- •User’s Guide
- •Contents
- •About This Guide
- •Other Documentation
- •Other Resources
- •Technical Support
- •Comments
- •Chapter 1
- •Welcome to Mathcad
- •What Is Mathcad?
- •Highlights of the Mathcad 14 Release
- •Internationalization of Mathcad
- •Usability Features
- •New and Improved Functions
- •Math Enhancements
- •New Symbolics
- •PTC integration
- •System Requirements
- •Installation
- •Chapter 2
- •Getting Started with Mathcad
- •The Mathcad Workspace
- •Working with Worksheets
- •Regions
- •A Simple Calculation
- •Definitions and Variables
- •Defining Variables
- •Calculating Results
- •Defining a Function
- •Formatting a Result
- •Graphs
- •Creating a Basic Graph
- •Formatting a Graph
- •Saving, Printing, and Exiting
- •Saving a Worksheet
- •Printing
- •Exiting Mathcad
- •Chapter 3
- •Online Resources
- •Mathcad Resources
- •Resources Window and E-books
- •Finding Information in an E-book
- •Annotating an E-book
- •Web Browsing
- •Help
- •User Forums
- •Logging in
- •Communicating with Other Mathcad Users
- •Other Resources
- •Web Resources
- •Release Notes
- •Technical Support
- •Mathcad Downloads on the PTC Web Site
- •Chapter 4
- •Working with Math
- •Inserting Math
- •Numbers and Complex Numbers
- •Greek Letters
- •Inserting an Operator
- •Building Expressions
- •Typing in Names and Numbers
- •Controlling the Editing Lines
- •Typing in Operators
- •Multiplication
- •An Annotated Example
- •Editing Expressions
- •Changing a Name or Number
- •Inserting an Operator
- •Applying an Operator to an Expression
- •Deleting an Operator
- •Replacing an Operator
- •Inserting a Minus Sign
- •Inserting Parentheses
- •Deleting Parentheses
- •Moving Parts of an Expression
- •Deleting Parts of an Expression
- •Math Styles
- •Editing Math Styles
- •Applying Math Styles
- •Saving Math Styles
- •Chapter 5
- •Range Variables and Arrays
- •Creating Arrays
- •Vectors and Matrices
- •Insert Matrix Command
- •Iterative Calculations
- •Creating a Range Variable
- •Entering a Matrix as a Data Table
- •Accessing Array Elements
- •Subscripts
- •Accessing Rows and Columns
- •Changing the Array Origin
- •Displaying Arrays
- •Changing the Format of Displayed Elements
- •Copying and Pasting Arrays
- •Working with Arrays
- •Performing Calculations in Parallel
- •Graphical Display of Arrays
- •Chapter 6
- •Working with Text
- •Inserting Text
- •Creating a Text Region
- •Selecting Text
- •Greek Letters in Text
- •Changing the Width of a Text Region
- •Text and Paragraph Properties
- •Changing Text Properties
- •Changing Paragraph Properties
- •Text Styles
- •Applying a Text Style to a Paragraph in a Text Region
- •Modifying an Existing Text Style
- •Creating and Deleting Text Styles
- •Equations in Text
- •Inserting an Equation into Text
- •Text Tools
- •Find and Replace
- •Spell-Checking
- •Chapter 7
- •Mathcad Worksheets
- •Worksheets and Templates
- •Creating a New Worksheet
- •Opening a Worksheet
- •Saving Your Worksheet
- •Creating a New Mathcad Template
- •Modifying a Template
- •Rearranging Your Worksheet
- •Selecting Regions
- •Region Properties
- •Moving and Copying Regions
- •Deleting Regions
- •Aligning Regions
- •Inserting or Deleting Blank Space
- •Separating Regions
- •Highlighting Regions
- •Changing the Worksheet Background Color
- •Layout
- •Setting Margins, Paper Size, Source, and Orientation
- •Page Breaks
- •Headers and Footers
- •Safeguarding an Area of the Worksheet
- •Inserting an Area
- •Locking and Collapsing an Area
- •Unlocking and Expanding an Area
- •Deleting an Area
- •Worksheet Protection
- •Worksheet References
