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Detailed Syllabus for Core Course, B.A. (Honours) Economics, , , , , , SEMESTER-I, , COURSE TITLE: MATHEMATICAL METHODS IN ECONOMICS-I, , COURSE CODE: ECOC-102 COURSE NO: C- 02, , CREDITS: 06 NO. OF CLASSES: 72, MARKS: 100, , END SEMESTER: 80 INTERNAL ASSESSMENTS: 20, , Course Objective: To transmit the body of basic mathematics that enables the study of, economic theory at the undergraduate level, specifically the courses on microeconomic theory,, macroeconomic theory, statistics and econometrics set out in this syllabus., , Course Outcome: Acquisition of the essential mathematical skills used in economic analysis., Course Outline, , , , Unit Title L M, , , , ! Preliminaries:, , Number system, Sets and set operations; relations; functions and their, properties., , 10 | 10, , , , l|_ | Functions of one real variable:, Elementary types of functions & Graphs: quadratic, polynomial, power, | 20 | 20, exponential, logarithmic; Continuous functions, Differentiable functions:, Rules & application: Elasticity of demand & supply, utility function, Cost, function& revenue function,; second and higher order derivatives., , , , 1. Single-variable optimization:, Wl Maxima & minima of a function: geometric characterizations and | 15 | 20, applications: Theory of market: Profit maximization, Cost minimization, & Revenue maximization, Imposition of tax &Provision of subsidy., , , , \V_ | Integration of functions: Indefinite Integrals; Basic rules & methods of | 15, Integration: Applications: Derivation of total revenue function, total cost 20, function, consumption & saving function; Definite Integrals: properties &, applications: Area calculations, Consumer’s surplus, Producer’s surplus., , , , , , , , , , , , Vv Differenceequations: The first order difference equations and its applications: 12 | 10, Cobweb model., Readings:, , K. Sydsaeter and P. Hammond, Mathematics for Economic Analysis, Pearson Educational Asia: Delhi, 2. A.C.Chiang: Fundamental Methods of Mathematical economics, McGraw-Hill, , 3. Baruah, S.: Basic Mathematics& its Application in Economics Macmillan., , 4. Yamane, Taro: Mathematics for Economists, Prentice Hall of India Pvt. Ltd., , , , , , , , FERGIE SEGURA A IRA IK