| Choosing a Product |
| Scientific WorkPlace |
| Scientific Word |
| Scientific Notebook |
| Calculus:
Concepts and Methods CD |
| Software Licenses |
| Books |
| Choosing a Product |
| Scientific WorkPlace |
| Scientific Word |
| Scientific Notebook |
| Calculus:
Concepts and Methods CD |
| Software Licenses |
| Books |
 |
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. |
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