- •Hyperlinks
- •Creating Hyperlinks to a Mathcad File
- •Creating Hyperlinks to Other Files
- •Distributing Your Worksheets
- •Printing
- •Printing Wide Worksheets
- •Print Preview
- •Creating PDF Files
- •Creating E-books
- •Creating Web Pages and Sites
- •Saving Your Worksheet to Microsoft Word
- •Mailing
- •Chapter 8
- •Calculating in Mathcad
- •Defining and Evaluating Variables
- •Defining a Variable
- •Names
- •Built-in Variables
- •Evaluating Expressions Numerically
- •How Mathcad Scans a Worksheet
- •Global Definitions
- •Range Variables
- •Built-in Functions
- •Assistance for Using Built-in Functions
- •Applying a Function to an Expression
- •Defining and Evaluating Functions
- •Variables in User-Defined Functions
- •Recursive Function Definitions
- •Units and Dimensions
- •Dimensional Checking
- •Defining Your Own Units
- •Working with Results
- •Formatting Results
- •Displaying Units of Results
- •Copying and Pasting Numerical Results
- •Controlling Calculation
- •Calculating in Manual Mode
- •Interrupting Calculations
- •Disabling Equations
- •Error Messages
- •Finding the Source of an Error
- •Fixing Errors
- •Chapter 9
- •Solving
- •Solving and Optimization Functions
- •Finding Roots
- •Linear/Nonlinear System Solving and Optimization
- •Chapter 10
- •Overview
- •Inserting Pictures
- •Creating Pictures from Matrices
- •Formatting a Image
- •Inserting Objects
- •Inserting an Object into a Worksheet
- •Editing an Embedded Object
- •Editing a Link
- •Inserting Objects Computationally Linked to Your Worksheet
- •Chapter 11
- •2D Plots
- •Overview of 2D Plotting
- •Creating an X-Y Plot
- •Creating a Polar Plot
- •Graphing Functions and Expressions
- •2D QuickPlots
- •Defining an Independent Variable
- •Plotting Multiple 2D Curves
- •Creating a Parametric Plot
- •Plotting Vectors of Data
- •Plotting a Single Vector of Data
- •Plotting One Data Vector Against Another
- •Formatting a 2D Plot
- •Setting Axis Limits
- •Adding Custom Titles, Labels, and Other Annotations
- •Modifying a 2D Plot’s Perspective
- •Zooming in on a Plot
- •Getting a Readout of Plot Coordinates
- •Animations
- •Creating an Animation Clip
- •Playing an Animation Clip
- •Playing a Previously Saved Animation
- •Chapter 12
- •3D Plots
- •Overview of 3D Plotting
- •Inserting a 3D Plot
- •3D Plot Wizard
- •Creating 3D Plots of Functions
- •Creating a Surface, Bar, Contour, or Scatter Plot
- •Creating a Space Curve
- •Creating 3D Plots of Data
- •Creating a Surface, Bar, or Scatter Plot
- •Creating a Parametric Surface Plot
- •Creating a Three-dimensional Parametric Curve
- •Creating a Contour Plot
- •Graphing Multiple 3D Plots
- •Formatting a 3D Plot
- •The 3D Plot Format Dialog Box
- •Changing One 3D Plot to Another
- •Annotations
- •Modifying 3D QuickPlot Data
- •Chapter 13
- •Symbolic Calculation
- •Overview of Symbolic Math
- •Live Symbolic Evaluation
- •Using Keywords
- •Using More Than One Keyword
- •Keyword Modifiers
- •Ignoring Previous Definitions
- •Using the Symbolics Menu
- •Displaying Symbolic Results
- •Examples of Symbolic Calculation
- •Derivatives
- •Integrals
- •Limits
- •Solving an Equation for a Variable
- •Solving a System of Equations Symbolically: “Solve” Keyword
- •Solving a System of Equations Symbolically: Solve Block
- •Symbolic Matrix Manipulation
- •Index
Math Styles / 35
Tip You can drag and drop expressions, or even entire math regions, into placeholders in other expressions or into any blank space. If you’re trying to drop the expression into a placeholder, be sure to position the pointer carefully over the placeholder.
