MME I

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Mathematical Methods for Economics for Economics (H) Semester I, University of Delhi

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The Mathematical Methods for Economics – I Course for BA (Hons) Economics Semester I, 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.

Course Fee : Rs. 6000

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  • Full Course Video Lectures
  • Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions
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  • Live online Doubts Sessions for resolution of Doubts
  • Mock Tests at the Website
  • Video Lectures Cover Theory Portions Exchaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals

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Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of the Semester Exams

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Demo Lectures

MME – I Course Introduction
Convex Sets

Asymptotes

Demo PDF of Study Material

Chapter-1-Inequalities

Exam Pattern

The Question Paper of Marks Will Have

Part

Part

Course Content of Our Video Lectures

Chapter 1 : Inequalities [150 Minutes]

Based Upon Hammond Chapter 1

Number of Lectures   5 Lectures

Total Duration   150 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Inequalities,

►Intervals,

►Absolute Value,

Chapter 2 : Logic & Proof [74 Minutes]

Based Upon Hammond Chapter 1

Number of Lectures   2 Lectures

Total Duration   74 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Proposition, Implication, Bi implication,

►Necessary & Sufficient Conditions,

►Direct Proof, Indirect Proof, Proof by contradiction,

Chapter 3 : Induction [50 Minutes]

Based Upon Hammond Chapter 1

Number of Lectures   1 Lectures

Total Duration   50 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Deductive and Inductive Reasoning

Chapter 4 : Cartesian Geometry [134 Minutes]

Based Upon Hammond Chapter

Number of Lectures   3 Lectures

Total Duration   134 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Distance Formula, Section Formula,

►Equation of Straight Line,

►Equation of Circle,

►Equation of Parabola,

►Equation of Hyperbola

Chapter 5 : Sets, Relations & Functions [512 Minutes]

Based Upon Hammond Chapter

Number of Lectures   15 Lectures

Total Duration   512 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Sets Introduction, Operations on Sets, Convex Sets, Cartesian Product of Sets,

►Relations,

►Functions Introduction, Domain & Range of Functions,

►Injection, Surjection, Bijection,

►Linear Functions, Quadratic Functions, Power Function, Greatest Integer Function, Modulus Function, Rational Function, Signum Function, Exponential Function, Logarithmic Function, Inverse Function,

►Graph of Functions,

►Economic Applications of Functions,

►Economic Applications of Exponential Functions,

►Polynomials

Chapter 6 : Limits & Continuity [465 Minutes]

Based Upon Hammond Chapter

Number of Lectures   10 Lectures

Total Duration   465 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Limits Introduction, Special Limits,

L’Hôpital’s Rule, Limits at Infinity,

►Sequences & Infinite Series, Convergence & Divergence,

►Present Value,

►One Sided Limits, Continuity

Chapter 7 : Simple Differentiation [169 Minutes]

Based Upon Hammond Chapter

Number of Lectures   5 Lectures

Total Duration   169 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Differentiability, Newton Quotient

►Product Rule, Quotient Rule, Chain Rule

►Implicit Differentiation, Higher Order Derivatives

Chapter 8 : Applications of Derivatives [433 Minutes]

Based Upon Hammond Chapter

Number of Lectures   11 Lectures

Total Duration   433 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Rolle’s Theorem, Mean Value Theorem, Intermediate Value Theorem,

►Derivatives as a rate of change, Equilibrium Point,

►Linear Approximation, Quadratic Approximation, Polynomial Approximation, Taylors Theorem, Newtons Binomial Formula,

►Equation of Tangents & Normal,

►Monotonic Functions,

►Curvature, Jensen’s Inequality

Chapter 9 : Single Variable Optimization [490 Minutes]

Based Upon Hammond Chapter

Number of Lectures   14 Lectures

Total Duration   490 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Extreme Value Theorem,

►Absolute Maximum & Minimum, Local Maxima & Local Minima

►Global Maxima & Global Minima

►Asymptotes, Horizontal, Vertical & Oblique Asymptotes

►Curve Sketching

►Economic Applications,

►Cost Functions, Revenue Functions,

►Elasticity of Functions,

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

►Cost Minimization, Revenue Maximization, Profit Maximization,

►Effect of Tax and Subsidy,

Chapter 10 : Vectors Algebra [490 Minutes]

Based Upon Hammond Chapter 12 & 14

Number of Lectures   10 Lectures

Total Duration   490 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

►Vectors Introduction, Types of Vectors, Operations on Vectors, Geometrical Representation of Vectors

►Scalar or Dot Product of Vectors, Properties of Dot Product of Vectors, Triangle’s Law of Addition, Orthogonality

►Cauchy Schwarz Inequality, Triangular Inequality,

►Linear Combination of Vectors,

►Linearly Dependent & Independent Vectors,

►Convex Combination of Vectors

►Parametric and Vector Equation of Straight Line and Plane

Chapter 11 : Matrix Algebra [630 Minutes]

Based Upon Hammond Chapter 12, 13 & 14

Number of Lectures   14 Lectures

Total Duration   630 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

Matrix Introduction, Types of Matrices, Addition & Multiplication of Matrices, Square of a Matrix, Idempotent Matrix, Involutory Matrix, Nilpotent Matrix,

►Transpose of a matrix, Symmetric, Skew Symmetric & Orthogonal Matrices,

►Markov Brand Switching Model,

►Determinants, Properties of Determinants

►Rank of a Matrix,

►Solution of System of Linear Equations by Matrix Inversion Method,

►Solution of System of Linear Equations by Determinant Method (Cramer’s Rule),

►Solution of System of Linear Equations by Rank Criterion,

►Homogeneous Equations, Degrees of Freedom, Superfluous Equations,

►Leontief Input Output Model

[ MME – I ] Demo Test

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Time Allowed for this Test is 10 Minutes

Time Allowed for this Test is 10 Minutes


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

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

2 / 10

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

3 / 10

Rolle’s Theorem tells about the

4 / 10

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

5 / 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

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 is a special case of

8 / 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

9 / 10

Rolle’s theorem is applicable to the

10 / 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)

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[ MME – I ] Syllabus as Prescribed by DU

Eco Sem 1
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Eco Sem III
Eco Sem IV
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