Objective: Students will be able to identify the analytical aspects of Mathematical concepts of Continuity, uniform Continuity, Differentiability and applications.
Text Books:1. R. Bartle and D.R. Sherbert, Introduction to Real Analysis, John Wiley and Sons, 2003.
2. S.R. Ghorpade and B.V. Limaye, A Course in Calculus and Real Analysis, Springer, 2006.
2. A. Mattuck, Introduction to Analysis, Prentice Hall, 1999.
Objective: Students will be able to identify the Structures and characteristics of Abstract Algebra.
Text Books:
1. John B. Fraleigh, A First Course in Abstract Algebra, 7th Ed., Pearson, 2002.
2. M. Artin, Abstract Algebra, 2nd Ed., Pearson, 2011.
3. Abstract Algebra , Khanna & Bhambri
4. Joseph A. Gallian, Contemporary Abstract Algebra, 4th Ed., Narosa Publishing House, New Delhi, 1999.
Reference Books:
1. Joseph J. Rotman, An Introduction to the Theory of Groups, 4th Ed., Springer Verlag, 1995.
2. I.N. Herstein, Topics in Algebra, Wiley Eastern Limited, India, 1975.
Objectives : Students will be able to understand the basic idea of mathematical model by using partial differential equations, and ideas on the basics of partial differential equations.
Text Books:
1. S.L. Ross, Differential equations, 3rd Ed., John Wiley and Sons, India, 2004.
2. I. N. Sneddon, Elements of Partial Differential Equations, Dover Publications.
Reference Books:
1. Tyn Myint-U and Lokenath Debnath, Linear Partial Differential Equations for Scientists and Engineers, 4th edition, Springer, Indian reprint, 2006.
2. Martha L Abell, James P Braselton, Differential equations with MATHEMATICA, 3rd Ed., Elsevier Academic Press, 2004.