Casio ClassPad 101 User's Guide Page 63
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Chapter 2: Main Application 63
Syntax:
laplace(
f ( t), t, s)
f ( t): expression ;
t: variable with respect to which the expression is
transformed ;
s: parameter of the transform
invLaplace(
L(s), s, t)
L(s): expression ;
s: variable with respect to which the expression is
transformed ;
t: parameter of the transform
ClassPad supports transform of the following functions.
sin(
x), cos(x), sinh(x), cosh(x), x
n
, 'x, e
x
, heaviside(x), delta(x), delta(x, n)
ClassPad does not support transform of the following functions.
tan(
x), sin
– 1
(x), cos
– 1
(x), tan
– 1
(x), tanh(x), sinh
– 1
(x), cosh
– 1
(x), tanh
– 1
(x), log(x), ln(x), 1/x, abs(x), gamma(x)
Laplace Transform of a Differential Equation
The laplace command can be used to solve ordinary differential equations. ClassPad does not support System
of Differential Equations for laplace.
Syntax: laplace(diff eq,
x , y , t )
diff eq: differential equation to solve ; x : independent variable in the diff eq ;
y : dependent variable in the diff eq ; t : parameter of the transform
Example: To solve a differential equation
x ’ + 2 x = e
−
t
where x (0) = 3 using the
Laplace transform
Lp means F ( s ) = L [ f ( t )] in the result of transform for a differential equation.
u fourier [Action][Advanced][fourier], invFourier [Action][Advanced][invFourier]
Function: “fourier” is the command for the Fourier Transform, and “invFourier” is the command for the inverse
Fourier Transform.
Syntax: fourier( f ( x), x, w, n) invFourier( f ( w), w, x, n)
x : variable with respect to which the expression is transformed with ; w : parameter of the transform ;
n : 0 to 4, indicating Fourier parameter to use (optional)
ClassPad supports transform of the following functions.
sin(
t), cos(t), log(t), ln(t), abs(t), signum(t), heaviside(t), delta(t), delta(t,n), e
ti
ClassPad does not support transform of the following functions.
tan(t), sin
– 1
(t), cos
– 1
(t), tan
– 1
(t), sinh(t), cosh(t), tanh(t), sinh
– 1
(t), cosh
– 1
(t), tanh
– 1
(t), gamma(t), 't , e
t
The Fourier Transform pairs are defined using two arbitrary constants a, b.
∫
∞
–∞
()
ω
(ω) =
⏐
⏐
(2
π)
1–
∫
∞
–∞
(ω)
–ω
ω
() =
⏐
⏐
(2
π)
1+
The values of a and b depend on the scientific discipline, which can be specified by the value of n (optional
fourth parameter of fourier and invFourier) as shown below.
- ClassPad II 1
- Backing Up Data 2
- Contents 3
- About This User’s Guide 9
- Chapter 1: 10
- 1-2 Power Supply 11
- Using the Application Menu 12
- Built-in Applications 12
- Application Window 13
- Using the O Menu 14
- 1-4 Input 15
- Soft Keyboard Key Sets 16
- Input Basics 17
- Message box 19
- ( ) 22
- 1-5 ClassPad Data 25
- Main Memory Data Types 26
- Main Memory Folders 26
- Using Variable Manager 27
- Selecting a Folder 28
- Managing Application Files 30
- Creating a New Variable 31
- Variable Usage Example 32
- “library” Folder Variables 32
- Application Format Settings 34
- k Graph Format Dialog Box 36
- k Geometry Format Dialog Box 38
- k Advanced Format Dialog Box 38
- 3. Reset the ClassPad 41
- Chapter 2: 42
- Main Application 42
- Using the e Key 43
- Calculation Priority Sequence 44
- Calculation Modes 44
- Complex Mode and Real Mode 45
- Angle Conversion (° 46
- Integer Functions 50
- Angle Symbol (∠) 52
- Derivative Symbol (’) 52
- Primality Test (isPrime) 53
- “with” Operator ( 53
- ∞, const, constn) 54
- n th-Delta Function 54
- 2-4 List Calculations 55
- Inputting Matrix Data 56
- Selecting a Number Base 58
- Arithmetic Operations 58
- Bitwise Operations 58
- 2-7 Using the Action Menu 59
- Example Screenshots 60
- L[ ()] ()= 62
- Using the Complex Submenu 67
- Using the List-Create Submenu 69
- Using the Vector Submenu 77
- ∞, and upper limit = ∞ 79
- Using the Assistant Submenu 82
- ∞, upper bound value = 36 83
- ∞, df = 18 84
- ∞, df = 4 85
- Using the Financial Submenu 88
