Contents Preface ix Contents The purpose of this manual .................................................................... ix Advanced functions .................................................................................. x HP 49G on the World Wide Web ............................................................. x Regulatory information ............................................................................ x USA ....................................................................................................... x Canada ................................................................................................. xi Japan .................................................................................................... xi End-user terms and conditions .............................................................. xi Warranty .................................................................................................. xii Chapter 1: Keys 1-1 Key map .................................................................................................. 1-2 The HP 49G's keyboards ....................................................................... 1-3 What each key does ............................................................................... 1-5 Key conventions ................................................................................... 1-10 Chapter 2: Basic operation 2-1 Turning on and turning off ................................................................... 2-2 Turning on ......................................................................................... 2-2 Changing the screen contrast ......................................................... 2-3 Turning off ........................................................................................ 2-3 Default screen ........................................................................................ 2-3 Status area ........................................................................................ 2-4 History ............................................................................................... 2-5 Menu .................................................................................................. 2-6 Using the command line ....................................................................... 2-7 Multi-line entries .............................................................................. 2-8 Entering numbers ............................................................................ 2-8 Entering characters ....................................................................... 2-10 Entering special characters .......................................................... 2-11 Entering from history ................................................................... 2-12 Editing the command line ............................................................. 2-13 Input forms ........................................................................................... 2-14 Input form fields ............................................................................. 2-14 Closing an input form .................................................................... 2-17 Contents i Contents Modes .....................................................................................................2-18 Changing a mode ............................................................................2-18 Algebraic and RPN modes .............................................................2-21 Exact and approximate modes .....................................................2-22 Command line calculations .................................................................2-24 Time Management ................................................................................2-26 Setting the date and time ...............................................................2-26 Changing the format of the date or time .....................................2-27 Alarms ..............................................................................................2-27 Chapter 3: Creating and editing expressions 3-1 Creating a new expression ....................................................................3-2 Editing an expression ............................................................................3-3 Using Equation Writer ...........................................................................3-4 Implied multiplication ......................................................................3-4 Entering e and i .................................................................................3-4 Operating modes ....................................................................................3-5 Working with modes ........................................................................3-5 How Equation Writer sees expressions .........................................3-7 Examples .................................................................................................3-8 Example 1 ..........................................................................................3-8 Example 2 ..........................................................................................3-8 Example 3 ..........................................................................................3-9 Equation Writer keys .............................................................................3-9 Chapter 4: Plotting graphs 4-1 Basic plotting ..........................................................................................4-3 Plot types .................................................................................................4-6 Function plots ...................................................................................4-6 Parametric plots ...............................................................................4-8 Polar plots .......................................................................................4-10 Conic plots .......................................................................................4-13 Differential equation plots .............................................................4-15 Truth plots .......................................................................................4-17 Slopefield plots ...............................................................................4-19 Wireframe plots ..............................................................................4-20 Pseudo-Contour plots ....................................................................4-21 Y-Slice plots .....................................................................................4-23 Gridmap plots .................................................................................4-24 Parametric surface plots ................................................................4-25 Fast 3-D plots ..................................................................................4-27 Statistical plots ...............................................................................4-28 ii Contents Cursor movement ................................................................................ 4-34 Standard cursor movement .......................................................... 4-34 Tracing a plot .................................................................................. 4-35 Cursor coordinates ........................................................................ 4-35 Zooming ................................................................................................ 4-36 To zoom in ...................................................................................... 4-36 To zoom out .................................................................................... 4-36 Zoom options .................................................................................. 4-36 Analyzing functions ............................................................................. 4-37 Finding roots .................................................................................. 4-38 Finding extrema ............................................................................. 4-38 Finding slopes ................................................................................ 4-38 Finding areas .................................................................................. 4-39 Finding intersections ..................................................................... 4-39 Tables .................................................................................................... 4-40 Customizing table values .............................................................. 4-40 Special plotting and table variables .................................................. 4-41 EQ .................................................................................................... 4-41 DAT ................................................................................................ 4-41 PPAR ................................................................................................ 4-41 VPAR ................................................................................................ 4-42 PAR ................................................................................................ 4-42 ZPAR ................................................................................................ 4-42 TPAR ................................................................................................ 4-42 Contents Chapter 5: Working with expressions 5-1 Configuring the CAS .............................................................................. 5-2 Numeric option ................................................................................ 5-3 Approx option .................................................................................. 5-3 Other options .................................................................................... 5-4 Using the computer algebra system .................................................... 5-5 Working from the command line ................................................... 5-7 Working in Equation Writer ............................................................ 5-9 Performing substitutions .................................................................... 5-10 Expanding and factorizing .................................................................. 5-11 Expanding expressions ................................................................. 5-11 Factorizing expressions ................................................................ 5-13 Exponential and trigonometric expressions .............................. 5-14 Calculus commands ............................................................................ 5-17 Example .......................................................................................... 5-18 Contents iii Differentiating an expression step-by-step .......................................5-19 Setting step-by-step mode .............................................................5-19 Performing step-by-step operations .............................................5-19 Step-by-step example .....................................................................5-20 Chapter 6: Solving equations Contents 6-1 About solving equations ........................................................................6-2 Solving an equation ................................................................................6-3 Example .............................................................................................6-3 Interpreting results ...........................................................................6-4 Solving polynomial equations ...............................................................6-5 Example .............................................................................................6-5 Finding a polynomial from a set of roots ......................................6-7 Solving linear systems ...........................................................................6-7 Representing a system as matrices ................................................6-8 Example .............................................................................................6-9 Solving differential equations .............................................................6-10 Using the financial solver ....................................................................6-11 Time-value-of-money calculation parameters ............................6-11 Time-value-of-money calculations ...............................................6-12 Amortizing the calculation ............................................................6-13 Chapter 7: Storing objects 7-1 Variables .................................................................................. ...