HP Prime, Quick Start Manual

Page 1: ...HP Prime Graphing Calculator Quick Start Guide Edition 1 HP Part Number NW280 1001 ...

Page 2: ...nd with regard to this guide including but not limited to the implied warranties of merchantability non infringement and fitness for a particular purpose Hewlett Packard Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing performance or use of this guide or the examples contained herein Product Regulatory Environment Information P...

Page 3: ...ommon math and science functions 6 Alpha and Shift keys 7 On Cancel and Off key 8 List matrix program and note catalogs 9 Last Answer key Ans 10 Enter key 1 1 Backspace and Delete key 12 Menu and Paste key 13 CAS view and CAS preference settings 14 View and Copy key 15 Escape and Clear key 16 Help key 17 Rocker wheel for cursor movement 1 2 3 4 5 6 7 8 9 1 1 13 14 12 15 16 10 17 ...

Page 4: ...C C reate dazzling graphs w ith the Advanced Graphing app ...

Page 5: ...ing Deleting and Clearing 7 Last Answer 7 Storing Values in Variables 7 Copy and Paste 8 Understanding the User Interface 9 Computer Algebra System CAS 10 2 HP Apps and their Views 13 HP Apps 13 App Views 15 Graphing Methods 17 3 Primary Apps 18 The Function Advanced Graphing Parametric Polar and Sequence Apps 18 Geometry App 27 Spreadsheet App 31 Statistics 1Var App 35 ...

Page 6: ...7 5 Explorer Apps 48 Linear Explorer and Quadratic Explorer Apps 48 Trig Explorer App 50 6 Creating Customized Apps 52 7 The Toolbox Menus 53 Math Menu 53 CAS Menu 54 App Menu 54 User Menu 55 Catalog Menu Catlg 55 8 Catalogs and Editors 56 List Catalog and Editor 56 Matrix Catalog and Editor 57 Program Catalog and Editor 58 Note Catalog and Editor 60 ...

Page 7: ... pressing a opens the Variables menu A shifted function is initiated with a key combination For example to select the natural exponential function you press Sh Notice that the name or symbol of a shifted function is printed in blue or orange on the second line on the key Certain operators and characters can also be entered by key combinations In order to help you differentiate between keypresses a...

Page 8: ...calculator to a wall outlet using the HP provided wall adapter When the calculator is on a battery symbol appears in the title bar of the screen Its appearance will indicate how much power the battery has A flat battery will take approximately 4 hours to become fully charged Battery Warning To reduce the risk of fire or burns do not disassemble crush or puncture the battery do not short the extern...

Page 9: ...Home view has four sections shown at the right The title bar shows either the screen name or the name of the app that is currently selected Function in the example at the right It also shows the time a battery power indicator and a number of symbols that indicate various calculator settings These are explained in the User Guide The history displays a record of your past calculations The entry line...

Page 10: ...election by tapping there are other touch related operations available to you How these gestures are interpreted varies from app to app and from view to view within an app For example swiping the screen by placing a finger on the screen and dragging it in the desired direction right or left up or down will quickly move from page to page in a multi page view like Plot Setup But in the Plot view of ...

Page 11: ...ing an examination Supervisors can disable certain functions of a student s calculator for a set period of time with the disabling controlled by a password This functionality is explained in detail in the User Guide To reset a field to its default value move the cursor to that field and press C To reset all fields to their default values press SJ Clear Note that the reset options are available on ...

Page 12: ...example a many rowed matrix If you highlight the result and tap it is displayed in textbook format in full screen view In full screen view you can press and as well as and to bring hidden parts of the result into view Tap to return to the previous view Tip a quick way to enter many types of mathematical expressions is to press F A palette of templates appears shown at the right You choose a templa...

Page 13: ...s number variables etc and create a new calculation Tip you don t always need to first select Ans before it can be part of a new calculation If you press any binary operator key to begin a new calculation Ans is automatically added to the entry line as the first component of the new calculation For example to multiply the last answer by 13 you could enter S s13E But the first two keystrokes are un...

