Objectives : Students will be able to use matrix methods for solving linear equations, have ideas on the basics of differential equations and also about the numerical methods of obtaining results where complexity of obtaining analytical solutions is sufficiently high.
Text Books:
1. M.K. Jain, S.R.K. Iyengar and R.K. Jain, Numerical Methods for Scientific and Engineering Computation, 6th Ed., New age International Publisher, India, 2007.
2. Getting Started with Matlab, Rudra pratap, OXFORD , University Press. Reprint 2011.
3. K. Atkinson, An Introduction to Numerical Analysis (2nd Edition), Wiley Publications
Reference Books:
1. Brian Bradie, A Friendly Introduction to Numerical Analysis, Pearson Education, India, 2007.
2. C.F. Gerald and P.O. Wheatley, Applied Numerical Analysis, Pearson Education, India, 2008.
3. Uri M. Ascher and Chen Greif, A First Course in Numerical Methods, 7th Ed., PHI Learning Private Limited, 2013.
4. John H. Mathews and Kurtis D. Fink, Numerical Methods using Matlab, 4th Ed., PHI Learning Private Limited, 2012.
Objective: Students will be able to understand the basic idea of Riemann Integration and Series of Functions.
Text Books:
1. Real Analysis , Walter Ruddin
2. R. Bartle and D.R. Sherbert, Introduction to Real Analysis, John Wiley and Sons, 2003.
3. S.R. Ghorpade and B.V. Limaye, A Course in Calculus and Real Analysis, Springer, 2006.
Reference Books:
1. K.A. Ross, Elementary Analysis, The Theory of Calculus, Undergraduate Texts in Mathematics, Springer (SIE), Indian reprint, 2004.
2. Charles G. Denlinger, Elements of Real Analysis, Jones & Bartlett (Student Edition), 2011
Objective: Students will be exposed to structural concepts of Ring theory and different spaces of linear Algebra.
Text Books:
1. John B. Fraleigh, A First Course in Abstract Algebra, 7th Ed., Pearson, 2002.
2. P.K. Saikia , “Linear Algebra”
3. K.P.Gupta , “Linear Algebra”
4. Joseph A. Gallian, Contemporary Abstract Algebra, 4th Ed., Narosa Publishing House, New Delhi, 1999.
5. S. Kumaresan, Linear Algebra- A Geometric Approach, Prentice Hall of India,1999.
Reference Books:
1. M. Artin, Abstract Algebra, 2nd Ed., Pearson, 2011.
2. Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence, Linear Algebra, 4th Ed., Prentice-Hall of India Pvt. Ltd., New Delhi, 2004.
3. S. Lang, Introduction to Linear Algebra, 2nd Ed., Springer, 2005.
4. D.A.R. Wallace, Groups, Rings and Fields, Springer Verlag London Ltd., 1998.
5. Kenneth Hoffman, Ray Alden Kunze, Linear Algebra, 2nd Ed., Prentice-Hall of India Pvt. Ltd., 1971.