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HP 49g+ User Manual
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Pag
e 5-3
In ALG m
ode, the foll
owing keystrokes will
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-
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80
82
Table of Contents
Default Chapter
5
Table of Contents
5
Chapter 1 - Getting Started
13
Basic Operations
13
Batteries
13
Adjusting the Display Contrast
14
Contents of the Calculator's Display
14
Turning the Calculator on and off
14
Menus
15
The TOOL Menu
15
Setting Time and Date
16
Introducing the Calculator's Keyboard
16
Selecting Calculator Modes
18
Operating Mode
19
Number Format and Decimal Dot or Comma
22
Fixed Format with Decimals
23
Standard Format
23
Scientific Format
24
Engineering Format
25
Decimal Comma Vs. Decimal Point
26
Angle Measure
26
Coordinate System
27
Selecting cas Settings
28
Explanation of cas Settings
29
Selecting Display Modes,1-17
29
Selecting the Display Font
30
Selecting Properties of the Line Editor
31
Selecting Properties of the Stack
32
Selecting Properties of the Equation Writer (EQW)
33
References
33
Chapter 2 - Introducing the Calculator
34
Calculator Objects
34
Editing Expressions in the Stack
34
Creating Arithmetic Expressions
34
Creating Algebraic Expressions
37
Using the Equation Writer (EQW) to Create Expressions
38
Creating Arithmetic Expressions
38
Creating Algebraic Expressions
41
Organizing Data in the Calculator
42
The HOME Directory
42
Subdirectories
42
Variables
43
Typing Variable Names
43
Creating Variables
44
Algebraic Mode
44
RPN Mode
46
Algebraic Mode
47
Checking Variables Contents
47
RPN Mode
47
Listing the Contents of All Variables in the Screen
48
Using the Right-Shift Key Followed by Soft Menu Key Labels
48
Deleting Variables
49
Using Function PURGE in the Stack in Algebraic Mode
49
Using Function PURGE in the Stack in RPN Mode
49
UNDO and CMD Functions
50
CHOOSE Boxes Vs. Soft MENU
50
References
53
Chapter 3 - Calculations with Real Numbers
54
Examples of Real Number Calculations
54
Using Power of 10 in Entering Data
57
Real Number Functions in the MTH Menu
59
Using Calculator Menus
59
Hyperbolic Functions and Their Inverses
59
Operations with Units
61
The UNITS Menu
61
Available Units
63
Attaching Units to Numbers
64
Unit Prefixes
64
Operations with Units
65
Unit Conversions
67
Physical Constants in the Calculator
67
Defining and Using Functions
69
Reference
71
Chapter 4 - Calculations with Complex Numbers
72
Definitions
72
Setting the Calculator to COMPLEX Mode
72
Entering Complex Numbers
73
Polar Representation of a Complex Number
73
Simple Operations with Complex Numbers
74
The CMPLX Menus
75
CMPLX Menu through the MTH Menu
75
CMPLX Menu in the Keyboard
76
Functions Applied to Complex Numbers
77
Function DROITE: Equation of a Straight Line
77
Reference
78
Chapter 5 - Algebraic and Arithmetic Operations
79
Entering Algebraic Objects
79
Simple Operations with Algebraic Objects
80
Functions in the ALG Menu
82
Operations with Transcendental Functions
84
Expansion and Factoring Using Log-Exp Functions
84
Expansion and Factoring Using Trigonometric Functions
84
Functions in the ARITHMETIC Menu
85
Polynomials
86
The HORNER Function
86
The Variable VX
87
The PCOEF Function
87
The PROOT Function
87
The QUOTIENT and REMAINDER Functions
87
The PEVAL Function
88
Fractions
88
The SIMP2 Function
88
The PROPFRAC Function
89
The PARTFRAC Function
89
The FCOEF Function
89
The FROOTS Function
90
Step-By-Step Operations with Polynomials and Fractions
90
Reference
91
Chapter 6 - Solution to Equations
92
Symbolic Solution of Algebraic Equations
92
Function ISOL
92
Function SOLVE
93
Function SOLVEVX
95
Function ZEROS
95
Numerical Solver Menu
96
Polynomial Equations
97
Finding the Solution to a Polynomial Equation
97
