Introductory Mathematical Methods for Economics (ECON 002)

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►Introductory Micro Economics

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►Introductory Statistics for Economics

►GE Calculus

►GE Statistical Methods

The Introductory Mathematical Methods for Economics (ECON 002) Course for BA (Hons) Economics Semester I, UGCF 2022, 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:

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Android Phone or Tablet, or

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till end of Semester I Exams.

Course Fee for Introductory MME : Rs. 6,000

Fee Structure for Semester 1 :

	Single Device	Two Devices
Single Subject	Rs. 6000	Rs. 10,000
Two Subjects	Rs. 11,500	Rs. 19,000
Three Subjects	Rs. 16,500	Rs. 27,000
Four Subjects	Rs. 21,000	Rs. 35,000

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►Mock Tests at the Website for regular assessment and progress tracking

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►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.

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Demo Quiz

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Time Allowed for this Test is 10 Minutes

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Mean Value Theorem Test #1

1. Please Read the Questions and all the options Carefully, Before Selecting Your Choice.
2. You are not Allowed to edit your answers after submission.
3. The Paper has ten Questions
4. Time Allowed is 10 Minutes.
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1 / 10

Rolle’s Theorem is a special case of

Lebniz Theorem

Mean Value Theorem

Taylor Series of a function

Leibnitz Theorem

2 / 10

f (x) is differentiable for every x belongs to R and has two roots.

f '(x) may have one root

f ' x) must have at least one root

f '(x) may has no real root

None of the above

3 / 10

f(x) = ln (x^2 + 2). Find the point c belongs to (-1, 1) such that tangent at c is parallel to chord joining the point (-1, ln3) and (1, ln3)

c = -1

c = 1

c = 0

c = e

4 / 10

Find the value of ‘a’ if f(x) = ax²+ 32x + 4 is continuous over [-4, 0] and differentiable over (-4, 0) and satisfy the Rolle’s theorem. Hence find the point ‘c’ in interval (-4,0) at which its slope of a tangent is zero

a = 2, c = -2

a = 2, c = -1

a = 8, c = -1

a = 8, c = -2

5 / 10

Rolle’s Theorem tells about the

Existence of point c where derivative of a function becomes zero

Existence of point c where derivative of a function is positive

Existence of point c where derivative of a function is negative

Existence of point c where derivative of a function is either positive or negative

6 / 10

Find the value of c if f(x) = x(x-3)e^3x, is continuous over interval [0,3] and differentiable over interval (0, 3) and c ∈ (0,3)

0.369

2.703

7 / 10

Geometrically the mean value theorem ensures that there is at least one point on the curve f(x), whose abscissa lies in (a, b) at which the tangent is

parallel to the x axis

parallel to the y axis

parallel to the line joining the end points of the curve

parallel to the line joining y = mx

8 / 10

f(x) = |x| defined on [-1, 1]

Rolle's theorem is applicable in the given interval

Rolle's theorem is not applicable, as f(x) is not continuous in [-1, 1]

Rolle's theorem is not applicable, as f(x) is not differentiable in (-1, 1)

Rolle's theorem is not applicable, as f(-1) is not equal to f(1)

9 / 10

f (x) = ln(10 – x²), x = [-3, 3], find the point in interval [-3, 3] where slope of a tangent is zero,

Rolle’s Theorem is not applied, because function is not continuous in interval [-3,3]

Rolle’s Theorem is not applied, because function is not differential in interval (-3,3)

10 / 10

Rolle’s theorem is applicable to the

Functions differentiable in closed interval [a, b] and continuous in open interval (a, b) only and having same value at point ‘a’ and ‘b’

Functions continuous in closed interval [a, b] only and having same value at point ‘a’ and ‘b’

Functions continuous in closed interval [a, b] and differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’

Monotonically Increasing functions

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Reading List

Click Here for Reading List of Introductory Mathematical Methods for for Economics

►Sydsaeter, K., Hammond, P. (2002). Mathematics for economic analysis. Pearson Education.

Demo Lectures for Introductory Mathematical Methods for Economics (MME)

Course Introduction

Chapter 1 : Preliminaries

Introductory MME Class #1

Introductory MME Class #2

Introductory MME Class #3

Introductory MME Class #4

Convex Sets

Chapter 4 : Limits, Continuity & Series

Asymptotes

Previous Year Question Papers : PYQ’s

Implications Previous Year Questions

Question Paper 2023 Q1(a) Solution

These Lectures are Only for Demo.

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Exam Pattern

The End Semester Question Paper will be of 90 Marks

The assessment process comprises three distinct parts, and the ensuing pattern will be adhered to:

1. Internal Assessment (IA) : 30 Marks

►Two class test (12 marks each), and
► 6 marks for attendance

2. Continuous Assessment (CA) : 40 Marks

► 1 Problem Solving for 10 marks

► At least 2 quizzes/assignments, adding up to total 25 marks.
► 5 Marks for attendance.

3. The end semester exam: 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.
► The exam-setter should meet the department moderators before setting the exam in order to discuss the pattern of questions and leave ample time for moderation after the draft exam is prepared.

