MME I

Introductory Mathematical Methods for Economics (ECON 002)

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Introductory Mathematical Methods for Economics (ECON 002) for Economics (H) Semester I, UGCF 2022, University of Delhi

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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.

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  • Video Lectures Cover Theory Portions Exhaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals

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Demo Lectures

Introductory MME Class #1
Introductory MME Class #2
Introductory MME Class #3
Introductory MME Class #4
Implications Previous Year Questions
Convex Sets
Asymptotes

Exam Pattern

The Question Paper will be of 75 Marks

Examiners shall have wide latitude in deciding the examination for the course.

Each Unit of the course shall have 10-50% coverage in the final examination.

Demo Test

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Mean Value Theorem Test #1

1. Please Read the Questions and all the options Carefully, Before Selecting Your Choice.
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3. The Paper has ten Questions
4. Time Allowed is 10 Minutes.
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1 / 10

Rolle’s theorem is applicable to the

2 / 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

3 / 10

Rolle’s Theorem is a special case of

4 / 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

5 / 10

Find the value of c if f(x) = x(x-3)e3x, is continuous over interval [0,3] and differentiable over interval (0, 3) and c ∈ (0,3)

6 / 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)

7 / 10

Rolle’s Theorem tells about the

8 / 10

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

10 / 10

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

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The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2022

Course Content of Our Video Lectures

Chapter 1 : Preliminaries [379 Minutes]

Based Upon Hammond Chapter 1

Number of Lectures : 11 Lectures

Total Duration of Lectures : 379 Minutes

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,

Chapter 2 : Functions of One Variable [452 Minutes]

Based Upon Hammond Chapter 2

Number of Lectures : 10 Lectures

Total Duration of Lectures : 452 Minutes

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 [199 Minutes]

Based Upon Hammond Chapter 3

Number of Lectures : 7 Lectures

Total Duration of Lectures : 199 Minutes

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 [170 Minutes]

Based Upon Hammond Chapter 4

Number of Lectures : 5 Lectures

Total Duration of Lectures : 170 Minutes

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 [294 Minutes]

Based Upon Hammond Chapter 5

Number of Lectures : 8 Lectures

Total Duration of Lectures : 290 Minutes

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 [575 Minutes]

Based Upon Hammond Chapter 6

Number of Lectures : 12 Lectures

Total Duration of Lectures : 575 Minutes

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 [280 Minutes]

Based Upon Hammond Chapter 7

Number of Lectures : 7 Lectures

Total Duration of Lectures : 280 Minutes

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]

Based Upon Hammond Chapter 8

Number of Lectures : 9 Lectures

Total Duration of Lectures : 330 Minutes

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,

Chapter 9 : Single Variable Optimization [520 Minutes]

Based Upon Hammond Chapter 9

Number of Lectures : 14 Lectures

Total Duration of Lectures : 520 Minutes

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 Demo Test

[ MME – I ] Syllabus as Prescribed by DU

Eco Sem 1
Eco Sem II
Eco Sem III
Eco Sem IV
Eco Sem V
Eco Sem VI
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Eco Sem III
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Eco Sem V
Eco Sem VI
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