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F2226A - 48GII Graphic Calculator
HP F2226A - 48GII Graphic Calculator Manuals
Manuals and User Guides for HP F2226A - 48GII Graphic Calculator. We have
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HP F2226A - 48GII Graphic Calculator manual available for free PDF download: User Manual
HP F2226A - 48GII Graphic Calculator User Manual (864 pages)
graphing calculator
Brand:
HP
| Category:
Calculator
| Size: 9.97 MB
Table of Contents
Table of Contents
5
Chapter 1 - Getting Started
30
Basic Operations
30
Batteries
30
Adjusting the Display Contrast
31
Contents of the Calculator's Display
31
Turning the Calculator on and off
31
Menus
32
SOFT Menus Vs. CHOOSE Boxes
33
Selecting SOFT Menus or CHOOSE Boxes
34
The TOOL Menu
35
Setting Time and Date
36
Introducing the Calculator's Keyboard
39
Selecting Calculator Modes
41
Operating Mode
42
Number Format and Decimal Dot or Comma
46
Angle Measure
51
Coordinate System
51
Beep, Key Click, and Last Stack
53
Selecting cas Settings
54
Selecting Display Modes
54
Selecting the Display Font
55
Selecting Properties of the Line Editor
56
Selecting Properties of the Stack
56
Selecting Properties of the Equation Writer (EQW)
57
Selecting the Size of the Header
58
Selecting the Clock Display
58
Chapter 2 - Introducing the Calculator
59
Calculator Objects
59
Editing Expressions in the Screen
61
Creating Arithmetic Expressions
61
Editing Arithmetic Expressions
64
Creating Algebraic Expressions
65
Editing Algebraic Expressions
66
Using the Equation Writer (EQW) to Create Expressions
68
Creating Arithmetic Expressions
69
Editing Arithmetic Expressions
74
Creating Algebraic Expressions
77
Editing Algebraic Expressions
78
Creating and Editing Summations, Derivatives, and Integrals
86
Organizing Data in the Calculator
90
Functions for Manipulation of Variables
91
The HOME Directory
92
The CASDIR Sub-Directory
93
Typing Directory and Variable Names
95
Creating Subdirectories
96
Moving Among Subdirectories
100
Deleting Subdirectories
100
Variables
104
Creating Variables
104
Checking Variable Contents
109
Replacing the Contents of Variables
111
Copying Variables
112
Reordering Variables in a Directory
115
Moving Variables Using the FILES Menu
116
Deleting Variables
117
UNDO and CMD Functions
119
Flags
120
Example of Flag Setting: General Solution Vs. Principal Value
121
Other Flags of Interest
122
CHOOSE Boxes Vs. SOFT Menus
123
Selected CHOOSE Boxes
124
Chapter 3 - Simple Calculations with Real Numbers , 3-1
126
Checking Calculator Settings
126
Checking Calculator Mode
127
Real Number Calculations
127
Changing Sing of a Number, Variable, or Expression
128
The Inverse Function
128
Addition, Subtraction, Multiplication, Division
128
Using Parentheses
129
Absolute Value Function
129
Squares and Square Roots
129
Base-10 Logarithms and Powers of 10
130
Powers and Roots
130
Using Powers of 10 in Entering Data
130
Natural Logarithms and Exponential Function
131
Trigonometric Functions
131
Inverse Trigonometric Functions
131
Differences between Functions and Operators
132
Real Number Functions in the MTH Menu
132
Hyperbolic Functions and Their Inverses
134
Real Number Functions
136
Special Functions
139
Calculator Constants
141
Operation with Units
142
The UNITS Menu
142
Available Units
143
Converting to Base Units
146
Attaching Units to Numbers
147
Operations with Units
150
Units Manipulation Tools
152
Physical Constants in the Calculator
154
Special Physical Functions
156
Function ZFACTOR
157
Function F0Λ
157
Function SIDENS
158
Function TDELTA
158
Function TINC
158
Defining and Using Functions
159