Page 14: ...rom the list To delete a listed variable use the cursor keys to highlight it and then press C Copy and Paste Copy and paste functionality is available The copy options vary depending on where you are in the calculator For example if you are creating a matrix in the Matrix Editor choosing copy SV simply copies the value of the highlighted cell to the clipboard You navigate to the target cell press ...

Page 15: ...isplays one item from a menu of items To select an item other than the one showing tap the box and then tap the item Pressing or w will cycle forward or backward through the options You can also use the cursor keys to highlight a choose box tap use the cursor keys to select an item and then press E Input Fields To enter data into an empty input field tap on the field and begin entering the data Wh...

Page 16: ...ing it and tapping Other general operations are exactly the same For example pressing J clears the entry line and pressing SJ clears the entire history The menu buttons in CAS view are assigns an object to a variable see page 7 applies common simplification rules to reduce an expression to its simplest form For example simplify ea LN b ec yields b EXP a EXP c and work as they do in Home view see p...

Page 17: ...ind the quotient function on the Algebra sub menu as shown at the right 4 Select Polynomial Algebra Quotient The function quo appears on the entry line You can also select a CAS function using the hot key numbers assigned to each item on the CAS menus Notice in the illustration above that Polynomial is item 6 on the top level menu Algebra is item 8 on the first sub menu and Quotient is item 1 on t...

Page 18: ...nstead deselect the Menu Display option on page 2 of the Home Settings screen see page 4 above Using CAS in Home view You can use a CAS function in Home view Just select the function from the CAS menu while you are entering your expression The CAS prefix is added to your CAS function to remind you that this component of your expression will be evaluated by the CAS You can also copy an item from CA...

Page 19: ...ions change their magnitude position and orientation and observe the resultant changes in their numerical properties Spreadsheet Create a spreadsheet using any of the calculator s functions Statistics 1Var Enter columns of data conduct 1 variable statistical analyses compute summary statistics and explore statis tical plots Statistics 2Var Enter columns of data conduct 2 variable statistical analy...

Page 20: ...pps on page 52 If you don t want to retain the data stored with an app when you next open the app you can reset the app to its default values and settings With the Application Library displayed I use the cursor keys to highlight the app you want to reset and then tap Confirm your intention to reset the app by tapping or pressing E Table 2 HP Solver Apps Solver App Name Purpose Finance Solve time v...

Page 21: ...micro B connector inserted into the USB port on the receiving calculator App Views Most HP apps have the same structure based on the symbolic graphic and numeric representations of mathematical objects These representations are called views and they can be displayed by pressing Y P and M respectively Each main view can be configured from an associated setup view For example pressing SP displays th...

Page 22: ...made here will override the corresponding settings on the Home Settings window Plot View P Displays a graphical representation of the objects selected in Symbolic view The graphical representations include graphs of functions statistical plots and confidence intervals The Plot view offers numerous tools for exploring these graphs such as zooming tracing and determining critical values Plot Setup S...

Page 23: ... own The option makes the settings in Numeric view match those that currently apply in the Plot view The HP Prime gives you the option of choosing one of three graphing methods These methods determine the fineness of the plot adaptive this gives very accurate results and is used by default fixed step segments this method samples x values computes their corresponding y values and then plots and con...

Page 24: ... or mixed Thus if you have created a variable called Cost you could define a function as X2 Cost For instructions on how to create variables see Storing Values in Variables on page 7 The Function Advanced Graphing Parametric Polar and Sequence Apps The Function Advanced Graphing Parametric Polar and Sequence apps are very similar and can be described together The Function app will be used as our s...

Page 25: ...s an X cancels the current addition or change accepts the current addition or change displays the selected function in textbook format in full screen view with vertical and horizontal scrolling enabled resolves references when one function is defined in terms of another Plot View Press P to display Plot view and see the graphs of the equations selected in Symbolic view Plot view allows you to trac...

Page 26: ...finition entered in Symbolic view If more than one function is plotted press or to select another function Plot Setup View Press SP to display the Plot Setup view This view enables you to configure the appearance of the graphs in Plot view There are two pages of options The fields on the first page are X Rng the horizontal graphing range minium and maximum Y Rng the vertical graphing range minium ...

