To prepare the students, not majoring in mathematics, with the essential tools of calculus to apply the concepts and the techniques in the field of economics. In order to satisfy the requirements of this course, students will need to acquire a thorough understanding of the mathematical concepts introduced during the semester, and will need to demonstrate that they can apply the corresponding tools and ideas to unfamiliar problems. The objective is to confront the students to advanced mathematical techniques so as to enable them handle economics models, interpret the results and solve complex problems.
Contents
 Complex Number and Circular Functions
 Imaginary and Complex Numbers
 Properties of Sine & Cosine functions
 Eular and Maclaurin series
 Integral Calculus
 Rules of Integrations and Operation
 Definite integrals, their propertie and area under a curve
 Improper integral
 Economic Applications of Integrals
 The Domar growth model
 Differential Equations
 First order linear and non linear differential equations
 Phase diagrams
 Types of time paths and the dynamic stability of equilibrium
 Market models and Solow growth model
 Solution of second order linear differential equations and its dynamic stability
 The Interaction of inflation and unemployment in continuous time
 Convergence and the Routh theorem
 Difference Equations
 First order linear and non linear difference equations its solution and verification of results
 Conditions for dynamic stability of equilibrium
 The Cobweb model, market model with inventory and model with price ceiling
 The qualitative/graphic approach and phase diagrams
 Secondorder linear difference equations
 The convergence and divergence of the time paths
 The MultiplierAcceleration interaction model
 Inflationunemployment model in discrete time
 Convergence and the Schur's theorem
 Solution of simultaneous difference equations
 NonLinear Programming
 Nonlinearity’s in Economics
 The KuhnTucker Sufficiency theorem
 The ArrowEnthoven Sufficiency theorem
 Quasiconcave programming
Recommended Books
1.Chiang, A. C., Fundamental Methods of Mathematical Economics, 4th ed. (McGraw Hill Publishing Company, 2004).
2.Dowling E. T., Mathematics for Economists, Schaum's Outline Series, 3rd ed.(McGraw Hill Publishing Company, 2009).
Suggested Books
 George, Alvery et al ., Essentials of Mathematics with Business Applications, 18th ed. (McGraw Hill Publishing Company, 2004).
 Frank, Budnick ,Applied Mathematics for Business, Economics and Social Sciences, 4th ed. (McGraw Hill Publishing Company, 2011).
Description of the System of Evaluation (Exam, assignments etc.):
Mid Term: 30 marks
Sessional: 20 marks
 Project: 25%
 Presentation: 25%
 Participation: 25%
 Attendance 25 %

Final Exam: 50 marks
Class Timings:
 For Regular Class: Monday (8:00 AM to 9.30 PM )

Wednesday (9:30 AM to 11:00 AM)
 For Self Support Class: Monday (2:30 PM to 4:00 PM )

Wednesday (1:00 PM to 2:30 PM)
Commencement of Classes Februray 22, 2021
Mid Term Examination April 19, 2021
Final Term Examination June 21, 2021
Declaration of Result July 02, 2021