Selecting CAS settings | HP 49g specs

Selecting CAS settings

CAS stands for Computer Algebraic System. This is the mathematical core of the calculator where the symbolic mathematical operations and functions are programmed. The CAS offers a number of settings can be adjusted according to the type of operation of interest. To see the optional CAS settings use the following:

•Press the Hbutton to activate the CALCULATOR MODES input form.

•To change CAS settings press the @@ CAS@@ soft menu key. The default values of the CAS setting are shown below:

•To navigate through the many options in the CAS MODES input form, use the arrow keys: š™˜—.

•To select or deselect any of the settings shown above, select the underline before the option of interest, and toggle the @@CHK@@ soft menu key until the right setting is achieved. When an option is selected, a check mark will be shown in the underline (e.g., the Rigorous and Simp Non-Rational

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HP 49g manual Selecting CAS settings

Contents

User’s manual Graphing calculatorPage Preface Page Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operations Solution to equations Operations with lists Vectors Matrices and linear algebra Graphics Calculus ApplicationsMulti-variate Calculus Applications Vector Analysis Applications Probability Distributions Differential EquationsStatistical Applications Service, W-2 Regulatory information, W-4 Limited Warranty W-1Numbers in Different Bases Basic Operations Chapter Getting startedBatteries Contents of the calculator’s display Tool menu MenusAssociated with the six soft menu keys, F1 through F6 Setting time and date Introducing the calculator’s keyboardPage Alpha function, to enter the upper-case letter P Selecting calculator modes~„p Operating Mode 23.0 √ 3.*5.-1/3.*3./23.3+EXP2.5 Lets try now the expression proposed earlier Number Format and decimal dot or comma Page Page Page Angle Measure Coordinate System Selecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editor Selecting properties of the Stack References Selecting properties of the equation writer EQW Chapter Introducing the calculator Calculator objectsEditing expressions in the stack Creating arithmetic expressions Result³5*„Ü1+1/7will be shown„ÜR3as follows -2Q3`.5 Resulting…in³5*„Ü1+1/7the output„ÜR3-2Q3`.5 Creating algebraic expressions + y Using the Equation Writer EQW to create expressions Edited expression*„Ü5+1/3looks as follows + 2 ⋅ 5 + ~‚n Organizing data in the calculator Home directorySubdirectories For this example, the Home Variables Locks the alphabetic keyboard in lower case. When lockedTyping variable names Name Contents Type Creating variables 3V5K~a12` ³~„r/„Ü Checking variables contents ‚å‚é~„r³„ì Using the right-shift key followed by soft menu key labels Using function Purge in the stack in Algebraic mode Using function Purge in the stack in RPN modeDeleting variables @PURGE@J@@p1@@` Choose boxes vs. Soft Menu Undo and CMD functionsWe use Show Prog menu list and select Memory ‚¯ Page Display now shows Not shown in this screen. To Find it we use To activate the Order command we press the soft menu key Chapter Calculations with real numbers Operation key, namely Examples in ALG modeExamples of real number calculations For both, ALG and RPN modes, using the Equation Writer Directly on the stack Key. When Combination When calculating in the stack in ALG modeRPN mode, enter the number first, then the function, e.g „¸Page RPN mode \„¸45`‚¹ Real number functions in the MTH menu Hyperbolic functions and their inverses Pressing shows the remaining options Units menu With unitsKey or Page Available units For Set of unitsLabels will be listed Key or Keystroke sequence to navigate Through the menus Attaching units to numbers With the keyboard, e.g.,will produce the entry Using Ubase to convert to the default unit 1 m results Operations with units Different terms in parentheses, e.g 12m 3250mi @@OK@@-˜ Physical constants in the calculatorUnit conversions These operations produce the following output When selected, constants are shown with units attached When selected, constants are shown without unitsCopies value with or without units to the stack Exit constants library Like this Display shows what is called a tagged value Here Defining and using functionsWhich produces ‚@@@H@@ ‘LNx+1 + EXPx’ Entered by using You could try Setting the calculator to Complex mode To work with complex numbers select the CAS complex modeChapter Calculations with complex numbers Definitions Polar representation of a complex number Entering complex numbersTo enter the unit imaginary number type the I key Simple operations with complex numbers Cmplx menus Cmplx menu through the MTH menu Cmplx menu in the keyboard Functions applied to complex numbers Function Droite equation of a straight line Function Droite is found in the command catalog Reference Chapter Algebraic and arithmetic operations Entering algebraic objects Simple operations with algebraic objects Press To recover Variable menu @HELP@` Functions in the ALG menu To execute the command Catalog To complete the operation Expansion and factoring using log-exp functions Expansion and factoring using trigonometric functionsTrig menu, triggered by using Operations with transcendental functions Shows the following menu Functions in the Arithmetic menuNumbers or to polynomials. The remaining options 1. Integer Horner function PolynomialsX6-1 = X5-5*X4+25X3-125X2+625X-3125X+5+15624 Variable Pcoef functionProot function Quotient and Remainder functions Peval function FractionsSIMP2 function Partfrac function Propfrac functionFcoef function Step-by-step operations with polynomials and fractions Froots function Reference Symbolic solution of algebraic equations Chapter Solution to equationsFunction Isol Function Solve Page Function Solvevx Function Zeros Numerical solver menu Enter vector of coefficients Polynomial EquationsSolve equation Page Page Financial calculations Solving equations with one unknown through NUM.SLV Solution to simultaneous equations with Mslv Solution shown is X 4.5006E-2Page Reference Creating and storing lists Chapter Operations with listsChanging sign Addition, subtraction, multiplication, division Functions‚Napplied to lists When applied to lists, acts a concatenation operatorExample Lists of complex numbers Lists of algebraic objectsMTH/LIST menu Inverse 1/x Calculate increment among consecutive elements in list Calculate summation of elements in the listCalculate product of elements in the list Sorts elements in increasing order SEQ function SEQ function, available through the command catalog , takesMAP function Reference Chapter Vectors Entering vectorsTyping vectors in the stack General row vector Vector Vector of algebraics Mode Then, ‚íin Vectors can also be entered by using the matrix writerStoring vectors into variables in the stack Stored into variables Key is used to edit the contents of a selected cell WID Key will add a column full of zeros at the location Cell of the spreadsheetFunction Delete Will delete Selected Addition, subtraction Simple operations with vectorsUsed in the following exercises Multiplication by a scalar, and division by a scalar Absolute value function MTH/VECTOR menu MagnitudeDot product Examples Cross product Chapter Matrices and linear algebra Entering matrices in the stack Display in RPN mode will look very similar to these Typing in the matrix directly into the stack Operations with matrices Addition and subtraction Multiplication RPN mode, try the following eight examples Cij = aik ⋅ bkj , for i = 1,2, , m j = 1,2, , n Page Solution of linear systems Characterizing a matrix The matrix Norm menuFunction DET Function Trace Using the numerical solver for linear systems Press Following input form will be provide right2x1 + 3x2 -5x3= Can be written as the matrix equation A⋅x = b, if @SOLVE Solution with the inverse matrix Solution by division of matrices Chapter Graphics Graphs options in the calculator Plotting an expression of the form y = fx Them simultaneously if in RPN mode Use a range of -4 toAs an example, lets plot the function To recover the menu, and return to the Plot Also, check that for x = -1.48 , y =Here is picture Press Then You will be returned to normal calculator display Zoom factor = 0.5. ToggleTo see the table, press Soft menu key Suggested early, namely x = Fast 3D plots Key simply changes the font in the table from small to big,Option Decimal Produces x-increments Option Integer To return to normal calculator display press Values of 10 and 8 for the Step data Find Fast3DYou can change Orientation @EDITL Reference$ Press To leave the Edit environment Chapter Calculus Applications Calc Calculus menuLimits and derivatives Function lim Including some limits Infinity symbol is associated with Key, .eMenu within the Calcl menu Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsIf and only if, fx = dF/dx, and C = constant Xdx = F b − F a Functions TAYLR, TAYLR0, and Series ⋅ x − x o n Reference Chapter Multi-variate Calculus Applications Partial derivatives Multiple integrals Y dA = b Φ x , y dydx = Del operator Chapter Vector Analysis ApplicationsGradient Curl DivergenceAlternatively, use function Deriv as follows Chapter Differential Equations Solution to linear and non-linear equationsCALC/DIFF menu Ldec Function Ldec Which can be simplified to Function Desolve= K1⋅e-3x+ K2⋅e5x + K3⋅e2x + 450⋅x2+330⋅x+241/13500 Variable Odetype DESOLVE` Laplace Transforms Laplace transform and inverses in the calculator Fourier series for a quadratic function Function FOURIER`Where Exercises. Function Collect is available in the ALG menu Thus = 1/3, c MTH/PROBABILITY.. sub-menu part Chapter Probability DistributionsFactorials, combinations, and permutations Random numbers „´The Normal distribution MTH/PROB menu partStudent-t distribution Chi-square distribution F distribution Chapter Statistical Applications Entering data‚Ù5 Sample vs. population Now Obtaining frequency distributions Ƒ3.Fitdata Fitting data to a function y = fxCan be used Lines in RPN mode When that field is selected Statistics To access the summary stats… option, useUsing Key select all the options for outputs, i.e Obtaining additional summary statistics Press to obtain the following results Confidence intervalsOffers the following options Interpreted as follows @GRAPH Interval information Corresponding interval limits 21.88424 and 24.51576. Press Return to the previous results screen, and/or press @@@OK@@@ Select ∝ ≠ 150. Then, press Result is Chapter Numbers in Different Bases Base menuWriting non-decimal numbers With system flag 117 set to Soft menus, the Base menu shows @HEX Chapter Using SD cardsStoring objects in the SD card Recalling an object from the SD card Purging an object from the SD card Limited Warranty Service Canada 905 206-4663 or 800- HP Rotc = Rest of the country Regulatory information USA