MATHCAD TOOL FOR PROBLEM SOLVING

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Ouvrage 0-07-012189-3 : MATHCAD TOOL FOR PROBLEM SOLVING
B.E.S.T. (Basic Engineering Series and Tools) consists of modularized textbooks offering virtually every topic and specialty likely to be covered in an introductory engineering course. All the texts boast distinguished authors and the most current content. These inexpensive BEST modules are easily combined with each other to construct the ideal Intro to Engineering course. The goal of this series is to provide the educational community with material that is timely, affordable, of high quality, and flexible in how it is used.
Table of Contents
What Is Matchad and Whby Use It? 1
Doing Engineering Analysis on the Computer 3
Programming Languages 4
Spreadsheets 8
Mathematics Applications 9
What Is Mathcad? 10
What's Next 14
The Basic of Mathcad 15
The Mathcad Interface 15
The Menu Bar 16
The Toolbar 16
The Format Bar 17
The Math Palette 19
The Worksheet Work Spate 20
Example 2.1 Uniform Acceleration 20
Entering and Editingt Text 20
Arranging Regions 22
Entering Equations 23
Mathcad's Four Equals Signs 24
Built-in Operators and Functions 27
Defining Functions 30
Example 2.2 The Pressure of an Idean Gas 30
Editing Equations 32
Example 2.1 (Continued) Uniform 35
Acceleration
Defining Ranges 37
Example 2.3 Radioactive Decay 40
Symbolic Math 41
Symbolic Math Using the Menu Bar 43
Symbolic Math Using the Symblic Keywords 45
Palette
Symbolic Math Using Symbolic Accelerator 46
Keys
Working with Units 47
Example 2.1 (Continued) Uniform 48
Acceleration
Inserting Units 52
Example 2.4 Air-Conditioner Performance 53
Comments and Summary 56
Some Useful Keystrokes 57
Where to Find More 57
Additional Exercises 59
How to Graph Functions 65
The Graph Palette 66
X-Y Plots 66
Example 3.1 The Damped Pendulum 66
Quickplot 71
The Zoom Feature 72
The Trace Feature 73
Formatting 74
Plotting Several Funrcions 76
Example 3.2 The RL Circuit 77
Plotting Vectors 81
Example 3.3 Pressure Gage Calibration 82
Polar Plots 87
Example 3.4 Pressure Distribution around 88
a Cylinder
Surface Plots 90
Example 3.5 Vibration of a Rectangular 90
membrane
Contour Plots and 3-D Bar Charts 96
Example 3.6 Inviscid Flow over a Cylinder 97
Example 3.7 Per Item Income/Cost Analysis 99
Where to Find More 101
Additional Exercises 102
Symbolic and Numeric Calculus 109
Creating Integrals and Differentials in 109
Mathcad
The Integral Symbol 109
The Differentiation Symbol 110
Symbolic Integration 112
Example 4.1 Charging of a 112
Capacitor-Symbolic Integration Symbolic Integration Using mathcad 113
Numeric Integration 117
Numerical Techniques for Integration 118
Numeric Intergration Using mathcad 120
Example 4.1 (Continued) Charging of a 120
Capacitor
Symbolic and Numeric Differentation 123
Symbolic and Numeric Differentation Using 123
Mathcad
Example 4.2 Thermal Stress 123
Example 4.3 Force on a Mass 126
Additional Exercises 129
How to Solve Equations 135
Example 5.1 Free Vibration-Continous 136
Medium
Solving a Single Equation 137
Symbolically Solving an Equation 137
Traditional Methods for Solving a Single 139
Equation
Example 5.1 (Continued) Free Vibration 141
Example 5.1 (Continued) Free Vibration 143
Solving a Single Implicit Equation Using 145
Root
Solving a Single Implicit Equation Using 146
Given ... Find
Using the Symbolic Given...Find 147
Some Typical Errors Using Root and 148
Given...Find
Solving a Single Implicit Equation Using 149
Polyroots
Some Engineering Examples 150
Example 5.2 Automobile Drag 150
Example 5.3 Oxygen Depletion 153
Example 5.4 RLC Circuit 156
Simultaneous Equations Using Given ... Find 158
Using the Symbolic Given ... Find 159
Some Typical Errors Using Given ... Find 160
Some Engineering Examples 161
Example 5.5 DC Circuit 161
Example 5.6 Shphere Collision 163
Example 5.7 Wing Design 165
Comments and Summary 167
Where to Find More 167
Exercises 168
Vectors, matrices, and More 177
Example 6.1 Material Analysis 177
How to Create Matrices and Vectors in 180
Mathcad
Mathcad's Subscript Notaitons 181
Range Variables 183
Vector and Matrix Arithmetic 183
Vector Arthmetic 183
Matrix Arithmetic 184
Symbolic Vector and matrix Math 186
Some Engineering Examples 186
Example 6.2 Torque 186
Example 6.3 Airplane Relative Motion 188
Example 6.4 DC Circuit 189
Other Ways to Do Linear Algebra 191
Eigenvalues and Eigenvectors 192
Example 6.5 The Stress Tensor 193
Exercises 195
Solving Ordinary Differential Equations 205
Types of Differential Equations 205
Integrating First-Order Equations Using 207
Mathcad
Example 7.1 Draining of a Tank 208
Example 7.2 Lag in a Control System 212
Integrating a SEt of First-Order Equations 216
Example 7.3 Predator and Prey Populations 216
Integrating a Higher Order Equation Using 220
Mathcad
Example 7.4 Forced Damped Vibration 220
Example 7.5 Large Amplitude Pendulum 224
Additional Exercises 226
Doing Statistics with Mathcad 233
Statistical Properties of Data 234
Example 8.1 Cereal Box Production Line 235
Statistics
Fitting Equations to Data: Linear Regression 238
Example 8.2 pressure and Temperature of a 238
Gas
The Regression Concept 240
Doing a Linear Regression Using Matchad 243
Fitting Equations to Data: Nonlinear 246
Regression
Linearized Analysis 248
Example 8.3 Viscosity of Motir Oil 248
Doing a Polynomial fit with Mathcad 252
Example 8.4 Truck Horsepower Cure 253
Doing a Generalized Regression with 255
Mathcad
Example 8.5 Drug Absorption 255
Connecting the Dots: Cubic Splines 257
Example 8.6 Airfoil Profile 258
Probability Distributions 260
Example 8.7 Space Shuttle Height 260
Requirement
Where to Find More 262
Exercises 263
Importing and Exporting, the Web, and Some 271
Advanced Concepts
Importing and Exporting Data 271
Copying and Pasting Data 271
Using Matcad's Components Feature 276
Reading and Writing ASCIL Files 280
Using the World Wide Web 282
Some Advanced Topics 284
Potential Theory Using Complex Notation 284
Using Laplace Transforms 293
A Final Comment 297
Answer to Selected Exercises 301
Index 307

Auteur : PRITCHARD
Editeur : MAC GRAW HILL
Nombre de pages : 0
Date de publication : 02 1998

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