Mathematics [MA Entrance]

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â–ºMathematical Methods for Economics

â–ºStatistical Methods for Economics

â–ºMicro Economics

â–ºMacro Economics

â–ºEconometrics

â–ºDevelopment Economics

â–ºInternational Economics

â–ºIndian Economy

MA Economics Entrance

Join Online Video Classes by Prime Academy for MA Economics Entrance Examination. The Video Classes are prepared by Mr. Dheeraj Suri, an expert faculty teaching Economics for over 20 years.

The Mathematical Methods Course for MA Economics Entrance, has been taught by Mr. Dheeraj Suri. The Video Lectures are designed to cover the topics of MA Economics Entrance Exhaustively. The Duration of Video Lectures is approximately 100 Hours.

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Chapter-1a-Inequalities

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1 / 10

In how many ways can 11 players be chosen out of 15 if a particular player is never chosen :

2 / 10

In how many ways can 11 players be chosen out of 15 if a particular player is always chosen :

3 / 10

A committee of 5 is to selected from among 6 boys and 5 girls. Determine the number of ways of selection if the committee is to consist of at least one boy and one girl?

4 / 10

A cricket team of 11 players is to be selected from 16 players including 5 bowlers and 2 wicket keepers. In how many ways can a team be selected so as to consist of exactly 3 bowlers and one wicket keeper?

5 / 10

A box contains two white balls, three black balls, and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

6 / 10

A candidate is required to answer 7 questions out of 12 questions which are divided into two groups of 6 questions each. He is not permitted to attempt more than 5 questions from either group. In how many ways can he choose 7 questions?

7 / 10

From a class of 25 students, 10 are to be chosen for an excursion. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can they be chosen ?

8 / 10

A certain club consists of 5 men and 5 women. A 5-member committee consisting of 2 men and 3 women has to be constituted. Also, suppose that Mrs. F refuses to work with Mr. M.

How many ways are there of constituting a 5-member committee that ensures that both of them do not work together?

9 / 10

A certain club consists of 5 men and 5 women. A 5 member committee consisting of 2 men and 3 women has to be constituted. How many ways are there of constituting this committee?

10 / 10

A committee consisting of 3 men and 2 women is to be formed out of 6 men and 4 women. In how many ways this can be done if Mr. X and Mrs. Y are not to be included together?

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Course Content of our Video Lectures

Chapter 1 : Basic Topics [300 Minutes]

Number of Lectures   8 Lectures

Total Duration   300 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºInequalities, Intervals & Absolute Value

â–ºPermutations & Combinations

â–ºArithmetic & Geometric Progressions

â–ºMathematical Logic

Chapter 2 : Cartesian Geometry [150 Minutes]

Number of Lectures   4 Lectures

Total Duration   150 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºDistance Formula, Section Formula,

â–ºEquation of Straight Line,

â–ºEquation of Circle,

â–ºEquation of Parabola,

â–ºEquation of Hyperbola

Chapter 3 : Sets & Relation [110 Minutes]

Number of Lectures   4 Lectures

Total Duration   110 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºSets Introduction

â–ºOperations on Sets

â–ºConvex Sets, Cartesian Product of Sets

â–ºCartesian Product of Sets

â–ºRelations

Chapter 4 : Functions [500 Minutes]

Number of Lectures   12 Lectures

Total Duration   500 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºFunctions Introduction, Domain & Range of Functions,

â–ºInjection, Surjection, Bijection,

â–ºLinear Functions, Quadratic Functions, Power Function, Greatest Integer Function, Modulus Function, Rational Function, Signum Function, Exponential Function, Logarithmic Function, Inverse Function,

â–ºGraph of Functions,

â–ºEconomic Applications of Functions,

â–ºEconomic Applications of Exponential Functions,

â–ºTrigonometric Functions

â–ºPolynomials

Chapter 5 : Limits & Continuity [452 Minutes]

Number of Lectures   9 Lectures

Total Duration   452 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºLimits Introduction, Special Limits,

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

â–ºSequences & Infinite Series, Convergence & Divergence,

â–ºPresent Value,

â–ºOne Sided Limits, Continuity

Chapter 6 : Simple Differentiation [134 Minutes]

Number of Lectures   4 Lectures

Total Duration   134 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºDifferentiability

â–ºProduct Rule, Quotient Rule, Chain Rule

â–ºImplicit Differentiation, Logarithmic Differentiation,

â–ºParametric Differentiation,

â–ºHigher Order Derivatives

Chapter 7 : Applications of Derivatives [940 Minutes]

Number of Lectures   22 Lectures

Total Duration   940 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºRolle’s Theorem, Mean Value Theorem, Intermediate Value Theorem,

