Document Outline

• Table of contents
• Chapter 1 Getting started
  • Basic Operations
    • Batteries
    • Turning the calculator on and off
    • Adjusting the display contrast
    • Contents of the calculator’s display
    • Menus
    • SOFT menus vs. CHOOSE boxes
    • Selecting SOFT menus or CHOOSE boxes
    • The TOOL menu
    • Setting time and date
  • Introducing the calculator’s keyboard
  • Selecting calculator modes
    • Operating Mode
    • Number Format and decimal dot or comma
    • Angle Measure
    • Coordinate System
    • Beep, Key Click, and Last Stack
  • Selecting CAS settings
  • Selecting Display modes
    • Selecting the display font
    • Selecting properties of the line editor
    • Selecting properties of the Stack
    • Selecting properties of the equation writer (EQW)
    • Selecting the size of the header
    • Selecting the clock display
• Chapter 2 Introducing the calculator
  • Calculator objects
  • Editing expressions on the screen
    • Creating arithmetic expressions
    • Editing arithmetic expressions
    • Creating algebraic expressions
    • Editing algebraic expressions
  • Using the Equation Writer (EQW) to create expressions
    • Creating arithmetic expressions
    • Editing arithmetic expressions
    • Creating algebraic expressions
    • Editing algebraic expressions
    • Creating and editing summations, derivatives, and integrals
  • Organizing data in the calculator
    • Functions for manipulation of variables
    • The HOME directory
    • The CASDIR sub-directory
    • Typing directory and variable names
    • Creating subdirectories
    • Moving among subdirectories
    • Deleting subdirectories
  • Variables
    • Creating variables
    • Checking variables contents
    • Replacing the contents of variables
    • Copying variables
    • Reordering variables in a directory
    • Moving variables using the FILES menu
    • Deleting variables
  • UNDO and CMD functions
  • Flags
    • Example of flag setting: general solutions vs. principal value
    • Other flags of interest
    • CHOOSE boxes vs. Soft MENU
    • Selected CHOOSE boxes
• Chapter 3 Calculation with real numbers
  • Checking calculators settings
  • Checking calculator mode
  • Real number calculations
    • Changing sign of a number, variable, or expression
    • The inverse function
    • Addition, subtraction, multiplication, division
    • Using parentheses
    • Absolute value function
    • Squares and square roots
    • Powers and roots
    • Base-10 logarithms and powers of 10
    • Using powers of 10 in entering data
    • Natural logarithms and exponential function
    • Trigonometric functions
    • Inverse trigonometric functions
    • Differences between functions and operators
  • Real number functions in the MTH menu
    • Hyperbolic functions and their inverses
    • Real number functions
    • Special functions
  • Calculator constants
  • Operations with units
    • The UNITS menu
    • Available units
    • Converting to base units
    • Attaching units to numbers
    • Operations with units
    • Units manipulation tools
  • Physical constants in the calculator
  • Special physical functions
    • Function ZFACTOR
    • Function F0l
    • Function SIDENS
    • Function TDELTA
    • Function TINC
  • 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
    • INTEGER menu
    • POLYNOMIAL menu
    • MODULO menu
  • Applications of the ARITHMETIC menu
    • Modular arithmetic
    • Finite arithmetic rings in the calculator
  • Polynomials
    • Modular arithmetic with polynomials
    • The CHINREM function
    • The EGCD function
    • The GCD function
    • The HERMITE function
    • The HORNER function
    • The variable VX
    • The LAGRANGE function
    • The LCM function
    • The LEGENDRE function
    • The PCOEF function
    • The PROOT function
    • The PTAYL function
    • The QUOT and REMAINDER functions
    • The EPSX0 function and the CAS variable EPS
    • The PEVAL function
    • The TCHEBYCHEFF function
  • Fractions
    • The SIMP2 function
    • The PROPFRAC function
    • The PARTFRAC function
    • The FCOEF function
    • The FROOTS function
    • Step-by-step operations with polynomials and fractions
  • The CONVERT Menu and algebraic operations
    • UNITS convert menu (Option 1)
    • BASE convert menu (Option 2)
    • TRIGONOMETRIC convert menu (Option 3)
    • MATRICES convert menu (Option 5)
    • REWRITE convert menu (Option 4)
• Chapter 6 Solution to single equations
