Authors Rattan and Klingbeil have developed a new approach to engineering math that improves student motivation and success and supports greater retention of engineering majors. The book is designed specifically for engineering students, who specifically cite calculus as the reason for dropping out of engineering courses. Introduction to Engineering Math is designed to improve student retention, motivation and success through application-driven, just-in-time engineering math instruction provided by engineering faculty.

Contents
1 Straight Lines in Engineering

1.1 Vehicle during Braking

1.2 Voltage-Current Relationship in a Resistive Circuit

1.3 Force-Displacement in a Preloaded Tension Spring

1.4 Further Examples of Lines in Engineering



2 Quadratic Equations in Engineering

2.1 A Projectile in a Vertical Plane

2.2 Current in a Lamp

2.3 Equivalent Resistance

2.4 Further Examples of Quadratic Equations in Engineering



3 Trigonometry in Engineering

3.1 Introduction

3.2 One-Link Planar Robot

3.3 Two-Link Planar Robot

3.4 Further Examples of Trigonometry in Engineering



4 Two-Dimensional Vectors in Engineering

4.1 Introduction

4.2 Position Vector in Rectangular Form

4.3 Position Vector in Polar Form

4.4 Vector Addition



5 Complex Numbers in Engineering

5.1 Introduction

5.2 Position of One-Link Robot as a Complex Number

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

5.4 Impedance of a Series RLC Circuit

5.5 Impedance of R and L Connected in Parallel

5.6 Armature Current in a DC Motor

5.7 Further Examples of Complex Numbers in Electric Circuits

5.8 Complex Conjugate



6 Sinusoids in Engineering

6.1 One-Link Planar Robot as a Sinusoid

6.2 Angular Motion of the One-Link Planar Robot

6.3 Phase Angle, Phase Shift and Time Shift

6.4 General Form of a Sinusoid

6.5 Addition of Sinusoids of the Same Frequency



7 Systems of Equations in Engineering

7.1 Introduction

7.2 Solution of a Two-Loop Circuit

7.3 Tension in Cables

7.4 Further Examples of Systems of Equations in Engineering



8 Derivatives in Engineering

8.1 Introduction

8.2 Maxima and Minima

8.3 Applications of Derivatives in Dynamics

8.4 Applications of Derivatives in Electric Circuits

8.5 Applications of Derivatives in Strength of Materials

8.6 Further Examples of Derivatives in Engineering



9 Integrals In Engineering

9.1 Introduction: The Asphalt Problem

9.2 Concept of Work

9.3 Application of Integrals in Statics

9.4 Distributed Loads

9.5 Applications of Integrals in Dynamics

9.6 Applications of Integrals in Electric Circuits

9.7 Current and Voltage in an Inductor

9.8 Further Examples of Integrals in Engineering



10 Differential Equations in Engineering

10.1 Introduction: The Leaking Bucket

10.2 Differential Equations

10.3 Solution of Linear DEQ with Constant Coefficients

10.4 First-Order Differential Equations

10.5 Second-Order Differential Equations



Answers to Selected Problems

Index