Introduction to Mathcad 15

Ronald Larsen, Ph.D., P.E., is the Department Head of the Chemical and Biological Engineering Department at Montana State University.

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 14 and 15? 9
1.8 Conventions Used 10
Key Terms 10
Problems 10
Answers to Selected Problems 11

2 • MATHCAD FUNDAMENTALS 12
2.1 The Mathcad Workspace 12
2.2 Controlling the Order of Solving Equations in Mathcad 14
2.3 Four Different Kinds of Equal Signs! 15
2.4 Entering an Equation 18
2.5 Modifying an Equation 24
2.6 Working with Units 32
2.7 Controlling How Results Are Displayed 39
2.8 Entering and Editing Text 42
2.9 A Simple Editing Session 46
2.10 Saving Your Worksheets 48
Key Terms 54
Problems 54
Solutions to Practice! Problems 63
Answers to Selected Problems 65

3 • MATHCAD FUNCTIONS 66
3.1 Mathcad Functions 66
3.2 Elementary Mathematics Functions and Operators 67
3.3 Trigonometric Functions 70
3.4 Functions for Handling Complex Numbers 74
3.5 Advanced Mathematics Functions 75
3.6 String Functions 84
3.7 User-Written Functions 85
Key Terms 90
Problems 91
Solutions to Practice! Problems 101
Answers to Selected Problems 103


4 • WORKING WITH MATRICES 104
4.1 Mathcad’s Matrix Definitions 104
4.2 Defining a Matrix 106
4.3 Matrix Math Operations 108
4.4 Solving Systems of Linear Algebraic Equations 113
4.5 Array Functions 117
4.6 Modifying Matrices 119
4.7 Additional Ways to Initialize Arrays 125
Key Terms 135
Problems 135
Solutions to Practice! Problems 146
Answers to Selected Problems 149

5 • DATA ANALYSIS FUNCTIONS 150
5.1 Graphing with Mathcad 150
5.2 Statistical Functions 166
5.3 Interpolation 170
5.4 Curve Fitting 174
Key Terms 191
Problems 191
Solutions to Practice! Problems 202
Answers to Selected Problems 208


6 • PROGRAMMING IN MATHCAD 209
6.1 Mathcad Programs 209
6.2 Writing a Simple Program 210
6.3 The Programming Toolbar 212
6.4 Program Flowcharts 213
6.5 Basic Elements of Programming 216
Key Terms 253
Problems 253
Solutions to Practice! Problems 264
Answers to Selected Problems 265


7 • SYMBOLIC MATH USING MATHCAD 266
7.1 Symbolic Math with Mathcad 266
7.2 Solving an Equation Symbolically 269
7.3 Manipulating Equations 271
7.4 Polynomial Coefficients 276
7.5 Symbolic Matrix Math 276
7.6 Symbolic Integration 278
7.7 Symbolic Differentiation 284
Key Terms 294
Problems 294
Solutions to Practice! Problems 301
Answers to Selected Problems 304


8 • NUMERICAL TECHNIQUES 305
8.1 Iterative Solutions 305
8.2 Numerical Integration 313
8.3 Numerical Differentiation 325
Key Terms 330
Problems 330
Solutions to Practice! Problems 338


9 • USING MATHCAD WITH OTHER PROGRAMS 343
9.1 Introduction 343
9.2 Mathcad and Microsoft Word 343
9.3 Mathcad and Microsoft Excel 347
9.4 Mathcad and Matlab 372
Key Terms 376
Problems 376
INDEX 381