Multi-variateCalculus Applications, Differential Equations | HP 50g

Chapter 12 - Multi-variateCalculus Applications

Partial derivatives, 12-1

Multiple integrals, 12-2

Reference, 12-2

Chapter 13 - Vector Analysis Applications

The del operator, 13-1

Gradient, 13-1

Divergence, 13-2

Curl, 13-2

Reference, 13-2

Chapter 14 - Differential Equations

The CALC/DIFF menu, 14-1

Solution to linear and non-linear equations, 14-1

Function LDEC, 14-1

Function DESOLVE, 14-3

The variable ODETYPE, 14-3

Laplace Transforms, 14-4

Laplace transform and inverses in the calculator, 14-4 Fourier series, 14-5

Function FOURIER, 14-5

Fourier series for a quadratic function, 14-6 Reference, 14-7

Chapter 15 - Probability Distributions

The MTH/PROBABILITY.. sub-menu - part 1, 15-1 Factorials, combinations, and permutations, 15-1 Random numbers, 15-2

The MTH/PROB menu - part 2, 15-3 The Normal distribution, 15-3 The Student-t distribution, 15-3 The Chi-square distribution, 15-4 The F distribution, 15-4

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HP 50g Multi-variateCalculus Applications, Vector Analysis Applications, Differential Equations, Probability Distributions

Contents

HP 50g graphing calculator User’s manual Printing History Preface 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 Applications Differential Equations Multi-variateCalculus ApplicationsVector Analysis Applications Probability Distributions Numbers in Different Bases Using SD cardsStatistical Applications Equation Library Basic Operations Chapter Getting startedBatteries Page Menus Contents of the calculator’s displayTool menu Setting time and date Introducing the calculator’s keyboard ALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5Page Lets try now the expression proposed earlier Standard format Number Format and decimal dot or commaFixed format with decimals Scientific format Engineering format Decimal comma vs. decimal point 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 Editing expressions in the stack Chapter Introducing the calculatorCalculator objects Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + y Using the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Organizing data in the calculator Home directory Subdirectories VariablesTyping variable names Algebraic mode Creating variables RPN mode Page Checking variables contents Using function Purge in the stack in Algebraic mode Listing the contents of all variables in the screenDeleting variables Using function Purge in the stack in RPN mode Undo and CMD functions Choose boxes vs. Soft Menu @@OK@@ References Chapter Calculations with real numbers Examples of real number calculationsPage Using powers of 10 in entering data Page Real number functions in the MTH menu Using calculator menusHyperbolic functions and their inverses Page Operations with units Units menuPage Available units Attaching units to numbers Unit prefixes Operations with units Unit conversions Physical constants in the calculator QuitPage Defining and using functions Reference Chapter Calculations with complex numbers Setting the calculator to Complex modeDefinitions Entering complex numbers Polar representation of a complex number Cmplx menus Simple operations with complex numbersCmplx menu through the MTH menu Forms the complex number x,y out of real numbers x Functions applied to complex numbers Cmplx menu in keyboard Function Droite equation of a straight line Page Chapter Algebraic and arithmetic operations Entering algebraic objects Simple operations with algebraic objects Functions in the ALG menu Collect Expansion and factoring using log-exp functions Operations with transcendental functions Expansion and factoring using trigonometric functions Functions in the Arithmetic menu FACTORSSIMP2 Variable PolynomialsHorner function Pcoef function Quot and Remainder functions FractionsProot function Peval function Partfrac function SIMP2 functionPropfrac function Fcoef function Froots function Step-by-step operations with polynomials and fractions− 5X 2 + 3X − Reference Symbolic solution of algebraic equations Chapter Solution to equationsFunction Isol Function Solve Page Function Solvevx Function Zeros Numerical solver menu Finding the solutions to a polynomial equation Polynomial Equations Enter vector of roots Financial calculations Generating an algebraic expression for the polynomial Solving equations with one unknown through Function Steq Solution to simultaneous equations with Mslv Reference Page Operations with lists of numbers Chapter Operations with listsCreating and storing lists Changing sign Addition, subtraction, multiplication, division Page Lists of complex numbers Functions applied to lists Lists of algebraic objects MTH/LIST menuPage SEQ function MAP functionPage Entering vectors Chapter VectorsTyping vectors in the stack Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectors Moving to the right vs. moving down in the Matrix Writer Press @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Simple operations with vectors Addition, subtraction Multiplication by a scalar, and division by a scalar MTH/VECTOR menuAbsolute value function Dot product MagnitudeCross product Reference Chapter Matrices and linear algebra Using the Matrix WriterEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Multiplication Addition and subtractionMultiplication by a scalar Matrix multiplication Matrix-vector multiplicationCij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Raising a matrix to a real power Term-by-term multiplication Identity matrix Inverse matrix Function Trace Characterizing a matrix The matrix Norm menuFunction DET TrA = ∑aii Solution of linear systems Using the numerical solver for linear systems = ⎢1 ⎢x2 Solution with the inverse matrix Solution by division of matrices References Chapter Graphics Graphs options in the calculator Plotting an expression of the form y = fx = 1 exp− xPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Limits and derivatives Chapter Calculus ApplicationsCalc Calculus menu Function lim Lim f Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsFunctions Deriv and Dervx Xdx = F x + C Definite integrals Functions TAYLR, TAYLR0, and Series Infinite series= ∑ Reference Chapter Multi-variate Calculus Applications Partial derivatives Multiple integrals Del operator Chapter Vector Analysis ApplicationsGradient Divergence Curl CALC/DIFF menu Solution to linear and non-linear equationsChapter Differential Equations Function LdecPage Function Desolve Variable Odetype Laplace Transforms Laplace transform and inverses in the calculator Lf t= F s = 0∞ f t ⋅ e− st dt Fourier seriesFunction Fourier 2inπt Fourier series for a quadratic function Reference Page Factorials, combinations, and permutations Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part − r + Random numbers Normal distribution MTH/PROB menu partStudent-t distribution Chi-square distribution F distribution Chapter Statistical Applications Entering data Calculating single-variable statistics Sample vs. population Obtaining frequency distributions Page Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation Covariance Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Chapter Numbers in Different Bases Base menu Writing non-decimal numbers Inserting and removing an SD card Chapter Using SD cardsFormatting an SD card Accessing objects on an SD card Storing objects on the SD card Recalling an object from the 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 Chapter Equation Library `#EQLIB #EQNLI Step 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Service Europe Asia Pacific Country Telephone numbers America Country Telephone numbers Regulatory information Federal Communications Commission Notice Canadian Notice Korean Notice