Mathematical Methods for Economics-I

By Dr Anupama Uppal, Professor of Economics | | Department of Economics | Punjabi University | Patiala, Punjab

Learners enrolled: 420

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'.

Summary

Course Status :	Ongoing
Course Type :	Core
Duration :	15 weeks
Category :	Humanities and Social Sciences
Credit Points :	5
Level :	Undergraduate
Start Date :	15 Jan 2024
End Date :	30 Apr 2024
Enrollment Ends :	29 Feb 2024
Exam Date :	25 May 2024 IST
Exam Shift :	Shift - I

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

The layout of the content is as follows:

Lecture No	Module title
1	Introduction to Mathematical economics
2	Logic and proof techniques
3	Sets, their types, difference of two sets
4	Laws of sets
5	Numerical Problems and solutions
6	Basics of Relations and Functions
7	Functions and their properties
8	Number system: An Introduction
9	Divisibility in Integers
10	Congruence relations in integers
11	Problems and Solutions of relations and functions
12	Types of functions
13	Sequences and series: convergence and algebraic properties
14	Arithmetic Progression (AP)
15	Application of AP in Economics
16	Sequences and series: Geometric Progression (GP)
17	Application of GP in Economics
18	Miscellaneous Numerical Problems and Solutions of AP and GP
19	Limit and continuity of a function
20	Theory of Limit, continuous and discontinuous functions
21	Numerical Problems and solutions of Limit and continuity
22	Derivation of standard functions: Basic rules and properties
23	Second and higher order derivatives
24	Numerical problems and solutions
25	Applications of derivatives in Economics
26	Convex functions, their characterizations and applications
27	Local and global optima and their geometric characterizations
28	Economic applications of single variable optimisation
29	Integration of Functions: An introduction
30	Rules of Integration
31	Methods of Integration
32	Numerical Problems and solutions of integral functions
33	Applications of Integral Functions in Economics: Demand Function and Consumer Surplus
34	Applications of Integral Functions in Economics: Revenue Functions
35	Applications of Integral Functions in Economics: Production and Profit Optimisation
36	Differential Equations: An Introduction
37	First Order and Linear Differential Equation
38	Numerical problems and solutions of first order differential equations
39	Homogeneous and Non-homogeneous differential equations
40	Exact and Second order differential equations
41	Time Path in Differential Equations
42	Numerical Problems and Solutions of Differential Equations
43	Economic Applications of Differential Equations
44	Difference Equations: An Introduction
45	First Order Difference equations
46	Second order difference equations
47	Numerical Problems and solutions
48	Partial Derivatives: An Introduction
49	Economic Applications of Partial Derivatives: Discriminating Monopoly and Partial Elasticities
50	Economic Applications of Derivatives - II

Instructor bio

Dr Anupama Uppal, Professor of Economics |

Department of Economics | Punjabi University | Patiala, Punjab

Experience Detail

Teaching Experience : 28 years

No. of Ph.Ds (degree awarded): 16

Registered : 16

M. Phil: 29

Administrative Experience:

Head of the Department, January 2021 to Dec. 2023
Secretary, Planning Commission Chair, Punjabi University, Patiala
Dean, Students Welfare, May 11th, 2021 – May 10, 2023
Chairperson, UG and PG Board of studies in Economics, Punjabi University, Patiala
Chairperson, UG and PG Board of studies in Rural Development, Punjabi University, Patiala
Nodal Officer of IQAC for the department
Course Co-coordinator, FYIP in social sciences

Membership of Associations:

Life member of Indian Economic Association, Indian Society of Labour Economics, Indian Society of Economic Development and Policy, Indian Political Economy Association
Member, International Association of Review in Income and Wealth, 2014-2019
Member, International Association for Feminist Economists, 2012-2019.
Member, World Social Scientists' Forum, 2016-17
Member, Geo-political economy research group, 2017-18

Award:

Best Research Paper in Labour Economics for the paper entitled ‘Globalization and Employment of Women Workers in Unorganised Manufacturing Sector of India’, Indian Society of Labour Economics, Golden Jubilee Conference, December, 2008.
Major Areas of Research: Informal Labour market, Economic Inequalities, Gender Issues