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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.**

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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****Online Discussion Forum to Post Your Queries to Discuss with Faculty & other fellow Students****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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**Demo Lectures**

**Demo Lectures****Demo PDF of Study Material**

Chapter-1-Inequalities

**Demo PDF of Study Material****Exam Pattern**

**The Question Paper of Marks Will Have **

**Part **

**Part**

**Course Content**** of Our ****Video Lectures**

**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,**

**►Inequalities,**

**►Intervals,**

**►Intervals,**

**►Absolute Value, **

**►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,**

**►Proposition, Implication, Bi implication,**

**►Necessary & Sufficient Conditions,**

**►Necessary & Sufficient Conditions,**

**►Direct Proof, Indirect Proof, Proof by contradiction, **

**►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**

**►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,**

**►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 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, **

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

**►Relations,**

**►Relations,**

**►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,**

**►Polynomials**

**►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,**

**►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 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**

**►Differentiability, Newton Quotient**

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

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

**►Implicit Differentiation, Higher Order Derivatives **

**►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,**

**►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**

**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,**

**►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 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**

**►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,**

**►Linearly Dependent & Independent Vectors, **

**►Linearly Dependent & Independent Vectors,**

**►Convex Combination of Vectors**

**►Convex Combination of Vectors**

**►Parametric and Vector Equation of Straight Line and Plane **

**►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,**

**►**

**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 Model,**

**►Markov Brand Switching Model,**

**►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,**

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

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

**►Leontief Input Output Model **

**►Leontief Input Output Model**

**[ MME – I ]**** Demo Test**

**[ MME – I ]****Demo Test****[ MME – I ]**** Syllabus as Prescribed by DU**

**[ MME – I ]****Syllabus as Prescribed by DU**