HP 50g Graphing Calculator User Manual

HP Calculators, organizers

Table of contents

Document Outline

Table of contents
Chapter 1 Getting started
- Basic Operations
- Introducing the calculator’s keyboard
- Selecting calculator modes
- Selecting CAS settings
- Selecting Display modes
Chapter 2 Introducing the calculator
- Calculator objects
- Editing expressions on the screen
- Using the Equation Writer (EQW) to create expressions
- Organizing data in the calculator
- Variables
- UNDO and CMD functions
- Flags
Chapter 3 Calculation with real numbers
- Checking calculators settings
- Checking calculator mode
- Real number calculations
- Real number functions in the MTH menu
- Calculator constants
- Operations with units
- Physical constants in the calculator
- Special physical functions
- Defining and using functions
- Functions defined by more than one expression
  - The IFTE function
  - Combined IFTE functions
Chapter 4 Calculations with complex numbers
- Definitions
- Setting the calculator to COMPLEX mode
  - Entering complex numbers
  - Polar representation of a complex number
- Simple operations with complex numbers
  - Changing sign of a complex number
  - Entering the unit imaginary number
- The CMPLX menus
  - CMPLX menu through the MTH menu
  - CMPLX menu in keyboard
- Functions applied to complex numbers
  - Functions from the MTH menu
- Function DROITE: equation of a straight line
Chapter 5 Algebraic and arithmetic operations
- Entering algebraic objects
- Simple operations with algebraic objects
- Functions in the ALG menu
  - Other forms of substitution in algebraic expressions
- Operations with transcendental functions
  - Expansion and factoring using log-exp functions
  - Expansion and factoring using trigonometric functions
- Functions in the ARITHMETIC menu
- Applications of the ARITHMETIC menu
  - Modular arithmetic
  - Finite arithmetic rings in the calculator
- Polynomials
- Fractions
- The CONVERT Menu and algebraic operations
Chapter 6 Solution to single equations
- Symbolic solution of algebraic equations
- Numerical solver menu
- The SOLVE soft menu
Chapter 7 Solving multiple equations
- Rational equation systems
- Solution to simultaneous equations with MSLV
  - Example 1 - Example from the help facility
  - Example 2 - Entrance from a lake into an open channel
- Using the Multiple Equation Solver (MES)
  - Application 1 - Solution of triangles
  - Application 2 - Velocity and acceleration in polar coordinates
Chapter 8 Operations with lists
- Definitions
- Creating and storing lists
- Composing and decomposing lists
- Operations with lists of numbers
  - Changing sign
  - Addition, subtraction, multiplication, division
- Real number functions from the keyboard
- Real number functions from the MTH menu
  - Examples of functions that use two arguments
- Lists of complex numbers
- Lists of algebraic objects
- The MTH/LIST menu
- Manipulating elements of a list
- Defining functions that use lists
- Applications of lists
Chapter 9 Vectors
- Definitions
- Entering vectors
- Identifying, extracting, and inserting vector elements
- Simple operations with vectors
- The MTH/VECTOR menu
- Application of vector operations
- Row vectors, column vectors, and lists
Chapter 10 Creating and manipulating matrices
- Definitions
- Entering matrices in the stack
  - Using the Matrix Writer
  - Typing in the matrix directly into the stack
- Creating matrices with calculator functions
- A program to build a matrix out of a number of lists
  - Lists represent columns of the matrix
  - Lists represent rows of the matrix
- Manipulating matrices by columns
- Manipulating matrices by rows
Chapter 11 Matrix Operations and Linear Algebra
- Operations with matrices
  - Addition and subtraction
  - Multiplication
- Characterizing a matrix (The matrix NORM menu)
- Additional matrix operations (The matrix OPER menu)
- Solution of linear systems
- Eigenvalues and eigenvectors
- Matrix factorization
- Matrix Quadratic Forms
- Linear Applications
Chapter 12 Graphics
- Graphs options in the calculator
- Plotting an expression of the form y = f(x)
  - Some useful PLOT operations for FUNCTION plots
- Saving a graph for future use
- Graphics of transcendental functions
  - Graph of ln(X)
  - Graph of the exponential function
- The PPAR variable
- Inverse functions and their graphs
- Summary of FUNCTION plot operation
- Plots of trigonometric and hyperbolic functions
- Generating a table of values for a function
  - The TPAR variable
- Plots in polar coordinates
- Plotting conic curves
- Parametric plots
- Generating a table for parametric equations
- Plotting the solution to simple differential equations
- Truth plots
- Plotting histograms, bar plots, and scatter plots
  - Bar plots
  - Scatter plots
- Slope fields
- Fast 3D plots
- Wireframe plots
- Ps-Contour plots
- Y-Slice plots
- Gridmap plots
- Pr-Surface plots
  - The VPAR variable
- Interactive drawing
  - DOT+ and DOT-
  - MARK
  - LINE
  - TLINE
  - BOX
  - CIRCL
  - LABEL
  - DEL
  - ERASE
  - MENU
  - SUB
  - REPL
  - PICT‡
