Mathematical Methods for Economics-II

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

Learners enrolled: 455

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 continue to acquaint the students with basic and advanced mathematical tools used in economic analysis.

Indicative Program Alignments :

B.A.(Hons)

Summary

Course Status :	Ongoing
Course Type :	Core
Language for course content :	English
Duration :	15 weeks
Category :	Economics
Credit Points :	5
Level :	Undergraduate
Start Date :	07 Jul 2025
End Date :	31 Oct 2025
Enrollment Ends :	31 Aug 2025
Exam Date :	14 Dec 2025 IST
NCrF Level	5.0
Course Exam Shift :	II

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

Page Visits

Course layout

Module No.	Module Name
1	Introduction to Differential Equations
2	Differential Equation of First Order and First Degree
3	Homogenous Equations
4	Non-homogeneous Equations of First Degree in x and y
5	Linear Differential Equations
6	Exact Differential Equations
7	Economic Applications of Differential Equations
8	Vectors: An Introduction and Properties
9	Vectors: Scalar Products, Norms and Orthogonality
10	Linear Transformations: Properties and Matrix Representations
11	Properties of Matrices
12	Addition and Multiplication of Matrices
13	Determinants: Characterization and Properties
14	Crammer's Rule and Linear Equations
15	Adjoint and Inverse of Matrix
16	Economic Applications of Matrix and Determinants
17	Functions of Several Real Variables: An Introduction
18	Geometric Representations: Graphs and Level Curves
19	Economic Applications of Differentiable Functions
20	Derivatives of Standard Functions
21	Differentiation of the Products and the Quotients, Chain Rule
22	Differentiation of Implicit Functions and Parametric Functions
23	Differentiation of Logarithmic and Exponential Functions
24	Second Order Derivatives: Properties and Applications
25	Application of Differentiation to Comparative Static Problem
26	Homogeneous Functions and Euler Theorem
27	Applications of Homogenous Functions
28	Monotonic Transformation of Homogenous Functions
29	Homothetic Functions: Theorem and Applications
30	Convex Sets and Their Properties
31	Convex Functions: Differentiability and Convexity
32	Properties and Applications of Convex Functions
33	Quasi Convex Functions: Characterization and Properties
34	Applications of Quasi-Convex Functions
35	Unconstrained Optimization: Geometric Characterization and Properties
36	Optimization of Simple Unconstrained Functions
37	Optimization of Simple Unconstrained Functions with Two and More Variables
38	Calculus and Unconstrained Optimization
39	Economic Applications of Optimization of Unconstrained functions
40	Constraint Optimization: An Overview, Characteristics and Properties
41	Constraint Optimization- The Geometric Characterization
42	Constraint Optimization with Equality Constraints
43	Use of Partial Derivatives- Constrained Optimization
44	Constraint Optimization- Lagrange’s method
45	Constrained Optimization- Economic Applications
46	Value Functions: Introduction and Properties
47	Envelope Theorem and Constrained Optimization: An Introduction
48	Linear Programming – An Introduction
49	Linear Programming – Graphic Method
50	Economic Models

Books and references

Brokate, M., Manchanda, P., & Siddiqi, A. H. (2019). Calculus for scientists and engineers (2019th ed.). doi:10.1007/978-981-13-8464-6
Chiang, A. C., & Wainwright, K. (2005). Fundamental Methods of Mathematical Economics (4th ed.). New York, NY: McGraw-Hill.
Pinchover, Y., & Rubinstein, J. (2005). An introduction to partial differential equations. Cambridge, England: Cambridge University Press.
Sethy, S. K. (2023). Mathematical Methods for Economic Analysis, Part I. Bharti Publications.
Siddiqi, A. H. (Ed.). (2015). Mathematical Methods, Models and Applications. Springer Nature.
Sydsæter, K., Hammond, P. J., & Strøm, A. (2012). Essential Mathematics for Economic Analysis (4th ed.). Harlow, UK: Pearson Education.

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

Course certificate

Internal Assessment

Weekly assessments released in the course shall be considered for Internal Marks and will carry 30 percent for the Overall Result. Out of all weekly assignments, the best/top five scores will be considered for the final Internal Assessment marks.

End-term Assessment

The final exam shall be conducted by NTA, and will carry 70 percent for the overall Result.

All students who obtain 40% marks in the internal assessment and 40% marks in the end-term proctored exam separately will be eligible for the SWAYAM Credit Certificate.