- Using the Command Submenu 88
- Other Applications 89
- Using the Stat Editor Window 90
- Using the Geometry Window 91
- 2-10 Using Verify 92
- 2-11 Using Probability 92
- u To start up Probability 93
- Chapter 3: 95
- Graph & Table Application 95
- Graph window 96
- Table window 96
- 3-1 Storing Functions 97
- Graphing a Stored Function 98
- 3-2 Using the Graph Window 100
- Using View Window Memory 102
- Panning the Graph Window 103
- Scrolling the Graph Window 103
- Zooming the Graph Window 103
- Using Quick Zoom 104
- 3-3 Using Table & Graph 106
- (Link Trace) 107
- Generating a Summary Table 108
- 3-4 Using Trace 109
- 3-5 Using the Sketch Menu 110
- Using G-Solve Menu Commands 112
- 3-7 Modifying a Graph 113
- Chapter 4: 114
- Conics Application 114
- 4-1 Inputting an Equation 115
- 4-2 Drawing a Conics Graph 115
- Drawing a Circle 116
- Drawing an Ellipse 116
- Drawing a Hyperbola 116
- Drawing a General Conics 116
- Chapter 5: 118
- Function Graphs 123
- (y’, y”…, x) = 0 124
- Chapter 6: 125
- Sequence Application 125
- Generating a Number Table 126
- 6-2 Graphing a Recursion 127
- Chapter 7: 128
- Statistics Application 128
- u To create a list 129
- u To open an existing list 129
- u To close a list 129
- kPlot graphs 132
- u ClassPad Operation 135
- 1 2 63 3 4 4 4 75 137
- MSe Formulas 138
- 11 68 3 142
- 9 23 5 142
- Confidence Intervals 143
- Distributions 145
- : number of trials 146
- (x = 0, 1, 2, ...) 146
- : mean (0 < ) 146
- (x = 1, 2, 3, ...) 147
- Input and Output Terms 148
- Chapter 8: 150
- Geometry Application 150
- 8-1 Drawing Figures 151
- u To draw an ellipse 153
- u To draw a hyperbola 153
- u To draw a parabola 153
- u To draw a polygon 153
- Using the Construct Submenu 157
- u To construct a midpoint 158
- u To rotate a line segment 160
- 8-2 Editing Figures 161
- Moving and Copying Figures 162
- 8-4 Working with Animations 167
- u To trace a locus of points 168
- u To edit an animation 168
- Applications 170
- Chapter 9: 171
- Numeric Solver Application 171
- Chapter 10: 173
- u To insert a text row 174
- Expand button 175
- Tap here to display 175
- Application data strip list 176
- u To use a Geometry Link row 177
- File Compatibility 178
- Chapter 11: 179
- Financial Application 179
- Page Operations 180
- 11-3 Calculation Formulas 182
- ( ) 183
- Amortization 184
- Interest Conversion 184
- Cost/Sell/Margin 185
- Depreciation 185
- Bond Calculation 185
- (N–1+B/D ) 186
- (k–1+B/D ) 186
- Chapter 12: 189
- Program Application 189
- Creating a Program 190
- Pausing Program Execution 191
- Running a Program 192
- Terminating Program Execution 193
- Creating a Text File 193
- Using Text Files 194
- 12-2 Debugging a Program 195
- 12-3 User-defined Functions 196
- Using This Reference 198
- Syntax Conventions 198
- Command List 199
- M value, N value 205
- Chapter 13: 219
- Spreadsheet Application 219
- u Using the stylus 220
- Option Settings 221
- Selecting Cells 221
- Inputting Data into a Cell 222
- Inputting a Formula 222
- Inputting a Cell Reference 223
- Using the Cell Viewer Window 226
- 13-2 Graphing 229
- Graph Colors and Color Link 230
- MedMin MaxQ 234
- Other Graph Window Operations 236
- Distribution Calculations 240
- About DispStat Command 241
- Chapter 14: 243
- System Application 243
- Main Memory Sheet 244
- Configuring System Settings 245
- Warning! 246
- Chapter 15: 249
- Performing Data Communication 249
- Computer System Requirements 251
- Important! 251
- Auto Import of VCP Files 253
- VCP and XCP File Operations 253
- u To open a VCP file 254
- u To create a new VCP file 254
- ClassPads 255
- Communication Standby 257
- Precautions when Connecting 258
- Appendix 259
- System Variable Table 263
- Error Message Table 267
- Warning Message Table 269
- Low Memory Error Processing 270
- Number of Digits 271
- Precision 271
- Specifications 272
- CASIO COMPUTER CO., LTD 275
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