Functions Defined by more than One Expression
160
The IFTE Function
161
Combined IFTE Functions
161
Chapter 4 - Calculations with Complex Numbers
163
Definitions
163
Setting the Calculator to COMPLEX Mode
163
Entering Complex Numbers
164
Polar Representation of a Complex Number
165
Simple Operations with Complex Numbers
166
Changing Sign of a Complex Number
166
Entering the Unit Imaginary Number
167
The CMPLX Menus
167
CMPLX Menu through the MTH Menu
167
CMPLX Menu in Keyboard
169
Functions Applied to Complex Numbers
170
Functions from the MTH Menu
170
Function DROITE: Equation of a Straight Line
171
Chapter 5 - Algebraic and Arithmetic Operations
172
Entering Algebraic Objects
172
Simple Operations with Algebraic Objects
173
Functions in the ALG Menu
174
Collect
174
Factor
176
Expand
176
Lncollect
176
Lin
176
Partfrac
176
Solve
176
Subst
176
Texpand
176
Other Forms of Substitution in Algebraic Expressions
177
Operations with Transcendental Functions
178
Expansion and Factoring Using Log-Exp Functions
179
Expansion and Factoring Using Trigonometric Functions
179
Functions in the ARITHMETIC Menu
180
Divis
181
Factors
181
Lgcd
181
Propfrac
181
Simp2
181
INTEGER Menu
181
POLYNOMIAL Menu
182
MODULO Menu
183
Applications of the ARITHMETIC Menu
183
Modular Arithmetic
183
Polynomials
189
Modular Arithmetic with Polynomials
189
The CHINREM Function
190
The EGCD Function
190
The GCD Function
190
The HERMITE Function
191
The HORNER Function
191
The Variable VX
191
The LAGRANGE Function
192
The LCM Function
192
The LEGENDRE Function
193
The PCOEF Function
193
The PROOT Function
193
The PTAYL Function
193
The EPSX0 Function and the cas Variable EPS
194
The PEVAL Function
194
The TCHEBYCHEFF Function
195
Fractions
195
The SIMP2 Function
195
The PROPFRAC Function
195
The PARTFRAC Function
196
The FCOEF Function
196
The FROOTS Function
197
The CONVERT Menu and Algebraic Operations
198
UNITS Convert Menu
198
BASE Convert Menu
199
TRIGONOMETRIC Convert Menu
199
MATRICES Convert Menu
199
REWRITE Convert Menu
199
Chapter 6 - Solution to Single Equations
202
Symbolic Solution of Algebraic Equations
202
Function ISOL
202
Function SOLVE
203
Function SOLVEVX
205
Function ZEROS
205
Numerical Solver Menu
206
Polynomial Equations
207
Financial Calculations
210
Solving Equations with One Unknown through NUM.SLV
215
The SOLVE Soft Menu
228
The ROOT Sub-Menu
228
Function ROOT
228
Variable EQ
228
The SOLVR Sub-Menu
229
The DIFFE Sub-Menu
231
The POLY Sub-Menu
231
The SYS Sub-Menu
232
The TVM Sub-Menu
232
Chapter 7 - Solving Multiple Equations
235
Rational Equation Systems
235
Example 1 - Projectile Motion
235
Example 2 - Stresses in a Thick Wall Cylinder
236
Example 3 - System of Polynomial Equations
238
Solution to Simultaneous Equations with MSLV
238
Example 1 - Example from the Help Facility
239
Example 2 - Entrance from a Lake into an Open Channel
240
Using the Multiple Equation Solver (MES)
244
Application 1 - Solution of Triangles
244
Application 2 - Velocity and Acceleration in Polar Coordinates
252
Chapter 8 - Operations with Lists
256
Definitions
256
Creating and Storing Lists
256
Composing and Decomposing Lists
257
Operations with Lists of Numbers
258
Changing Sign
258
Addition, Subtraction, Multiplication, Division
258
Real Number Functions from the Keyboard
260
Real Number Functions from the MTH Menu
260
Examples of Functions that Use Two Arguments
261
Lists of Complex Numbers
262
Lists of Algebraic Objects
263
The MTH/LIST Menu
263
Manipulating Elements of a List
265
List Size
265
Extracting and Inserting Elements
265
Element Position in the List
266
HEAD and TAIL Functions
266
The SEQ Function
266
The MAP Function
267
