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HP 50G - References
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Page 9-12
Refe
re
n
c
e
s
Additi
onal infor
mation on c
reating matr
ice
s, matr
i
x operati
ons, and matr
ix
appli
c
ations
in linear algebr
a is pr
es
ented in Chapt
ers 10 and 11 of the
calculator
’s user’s
guide
.
SG49
A.bo
ok
Page
12
Fri
day,
Sept
embe
r
16
,
20
05
1:31
PM
124
126
Table of Contents
Main Page
Default Chapter
4
Table of Contents
4
Chapter 1 - Getting Started
12
Basic Operations
12
Batteries
12
Turning the Calculator on and off
13
Adjusting the Display Contrast
13
Contents of the Calculator's Display
14
Menus
14
The TOOL Menu
14
Setting Time and Date
15
Introducing the Calculator's Keyboard
15
Selecting Calculator Modes
17
Operating Mode
18
Number Format and Decimal Dot or Comma
21
Standard Format
21
Fixed Format with Decimals
21
Scientific Format
22
Engineering Format
23
Decimal Comma Vs. Decimal Point
24
Angle Measure
25
Coordinate System
25
Selecting CAS Settings
26
Explanation of CAS Settings
27
Selecting Display Modes
28
Selecting the Display Font
29
Selecting Properties of the Line Editor
29
Selecting Properties of the Stack
30
Selecting Properties of the Equation Writer (EQW)
31
References
31
Editing Expressions in the Stack
32
Creating Arithmetic Expressions
32
Creating Algebraic Expressions
35
Chapter 2 - Introducing the Calculator
32
Calculator Objects
32
Using the Equation Writer (EQW) to Create Expressions
36
Creating Arithmetic Expressions
36
Creating Algebraic Expressions
38
Organizing Data in the Calculator
39
The HOME Directory
39
Subdirectories
40
Variables
40
Typing Variable Names
40
Creating Variables
41
Algebraic Mode
41
RPN Mode
42
Checking Variables Contents
44
Algebraic Mode
44
RPN Mode
44
Using the Right-Shift Key Followed by Soft Menu Key Labels
44
Listing the Contents of All Variables in the Screen
45
Deleting Variables
45
Using Function PURGE in the Stack in Algebraic Mode
45
Using Function PURGE in the Stack in RPN Mode
46
UNDO and CMD Functions
47
CHOOSE Boxes Vs. Soft MENU
47
References
49
Chapter 3 - Calculations with Real Numbers
50
Examples of Real Number Calculations
50
Using Powers of 10 in Entering Data
52
Real Number Functions in the MTH Menu
54
Using Calculator Menus
54
Hyperbolic Functions and Their Inverses
54
Operations with Units
56
The UNITS Menu
56
Available Units
58
Attaching Units to Numbers
58
Unit Prefixes
59
Operations with Units
60
Unit Conversions
61
Physical Constants in the Calculator
62
Defining and Using Functions
64
Reference
65
Chapter 4 - Calculations with Complex Numbers
66
Definitions
66
Setting the Calculator to COMPLEX Mode
66
Entering Complex Numbers
67
Polar Representation of a Complex Number
68
Simple Operations with Complex Numbers
69
The CMPLX Menus
69
CMPLX Menu through the MTH Menu
69
CMPLX Menu in Keyboard
71
Functions Applied to Complex Numbers
71
Function DROITE: Equation of a Straight Line
72
Reference
72
Chapter 5 - Algebraic and Arithmetic Operations
74
Entering Algebraic Objects
74
Simple Operations with Algebraic Objects
75
Functions in the ALG Menu
76
Operations with Transcendental Functions
78
Expansion and Factoring Using Log-Exp Functions
78
Expansion and Factoring Using Trigonometric Functions
79
Functions in the ARITHMETIC Menu
80
Polynomials
81
The HORNER Function
81
The Variable VX
81
The PCOEF Function
81
The PROOT Function
82
The QUOT and REMAINDER Functions
82
The PEVAL Function
82
Fractions
82
The SIMP2 Function
83
The PROPFRAC Function
83
The PARTFRAC Function
83
The FCOEF Function
83
The FROOTS Function
84
Step-By-Step Operations with Polynomials and Fractions
84
Reference
85
Chapter 6 - Solution to Equations
86
Symbolic Solution of Algebraic Equations
86
Function ISOL
86
Function SOLVE
87
Function SOLVEVX
89
Function ZEROS
89
Numerical Solver Menu
90
Polynomial Equations
91
Finding the Solutions to a Polynomial Equation
91
Generating Polynomial Coefficients Given the Polynomial's Roots
92
Generating an Algebraic Expression for the Polynomial
93
Financial Calculations
