C Pandurangappa

Additional Mathematics - 1 C Pandurangappa

This book Additional Mathematics - I, 4th Edition, is the bridge course text book of Mathematics for the lateral entry (diploma quota) students and is designed for 3rd semester Engineering course at the Visvesvaraya Technological University (VTU). The content is explained in 5 modules using simple and lucid language. The introductory chapter 0 being "Preliminaries -Short Notes". This chapter is to refresh and recollect your understanding, at the lower classes. Module 1 begins with Complex Trigonometry and Vector Algebra, continues with explanations on concepts like Complex Numbers: Definitions & Properties. Modulus and amplitude of a complex number, Argand's diagram, De-Moivre's theorem and start off with Vector Algebra, with a generous sprinkle of worked out examples. Module 2 and 3 is dedicated to Differential Calculus & Vector Calculus, Module 4 for Integral Calculus and concludes with Module 5 ODE's (Ordinary Differential Equations) which explains Introduction to first order differential equations and Linear differential equations and terminates with explaining Bernoullis equation. The author also explains Homogeneous Equations, Equations Reducible to Homogeneous, Linear Differential Equations, Exact Differential Equations, Equations Reducible to Exact Equations. As usual, varieties of worked examples and a large number of exercise problems are provided in the text to strengthen the problems solving ability and concept understanding of students.