**I**ntroductory Mathematical Methods for Economics (ECON 002)

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**The Introductory Mathematical Methods for Economics (ECON 002) Course for BA (Hons) Economics Semester I, UGCF 2022, 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 Exhaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals**

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**Demo Lectures**

**Demo Lectures****Exam Pattern**

**The Question Paper will be of 75 Marks**

**Examiners shall have wide latitude in deciding the examination for the course.**

**Each Unit of the course shall have 10-50% coverage in the final examination.**

**Demo Test**

**Demo Test****The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2022**

**The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2022****Course Content**** of Our ****Video Lectures**

**Course Content****of Our****Video Lectures****Chapter 1 : Preliminaries [379 Minutes]**

**Based Upon Hammond Chapter 1**

**Number of Lectures : ****11 Lectures**

**Number of Lectures :**

**11 Lectures**

**Total Duration of Lectures : ****379 Minutes**

**Total Duration of Lectures :**

**379 Minutes**

**Topics Covered**

**►Real Numbers, Natural Numbers, Integers, Rational Numbers, Irrational Numbers**

**►Real Numbers, Natural Numbers, Integers, Rational Numbers, Irrational Numbers**

**►Intervals, Inequalities, Sign Diagram,**

**►Intervals, Inequalities, Sign Diagram,**

**►Inequalities, Absolute Value**

**►Inequalities, Absolute Value**

**►Linear Inequalities in Two Variables. **

**►Linear Inequalities in Two Variables.**

**►Proposition, Propositional Connectives, Implication, Bi implication, ****Necessary & Sufficient Conditions**, Truth Tables