Defining Functions that Use Lists
268
Applications of Lists
269
Harmonic Mean of a List
270
Geometric Mean of a List
271
Weighted Average
272
Statistics of Grouped Data
273
Chapter 9 - Vectors
276
Definitions
276
Entering Vectors
277
Typing Vectors in the Stack
277
Storing Vectors into Variables
278
Using the Matrix Writer (MTWR) to Enter Vectors
278
Building a Vector with ARRY
281
Identifying, Extracting, and Inserting Vector Elements
282
Simple Operations with Vectors
284
Changing Sign
284
Addition, Subtraction
284
Absolute Value Function
285
The MTH/VECTOR Menu
285
Magnitude
286
Dot Product
286
Cross Product
286
Building a Two-Dimensional Vector
287
Decomposing a Vector
287
Building a Three-Dimensional Vector
288
Changing Coordinate System
288
Application of Vector Operations
291
Resultant of Forces
291
Angle between Vectors
291
Moment of a Force
292
Equation of a Plane in Space
293
Row Vectors, Column Vectors, and Lists
294
Function OBJ
295
Function LIST
295
Function DROP
296
Transforming a Row Vector into a Column Vector
296
Transforming a Column Vector into a Row Vector
297
Transforming a List into a Vector
299
Transforming a Vector (or Matrix) into a List
300
Definitions
301
Chapter 10 - Creating and Manipulating Matrices
301
Entering Matrices in the Stack
302
Using the Matrix Writer
302
Typing the Matrix Directly into the Stack
303
Creating Matrices with Calculator Functions
303
Functions GET and PUT
306
Functions GETI and PUTI
306
Function SIZE
307
Function TRN
308
Function con
308
Function IDN
309
Function RDM
310
Function RANM
311
Function SUB
311
Function REPL
312
Function DIAG
313
Function VANDERMONDE
314
Function HILBERT
314
A Program to Build a Matrix out of a Number of Lists
315
Lists Represent Columns of the Matrix
315
Lists Represent Rows of the Matrix
317
Function COL
318
Manipulating Matrices by Columns
318
Col
319
Function COL
319
Function COL
320
Function CSWP
321
Manipulating Matrices by Rows
321
Function ROW
322
Function ROW
323
Row
323
Function ROW Function ROW
324
Function ROW
324
Function RCI
325
Function RSWP
325
Function RCIJ
326
Chapter 11 - Matrix Operations and Linear Algebra
327
Operations with Matrices
327
Addition and Subtraction
328
Multiplication
328
Characterizing a Matrix (the Matrix NORM Menu)
332
Function ABS
333
Function SNRM
333
Functions RNRM and CNRM
334
Function SRAD
335
Function COND
335
Function RANK
336
Function DET
337
Function TRACE
339
Function TRAN
340
Function ABS
340
Additional Matrix Operations (the Matrix OPER Menu)
340
Function AXL
341
Function AXM
341
Function LCXM
341
Solution of Linear Systems
342
Using the Numerical Solver for Linear Systems
343
Least-Square Solution (Function LSQ)
349
Solution with the Inverse Matrix
352
Solution by "Division" of Matrices
352
Solving Multiple Set of Equations with the same Coefficient Matrix
353
Gaussian and Gauss-Jordan Elimination
354
Step-By-Step Calculator Procedure for Solving Linear Systems
363
Solution to Linear Systems Using Calculator Functions
366
Residual Errors in Linear System Solutions (Function RSD)
369
Eigenvalues and Eigenvectors
370
Function PCAR
370
Function EGVL
371
Function EGV
372
Function JORDAN
373
Function MAD
373
Matrix Factorization
374
Function LU
375
Orthogonal Matrices and Singular Value Decomposition
375
Function SCHUR
376
Function LQ
377
Function QR
377
Matrix Quadratic Forms
377
The QUADF Menu
378
Linear Applications
380
Function IMAGE
380
Function ISOM
380
Function KER
381
Function MKISOM
381
Chapter 12 - Graphics
382
Graphs Options in the Calculator
382
Plotting an Expression of the Form y = F(X)
383
Some Useful PLOT Operations for FUNCTION Plots
386
Saving a Graph for Future Use
