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Join ** Online Video Classes** by

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**MA Economics Entrance Examination**. The Video Classes are prepared by

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**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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**Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of the MA Economics Entrance Exams**

**Demo Lectures**

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Chapter-1a-Inequalities
**Demo Mock Test**

**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**

**►Inequalities, Intervals & Absolute Value**

**►Permutations & Combinations**

**►Permutations & Combinations**

**►Arithmetic & Geometric Progressions **

**►Arithmetic & Geometric Progressions**

**►Mathematical Logic **

**►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,**

**►Distance Formula, Section Formula,**

**►Equation of Straight Line,**

**►Equation of Straight Line,**

**►Equation of Circle, **

**►Equation of Circle,**

**►Equation of Parabola, **

**►Equation of Parabola,**

**►Equation of Hyperbola **

**►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**

**►Sets Introduction**

**►Operations on Sets **

**►Operations on Sets**

**►Convex Sets, Cartesian Product of Sets **

**►Convex Sets, Cartesian Product of Sets**

**►Cartesian Product of Sets **

**►Cartesian Product of Sets**

**►Relations**

**►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, **

**►Functions Introduction, Domain & Range of Functions,**

**►Injection, Surjection, Bijection, **

**►Injection, Surjection, Bijection,**

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

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

**►Graph of Functions,**

**►Graph of Functions,**

**►Economic Applications of Functions,**

**►Economic Applications of Functions,**

**►Economic Applications of Exponential Functions,**

**►Economic Applications of Exponential Functions,**

**►Trigonometric Functions**

**►Trigonometric Functions**

**►Polynomials**

**►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,**

**►Limits Introduction, Special Limits,**

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

**►**, Limits at Infinity,

**L’Hôpital’s Rule****►Sequences & Infinite Series, Convergence & Divergence, **

**►Sequences & Infinite Series, Convergence & Divergence,**

**►Present Value, **

**►Present Value,**

**►One Sided Limits, Continuity **

**►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**

**►Differentiability**

**►Product Rule, Quotient Rule, Chain Rule**

**►Product Rule, Quotient Rule, Chain Rule**

**►Implicit Differentiation, Logarithmic Differentiation, **

**►Implicit Differentiation, Logarithmic Differentiation,**

**►Parametric Differentiation,**

**►Parametric Differentiation,**

**►Higher Order Derivatives **

**►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,**

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

**►Derivatives as a rate of change, Equilibrium Point,**

**►Derivatives as a rate of change, Equilibrium Point,**

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

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

**►Equation of Tangents & Normal, **

**►Equation of Tangents & Normal,**

**►Monotonic Functions,**

**►Monotonic Functions,**

**►Curvature, Jensen’s Inequality**

**►Curvature, Jensen’s Inequality**

**►Extreme Value Theorem,**

**►Extreme Value Theorem,**

**►Absolute Maximum & Minimum, Local Maxima & Local Minima**

**►Absolute Maximum & Minimum, Local Maxima & Local Minima**

**►Global Maxima & Global Minima **

**►Global Maxima & Global Minima**

**►Asymptotes, Horizontal, Vertical & Oblique Asymptotes **

**►Asymptotes, Horizontal, Vertical & Oblique Asymptotes**

**►Curve Sketching **

**►Curve Sketching**

**►Economic Applications, **

**►Economic Applications,**

**►Cost Functions, Revenue Functions, **

**►Cost Functions, Revenue Functions,**

**►Elasticity of Functions, **

**►Elasticity of Functions,**

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

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

**►Cost Minimization, Revenue Maximization, Profit Maximization, **

**►Cost Minimization, Revenue Maximization, Profit Maximization,**

**►Effect of Tax and Subsidy, **

**►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,**

**►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,**

**►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,**

**►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,**

**►Indefinite Integration,**

**►Definite Integration,**

**►Definite Integration,**

**►Properties of Definite Integration,**

**►Properties of Definite Integration,**

**►Area Under the Curve,**

**►Area Under the Curve,**

**►Economic Applications of Integration,**

**►Economic Applications of Integration,**

**►Economic Applications of Area Under the Curve,**

**►Economic Applications of Area Under the Curve,**

**►Present Discounted Value,**

**►Present Discounted Value,**

**►Gaussian Error Function,**

**►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,**

**►Formulation of Differential Equations,**

**►Solution of Differential Equations,**

**►Solution of Differential Equations,**

**►Equations with Variables Separable,**

**►Equations with Variables Separable,**

**►****Homogeneous Differential Equations,**

**Homogeneous Differential Equations,**

**►Linear Differential Equations,**

**►Linear Differential Equations,**

**►Bernoulli’s 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,**

**►Difference Equations Introduction,**

**►Solution of Difference Equations,**

**►Solution of Difference Equations,**

**►Equilibrium 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, ****Types of Vectors, Operations on Vectors, Geometrical Representation of Vectors**

**►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**,

**►**

**,****Scalar or Dot Product of Vectors, Properties of Dot Product of Vectors, Triangle’s Law of Addition, Orthogonality****►Cauchy Schwarz Inequality, Triangular Inequality, **

**►Cauchy Schwarz Inequality, Triangular Inequality,**

**►Linear Combination of Vectors,**

**►Linear Combination of Vectors,**

**►Convex Combination of Vectors,**

**►Convex Combination of Vectors,**

**►Linearly dependent & Independent Vectors,**

**►Linearly dependent & Independent Vectors,**

**►Parametric & Vector Equation of a Straight Line & of a Plane,**

**►Parametric & 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**

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

**►**

**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,**

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

**►Markov Brand Switching **

**►Markov Brand Switching**

**►Determinants, Properties of Determinants,**

**►Determinants, Properties of Determinants,**

**►Rank of a Matrix,**

**►Rank of a Matrix,**

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

**►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 Determinant Method (Cramer’s Rule),**

**►Solution of System of Linear Equations by Rank Criterion,**

**►Solution of System of Linear Equations by Rank Criterion,**

**►Solution of Homogeneous Equations,**

**►Solution of Homogeneous Equations,**

**►Degrees of Freedom & Superfluous Equations,**

**►Degrees of Freedom & Superfluous Equations,**

**►Leontief Input Output Model,**

**►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,**

**►Formulation of LPP,**

**►Solution of LPP by Graphical Method,**

**►Solution of LPP by Graphical Method,**

**►Duality,**

**►Duality,**

**►Economic Applications of LPP,**

**►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,**

**►Simple Interest,**

**►Compound Interest,**

**►Compound Interest,**

**►Effective Rate of Interest,**

**►Effective Rate of Interest,**

**►Annuity, Present Value & Future Value of Annuity,**

**►Annuity, Present Value & Future Value of Annuity,**

**►Amortization,**

**►Amortization,**

**►Price of Bonds,**

**►Price of Bonds,**

**►NPV & IRR,**

**►NPV & IRR,**