Direction cosines, direction ratios of a line- angle between two straight lines - plane - straight lines.
Angle between a plane and a line – co-planar lines- shortest distance between lines and sphere-Equations of sphere –section of a sphere by a plane-tangent plane.
Roots of equations - Numerical methods for roots of equations - Quadratic formula, iterative method, Newton-Raphson method, bisection and Regula-Falsi
Newton’s forward and backward formulae – equidistant terms with one or more missing values – Central differences and central difference table – Gauss forward and backward formulae – Stirlings formula.
Divided differences – Properties – Relations between divided differences and forward differences – Newton’s divided differences formula – Lagrange’s formula and inverse interpolation.
Reference Book:
1. S. Arumugam, Ancillary Mathematics, Paper I, New Gamma Publications,2002 Unit1: (Chapter-V-Section-5.3) Unit 2: (Chapter-VI-Section-6.2, Chapter-VIII-8.1-8.3) 2. Kandasamy. P, Thilagavathi. K and Gunavathi. K “Numerical methods” – S. Chand and Company Ltd, New Delhi – (Revised Edition 2008)Reprint 2009. (Chapters: 3,4, 5,6,7 and 8). Unit 3: Chapter 3: Sections:3.1, 3.2(3.2.1),3.3,3.4(3.4.1)-(3.4.3) Unit 4: Chapter 6: Sections: 6.1-6.3, 6.7 Chapter 7: Sections: 7.1, 7.3,7.4 Unit 5: Chapter 8: Sections 8.1- 8.5 , 8.7,8.8
Text Book:
1. S. Arumugam, Ancillary Mathematics, Paper I, New Gamma Publications,2002 Unit1: (Chapter-V-Section-5.3) Unit 2: (Chapter-VI-Section-6.2, Chapter-VIII-8.1-8.3) 2. Kandasamy. P, Thilagavathi. K and Gunavathi. K “Numerical methods” – S. Chand and Company Ltd, New Delhi – (Revised Edition 2008)Reprint 2009. (Chapters: 3,4, 5,6,7 and 8). Unit 3: Chapter 3: Sections:3.1, 3.2(3.2.1),3.3,3.4(3.4.1)-(3.4.3) Unit 4: Chapter 6: Sections: 6.1-6.3, 6.7 Chapter 7: Sections: 7.1, 7.3,7.4 Unit 5: Chapter 8: Sections 8.1- 8.5 , 8.7,8.8