Page 27: ...e of the Plot Setup view Numeric View Press M to display the Numeric view This view displays in tabular form the values generated by the functions selected in Symbolic view Choose any cell in the independent variable column labeled X in the example at the right enter any real value and then press E or tap All values are immediately recalculated The menu items are zooms in or out on a highlighted r...

Page 28: ... x values and the app generates the corresponding function values The menu items in this view are makes the selected value editable sets Num Start and Num Step so that the table values match the settings in the Plot view For example Num Start is made the same as the minimum of the X Rng values Advanced Graphing App The Advanced Graphing app enables you to define and explore the graphs of symbolic ...

Page 29: ... and the shaded area indicates where the inequality defined in S2 evaluates to TRUE The second illustration below shows S3 and the third shows S4 The graph of S4 has been zoomed in on to show some of its finer structure The options available by tapping are similar to those in the Function app However the option lets you specify both the X and Y coordinates of the point you want to jump to Further ...

Page 30: ...nality to the Function app To open the Parametric app press I and select Parametric The app opens in Symbolic view The information below describes the major differences between the Parametric app and the Function app described on pages 18 to 22 Symbolic View In Symbolic view Y you can specify up to ten sets of parametric equations each one defining x t and y t in terms of t For example x 4 sin t a...

Page 31: ... to the Function app To open the Polar app press I and select Polar The app opens in Symbolic view The information below describes the major differences between the Polar app and the Function app described on pages 18 to 22 Symbolic view The Symbolic view of the Polar app enables you to specify up to ten polar equations each one defining r the signed distance a point is from the origin 0 0 in term...

Page 32: ... The app opens in Symbolic view The information below describes the major differences between the Sequence app and the Function app described on pages 18 to 22 Symbolic view The Symbolic view enables you to specify up to ten sequence definitions in n Each sequence is defined either explicitly in terms of n or recursively Note that n must be entered as an uppercase character N in this app The menu ...

Page 33: ...iew is the same as you see in the Function app Geometry App The Geometry app enables you to draw and explore geometric constructions A geometric construction can be composed of any number of geometric objects such as points lines polygons curves tangents and so on You can take measurements such as areas and distances manipulate objects and note how measurements change To open the Geometry app pres...

Page 34: ...tes are shown indicating that the point is not selected If no point is selected you can pan by dragging a finger across the screen either up down left or right You can also use the cursor keys to pan provided that the cursor is at the edge of the display You can zoom by pressing or w or by tapping and choosing a zoom option from the zoom menu The options are the same as you find in the Plot view o...

Page 35: ...ew Every object whether a point segment line polygon or curve is given a name and its definition is displayed in Symbolic view Y The name is the name for it you see in Plot view prefixed by G Thus a point labeled B in Plot view is given the name GB in Symbolic view The G prefixed name is a variable that can be referenced in Numeric view see below and in CAS calculations Note from the illustration ...

Page 36: ...dditional menu items appear and The menu gives you access to the syntax of numerous common geometric measurements and tests to save you entering them by hand and the menu gives you a selectable list of all the geometric objects currently in Plot view Any calculation that you select by highlighting it and pressing will also be displayed in Plot view A highlighted calculation can also be edited dele...

Page 37: ... move to the diagonally opposite cell Tapping on or another cell deselects the block Entering content A cell can contain any valid calculator object a real number 3 14 a complex number a ib an integer 1Ah a list 1 2 a matrix or vector 1 2 a string text a unit 2_m or an expression that is a formula Move to the cell you want to add content to and start entering the content as you would in Home view ...

Page 38: ...p or Press E Note that each column gives the nth power of the row number starting with the squares Thus 95 is 59 049 Cell references and naming You can refer to the value of a cell in formulas as if it were a variable A cell is referenced by its column and row coordinates and references can be absolute or relative An absolute reference is written as C R where C is the column number and R the row n...

Page 39: ...ter or edit whatever is selected names whatever is selected This item appears only when you start entering content or after tapping forces what you are about to enter to be evaluated by the CAS For example S 23n2 yields 1 1 5 normally but if you precede the calculation by tapping the result displayed is 23 2 You can revert to non CAS evaluation by tapping These menu items appear only when you star...

