Mathematics [MA Entrance]

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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

►Inequalities, Intervals & Absolute Value

►Permutations & Combinations

►Arithmetic & Geometric Progressions

►Mathematical 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

►Distance Formula, Section Formula,

►Equation of Straight Line,

►Equation of Circle,

►Equation of Parabola,

►Equation 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

►Sets Introduction

►Operations on Sets

►Convex Sets, Cartesian Product of Sets

►Cartesian Product of Sets

►Relations

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

►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,

►Trigonometric Functions

►Polynomials

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

►Limits Introduction, Special Limits,

L’Hôpital’s Rule, Limits at Infinity,

►Sequences & Infinite Series, Convergence & Divergence,

►Present Value,

►One 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

►Differentiability

►Product Rule, Quotient Rule, Chain Rule

►Implicit Differentiation, Logarithmic Differentiation,

►Parametric Differentiation,

►Higher 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

►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

►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 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

►Domain 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

►Extreme 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

►Lagrange 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

►Indefinite Integration,

►Definite Integration,

►Properties of Definite Integration,

►Area Under the Curve,

►Economic Applications of Integration,

►Economic Applications of Area Under the Curve,

►Present Discounted Value,

►Gaussian 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

►Formulation of Differential Equations,

►Solution of Differential Equations,

►Equations with Variables Separable,

Homogeneous Differential Equations,

►Linear Differential Equations,

►Bernoulli’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

►Difference Equations Introduction,

►Solution of Difference Equations,

►Equilibrium 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

►Vectors Introduction,

►Dot Product of Vectors,

►Linear Combination of Vectors,

►Convex Combination of Vectors,

►Linearly dependent & Independent Vectors,

►Equation of a Straight Line & Equation of 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

►Matrices Introduction, Transpose of a Matrix,

►Determinants,

►Rank of a Matrix,

►Solution of Equations by Matrix Inversion Method,

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

►Solution of Equations by Rank Criterion,

►Solution of Homogeneous Equations,

►Degrees of Freedom & Superfluous Equations,

►Leontief 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

►Formulation of LPP,

►Solution of LPP by Graphical Method,

►Duality,

►Economic 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

►Simple Interest,

►Compound Interest,

►Effective Rate of Interest,

►Annuity, Present Value & Future Value of Annuity,

►Amortization,

►Price of Bonds,

►NPV & IRR,

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