This work on mathematics used for engineering will introduce mathematics as the "language of engineering," the framework in which engineering problems are understood and solved.

Table of Contents

• LIST OF FIGURES
• LIST OF TABLES
• ACKNOWLEDGMENTS
• 1 MOTIVATION FOR ENGINEERING MATHEMATICS
• 1.1 Abstraction in Engineering
• 1.2 Engineering Systems as a Starting Point
• 2 SOLVING COMMON ENGINEERING PROBLEMS
• 2.1 Choice of Coordinate Systems
• 2.1.1 Rectangular Coordinates
• 2.1.1.1 Moving to a Third Dimension
• 2.1.2 Polar Coordinates
• 2.1.3 Vectors
• 2.1.3.1 Vector Addition and Subtraction
• 2.1.3.2 Vector Multiplication
• 2.1.4 Manipulating Space
• 2.1.5 Complex Numbers
• 2.2 Graphical Relationships—Angles
• 2.2.1 Useful Angle Theorems
• 2.2.2 Ideas in Trigonometry
• 2.2.2.1 Laws of Sines and Cosines
• 3 EMPLOYING FUNCTIONS
• 3.1 Relations to Functions
• 3.1.1 Composition
• 3.1.2 Inverse Functions
• 3.2 Fitting Data
• 3.3 Locating Roots of a Function
• 3.3.1 Locating Roots Within a Tolerance, or “Getting Close Enough”
• 3.4 Functional Behavior
• 4 USING CALCULUS TO SOLVE PROBLEMS
• 4.1 Differential Calculus
• 4.2 Integral Calculus
• 5 INPUTS AND OUTPUTS
• 5.1 Classifications
• 5.2 Common Manipulations
• 5.3 Special Inputs
• 5.3.1 Heaviside Unit Step—the Step Function
• 5.3.2 Dirac’s Delta Function: The Impulse Function
• 5.4 Inputs in Terms of an Infinite Series
• 5.4.1 Power Series
• 5.4.2 Fourier Series
• 6 ENGINEERING SYSTEMS
• 6.1 A Summary and Where to Go from Here