**►Proposition, Propositional Connectives, Implication, Bi implication,**

**Necessary & Sufficient Conditions**, Truth Tables**►Direct Proof, Indirect Proof, Proof by contradiction, **

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

**►Deductive and Inductive Reasoning**

**►Deductive and Inductive Reasoning**

**►Sets Introduction, Operations on Sets, **

**►Sets Introduction, Operations on Sets,**

**►Convex Sets, **

**►Convex Sets,**

**►Cartesian Product of Sets, **

**►Cartesian Product of Sets,**

**►Relations, **

**►Relations,**

**Chapter 2 : Functions of One Variable [452 Minutes]**

**Based Upon Hammond Chapter 2**

**Number of Lectures : ****10 Lectures**

**Number of Lectures :**

**10 Lectures**

**Total Duration of Lectures : ****452 Minutes**

**Total Duration of Lectures :**

**452 Minutes**

**Topics Covered**

**►Distance Formula, Section Formula, Area of a Triangle, Slope of a Line, Equation of a Line, Equation of Circle**,

**►Distance Formula, Section Formula, Area of a Triangle, Slope of a Line, Equation of a Line, Equation of Circle**

**►Equation of Circle, Equation of Parabola, **

**►Equation of Circle, Equation of Parabola,**

**►Rectangular Hyperbola **

**►Rectangular Hyperbola**

**►Functions Introduction,**

**►Functions Introduction,**

**►Injection, Surjection, Bijection, **

**►Injection, Surjection, Bijection,**

**►Domain & Range of Functions,**

**►Domain & Range of Functions,**

**►Linear and Quadratic Functions,**

**►Linear and Quadratic Functions,**

**►Greatest Integer Function, Modulus Function, Rational Function, Signum Function, **

**►Greatest Integer Function, Modulus Function, Rational Function, Signum Function,**

**►Graph of a Function,**

**►Graph of a Function,**

**►Inverse of a Function,**

**►Inverse of a Function,**

**Chapter 3 : Polynomials, Powers & Exponentials [199 Minutes]**

**Based Upon Hammond Chapter 3**

**Number of Lectures : ****7 Lectures**

**Number of Lectures :**

**7 Lectures**

**Total Duration of Lectures : ****199 Minutes**

**Total Duration of Lectures :**

**199 Minutes**

**Topics Covered**

**►Quadratic Functions**,

**►Quadratic Functions**

**►Quadratic Optimization, **

**►Quadratic Optimization,**

**►Polynomials, **

**►Polynomials,**

**►Power Functions, **

**►Power Functions,**

**►Economic Application of Functions, **

**►Economic Application of Functions,**

**►Exponential & Logarithmic Functions, **

**►Exponential & Logarithmic Functions,**

**►Applications of Exponential & Logarithmic Functions, **

**►Applications of Exponential & Logarithmic Functions,**

**Chapter 4 : Single Variable Differentiation [170 Minutes]**

**Based Upon Hammond Chapter 4**

**Number of Lectures : ****5 Lectures**

**Number of Lectures :**

**5 Lectures**

**Total Duration of Lectures : ****170 Minutes**

**Total Duration of Lectures :**

**170 Minutes**

**Topics Covered**

**►Slope of Tangent to Curve & Differentiation, Newton Quotient,**

**►Slope of Tangent to Curve & Differentiation, Newton Quotient,**

**►Simple Differentiation, **

**►Simple Differentiation,**

**►Rates of change and their economic significance, **

**►Rates of change and their economic significance,**

**►A Dash of Limits, **

**►A Dash of Limits,**

**►Second & Higher Order Derivatives, **

**►Second & Higher Order Derivatives,**

**Chapter 5 : More on Differentiation [294 Minutes]**

**Based Upon Hammond Chapter 5**

**Number of Lectures : ****8 Lectures**

**Number of Lectures :**

**8 Lectures**

**Total Duration of Lectures : ****290 Minutes**

**Total Duration of Lectures :**

**290 Minutes**

**Topics Covered**

**►Generalized Power Rule,**

**►Generalized Power Rule,**

**►Chain Rule, **

**►Chain Rule,**

**►Implicit Differentiation, **

**►Implicit Differentiation,**

**►Linear Approximation, **

**►Linear Approximation,**

**►Polynomial Approximation, **

**►Polynomial Approximation,**

**►Taylors Rule, Newton Binomial Formula **

**►Taylors Rule, Newton Binomial Formula**

**►Elasticity of Functions, **

**►Elasticity of Functions,**

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

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

**Chapter 6 : Limits, Continuity & Series [575 Minutes]**

**Based Upon Hammond Chapter 6**

**Number of Lectures : ****12 Lectures**

**Number of Lectures :**

**12 Lectures**

**Total Duration of Lectures : ****575 Minutes**

**Total Duration of Lectures :**

**575 Minutes**

**Topics Covered**

**►Limits Introduction,**

**►Limits Introduction,**

**►Special Limits,**

**►Special Limits,**

**►Logarithmic Limits,**

**►Logarithmic 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,**

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

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

**►One Sided Limits, **

**►One Sided Limits,**

**►Continuity, **

**►Continuity,**

**►Differentiability **

**►Differentiability**

**Chapter 7 : Implications of Continuity & Differentiability [280 Minutes]**

**Based Upon Hammond Chapter 7**

**Number of Lectures : ****7 Lectures**

**Number of Lectures :**

**7 Lectures**

**Total Duration of Lectures : ****280 Minutes**

**Total Duration of Lectures :**

**280 Minutes**

**Topics Covered**

**►Intermediate Value Theorem,**

**►Intermediate Value Theorem,**

**►Extreme Value Theorem,**

**►Extreme Value Theorem,**

**►Mean Value Theorem,**

**►Mean Value Theorem,**

**►****Monotonic Functions**,

**►**

**,**

**Monotonic Functions****►Equation of a Tangent and Normal, **

**►Equation of a Tangent and Normal,**

**►Taylor’s Formula & Newton Binomial Formula, **

**►Taylor’s Formula & Newton Binomial Formula,**

**►Inverse Functions, **

**►Inverse Functions,**

**Chapter 8 : Exponential & Logarithmic Functions [330 Minutes]**

**Based Upon Hammond Chapter 8**

**Number of Lectures : ****9 Lectures**

**Number of Lectures :**

**9 Lectures**

**Total Duration of Lectures : ****330 Minutes**

**Total Duration of Lectures :**

**330 Minutes**

**Topics Covered**

**►The Natural Exponential Function,**

**►The Natural Exponential Function,**

**►The Natural Logarithmic Function,**

**►The Natural Logarithmic Function,**

**►**Logarithmic Differentiation,

**Logarithmic Differentiation,****►****►Differentiation of Infinite Series, **

**►Differentiation of Infinite Series,**

**►Parametric Differentiation,**

**►Parametric Differentiation,**

**►Generalizations,**

**►Generalizations,**

**►****Applications of Exponentials & Logarithms**,

**►**

**,**

**Applications of Exponentials & Logarithms****►Compound Interest & Present Discounted Value, **

**►Compound Interest & Present Discounted Value,**

**Chapter 9 : Single Variable Optimization [520 Minutes]**

**Based Upon Hammond Chapter 9**

**Number of Lectures : ****14 Lectures**

**Number of Lectures :**

**14 Lectures**

**Total Duration of Lectures : ****520 Minutes**

**Total Duration of Lectures :**

**520 Minutes**

**Topics Covered**

**►Extreme Value Theorem,**

**►Extreme Value Theorem,**

**►Absolute Maximum & Minimum,**

**►Absolute Maximum & Minimum,**

**►**Local Maxima & Minima,

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

**►Global Maximum & Minimum,**

**►Curvature,**

**►Curvature,**

**►Jensen’s Inequality,**

**►Jensen’s Inequality,**

**►****Curve Sketching**,

**►**

**,**

**Curve Sketching****►Economic Applications of Maxima & Minima, **

**►Economic Applications of Maxima & Minima,**

**►Cost Functions, Revenue Functions, **

**►Cost Functions, Revenue Functions,**

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

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

**►Effect of Tax and Subsidy,**

**►Effect of Tax and Subsidy,**

**End of Syllabus**** Demo Test**

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

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