Course objectives and outcomes
To develop the foundations of vector calculus in three dimensions, using Cartesian coordinates. The techniques learnt in this module is a basic requirement for all learners taking up the study of physics at an advanced level. Students are exposed to the use of computers to aid in the visualization of the concepts learnt in the module.
After undergoing this course, the student is expected to- Be able to formulate and solve advanced problems which yield to the techniques of vector algebra.
- Understand how transformation laws are formulated using matrices and acquire an elementary notion of symmetries associated with the transformations.
- Develop facilities in application of the ideas of vector algebra and vector functions to the study of two and three dimensional curves and surfaces.
- Understand the notion of vector differential operators and their physical content.
- Learn and make use of suffix notation in the identities of vector algebra and calculus.
- Understanding heuristic proofs of integral theorems of vector calculus and their simple applications.
Reference Books:
- Mathematical Methods for Physicists, G.B. Arfken, H.J. Weber, F.E. Harris, 2013, 7th Edn., Elsevier.
- An introduction to ordinary differential equations, E.A. Coddington, 2009, PHI learning
- Differential Equations, George F. Simmons, 2007, McGraw Hill.
- Mathematical Tools for Physics, James Nearing, 2010, Dover Publications.
- Mathematical methods for Scientists and Engineers, D.A. McQuarrie, 2003, Viva Book
- Advanced Engineering Mathematics, D.G. Zill and W.S. Wright, 5 Ed., 2012, Jones and Bartlett Learning
- Mathematical Physics, Goswami, 1st edition, Cengage Learning
- Engineering Mathematics, S.Pal and S.C. Bhunia, 2015, Oxford University Press
- Advanced Engineering Mathematics, Erwin Kreyszig, 2008, Wiley India.
- Essential Mathematical Methods, K.F.Riley & M.P.Hobson, 2011, Cambridge Univ. Press
Course objectives and outcomes
The objective of the course is to impart a good foundation of the concepts of mechanical properties of matter.
The students will acquire knowledge of the mechanical properties of matter in the solid and the liquid state which is essential for every student of physics.
Reference Books:
Additional Books for Reference
The objective of the course is to impart a good foundation of the concepts of mechanical properties of matter.
The students will acquire knowledge of the mechanical properties of matter in the solid and the liquid state which is essential for every student of physics.
Reference Books:
- An introduction to mechanics, D. Kleppner, R.J. Kolenkow, 1973, McGraw-Hill.
- Mechanics, Berkeley Physics, vol.1, C.Kittel, W.Knight, et.al. 2007, Tata McGraw-Hill.
- Physics, Resnick, Halliday and Walker 8/e. 2008, Wiley.
- Analytical Mechanics, G.R. Fowles and G.L. Cassiday. 2005, Cengage Learning.
- Feynman Lectures, Vol. I, R.P.Feynman, R.B.Leighton, M.Sands, 2008, Pearson Education
- Introduction to Special Relativity, R. Resnick, 2005, John Wiley and Sons.
- University Physics, Ronald Lane Reese, 2003, Thomson Brooks/Cole.
Additional Books for Reference
- Mechanics, D.S. Mathur, S. Chand and Company Limited, 2000
- University Physics. F.W Sears, M.W Zemansky, H.D Young 13/e, 1986, Addison Wesley
- Physics for scientists and Engineers with Modern Phys., J.W. Jewett, R.A. Serway, 2010, Cengage Learning
- Theoretical Mechanics, M.R. Spiegel, 2006, Tata McGraw Hill.
- Mechanics-Gregori ,Cambridge Hall