388
Graphics of Transcendental Functions
389
Graph of Ln(X)
389
Graph of the Exponential Function
391
The PPAR Variable
392
Inverse Functions and Their Graphs
393
Summary of FUNCTION Plot Operation
394
Plots of Trigonometric and Hyperbolic Functions and Their Inverses
397
Generating a Table of Values for a Function
398
The TPAR Variable
399
Plots in Polar Coordinates
400
Plotting Conic Curves
402
Parametric Plots
404
Plotting the Solution to Simple Differential Equations
407
Truth Plots
410
Plotting Histograms, Bar Plots, and Scatterplots
411
Bar Plots
411
Scatter Plots
413
Slope Fields
415
Fast 3D Plots
416
Wireframe Plots
418
Ps-Contour Plots
420
Y-Slice Plots
422
Gridmap Plots
423
Pr-Surface Plots
424
The VPAR Variable
425
Interactive Drawing
425
DOT+ and DOT
426
Line
427
Mark
427
Tline
427
Box
428
Circl
428
Del
428
Label
428
Erase
429
Menu
429
Pict
429
Sub
429
X,Y
429
Repl
429
Zooming in and out in the Graphics Display
430
ZFACT, ZIN, ZOUT, and ZLAST
430
Boxz
431
Cntr
431
HZIN, HZOUT, VZIN and VZOUT
431
Zdeci
431
Zdflt, Zauto
431
Zintg
432
Zsqr
432
Ztrig
432
The SYMBOLIC Menu and Graphs
432
The SYMB/GRAPH Menu
433
Function DRAW3DMATRIX
435
Chapter 13 - Calculus Applications
436
The CALC (Calculus) Menu
436
Limits and Derivatives
436
Function Lim
437
The DERIV&INTEG Menu
438
Derivatives
438
Implicit Derivatives
442
Application of Derivatives
442
Function DOMAIN
444
Function TABVAL
444
Function SIGNTAB
445
Function TABVAR
445
Using Derivatives to Calculate Extreme Points
447
Higher-Order Derivatives
448
Integrating an Equation
453
Techniques of Integration
453
Substitution or Change of Variables
453
Integration with Units
456
Infinite Series
458
Chapter 14 - Multi-Variate Calculus Applications
462
Multi-Variate Functions
462
Partial Derivatives
462
Higher-Order Derivatives
464
The Chain Rule for Partial Derivatives
465
Determining Extrema in Functions of Two Variables
466
Total Differential of a Function Z = Z(X,Y)
466
Using Function HESS to Analyze Extrema
467
Multiple Integrals
469
Jacobian of Coordinate Transformation
470
Double Integral in Polar Coordinates
470
Chapter 15 - Vector Analysis Applications
472
Definitions
472
Gradient and Directional Derivative
472
A Program to Calculate the Gradient
473
Using Function HESS to Obtain the Gradient
473
Potential of a Gradient
474
Divergence
475
Laplacian
475
Curl
476
Irrotational Fields and Potential Function
476
Vector Potential
477
Chapter 16 - Differential Equations
479
Basic Operations with Differential Equations
479
Entering Differential Equations
479
Checking Solutions in the Calculator
480
Slope Field Visualization of Solutions
481
The CALC/DIFF Menu
482
Solution to Linear and Non-Linear Equations
482
Function LDEC
483
Function DESOLVE
485
The Variable ODETYPE
486
Laplace Transforms
488
Definitions
488
Laplace Transform and Inverses in the Calculator
489
Laplace Transform Theorems
490
Dirac's Delta Function and Heaviside's Step Function
493
Fourier Series
505
Function FOURIER
506
Fourier Series for a Quadratic Function
507
Fourier Series for a Triangular Wave
513
Fourier Series for a Square Wave
517
Fourier Series Applications in Differential Equations
520
Fourier Transforms
521
Definition of Fourier Transforms
524
Properties of the Fourier Transform
526
Fast Fourier Transform (FFT)
527
Examples of FFT Applications
528
Solution to Specific Second-Order Differential Equations
531
The Cauchy or Euler Equation
531
Legendre's Equation
532
Bessel's Equation
533
Chebyshev or Tchebycheff Polynomials
535
Laguerre's Equation
536
Weber's Equation and Hermite Polynomials
537
Numerical and Graphical Solutions to Odes
538
