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

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**Introductory Mathematical Methods for Economics [ECON 002]****for**

**Economics (H) Semester I****, University of Delhi, 2024**

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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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**till end of Semester I Exams.**

**Course Fee for Introductory MME : Rs. 6,000**

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Single Subject | Rs. 6000 | Rs. 10,000 |

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**Mock Tests at the Website for regular assessment and progress tracking****►****Video Lectures Cover Theory Portions Exhaustively + Complete Solutions of Back Questions of Readings + Solutions of Previous Years Papers + Large Number of Numericals**

**Video Lectures Cover Theory Portions Exhaustively + Complete Solutions of Back Questions of Readings + Solutions of Previous Years Papers + Large Number of Numericals****►****Comprehensive Coverage of Syllabus and Exam Oriented Preperation**

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**Reading List**

**Click Here for Reading List of Introductory Mathematical Methods for for Economics**

**Recommended Readings**

**►****Sydsaeter, K., Hammond, P. (2002). Mathematics for economic analysis. Pearson Education.**

**Demo Lectures for Introductory Mathematical Methods for Economics (MME)**

**Demo Lectures for Introductory Mathematical Methods for Economics (MME)****Course Introduction**

**Chapter 1 : Preliminaries**

**Chapter 4 : Limits, Continuity & Series**

**Previous Year Question Papers : PYQ’s**

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**Exam Pattern**

**The End Semester Question Paper will be of 90 Marks**

**The assessment process comprises three distinct parts, and the ensuing pattern will be adhered to:**

**1. Internal Assessment (IA) : 30 Marks**

**►Two class test (12 marks each), and**

► 6 marks for attendance

► 6 marks for attendance

**2. Continuous Assessment (CA) : 40 Marks**

**► 1 Problem Solving for 10 marks**

**► At least 2 quizzes/assignments, adding up to total 25 marks.**

► 5 Marks for attendance.

► 5 Marks for attendance.

**3. The end semester exam: 90 Marks**

► There will not be multiple sections.

► There will be 10 questions (each of 10 marks), out of which 9 must be answered. A question may have no more than 2 sub-parts.

► The coverage of material in the exam will roughly correspond to the unitwise weights in terms of teaching times.

► The exam-setter should meet the department moderators before setting the exam in order to discuss the pattern of questions and leave ample time for moderation after the draft exam is prepared.

► There will not be multiple sections.

► There will be 10 questions (each of 10 marks), out of which 9 must be answered. A question may have no more than 2 sub-parts.

► The coverage of material in the exam will roughly correspond to the unitwise weights in terms of teaching times.

► The exam-setter should meet the department moderators before setting the exam in order to discuss the pattern of questions and leave ample time for moderation after the draft exam is prepared.

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

**Course Content****of Our****Video Lectures****The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2024- 25**

**The Lectures are as per the Latest Syllabus Prescribed by DU for UGCF 2024- 25****Unit – I : Preliminaries**

**Chapter 1 : Preliminaries**

**Duration of Lectures : 379 Minutes**

**Number of Lectures : 11**

**Based Upon Hammond Chapter 1**

**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,**

**Unit – 2 : Functions of One Real Variable**

**Chapter 2 : Functions of One Variable**

**Duration of Lectures : 452 Minutes**

**Number of Lectures : 10**

**Based Upon Hammond Chapter 2**

**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**

**Duration of Lectures : 399 Minutes**

**Number of Lectures : 7**

**Based Upon Hammond Chapter 3**

**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**

**Duration of Lectures : 170 Minutes**

**Number of Lectures : 5**

**Based Upon Hammond Chapter 4**

**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**

**Duration of Lectures : 290 Minutes**

**Number of Lectures : 8**

**Based Upon Hammond Chapter 5**

**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**

**Duration of Lectures : 575 Minutes**

**Number of Lectures : 12**

**Based Upon Hammond Chapter 6**

**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**

**Duration of Lectures : 280 Minutes**

**Number of Lectures : 7**

**Based Upon Hammond Chapter 7**

**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]**

**Duration of Lectures : 330 Minutes**

**Number of Lectures : 9**

**Based Upon Hammond Chapter 8**

**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,**

**Unit – 3 : Single Variable Optimization**

**Chapter 9 : Single Variable Optimization**

**Duration of Lectures : 520 Minutes**

**Number of Lectures : 14**

**Based Upon Hammond Chapter 9**

**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**** **

**End of Syllabus**