23UMATS36 Computational Mathematics – I Syllabus:

23UMATS36 Computational Mathematics – I Syllabus – Annamalai University UG Syllabus Regulation 2023-24

Objectives of the Course

• To learn and use computational mathematics to interpolate the values.
• To find the missed values from the data.
• To learn the various techniques of finding the in between values from the given data.

UNIT – I

Interpolation – Newton – Gregory forward & backward formulae for interpolation (no derivations of formula, problems only).

UNIT – II

Central differences formulae: Gauss Forward and Backward formulae (no derivations of formula, problems only).

UNIT – III

Sterling’s formula – Bessel’s formula (no derivations of formula, problems only).

UNIT – IV

 Divided differences – Newton’s divided differences formula (no derivation of formula, problems only)

UNIT – V

Lagrange’s interpolation formula (no derivation , problems only)

Recommended Text

• M.K. Venkataraman. (1992) Numerical methods for Science and Engineering National Publishing Company, Chennai.
• B.D. Gupta.(2001) Numerical Analysis.Konark Pub. Ltd., Delhi.

Reference Books

• Arumugham. (2003) Numerical Methods, New Gamma Publishing, Palamkottai.
• C. Saxena. (1991) Finite differences and Numerical analysis S.Chand & Co., Delhi.
• Singaravelu (2004). Numerical MethodsMeenakshi Agency, Chennai.
• Kandasamy, K.Thilagavathy (2003) Calculus of Finite difference & Numerical Analysis, S. Chand & Company Ltd., New Delhi-55.