93
Solving Equations with One Unknown through NUM.SLV
94
Function STEQ
94
Solution to Simultaneous Equations with MSLV
95
Reference
96
Chapter 7 - Operations with Lists
98
Creating and Storing Lists
98
Operations with Lists of Numbers
98
Changing Sign
98
Addition, Subtraction, Multiplication, Division
99
Functions Applied to Lists
101
Lists of Complex Numbers
101
Lists of Algebraic Objects
102
The MTH/LIST Menu
102
The SEQ Function
104
The MAP Function
104
Reference
104
Chapter 8 - Vectors
106
Entering Vectors
106
Typing Vectors in the Stack
106
Storing Vectors into Variables in the Stack
107
Using the Matrix Writer (MTRW) to Enter Vectors
108
Simple Operations with Vectors
110
Changing Sign
110
Addition, Subtraction
110
Multiplication by a Scalar, and Division by a Scalar
111
Absolute Value Function
111
The MTH/VECTOR Menu
111
Magnitude
112
Dot Product
112
Cross Product
112
Reference
113
Chapter 9 - Matrices and Linear Algebra
114
Entering Matrices in the Stack
114
Using the Matrix Writer
114
Typing in the Matrix Directly into the Stack
115
Operations with Matrices
116
Addition and Subtraction
117
Multiplication
117
Multiplication by a Scalar
117
Matrix-Vector Multiplication
118
Matrix Multiplication
118
Term-By-Term Multiplication
119
Raising a Matrix to a Real Power
119
The Identity Matrix
120
The Inverse Matrix
120
Characterizing a Matrix (the Matrix NORM Menu)
121
Function DET
121
Function TRACE
121
Solution of Linear Systems
122
Using the Numerical Solver for Linear Systems
122
Solution with the Inverse Matrix
124
Solution by "Division" of Matrices
124
References
125
Chapter 10 - Graphics
126
Graphs Options in the Calculator
126
Plotting an Expression of the Form y = F(X)
127
Generating a Table of Values for a Function
129
Fast 3D Plots
130
Reference
132
Chapter 11 - Calculus Applications
134
The CALC (Calculus) Menu
134
Limits and Derivatives
134
Function Lim
134
Functions DERIV and DERVX
136
Anti-Derivatives and Integrals
136
Functions INT, INTVX, RISCH, SIGMA and SIGMAVX
136
Definite Integrals
137
Infinite Series
138
Functions TAYLR, TAYLR0, and SERIES
138
Reference
139
Chapter 12 - Multi-Variate Calculus Applications
140
Partial Derivatives
140
Multiple Integrals
141
Reference
141
Chapter 13 - Vector Analysis Applications
142
Gradient
142
Divergence
143
Curl
143
Reference
143
Chapter 14 - Differential Equations
144
The CALC/DIFF Menu
144
Solution to Linear and Non-Linear Equations
144
Function LDEC
144
Function DESOLVE
146
The Variable ODETYPE
146
Laplace Transforms
147
Laplace Transform and Inverses in the Calculator
147
Fourier Series
148
Function FOURIER
148
Fourier Series for a Quadratic Function
149
Reference
150
Chapter 15 - Probability Distributions
152
The MTH/PROBABILITY.. Sub-Menu - Part 1
152
Factorials, Combinations, and Permutations
152
Random Numbers
153
The MTH/PROB Menu - Part 2
154
The Normal Distribution
154
The Student-T Distribution
154
The Chi-Square Distribution
155
The F Distribution
155
Reference
155
Chapter 16 - Statistical Applications
156
Entering Data
156
Calculating Single-Variable Statistics
157
Sample Vs. Population
157
Obtaining Frequency Distributions
158
Fitting Data to a Function y = F(X)
160
Obtaining Additional Summary Statistics
161
Confidence Intervals
162
Hypothesis Testing
164
Reference
166
Chapter 17 - Numbers in Different Bases
168
The BASE Menu
168
Writing Non-Decimal Numbers
169
Reference
169
Chapter 18 - Using SD Cards
170
Inserting and Removing an SD Card
170
Formatting an SD Card
170
Accessing Objects on an SD Card
171
Storing Objects on the SD Card
171
Recalling an Object from the SD Card
172
Purging an Object from the SD Card
172
Purging All Objects on the SD Card (by Reformatting)
173
Specifying a Directory on an SD Card
173
Chapter 19 - Equation Library
174
Reference
177
Limited Warranty
178
Service
180
Regulatory Information
182
Canadian Notice
183
Avis Canadien
183
European Union Regulatory Notice
183
Disposal of Waste Equipment by Users in Private Household in the European Union
184
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