Numerical Solution of First-Order ODE
538
Graphical Solution of First-Order ODE
540
Numerical Solution of Second-Order ODE
542
Graphical Solution for a Second-Order ODE
544
Numerical Solution for Stiff First-Order ODE
546
Numerical Solution to Odes with the SOLVE/DIFF Menu
547
Function RKF
548
Function RRK
549
Function RKFSTEP
550
Function RRKSTEP
551
Function RKFERR
552
Function RSBERR
552
Chapter 17 - Probability Applications
554
The MTH/PROBABILITY.. Sub-Menu - Part 1
554
Factorials, Combinations, and Permutations
554
Random Numbers
555
Binomial Distribution
557
Poisson Distribution
558
Continuous Probability Distributions
559
The Gamma Distribution
559
Continuous Distributions for Statistical Inference
562
Normal Distribution Pdf
562
Normal Distribution Cdf
563
The Chi-Square Distribution
564
The Student-T Distribution
564
Inverse Cumulative Distribution Functions
566
Chapter 18 - Statistical Applications
572
Pre-Programmed Statistical Features
572
Entering Data
572
Calculating Single-Variable Statistics
573
Obtaining Frequency Distributions
576
Fitting Data to a Function y = F(X)
581
Obtaining Additional Summary Statistics
584
Calculation of Percentiles
585
The STAT Soft Menu
586
The DATA Sub-Menu
586
The ΣPAR Sub-Menu
587
The 1VAR Sub-Menu
587
The PLOT Sub-Menu
588
The FIT Sub-Menu
589
Example of STAT Menu Operations
589
Confidence Intervals
593
Confidence Intervals for the Population Mean When the Population Variance Is Known
594
Definitions
594
Estimation of Confidence Intervals
594
Confidence Interval for a Proportion
595
Confidence Intervals for the Population Mean When the Population Variance Is Unknown
595
Sampling Distributions of Differences and Sums of Statistics
596
Confidence Intervals for Sums and Differences of Mean Values
597
Determining Confidence Intervals
598
Confidence Intervals for the Variance
604
Hypothesis Testing
605
Procedure for Testing Hypotheses
606
Errors in Hypothesis Testing
606
Inferences Concerning One Mean
607
Inferences Concerning Two Means
610
Paired Sample Tests
611
Inferences Concerning One Proportion
612
Testing the Difference between Two Proportions
613
Hypothesis Testing Using Pre-Programmed Features
614
Inferences Concerning One Variance
618
Inferences Concerning Two Variances
619
Additional Notes on Linear Regression
620
The Method of Least Squares
620
Additional Equations for Linear Regression
622
Prediction Error
622
Confidence Intervals and Hypothesis Testing in Linear Regression
623
Procedure for Inference Statistics for Linear Regression Using the Calculator
624
Multiple Linear Fitting
627
Polynomial Fitting
629
Selecting the Best Fitting
633
Definitions
636
Chapter 19 - Numbers in Different Bases
636
The BASE Menu
636
Conversion between Number Systems
638
Wordsize
639
Operations with Binary Integers
639
The LOGIC Menu
640
The BIT Menu
641
The BYTE Menu
641
Hexadecimal Numbers for Pixel References
642
Chapter 20 - Customizing Menus and Keyboard
643
The PRG/MODES/MENU
643
Menu Numbers (RCLMENU and MENU Functions)
644
Custom Menus (MENU and TMENU Functions)
644
Menu Specification and CST Variable
646
Customizing the Keyboard
647
The PRG/MODES/KEYS Sub-Menu
647
Recall Current User-Defined Key List
648
Assign an Object to a User-Defined Key
648
Operating User-Defined Keys
648
Un-Assigning a User-Defined Key
649
Assigning Multiple User-Defined Key
649
Chapter 21 - Programming in User RPL Language
650
An Example of Programming
650
Global and Local Variables and Subprograms
651
Global Variable Scope
653
Local Variable Scope
654
The PRG Menu
654
Navigating through RPN Sub-Menus
655
Functions Listed by Sub-Menu
655
Shortcuts in the PRG Menu
658