  • Symbolic solution of algebraic equations
    • Function ISOL
    • Function SOLVE
    • Function SOLVEVX
    • Function ZEROS
  • Numerical solver menu
    • Polynomial Equations
    • Financial calculations
    • Solving equations with one unknown through NUM.SLV
  • The SOLVE soft menu
    • The ROOT sub-menu
    • Function ROOT
    • Variable EQ
    • The SOLVR sub-menu
    • The DIFFE sub-menu
    • The POLY sub-menu
    • The SYS sub-menu
    • The TVM sub-menu
• Chapter 7 Solving multiple equations
  • Rational equation systems
    • Example 1 - Projectile motion
    • Example 2 - Stresses in a thick wall cylinder
    • Example 3 - System of polynomial equations
  • 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
    • List size
    • Extracting and inserting elements in a list
    • Element position in the list
    • HEAD and TAIL functions
    • The SEQ function
    • The MAP function
  • Defining functions that use lists
  • Applications of lists
    • Harmonic mean of a list
    • Geometric mean of a list
    • Weighted average
    • Statistics of grouped data
• Chapter 9 Vectors
  • Definitions
  • Entering vectors
    • Typing vectors in the stack
    • Storing vectors into variables
    • Using the Matrix Writer (MTRW) to enter vectors
    • Building a vector with ‡ARRY
  • Identifying, extracting, and inserting vector elements
  • Simple operations with vectors
    • Changing sign
    • Addition, subtraction
    • Multiplication by a scalar, and division by a scalar
    • Absolute value function
  • The MTH/VECTOR menu
    • Magnitude
    • Dot product
    • Cross product
    • Decomposing a vector
    • Building a two-dimensional vector
    • Building a three-dimensional vector
    • Changing coordinate system
  • Application of vector operations
    • Resultant of forces
    • Angle between vectors
    • Moment of a force
    • Equation of a plane in space
  • Row vectors, column vectors, and lists
    • Function OBJ‡
    • Function ‡LIST
    • Function DROP
    • Transforming a row vector into a column vector
    • Transforming a column vector into a row vector
    • Transforming a list into a vector
    • Transforming a vector (or matrix) into a list
• 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
    • Functions GET and PUT
    • Functions GETI and PUTI
    • Function SIZE
    • Function TRN
    • Function CON
    • Function IDN
    • Function RDM
    • Function RANM
    • Function SUB
    • Function REPL
    • Function ÆDIAG
    • Function DIAGÆ
    • Function VANDERMONDE
    • Function HILBERT
  • 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
    • Function ÆCOL
    • Function COLÆ
    • Function COL+
    • Function COL-
    • Function CSWP
  • Manipulating matrices by rows
    • Function ÆROW
    • Function ROWÆ
    • Function ROW+
    • Function ROW-
    • Function RSWP
    • Function RCI
    • Function RCIJ
• Chapter 11 Matrix Operations and Linear Algebra
  • Operations with matrices
    • Addition and subtraction
    • Multiplication
  • Characterizing a matrix (The matrix NORM menu)
    • Function ABS
    • Function SNRM
    • Functions RNRM and CNRM
    • Function SRAD
    • Function COND
    • Function RANK
    • Function DET
    • Function TRACE
    • Function TRAN
  • Additional matrix operations (The matrix OPER menu)
    • Function AXL
    • Function AXM
    • Function LCXM
  • Solution of linear systems
    • Using the numerical solver for linear systems
    • Least-square solution (function LSQ)
    • Solution with the inverse matrix
    • Solution by “division” of matrices
    • Solving multiple set of equations with the same coefficient matrix
    • Gaussian and Gauss-Jordan elimination
    • Step-by-step calculator procedure for solving linear systems
    • Solution to linear systems using calculator functions
    • Residual errors in linear system solutions (Function RSD)
  • Eigenvalues and eigenvectors
    • Function PCAR
    • Function EGVL
    • Function EGV
    • Function JORDAN
    • Function MAD
  • Matrix factorization
    • Function LU
    • Orthogonal matrices and singular value decomposition
    • Function SVD
    • Function SVL
    • Function SCHUR
    • Function LQ
    • Function QR
  • Matrix Quadratic Forms
    • The QUADF menu
    • Function AXQ
    • Function QXA
    • Function SYLVESTER
    • Function GAUSS
  • Linear Applications
    • Function IMAGE
    • Function ISOM
    • Function KER
    • Function MKISOM
