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

Cover of Doing Mathematics with 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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