# Introductory Mathematics for Engineering Applications / Edition 2

ISBN-10: 1118466160

ISBN-13: 9781118466162

Pub. Date: 09/04/2012

Publisher: Wiley

Rattan and Klingbeil’s Introductory Mathematics for Engineering Applications is designed to help improve engineering student success through application-driven, just-in-time engineering math instruction. Intended to be taught by engineering faculty rather than math faculty, the text emphasizes using math to solve engineering problems instead

## Overview

Rattan and Klingbeil’s Introductory Mathematics for Engineering Applications is designed to help improve engineering student success through application-driven, just-in-time engineering math instruction. Intended to be taught by engineering faculty rather than math faculty, the text emphasizes using math to solve engineering problems instead of focusing on derivations and theory. This text implements an applied approach to teaching math concepts that are essential to introductory engineering courses that has been proven to improve the retention of students in engineering majors from the first to second year and beyond.

## Product Details

ISBN-13:
9781118466162
Publisher:
Wiley
Publication date:
09/04/2012
Edition description:
Preliminary Edition, Revised
Pages:
460
Product dimensions:
9.10(w) x 7.40(h) x 1.10(d)

1 Straight Lines in Engineering 1

1.1 Vehicle during Braking 1

1.2 Voltage-Current Relationship in a Resistive Circuit 3

1.3 Force-Displacement in a Preloaded Tension Spring 6

1.4 Further Examples of Lines in Engineering 8

1.5 Problems 20

2 Quadratic Equations in Engineering 31

2.1 A Projectile in a Vertical Plane 31

2.2 Current in a Lamp 35

2.3 Equivalent Resistance 37

2.4 Further Examples of Quadratic Equations in Engineering 38

2.5 Problems 50

3 Trigonometry in Engineering 61

3.1 Introduction 61

3.4 Further Examples of Trigonometry in Engineering 91

3.5 Problems 100

4 Two-Dimensional Vectors in Engineering 109

4.1 Introduction 109

4.2 Position Vector in Rectangular Form 110

4.3 Position Vector in Polar Form 111

4.5 Problems 127

5 Complex Numbers in Engineering 135

5.1 Introduction 135

5.2 Position of One-Link Robot as a Complex Number 136

5.3 Impedance of R, L, and C as a Complex Number 137

5.4 Impedance of a Series RLC Circuit 139

5.5 Impedance of R and L Connected in Parallel 141

5.6 Armature Current in a DC Motor 143

5.7 Further Examples of Complex Numbers in Electric Circuits 145

5.8 Complex Conjugate 149

5.9 Problems 150

6 Sinusoids in Engineering 161

6.1 One-Link Planar Robot as a Sinusoid 161

6.2 Angular Motion of the One-Link Planar Robot 164

6.3 Phase Angle, Phase Shift, and Time Shift 167

6.4 General Form of a Sinusoid 168

6.5 Addition of Sinusoids of the Same Frequency 171

6.6 Problems 178

7 Systems of Equations in Engineering 191

7.1 Introduction 191

7.2 Solution of a Two-Loop Circuit 191

7.3 Tension in Cables 197

7.4 Further Examples of Systems of Equations in Engineering 200

7.5 Problems 215

8 Derivatives in Engineering 225

8.1 Introduction 225

8.2 Maxima and Minima 225

8.3 Applications of Derivatives in Dynamics 233

8.4 Applications of Derivatives in Electric Circuits 248

8.5 Applications of Derivatives in Strength of Materials 258

8.6 Further Examples of Derivatives in Engineering 269

8.7 Problems 276

9 Integrals in Engineering 293

9.1 Introduction: The Asphalt Problem 293

9.2 Concept of Work 299

9.3 Application of Integrals in Statics 302

9.5 Applications of Integrals in Dynamics 319

9.6 Applications of Integrals in Electric Circuits 331

9.7 Current and Voltage in an Inductor 340

9.8 Further Examples of Integrals in Engineering 345

9.9 Problems 353

10 Differential Equations in Engineering 369

10.1 Introduction: The Leaking Bucket 369

10.2 Differential Equations 370

10.3 Solution of Linear DEQ with Constant Coefficients 371

10.4 First-Order Differential Equations 372

10.5 Second-Order Differential Equations 399

10.6 Problems 415