• 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
    • Function lim
    • Derivatives
    • Functions DERIV and DERVX
    • The DERIV&INTEG menu
    • Calculating derivatives with ¶
    • The chain rule
    • Derivatives of equations
    • Implicit derivatives
  • Application of derivatives
    • Analyzing graphics of functions
    • Function DOMAIN
    • Function TABVAL
    • Function SIGNTAB
    • Function TABVAR
    • Using derivatives to calculate extreme points
    • Higher order 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
    • Substitution or change of variables
    • Integration by parts and differentials
    • Integration by partial fractions
    • Improper integrals
  • Integration with units
  • Infinite series
    • Taylor and Maclaurin’s series
    • Taylor polynomial and reminder
    • Functions TAYLR, TAYLR0, and SERIES
• Chapter 14 Multi-variate Calculus Applications
  • Multi-variate functions
  • Partial derivatives
    • Higher-order derivatives
    • The chain rule for partial derivatives
    • Total differential of a function z = z(x,y)
    • Determining extrema in functions of two variables
    • Using function HESS to analyze extrema
  • 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
    • Entering differential equations
    • Checking solutions in the calculator
    • Slope field visualization of solutions
  • The CALC/DIFF menu
  • Solution to linear and non-linear equations
    • Function LDEC
    • Function DESOLVE
    • The variable ODETYPE
  • Laplace Transforms
    • Definitions
    • Laplace transform and inverses in the calculator
    • Laplace transform theorems
    • Dirac’s delta function and Heaviside’s step function
    • Applications of Laplace transform in the solution of linear ODEs
  • Fourier series
    • Function FOURIER
    • Fourier series for a quadratic function
    • Fourier series for a triangular wave
    • Fourier series for a square wave
    • Fourier series applications in differential equations
  • 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
    • The Cauchy or Euler equation
    • Legendre’s equation
    • Bessel’s equation
    • Chebyshev or Tchebycheff polynomials
    • Laguerre’s equation
    • Weber’s equation and Hermite polynomials
  • Numerical and graphical solutions to ODEs
    • Numerical solution of first-order ODE
    • Graphical solution of first-order ODE
    • Numerical solution of second-order ODE
    • Graphical solution for a second-order ODE
    • Numerical solution for stiff first-order ODE
  • Numerical solution to ODEs with the SOLVE/DIFF menu
    • Function RKF
    • Function RRK
    • Function RKFSTEP
    • Function RRKSTEP
    • Function RKFERR
    • Function RSBERR
• 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
    • The gamma distribution
    • The exponential distribution
    • The beta distribution
    • The Weibull distribution
    • Functions for continuous distributions
  • Continuous distributions for statistical inference
    • Normal distribution pdf
    • Normal distribution cdf
    • The Student-t distribution
    • The Chi-square distribution
    • The F distribution
  • Inverse cumulative distribution functions
• Chapter 18 Statistical Applications
  • Pre-programmed statistical features
    • Entering data
    • Calculating single-variable statistics
    • Obtaining frequency distributions
    • Fitting data to a function y = f(x)
    • Obtaining additional summary statistics
    • Calculation of percentiles
  • The STAT soft menu
    • The DATA sub-menu
    • The SPAR sub-menu
    • The 1VAR sub menu
    • The PLOT sub-menu
    • The FIT sub-menu
    • The SUMS sub-menu
    • Example of STAT menu operations
  • Confidence intervals
    • Estimation of Confidence Intervals
    • Definitions
    • Confidence intervals for the population mean when the population variance is known
    • Confidence intervals for the population mean when the population variance is unknown
    • Confidence interval for a proportion
    • Sampling distribution of differences and sums of statistics
    • Confidence intervals for sums and differences of mean values
  • Determining confidence intervals
    • Confidence intervals for the variance
  • Hypothesis testing
    • Procedure for testing hypotheses
    • Errors in hypothesis testing
    • Inferences concerning one mean
    • Inferences concerning two means
    • Paired sample tests
    • Inferences concerning one proportion
    • Testing the difference between two proportions
