Advanced Engineering Mathematics: Applications Guide [Paperback]

Advanced Engineering Mathematics: Applications Guide?is a text that bridges the gap between formal and abstract mathematics, and applied engineering in a meaningful way to aid and motivate engineering students in learning how advanced mathematics is of practical importance in engineering.? The strength of this guide lies in modeling applied engineering problems.? First-order and second-order ordinary differential equations (ODEs) are approached in a classical sense so that students understand the key parameters and their effect on system behavior.

The book is intended for undergraduates with a good working knowledge of calculus and linear algebra who are ready to use Computer Algebra Systems (CAS) to find solutions expeditiously.? This guide can be used as a stand-alone for a course in Applied Engineering Mathematics, as well as a complement to Kreyszigs?Advanced Engineering Mathematics?or any other standard text.

Chapter 1: First-Order Ordinary Differential Equations

1.1 Introduction

1.2 Basic Concepts

1.3 Engineering Form of The First-Order ODE and The Time Constant

1.4 Response of a System to a Sinusoid Forcing Function

Homework Problems for Chapter One

Chapter 2: Second-Order Initial Value Ordinary Differential Equations

2.1 Introduction

2.2 Basic Concepts

2.3 Engineering Form of the Second-Order ODE

2.4 Modeling of Second-Order Linear Homogeneous Systems: Free Vibration

2.5 Solution of Nonhomogeneous Second-Order Linear ODE

2.6 Modeling of Second-Order Linear Nonhomogeneous Systems: Forced Vibration

2.7 Undamped Second-Order Systems with a Sinusoid Forcing Function