  - X,Y‡
- Zooming in and out in the graphics display
  - ZFACT, ZIN, ZOUT, and ZLAST
  - BOXZ
  - ZDFLT, ZAUTO
  - HZIN, HZOUT, VZIN and VZOUT
  - CNTR
  - ZDECI
  - ZINTG
  - ZSQR
  - ZTRIG
- The SYMBOLIC menu and graphs
  - The SYMB/GRAPH menu
- Function DRAW3DMATRIX
Chapter 13 Calculus Applications
- The CALC (Calculus) menu
- Limits and derivatives
- Application of derivatives
- Anti-derivatives and integrals
  - Functions INT, INTVX, RISCH, SIGMA and SIGMAVX
  - Definite integrals
- Step-by-step evaluation of derivatives and integrals
- Integrating an equation
- Techniques of integration
- Integration with units
- Infinite series
Chapter 14 Multi-variate Calculus Applications
- Multi-variate functions
- Partial derivatives
- Multiple integrals
  - Jacobian of coordinate transformation
  - Double integral in polar coordinates
Chapter 15 Vector Analysis Applications
- Definitions
- Gradient and directional derivative
  - A program to calculate the gradient
  - Using function HESS to obtain the gradient
- Potential of a gradient
- Divergence
- Laplacian
- Curl
  - Irrotational fields and potential function
- Vector potential
Chapter 16 Differential Equations
- Basic operations with differential equations
- The CALC/DIFF menu
- Solution to linear and non-linear equations
- Laplace Transforms
- Fourier series
- Fourier Transforms
  - Definition of Fourier transforms
  - Properties of the Fourier transform
- Fast Fourier Transform (FFT)
  - Examples of FFT applications
- Solution to specific second-order differential equations
- Numerical and graphical solutions to ODEs
- Numerical solution to ODEs with the SOLVE/DIFF menu
Chapter 17 Probability Applications
- The MTH/PROBABILITY.. sub-menu - part 1
  - Factorials, combinations, and permutations
  - Random numbers
- Discrete probability distributions
  - Binomial distribution
  - Poisson distribution
- Continuous probability distributions
- Continuous distributions for statistical inference
- Inverse cumulative distribution functions
Chapter 18 Statistical Applications
- Pre-programmed statistical features
- The STAT soft menu
- Confidence intervals
- Determining confidence intervals
  - Confidence intervals for the variance
- Hypothesis testing
- Additional notes on linear regression
- Multiple linear fitting
- Polynomial fitting
  - Selecting the best fitting
Chapter 19 Numbers in Different Bases
- Definitions
- The BASE menu
- The LOGIC menu
- The BIT menu
- The BYTE menu
- Hexadecimal numbers for pixel references
Chapter 20 Customizing menus and keyboard
- Customizing menus
- Customizing the keyboard
Chapter 21 Programming in User RPL language
- An example of programming
- The PRG menu
- Programs for generating lists of numbers
- Examples of sequential programming
  - Programs generated by defining a function
  - Programs that simulate a sequence of stack operations
- Interactive input in programs
- Identifying output in programs
- Relational and logical operators
  - Relational operators
  - Logical operators
- Program branching
- Program loops
- Errors and error trapping
- User RPL programming in algebraic mode
Chapter 22 Programs for graphics manipulation
- The PLOT menu
  - User-defined key for the PLOT menu
  - Description of the PLOT menu
- Generating plots with programs
- Drawing commands for use in programming
- Animating graphics
  - Animating a collection of graphics
  - More information on the ANIMATE function
- Graphic objects (GROBs)
  - The GROB menu
- A program with plotting and drawing functions
- An input form for the Mohr’s circle program
Chapter 23 Character strings
- String-related functions in the TYPE sub-menu
- String concatenation
- The CHARS menu
- The characters list
Chapter 24 Calculator objects and flags
- Description of calculator objects
- Function TYPE
- Function VTYPE
- Calculator flags
Chapter 25 Date and Time Functions
- The TIME menu
- Calculations with dates
- Calculating with times
- Alarm functions
Chapter 26 Managing memory
- Memory Structure
  - The HOME directory
  - Port memory
- Checking objects in memory
- Backup objects
- Backing up objects in port memory
  - Backing up and restoring HOME
  - Storing, deleting, and restoring backup objects
- Using data in backup objects
- Using SD cards
- Using libraries
- Backup battery
Chapter 27 The Equation Library
- Solving a Problem with the Equation Library
  - Using the Solver
  - Using the menu keys
- Browsing in the Equation Library
- Using the Multiple-Equation Solver
Appendix A Using input forms
Appendix B The calculator’s keyboard
Appendix C CAS settings
Appendix D Additional character set
Appendix E The Selection Tree in the Equation Writer
Appendix F The Applications (APPS) menu
Appendix G Useful shortcuts
Appendix H The CAS help facility
Appendix I Command catalog list
Appendix J The MATHS menu
Appendix K The MAIN menu
Appendix L Line editor commands
Appendix M Table of Built-In Equations
Appendix N Index
Limited Warranty
- Service
- Regulatory information
- Disposal of Waste Equipment by Users in Private Household in the European Union