    • Hypothesis testing using pre-programmed features
    • Inferences concerning one variance
    • Inferences concerning two variances
  • Additional notes on linear regression
    • The method of least squares
    • Additional equations for linear regression
    • Prediction error
    • Confidence intervals and hypothesis testing in linear regression
    • Procedure for inference statistics for linear regression using the calculator
  • Multiple linear fitting
  • Polynomial fitting
    • Selecting the best fitting
• Chapter 19 Numbers in Different Bases
  • Definitions
  • The BASE menu
    • Functions HEX, DEC, OCT, and BIN
    • Conversion between number systems
    • Wordsize
    • Operations with binary integers
  • The LOGIC menu
  • The BIT menu
  • The BYTE menu
  • Hexadecimal numbers for pixel references
• Chapter 20 Customizing menus and keyboard
  • Customizing menus
    • The PRG/MODES/MENU menu
    • Menu numbers (RCLMENU and MENU functions)
    • Custom menus (MENU and TMENU functions)
    • Menu specification and CST variable
  • Customizing the keyboard
    • The PRG/MODES/KEYS sub-menu
    • Recall current user-defined key list
    • Assign an object to a user-defined key
    • Operating user-defined keys
    • Un-assigning a user-defined key
    • Assigning multiple user-defined keys
• Chapter 21 Programming in User RPL language
  • An example of programming
    • Global and local variables and subprograms
    • Global Variable Scope
    • Local Variable Scope
  • The PRG menu
    • Navigating through RPN sub-menus
    • Functions listed by sub-menu
    • Shortcuts in the PRG menu
    • Keystroke sequence for commonly used commands
  • 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
    • Prompt with an input string
    • A function with an input string
    • Input string for two or three input values
    • Input through input forms
    • Creating a choose box
  • Identifying output in programs
    • Tagging a numerical result
    • Decomposing a tagged numerical result into a number and a tag
    • “De-tagging” a tagged quantity
    • Examples of tagged output
    • Using a message box
  • Relational and logical operators
    • Relational operators
    • Logical operators
  • Program branching
    • Branching with IF
    • The IF…THEN…END construct
    • The CASE construct
  • Program loops
    • The START construct
    • The FOR construct
    • The DO construct
    • The WHILE construct
  • Errors and error trapping
    • DOERR
    • ERRN
    • ERRM
    • ERR0
    • LASTARG
    • Sub-menu IFERR
  • 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
    • Two-dimensional graphics
    • Three-dimensional graphics
    • The variable EQ
    • Examples of interactive plots using the PLOT menu
    • Examples of program-generated plots
  • Drawing commands for use in programming
    • PICT
    • PDIM
    • LINE
    • TLINE
    • BOX
    • ARC
    • PIX?, PIXON, and PIXOFF
    • PVIEW
    • PX‡C
    • C‡PX
    • Programming examples using drawing functions
    • Pixel coordinates
  • 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
    • Modular programming
    • Running the program
    • A program to calculate principal stresses
    • Ordering the variables in the sub-directory
    • A second example of Mohr’s circle calculations
  • 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
    • System flags
    • Functions for setting and changing flags
    • User flags
• Chapter 25 Date and Time Functions
  • The TIME menu
    • Setting an alarm
    • Browsing alarms
    • Setting time and date
    • TIME Tools
  • 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
    • Inserting and removing an SD card
    • Formatting an SD card
    • Accessing objects on an SD card
    • Storing objects on an SD card
    • Recalling an object from an SD card
    • Evaluating an object on an SD card
    • Purging an object from the SD card
    • Purging all objects on the SD card (by reformatting)
    • Specifying a directory on an SD card
  • Using libraries
    • Installing and attaching a library
    • Library numbers
    • Deleting a library
    • Creating 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
    • Viewing equations
    • Viewing variables and selecting units
    • Viewing the picture
  • Using the Multiple-Equation Solver
    • Defining a set of equations
    • Interpreting results from the Multiple-Equation Solver
    • Checking solutions
• 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