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Course Content of Our Video Lectures

The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2024- 25

Unit – I : Preliminaries

Chapter 1 : Preliminaries

Duration of Lectures : 379 Minutes

Number of Lectures : 11

Based Upon Hammond Chapter 1

Topics Covered

►Real Numbers, Natural Numbers, Integers, Rational Numbers, Irrational Numbers

►Intervals, Inequalities, Sign Diagram,

►Inequalities, Absolute Value

►Linear Inequalities in Two Variables.

►Proposition, Propositional Connectives, Implication, Bi implication, Necessary & Sufficient Conditions, Truth Tables

►Direct Proof, Indirect Proof, Proof by contradiction,

►Deductive and Inductive Reasoning

►Sets Introduction, Operations on Sets,

►Convex Sets,

►Cartesian Product of Sets,

►Relations,

Unit – 2 : Functions of One Real Variable

Chapter 2 : Functions of One Variable

Duration of Lectures : 452 Minutes

Number of Lectures : 10

Based Upon Hammond Chapter 2

Topics Covered

►Distance Formula, Section Formula, Area of a Triangle, Slope of a Line, Equation of a Line, Equation of Circle,

►Equation of Circle, Equation of Parabola,

►Rectangular Hyperbola

►Functions Introduction,

►Injection, Surjection, Bijection,

►Domain & Range of Functions,

►Linear and Quadratic Functions,

►Greatest Integer Function, Modulus Function, Rational Function, Signum Function,

►Graph of a Function,

►Inverse of a Function,

Chapter 3 : Polynomials, Powers & Exponentials

Duration of Lectures : 399 Minutes

Number of Lectures : 7

Based Upon Hammond Chapter 3

Topics Covered

►Quadratic Functions,

►Quadratic Optimization,

►Polynomials,

►Power Functions,

►Economic Application of Functions,

►Exponential & Logarithmic Functions,

►Applications of Exponential & Logarithmic Functions,

Chapter 4 : Single Variable Differentiation

Duration of Lectures : 170 Minutes

Number of Lectures : 5

Based Upon Hammond Chapter 4

Topics Covered

►Slope of Tangent to Curve & Differentiation, Newton Quotient,

►Simple Differentiation,

►Rates of change and their economic significance,

►A Dash of Limits,

►Second & Higher Order Derivatives,

Chapter 5 : More on Differentiation

Duration of Lectures : 290 Minutes

Number of Lectures : 8

Based Upon Hammond Chapter 5

Topics Covered

►Generalized Power Rule,

►Chain Rule,

►Implicit Differentiation,

►Linear Approximation,

►Polynomial Approximation,

►Taylors Rule, Newton Binomial Formula

►Elasticity of Functions,

►Elasticity of Demand, Elasticity of Supply, Elasticity of Cost,

Chapter 6 : Limits, Continuity & Series

Duration of Lectures : 575 Minutes

Number of Lectures : 12

Based Upon Hammond Chapter 6

Topics Covered

►Limits Introduction,

►Special Limits,

►Logarithmic Limits,

►L’Hôpital’s Rule, Limits at Infinity,

►Sequences & Infinite Series, Convergence & Divergence,

►Present Value,

►Asymptotes, Horizontal Asymptotes, Vertical Asymptotes & Oblique Asymptotes

►One Sided Limits,

►Continuity,

►Differentiability

Chapter 7 : Implications of Continuity & Differentiability

Duration of Lectures : 280 Minutes

Number of Lectures : 7

Based Upon Hammond Chapter 7

Topics Covered

►Intermediate Value Theorem,

►Extreme Value Theorem,

►Mean Value Theorem,

►Monotonic Functions,

►Equation of a Tangent and Normal,

►Taylor’s Formula & Newton Binomial Formula,

►Inverse Functions,

Chapter 8 : Exponential & Logarithmic Functions [330 Minutes]

Duration of Lectures : 330 Minutes

Number of Lectures : 9

Based Upon Hammond Chapter 8

Topics Covered

►The Natural Exponential Function,

►The Natural Logarithmic Function,

►Logarithmic Differentiation,

►Differentiation of Infinite Series,

►Parametric Differentiation,

►Generalizations,

►Applications of Exponentials & Logarithms,

►Compound Interest & Present Discounted Value,

Unit – 3 : Single Variable Optimization

Chapter 9 : Single Variable Optimization

Duration of Lectures : 520 Minutes

Number of Lectures : 14

Based Upon Hammond Chapter 9

Topics Covered

►Extreme Value Theorem,

►Absolute Maximum & Minimum,

►Local Maxima & Minima,

►Global Maximum & Minimum,

►Curvature,

►Jensen’s Inequality,

►Curve Sketching,

►Economic Applications of Maxima & Minima,

►Cost Functions, Revenue Functions,

►Cost Minimization, Revenue Maximization, Profit Maximization,

►Effect of Tax and Subsidy,

End of Syllabus

Eco Sem 1

Eco Sem II

Eco Sem III

Eco Sem IV

Eco Sem V

Eco Sem VI

Introductory Mathematical Methods for Economics (ECON 002)

Welcome to Prime Academy

We provide Best Online Coaching for Introductory Mathematical Methods for Economics [ECON 002] for Economics (H) Semester I, University of Delhi, 2024

For getting access of recorded video lectures of