Back close

Course Detail

Course Name Linear Algebra, Legendre Equations and Numerical Methods
Course Code 18MA618
Program M. Tech. in Structural & Construction EngineeringPlacements & Partners
Year Taught 2019

Syllabus

Course Syllabus

Linear algebra: Review of matrices and linear systems of equations. Vector spaces and subspaces, linear independence, basis and dimensions, linear transformations, orthogonality, Orthogonal basis, Gram Schmidt Process, least-square applications.

Differential equation with series solutions: Legendre’s equation, Legendre’s polynomial Pn(x), Legendre’s function of the second kind [Qn(x)], General solution of Legendre’s equation, Rodrigue’s formula, Legendre polynomials, A generating function of Legendre’s polynomial, Orthogonality of Legendre polynomials, Recurrence formulae for Pn(x) Green’s function – Green’s Identities – Generalized functions.

Numerical methods: Solution of systems of equations – iterative methods, method of determining Eigen values and Eigen vectors by Power method. Numerical solution of partial differential equations – Elliptic, parabolic and hyperbolic equations.

Text Books

  • Elementary Linear Algebra, Howard Anton and Chris Rorrs, Ninth Edition, John Wiley and Sons, 2000.
  • Linear Algebra and Its Applications, Gilbert Strang, Fourth Edition, Cengage, 2006.
  • Orthogonal Functions, G. Sansone, Dover Phoenix Edition, 2004.
  • Special Functions, J .N .Sharma and R. K. Gupta, Krishna Prakashan, 2006.
  • Applied Numerical Analysis, Curtis. F. Gerald and Patrick O Wheatley, Fifth Edition, Addison Wesley, 2002.

References

‘Linear Algebra, Legendre Equations and Numerical Methods’ is a course offered in the first semester of M. Tech. program in Structural & Construction Engineering at the School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore campus.

DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.

Admissions Apply Now