Generating Polynomial Coefficients Given the Polynomial's Roots
98
Generating an Algebraic Expression for the Polynomial
99
Financial Calculations
100
Function STEQ
100
Solving Equations with One Unknown through NUM.SLV
100
Solution to Simultaneous Equations with MSLV
101
Reference
103
Chapter 7 - Operations with Lists
104
Creating and Storing Lists
104
Operations with Lists of Numbers
104
Changing Sign
104
Addition, Subtraction, Multiplication, Division
105
Functions Applied to Lists
106
Lists of Complex Numbers
107
Lists of Algebraic Objects
107
The MTH/LIST Menu
107
The SEQ Function
109
The MAP Function
109
Reference
109
Chapter 8 - Vectors
110
Entering Vectors
110
Typing Vectors in the Stack
110
Storing Vectors into Variables in the Stack
111
Using the Matrix Writer (MTRW) to Enter Vectors
111
Simple Operations with Vectors
114
Changing Sign
114
Addition, Subtraction
114
Absolute Value Function
115
Multiplication by a Scalar, and Division by a Scalar
115
The MTH/VECTOR Menu
116
Magnitude
116
Dot Product
116
Cross Product
117
Reference
117
Chapter 9 - Matrices and Linear Algebra
118
Entering Matrices in the Stack
118
Using the Matrix Editor
118
Typing the Matrix Directly into the Stack
119
Operations with Matrices
120
Addition and Subtraction
120
Multiplication
121
Matrix-Vector Multiplication
121
Multiplication by a Scalar
121
Matrix Multiplication
122
Term-By-Term Multiplication
122
The Identity Matrix
123
The Inverse Matrix
123
Characterizing a Matrix (the Matrix NORM Menu)
124
Function DET
124
Function TRACE
124
Solution of Linear Systems
124
Using the Numerical Solver for Linear Systems
125
Solution with the Inverse Matrix
127
Solution by "Division" of Matrices
127
References
127
Chapter 10 - Graphics
128
Graphs Options in the Calculator
128
Plotting an Expression of the Form y = F(X)
129
Generating a Table of Values for a Function
130
Fast 3D Plots
132
Reference
135
Chapter 11 - Calculus Applications
136
The CALC (Calculus) Menu
136
Limits and Derivatives
136
Function Lim
136
Functions DERIV and DERVX
137
Anti-Derivatives and Integrals
138
Functions INT, INTVX, RISCH, SIGMA and SIGMAVX
138
Definite Integrals
139
Infinite Series
139
Functions TAYLR, TAYLR0, and SERIES
140
Reference
141
Chapter 12 - Multi-Variate Calculus Applications
142
Partial Derivatives
142
Multiple Integrals
143
Reference
143
Chapter 13 - Vector Analysis Applications
144
The del Operator
144
Gradient
144
Divergence
145
Curl
145
Reference
145
Chapter 14 - Differential Equations
146
The CALC/DIFF Menu
146
Solution to Linear and Non-Linear Equations
146
Function LDEC
147
Function DESOLVE
148
The Variable ODETYPE
149
Laplace Transforms
150
Fourier Series
151
Function FOURIER
151
Fourier Series for a Quadratic Function
151
Reference
153
Chapter 15 - Probability Distributions
154
The MTH/PROBABILITY.. Sub-Menu - Part 1
154
Factorials, Combinations, and Permutations
154
Random Numbers
155
The MTH/PROB Menu - Part 2
156
The Normal Distribution
156
The Student-T Distribution
156
The Chi-Square Distribution
157
The F Distribution
157
Reference
157
Chapter 16 - Statistical Applications
158
Entering Data
158
Calculating Single-Variable Statistics
158
Obtaining Frequency Distributions
160
Fitting Data to a Function y = F(X)
161
Obtaining Additional Summary Statistics
163
Confidence Intervals
164
Hypothesis Testing
166
Reference
168
Chapter 17 - Numbers in Different Bases
169
The BASE Menu
169
Writing Non-Decimal Numbers
169
Reference
170
Chapter 18 - Using SD Cards
171
Storing Objects in the SD Card
171
Recalling an Object from the SD Card
172
Purging an Object from the SD Card
172
Limited Warranty
173
Service
174
Regulatory Information
176
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HP 49g+ Specifications
General
Brand
HP
Model
49g+
Category
Calculator
Language
English
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