## Doing Mathematics with Scientific WorkPlace® & Scientific Notebook® Version 6

 Darel W. Hardy and Carol L. Walker ©2011 539 pages ISBN: 0-9766806-1-0 Read more about Doing Mathematics with Scientific WorkPlace® & Scientific Notebook® Version 6 or about other books from MacKichan Software.

### Table of Contents

1  Basic Techniques for Doing Mathematics  1

Conventions  2

Inserting Text and Mathematics   3

Basic Guidelines for Computing   7

2   Numbers, Functions, and Units   19

Integers and Fractions  19

Elementary Number Theory  21

Real Numbers  23

Functions and Relations  27

Complex Numbers  32

Units and Measurements  33

Exercises  36

3   Algebra   39

Polynomials and Rational Expressions  39

Substitution  47

Solving Equations  48

Defining Variables and Functions  59

Exponents and Logarithms  65

Toolbars and Keyboard Shortcuts  69

Exercises  70

4   Trigonometry   75

Trigonometric Functions  75

Trigonometric Identities  80

Inverse Trigonometric Functions  83

Hyperbolic Functions   86

Complex Numbers and Complex Functions  89

Exercises  93

5   Function Definitions   99

Function and Expression Names  99

Defining Variables and Functions  103

Handling Definitions  115

Formulas  115

External Functions  119

Trigtype Functions  122

Exercises  124

6   Plotting Curves and Surfaces  129

Getting Started With 2D Plots  130

Interactive Tools for 2D Plots  138

Graph User Settings  140

2D Plots of Functions and Expressions  151

Creating Animated 2D Plots  165

Creating 3D Plots  171

Creating Animated 3D Plots  189

Exercises  196

7  Calculus  201

Evaluating Calculus Expressions  201

Limit  202

Differentiation  209

Indefinite Integration  226

Methods of Integration  228

Definite Integrals  231

Sequences and Series  260

Multivariable Calculus  268

Exercises  277

8  Matrix Algebra  285

Creating and Editing Matrices  286

Standard Operations  294

Row Operations and Echelon Forms  298

Equations  301

Matrix Operators  307

Polynomials and Vectors Associated with a Matrix  317

Vector Spaces Associated with a Matrix  321

Normal Forms of Matrices  326

Matrix Decompositions  334

Exercises  337

9  Vector Calculus  341

Vectors  341

Gradient, Divergence, Curl, and Related Operators  358

Plots of Vector Fields and Gradients  363

Scalar and Vector Potentials  372

Matrix-Valued Operators  375

Plots of Complex Functions  379

Exercises  381

10   Differential Equations  385

Ordinary Differential Equations  385

Systems  397

Numerical Methods  400

Exercises  407

11   Statistics  409

Introduction to Statistics  409

Measures of Central Tendency  411

Measures of Dispersion  416

Distributions and Densities  421

Families of Continuous Distributions  423

Families of Discrete Distributions  432

Random Numbers  435

Curve Fitting  436

Exercises  440

12  Applied Modern Algebra  445

Solving Equations  445

Integers Modulo m  448

Other Systems Modulo m  454

Polynomials Modulo Polynomials  456

Linear Programming  463

Exercises  466

A  Menus and Shortcuts for Doing Mathematics  473

Compute Menu  473

Toolbar and Keyboard Shortcuts for Compute Menu  488

B   Menus and Shortcuts for Entering Mathematics  489

Entering Mathematics and Text  490

Entering Mathematical Objects  491

Entering Symbols and Characters  492

Entering Units of Measure  496

C  Customizing the Program for Computing  505

Customizing the Toolbars  506

Customizing the Sidebars  507

Customizing the Compute Settings  507

Customizing the Plot Settings  511

Automatic Substitution  512

D   MuPAD Functions and Expressions  515

Constants  515

Compute Menu Items  516

Functions and Expressions  522

Index  527

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