Keystroke Sequence for Commonly Used Commands
659
Programs for Generating Lists of Numbers
662
Examples of Sequential Programming
664
Programs Generated by Defining a Function
664
Programs that Simulate a Sequence of Stack Operations
666
Interactive Input in Programs
668
Prompt with an Input String
670
A Function with an Input String
671
Input String for Two or Three Input Values
673
Input through Input Forms
676
Creating a Choose Box
680
Identifying Output in Programs
682
Tagging a Numerical Result
682
De-Tagging" a Tagged Quantity
682
Examples of Tagged Output
683
Using a Message Box
686
Relational and Logical Operators
692
Relational Operators
692
Logical Operators
693
Program Branching
695
Branching with if
695
The CASE Construct
700
Program Loops
702
The START Construct
702
The for Construct
708
The DO Construct
710
The WHILE Construct
711
Errors and Error Trapping
713
Doerr
713
Errn
713
Errm
714
Err0
714
Lastarg
714
Sub-Menu IFERR
714
User RPL Programming in Algebraic Mode
715
Chapter 22 - Programs for Graphics Manipulation
717
The PLOT Menu
717
User-Defined Key for the PLOT Menu
717
Description of the PLOT Menu
718
Generating Plots with Programs
730
Two-Dimensional Graphics
730
Three-Dimensional Graphics
731
Examples of Interactive Plots Using the PLOT Menu
731
The Variable EQ
731
Examples of Program-Generated Plots
733
Drawing Commands for Use in Programming
735
Line
736
Pdim
736
Pict
736
Tline
736
Arc
737
Box
737
PIX?, PIXON, and PIXOFF
738
Pview
738
Programming Examples Using Drawing Functions
738
Pixel Coordinates
741
Animating Graphics
742
Animating a Collection of Graphics
743
More Information on the ANIMATE Function
745
Graphic Objects (Grobs)
746
The GROB Menu
747
A Program with Plotting and Drawing Functions
749
Modular Programming
752
Running the Program
752
A Program to Calculate Principal Stresses
754
A Second Example of Mohr's Circle Calculations
755
Ordering the Variables in the Sub-Directory
755
An Input Form for the Mohr's Circle Program
756
Chapter 23 - Character Strings
758
String-Related Functions in the TYPE Sub-Menu
758
String Concatenation
759
The CHARS Menu
759
The Characters List
760
Chapter 24 - Calculator Objects and Flags
762
Description of Calculator Objects
762
Function TYPE
763
Function VTYPE
763
Calculator Flags
764
System Flags
764
Functions for Setting and Changing Flags
764
User Flags
765
Chapter 25 - Date and Time Functions
766
The TIME Menu
766
Setting an Alarm
766
Browsing Alarms
767
Setting Time and Date
767
TIME Tools
767
Calculations with Dates
768
Alarm Functions
769
Chapter 26 - Managing Memory
770
Memory Structure
770
The HOME Directory
771
Port Memory
771
Checking Objects in Memory
771
Backup Objects
772
Backing up Objects in Port Memory
772
Backing up and Restoring HOME
772
Storing, Deleting, and Restoring Backup Objects
774
Using Data in Backup Objects
774
Using Libraries
775
Installing and Attaching a Library
775
Library Numbers
776
Creating Libraries
776
Deleting a Library
776
Backup Battery
776
Appendix A - Using Input Forms
778
Appendix B - the Calculator's Keyboard
782
Appendix C - cas Settings
795
Appendix D Additional Character Set
809
Appendix E - the Selection Tree in the Equation Writer
812
Appendix F - the Applications (APPS) Menu
816
Numeric Solver
818
Math Menu
820
Cas Menu
821
Appendix G - Useful Shortcuts
822
Appendix H - the cas Help Facility
825
Appendix I - Command Catalog List
827
Appendix J - the MATHS Menu
828
Appendix K - the MAIN Menu
831
Appendix L - Line Editor Commands
836
Appendix M Index
841
String Concatenation
857
Limited Warranty
861
Service
862
Regulatory Information
864
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