Introduction to MathCAD 13

1 • MATHCAD: THE ENGINEER’S SCRATCH PAD 1

1.1 Introduction to Mathcad 1

1.2 Mathcad as a Design Tool 1

1.3 Mathcad as a Mathematical Problem Solver 7

1.4 Mathcad as a Unit Converter 7

1.5 Mathcad for Presenting Results 8

1.6 Mathcad’s Place in an Engineer’s Tool Kit 8

1.7 What’s New in Mathcad 13? 9

1.8 Conventions Used 10

Key Terms 10

Problems 10

 

2 • MATHCAD FUNDAMENTALS 12

Nanotechnology 12

2.1 The Mathcad Workspace 13

2.2 Controlling the Order of Solving Equations in Mathcad 15

2.3 Four Different Kinds of Equal Signs! 16

2.4 Entering an Equation 19

2.5 Modifying an Equation 25

2.6 Working with Units 33

2.7 Controlling How Results are Displayed 40

2.8 Entering and Editing Text 45

2.9 A Simple Editing Session 49

2.10 Saving Your Worksheets 51

Summary 55

Mathcad Summary 55

Key Terms 57

Problems 57

 

3 • MATHCAD FUNCTIONS 69

Optics 69

3.1 Mathcad Functions 70

3.2 Elementary Mathematics Functions and Operators 70

3.3 Trigonometric Functions 73

3.4 Functions for Handling Complex Numbers 77

3.5 Advanced Mathematics Functions 78

3.6 String Functions 87

3.7 User-Written Functions 88

Summary 91

Mathcad Summary 91

Key Terms 93

Problems 93

 

4 • WORKING WITH MATRICES 104

Total Recycle 104

4.1 Mathcad’s Matrix Definitions 105

4.2 Defining a Matrix 106

4.3 Matrix Math Operations 110

4.4 Solving Systems of Linear Algebraic Equations 115

4.5 Array Functions 120

4.6 Modifying Matrices 123

4.7 Additional Ways to Initialize Arrays 130

Summary 143

Mathcad Summary 143

Key Terms 144

Problems 144

 

5 • DATA ANALYSIS FUNCTIONS 155

Risk Analysis 155

5.1 Graphing with Mathcad 155

5.2 Statistical Functions 173

5.3 Interpolation 177

5.4 Curve Fitting 182

Summary 199

Mathcad Summary 199

Key Terms 201

Problems 201

 

6 • PROGRAMMING IN MATHCAD 213

New Energy Sources 213

6.1 Mathcad Programs 213

6.2 Writing a Simple Program 214

6.3 The Programming Toolbar 216

6.4 Program Flowcharts 217

6.5 Basic Elements of Programming 220

Summary 257

Key Terms 259

Problems 259

 

7 • MATHCAD’S SYMBOLIC MATH CAPABILITIES 269

Composite Materials 269

7.1 Symbolic Math with Mathcad 269

7.2 Solving an Equation Symbolically 273

7.3 Manipulating Equations 275

7.4 Polynomial Coefficients 281

7.5 Symbolic Matrix Math 282

7.6 Symbolic Integration 285

7.7 Symbolic Differentiation 294

Summary 300

Mathcad Summary 301

Key Terms 302

Problems 303

 

8 • NUMERICAL TECHNIQUES 310

Engineering in Medicine 310

8.1 Iterative Solutions 310

8.2 Numerical Integration 317

8.3 Numerical Differentiation 330

Summary 338

Mathcad Summary 339

Key Terms 339

Problems 340

 

9 • USING MATHCAD WITH OTHER PROGRAMS 347

9.1 Introduction 347

9.2 Mathcad and Microsoft Word 347

9.3 Mathcad and Microsoft Excel 349

9.4 Mathcad and Matlab 374

Summary 376

Problems 378