â–ºDerivatives as a rate of change, Equilibrium Point,

â–ºLinear Approximation, Quadratic Approximation, Polynomial Approximation, Taylors Theorem, Newtons Binomial Formula,

â–ºEquation of Tangents & Normal,

â–ºMonotonic Functions,

â–ºCurvature, Jensen’s Inequality

â–ºExtreme Value Theorem,

â–ºAbsolute Maximum & Minimum, Local Maxima & Local Minima

â–ºGlobal Maxima & Global Minima

â–ºAsymptotes, Horizontal, Vertical & Oblique Asymptotes

â–ºCurve Sketching

â–ºEconomic Applications,

â–ºCost Functions, Revenue Functions,

â–ºElasticity of Functions,

â–ºElasticity of Demand, Elasticity of Supply, Elasticity of Cost,

â–ºCost Minimization, Revenue Maximization, Profit Maximization,

â–ºEffect of Tax and Subsidy,

Chapter 8 : Partial Derivatives [940 Minutes]

Number of Lectures   21 Lectures

Total Duration   940 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºDomain of Functions,

Chapter 9 : Multivariate Optimization [394 Minutes]

Number of Lectures   7 Lectures

Total Duration   394 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºExtreme Value Theorem,

Chapter 10 : Constraint Optimization [304 Minutes]

Number of Lectures   8 Lectures

Total Duration   307 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºLagrange Multipliers,

Chapter 11 : Integration [284 Minutes]

Number of Lectures   9 Lectures

Total Duration   284 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºIndefinite Integration,

â–ºDefinite Integration,

â–ºProperties of Definite Integration,

â–ºArea Under the Curve,

â–ºEconomic Applications of Integration,

â–ºEconomic Applications of Area Under the Curve,

â–ºPresent Discounted Value,

â–ºGaussian Error Function,

Chapter 12 : Differential Equations [115 Minutes]

Number of Lectures   5 Lectures

Total Duration   115 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºFormulation of Differential Equations,

â–ºSolution of Differential Equations,

â–ºEquations with Variables Separable,

â–ºHomogeneous Differential Equations,

â–ºLinear Differential Equations,

â–ºBernoulli’s Equations,

Chapter 13 : Difference Equations [74 Minutes]

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

â–ºDifference Equations Introduction,

â–ºSolution of Difference Equations,

â–ºEquilibrium of Difference Equations,

Chapter 14 : Vector Algebra [396 Minutes]

Number of Lectures   8 Lectures

Total Duration   396 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºVectors Introduction, Types of Vectors, Operations on Vectors, Geometrical Representation of Vectors

â–ºScalar or Dot Product of Vectors, Properties of Dot Product of Vectors, Triangle’s Law of Addition, Orthogonality,

â–ºCauchy Schwarz Inequality, Triangular Inequality,

â–ºLinear Combination of Vectors,

â–ºConvex Combination of Vectors,

â–ºLinearly dependent & Independent Vectors,

â–ºParametric & Vector Equation of a Straight Line & of a Plane,

Chapter 15 : Matrices & Determinants [609 Minutes]

Number of Lectures   13 Lectures

Total Duration   609 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

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

â–ºTranspose of a matrix, Symmetric, Skew Symmetric & Orthogonal Matrices,

â–ºMarkov Brand Switching

â–ºDeterminants, Properties of Determinants,

â–ºRank of a Matrix,

â–ºSolution of System of Linear Equations by Matrix Inversion Method,

â–ºSolution of System of Linear Equations by Determinant Method (Cramer’s Rule),

â–ºSolution of System of Linear Equations by Rank Criterion,

â–ºSolution of Homogeneous Equations,

â–ºDegrees of Freedom & Superfluous Equations,

â–ºLeontief Input Output Model,

Chapter 16 : Linear Programming [180 Minutes]

Number of Lectures   5 Lectures

Total Duration   180 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºFormulation of LPP,

â–ºSolution of LPP by Graphical Method,

â–ºDuality,

â–ºEconomic Applications of LPP,

Chapter 17 : Mathematics of Finance [391 Minutes]

Number of Lectures   11 Lectures

Total Duration   391 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Topics Covered

â–ºSimple Interest,

â–ºCompound Interest,

â–ºEffective Rate of Interest,

â–ºAnnuity, Present Value & Future Value of Annuity,

â–ºAmortization,

â–ºPrice of Bonds,

â–ºNPV & IRR,

Use the following Links for Past Year Papers of DSE, ISI, JNU etc.

Delhi School of Economics
DSE
Indian Statistical Institute
ISI
Jawahar Lal Nehru University
JNU

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