Deleting Parts of an Expression
If you want to remove part of an expression and replace it with what is currently on the Clipboard, do not use Cut because doing so puts the removed part on the Clipboard.
To delete part of an expression without placing it on the Clipboard:
1.Drag-select the part of the expression (in this case, the numerator) so that it is highlighted in reverse video.
2.Press [Delete] or [Backspace]. This removes the numerator and leaves behind a placeholder.
To recover the deleted part press [Ctrl] Z to Undo.
Note If you select an expression with the editing lines instead of drag-selecting as shown above, you must press [Backspace] or [Delete] twice to remove it.
Math Styles
You can use math styles to assign particular fonts, font sizes, font styles and effects, and colors to your math expressions.
Mathcad has predefined math styles that govern the default appearance of all the math in your worksheet, but you can define and apply additional styles.
Mathcad’s predefined math styles are:
•Variables: for all variables, letters, and operators in math regions.
•Constants: for all numbers in math regions.
•Math Text Font: for title and axes labels in graphs.
Editing Math Styles
To change Mathcad’s default style for all variables:
1.Click on a variable name in your worksheet.
2.Choose Equation from the Format menu. The style name “Variables” is selected.
3.Click “Modify” to change the font associated with the “Variables” style. You see a dialog box for changing fonts.
4.Any changes you make in the dialog box apply to all variables in your worksheet.
36 / Chapter 4 Working with Math
If you change the Variables style, you may also want to change the style used for numbers so that the two match.
1.Click on a number.
2.Choose Equation from the Format menu to see the Equation Format dialog box and select the style name “Constants.”
3.Follow the procedure given above for modifying the Variables style.
You can also use the Formatting toolbar to change the font, font size, or font style associated with a math style. For example, click on a variable, then click on the appropriate Formatting toolbar button to make variables bold, italic, or underlined or to specify the font or point size in the drop-down lists.
Note Changing font characteristics, particularly font sizes, may cause regions to overlap. You can separate overlapping regions by choosing Separate Regions from the Format menu.
To change the default color of all equations in your worksheet:
1.Choose Equation from the Format menu.
2.Select a color in the “Default Equation Color” drop-down list.
Applying Math Styles
The “Variables” and “Constants” styles govern the default appearance of all math in your worksheet. These two style names cannot be changed. You may, however, create and apply additional math styles.
To see what math style is currently assigned to a name or number, simply click on the name or number and look at the style window on the Formatting toolbar.
Alternatively, click the name or number and choose Equation from the Format menu. The math style appears in the drop-down list in the Equation Format dialog box.
You can apply a variety of math styles to:
•individual variable names in an expression, or
•individual numbers in a math expression (but not in computed results, which always display in the “Constants” style).
For example, you may want to show vectors in a bold, underlined font: 1. Choose Equation from the Format menu.
Math Styles / 37
2.Click the down arrow beside the name of the current math styles to see a drop-down list of available math styles.
3.Click on a math style name like “User 1” to select it. The name “User 1” should now appear in the “New Style Name” text box. Click in this text box and change the name to “Vectors.”
4.Click “Modify” to change this style to a bold, underlined font.
Now you have a math style called “Vectors” with the desired appearance.
Now rather than individually changing the font, font size, and font style for names of vectors, you can simply change the math style for all vectors.
Note All names, whether function names or variable names, are style sensitive. This means that x and x refer to different variables, and f(x) and f(x) refer to different functions. In deciding whether two variable names are the same, Mathcad actually checks math styles rather than fonts. To avoid using distinct variables that look identical, don’t create a math style with exactly the same font, size, and other characteristics as another math style.
Saving Math Styles
You can reuse math style information by saving a worksheet as a template. Choose Save As from the File menu and select “Mathcad XML Template (*.XMCT)” as the file type in the Save As dialog box.
To apply math style information to another worksheet, open your template from the File menu and copy the contents of the worksheet to the template. See “Worksheets and Templates” on page 61.
