Additional Mathematics - 1: As per VTU

This text Additional Mathematics – I, is the bridge course in Mathematics for the lateral entry diploma quota students and is designed for 3rd semester Engineering course at the Visvesvaraya Technological University . 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 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 & Integral Calculus, Module 4 for Vector Differentiation and concludes with Module 5 Ordinary Differential Equations which explains Introduction to ODE, Separation of Variables, Homogeneous Equations, Equations Reducible to Homogeneous, Linear Differential Equations, Bernoulli’s Equation, 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 of students.