

Who Should Use This BECC-102 Solved Question Paper December 2025?

This solved paper is designed for IGNOU BAECH students appearing in the December 2025 Term-End Examination. Students who find the mathematical sections challenging but understand the economic logic will benefit from seeing how the two connect in each solved answer. Those who are strong in theory but weaker in computation will find the step-wise numerical solutions particularly valuable. Students from BAVMSME, BCOMF, or BAFEC programmes where BECC-102 is also a paper will find this material equally useful. Anyone repeating the paper will understand exactly where previous attempts fell short.

Why This is Better Than Free BECC-102 December 2025 Question Paper PDFs and Telegram Files

Free PDFs often provide final answers without showing the working that earns marks in IGNOU exams. A profit maximisation problem without the derivative steps, second-order condition check, and proper substitution will lose marks even if the final number is correct. Unnati Education's solved paper is built question by question from the actual December 2025 paper. Every calculation is shown. Every formula is stated. Every economic interpretation is written at the right length for the marks allocated. That distinction makes a direct difference in your result.

Student Reviews - BECC-102 Solved Question Paper by Unnati Education

"The cobweb model explanation was the clearest I had seen anywhere. The BECC-102 December 2025 solved paper covered the setup, the diagram, and the convergence condition all in one well-structured answer." — Vikram from Bhopal

"Consumer and producer surplus always confused me because of the integration steps. Unnati's solved paper showed the equilibrium calculation and the integration process separately, which made it so much easier to follow." — Prerna from Jaipur

"The difference equation solution with complementary and particular parts was laid out in a sequence I could actually replicate. Clear working, correct formulas, and good economic interpretation throughout." — Ananya from Kolkata

How to Get the BECC-102 Solved Question Paper December 2025 - Step by Step

Click the contact or order button on this page and share that you need the BECC-102 December 2025 solved question paper. The Unnati Education team will confirm your request and share payment details promptly. Once payment is confirmed, the complete solved paper with all numerical solutions, formula derivations, and theory answers is sent to you directly.

Frequently Asked Questions

What topics are covered in the BECC-102 Mathematical Methods in Economics syllabus?

BECC-102 covers difference equations including homogeneous and non-homogeneous types, cobweb model, profit maximisation using calculus, consumer and producer surplus through integration, income elasticity of demand, coordinate geometry involving circles and parabolas, present value and discounting, arithmetic progression, convex combination and convex sets, limit evaluation, phase diagrams, and order of difference equations. The paper spans both pure mathematical techniques and their direct applications in economic analysis and modelling.

What is the exam pattern for BECC-102 December 2025?

The paper carries 100 marks over three hours. Section A has four questions of 20 marks each and you attempt any two. Section B has six questions of 12 marks each and you attempt any four. Section C has two compulsory questions of six marks each covering limits and short concepts. The structure rewards students who prepare selectively but thoroughly, covering at least three Section A topics, five Section B topics, and all Section C concepts to have enough choice and coverage on exam day.

Is BECC-102 difficult for BA Economics students?

BECC-102 is one of the more challenging papers in the BAECH programme because it combines mathematical computation with economic interpretation. Students comfortable with calculus and algebra generally manage well. The difficulty lies in the dynamic models like difference equations and cobweb, and in multi-step problems like profit maximisation with tax. With a good solved paper that shows every step clearly, most students find they can prepare adequately within a focused revision period before the Term-End Examination.

How can I get the IGNOU BECC-102 solved question paper?

You can view the complete BECC-102 December 2025 question paper on this page. For fully solved answers with step-wise calculations, formula derivations, and economic interpretations, the solved paper is available from Unnati Education. Use the contact option on this page to place your request. The paper is delivered promptly after confirmation and is structured to be used directly for revision, formula practice, and exam answer writing preparation.

Does the solved paper cover Section A heavy-weightage questions fully?

Yes, the Unnati Education solved paper covers all Section A questions completely. Each 20-mark question is answered with the full working required to earn maximum marks. The time path of price, stability conditions, profit maximisation steps, surplus calculations, and difference equation solutions are all worked through in detail. The mark allocation guides the length of each answer, so you get a model that shows exactly how much to write for each part without under-explaining or padding unnecessarily.

About Unnati Education - IGNOU Study Material Experts

Unnati Education has built a reliable track record supporting IGNOU students across BAECH, BCA, CMAD, and several other programmes. We understand that mathematical economics papers require a very different preparation approach compared to purely descriptive subjects. Our writers are academically qualified in quantitative methods and familiar with IGNOU's examination expectations across sections and mark allocations. Every solved paper is prepared from the actual question paper of the specific session, checked for accuracy, and formatted so students can apply it directly in their preparation.

Explore More IGNOU BECC-102 Solved Papers and Study Material

Unnati Education offers solved papers from previous BECC-102 examination sessions for additional practice across varied question patterns. Assignment solutions for the current BAECH academic session are also available. Topic-wise notes covering difference equations, calculus applications, and economic modelling support students who want focused revision on specific weaker areas. Related solved papers for other BAECH subjects including BECC-101, BECC-103, and BECC-104 are also prepared with the same standard of academic rigour and IGNOU alignment.

Get Your BECC 102 Question Paper December 2025 Solved Paper Now

The question paper is right here on this page. Now get the solutions that help you understand the methods and write confidently in the exam. The BECC-102 December 2025 solved paper from Unnati Education covers every section with complete step-wise calculations, clear formula applications, and IGNOU-appropriate answer structures. Stop piecing together incomplete notes from multiple sources. Get the solved paper today and walk into your December 2025 examination fully prepared.

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