Document Outline

• Table of contents
  • A note about screenshots in this guide
  • 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
    • Calculator objects
    • Editing expressions in 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 F0λ
      • 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
      • COLLECT
      • EXPAND
      • FACTOR
      • LNCOLLECT
      • LIN
      • PARTFRAC
      • SOLVE
      • SUBST
      • TEXPAND
      • 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
      • DIVIS
      • FACTORS
      • LGCD
      • PROPFRAC
      • SIMP2
      • 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
      • BASE convert menu
      • TRIGONOMETRIC convert menu
      • MATRICES convert menu
      • REWRITE convert menu
  • 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 → ARRY
      • 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 editor
      • 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 →DIAG
      • Function DIAG→
      • 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 →COL
      • Function COL→
      • Function COL+
      • Function COL-
      • Function CSWP
    • Manipulating matrices by rows
      • Function →ROW
      • Function ROW→
      • 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 SCHUR
      • Function LQ
      • Function QR
    • Matrix Quadratic Forms
      • The QUADF menu
    • 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 ΣPAR 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 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 libraries
      • Installing and attaching a library
      • Library numbers
      • Deleting a library
      • Creating libraries
    • Backup battery
  • Appendix
    • 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 - Index
  • Limited Warranty
    • Service
    • Regulatory information