Description
This book is primarily written according to the prescribed syllabus of A.M.I.E. (Diploma and Non-Diploma Streams) and also useful for B.E./B.Tech. students.1. In the beginning a large list of useful formulae is given for the reference purpose. The students can consult the list whenever it is required.2. Subject matter is presented in a very systemativ and logical way.3. Large number of solved examples are included. the solution can easily be understood by simple reading like a novel.4. The students can follow the subject even without the guidance of a teacher.5. Latest A.M.I.E Examinations Question Papers are also appended.6. The author has been teaching A.M.I.E. classes at the institute of Engineers, New Delhi for the last 20 years. Table Of Contents: CONTENTS: Section-I: Useful Results l Limits and Continuity l Ordinary Differentiation l Tangents and Normals l Maxima and Minima l Expansion of Functions l Indeterminate Forms I Asymptotes l Radius of Curvature l General Theorems l Partial Differentiation l Total Differentiation l Applications of Differential Calculus l Co-ordinates and Direction Cosines l Plane l Straight Line l Sphere l Cylinder l Cone l Matrices l Vector Algebra l Integration l Integration By the Method of Substitution l Integration by Parts l Integration by Partial Fraction Method l Integration of Irrational Functions l Integration of Trigonometrical Functions l Reduction Formulae l Definite Integral l Curve Tracing l Area l Volume l Length l Surface Area l Theorem of Pappus or Guldin l Multiple Integrals l Differential Equations l Partial Differential Equations l Linear Homogenous Partial Differential Equations l Partial Differential Equations in Practical Problems l Statistics l Probability l Binomial Distribution l Normal Distribution l Gama Beta Distiribution l Finite Differences I Difference Equations I Numerical Analysis I Envelops I Question Paper 2006,2005,2004 l Index
