Objective: To infuse the classical ideas of algebraic and analytic structures.
Text Books:1. S.C. Malik and S.L. Arora, Mathematical Analysis, New age international(p) Ltd. New Delhi. 3rd revised edition.
2. R.G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 3rd Ed., John Wiley and Sons (Asia) Pvt. Ltd., Singapore, 2002.
3. A. Kumar and S. Kumarasen, A Basic Course in Real Analysis, CRC Press
4. G. B. Thomas and R. L. Finney, Calculus, Pearson.
Reference Books:
1. Gerald G. Bilodeau , Paul R. Thie, G.E. Keough, An Introduction to Analysis, 2nd Ed., J. & Bartlett, 2010.
2. Brian S. T. Andrew. M. Bruckner and Judith B. Bruckner, Elementary Real Analysis, Prentice Hall, 2001.
3. S.K. Berberian, A First Course in Real Analysis, Springer Verlag, New York, 1994.
Objectives : Students will be able to understand the basic idea of mathematical model by using differential equations, and ideas on the basics of differential equations.
Text Books:
1. S.L. Ross, Differential Equations, 3rd Ed., John Wiley and Sons, India, 2004.
2. E. A. Coddington, An Introduction to Ordinary Differential Equation, Dover Publications.
Reference Books:
1. Belinda Barnes and Glenn R. Fulford, Mathematical Modeling with Case Studies, A Differential Equation Approach using Maple and Matlab, 2nd Ed., Taylor and Francis group, London and New York, 2009.
2. C.H. Edwards and D.E. Penny, Differential Equations and Boundary Value problems Computing and Modeling, Pearson Education India, 2005.
3. Martha L Abell, James P Braselton, Differential Equations with MATHEMATICA, 3rd Ed., Elsevier Academic Press, 2004.
4. M.D. Raisinghania, Advanced Differential Equation, S. Chand Company.