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Mathematical Methods for Economics-I

Punjabi University , CEC via Swayam

Description

The objective of this sequence is to transmit the body of basic mathematics that enables the study of economic theory at the undergraduate level. In this course, particular economic models are not the ends, but the means for illustrating the method of applying mathematical techniques to economic theory in general. This sequence will introduce the students with basic mathematical tools used in economic analysis.This course is taught nearly in all the universities of India as well as Punjab running hons school in economics. e.g. in Punjabi University, Patiala, Guru Nanak Dev University, Amritsar and Panjab University, Chandigarh, teach it as a compulsory subject in their course 'BA Hons School in Economics'.

Economics

Syllabus

The layout of the content is as follows:

Lecture NoModule title1Introduction to Mathematical economics2Logic and proof techniques3Sets, their types, difference of two sets4Laws of sets5Numerical Problems and solutions6Basics of Relations and Functions7Functions and their properties8Number system: An Introduction9Divisibility in Integers10Congruence relations in integers11Problems and Solutions of relations and functions12Types of functions13Sequences and series: convergence and algebraic properties14Arithmetic Progression (AP)15Application of AP in Economics16Sequences and series: Geometric Progression (GP)17Application of GP in Economics18Miscellaneous Numerical Problems and Solutions of AP and GP19Limit and continuity of a function20Theory of Limit, continuous and discontinuous functions21Numerical Problems and solutions of Limit and continuity22Derivation of standard functions: Basic rules and properties23Second and higher order derivatives24Numerical problems and solutions25Applications of derivatives in Economics26Convex functions, their characterizations and applications27Local and global optima and their geometric characterizations28Economic applications of single variable optimisation29Integration of Functions: An introduction30Rules of Integration31Methods of Integration32Numerical Problems and solutions of integral functions33Applications of Integral Functions in Economics: Demand Function and Consumer Surplus34Applications of Integral Functions in Economics: Revenue Functions35Applications of Integral Functions in Economics: Production and Profit Optimisation36Differential Equations: An Introduction37First Order and Linear Differential Equation38Numerical problems and solutions of first order differential equations39Homogeneous and Non-homogeneous differential equations40Exact and Second order differential equations41Time Path in Differential Equations42Numerical Problems and Solutions of Differential Equations43Economic Applications of Differential Equations44Difference Equations: An Introduction45First Order Difference equations46Second order difference equations47Numerical Problems and solutions48Partial Derivatives: An Introduction49Economic Applications of Partial Derivatives: Discriminating Monopoly and Partial Elasticities50Economic Applications of Derivatives - II