Page 40: ... fills the selected cells the gray dotted option represents Auto Align horizontal alignment Auto Left Center Right Align vertical alignment Auto Top Center Bottom Column displays an input form for you to specify the required width of the selected columns only available if you have selected the entire spreadsheet or one or more entire columns Row displays an input form for you to specify the requir...

Page 41: ...D0 The menu items are activates the entry line for you to add a value or change the selected value inserts a new row above the currently highlighted cell sorts the current column you can choose ascending or descending order displays a menu for you to choose the small font medium font or large font displays an input form for you to enter a formula to generate a list of values for a specified column...

Page 42: ...or pareto toggles between making an analysis active or inactive enters a D when tapped displays the selected equation in textbook format and in full screen view with vertical and horizontal scrolling enabled resolves references when one equation is defined in terms of another Plot view Press P to display the Plot view This view displays the selected 1 variable statistical plots for each selected a...

Page 43: ... You can define up to five 2 variable analyses named S1 S5 by specifying two data columns and a fit type for each analysis The menu items which change according to the field selected are to specify a data column or when a Fitn field is selected to enter or edit a fit equation If you enter your own fit equation the corresponding Typen field automatically changes to User Defined displays a menu for ...

Page 44: ... by the fit equation are displayed at the bottom of the screen takes the tracing cursor to the point you specify or to the closest point shows or hides the graph of the fit equation displays the columns used to define the graph or if the tracing cursor is on a point on the graph of the fit equation the definition of the fit equation You can also see the fit equation by returning to Symbolic view a...

Page 45: ...ypothesis test or confidence interval Type choose from a variety of Z and T distributions Alt Hypoth choose one of three alternative hypotheses for hypothesis tests only Numeric view Press M to display the Numeric view This view contains fields for you to enter sample statistics e g sample mean and sample size n population parameters e g null hypothesis mean 0 and standard deviation and the signif...

Page 46: ...rt 410 to the HP Prime and then connect between one and four sensors to the HP StreamSmart Open the DataStreamer app by pressing I and selecting DataStreamer The app searches for any sensors that are connected to the calculator and when it finds them prompts you to start the data capture by tapping The DataStreamer app starts in Plot view This view displays the data from 1 to 4 sensors graphically...

Page 47: ...e along the current stream add the current tracer point to your data set and display the Export to Statistics screen see below On pressing further menu items appear sets the left most edge of the data you want to study All data to the left is cropped set the right most edge of the data you want to study All data to the right is cropped shows further options You can for example choose to see only a...

Page 48: ...lving enters the equals sign displays the selected equation in textbook format in full screen view with vertical and horizontal scrolling enabled resolves references when one equation is defined in terms of another Numeric view Press M to display the Numeric view In the Solve app the Numeric view is not a table of evaluations as it is in the Function app Instead it is an input form for you to ente...

Page 49: ...inance app solves time value of money TVM and amortization problems the Linear Solver finds solutions to systems of linear equations and the Triangle Solver finds measures of angles and lengths of sides in problems involving triangles Finance App The Finance App solves time value of money TVM and amortization problems To open the Finance app press I and select Finance The Finance app has two pages...

Page 50: ...the purchase of a house with a 30 year loan at 6 5 annual interest The cost of the house is 180 000 and you make a down payment of 30 000 Thus a net 150 000 is financed How much is the required monthly payment Assume payments start at the end of the first period You enter the data as shown in the first figure at the right Solution Highlight the PMT field as it is the payment value we want to calcu...

Page 51: ...roup The menu items are displays a menu for you to choose to a font size small medium or large returns to the TVM page Solution To find the balloon payment due after 10 years of payments scroll down the P column until you come to the row where P 10 There you will see that you will have repaid 22 835 81 in principal as well as paying 90 936 43 in interest The fourth column shows a balance of 127 16...

Page 52: ...u can also highlight a field enter a value and press E The cursor automatically moves to the next field where you can enter the next value and press E displays the page for solving a system of 2 linear equations in 2 variables changes to when active displays the page for solving a system of 3 linear equations in 3 variables changes to when active Example Find the solution of the linear system 5x 2...

Page 53: ...value You can also just enter a value and press E or toggles the angle measure between degrees and radians Note that when is showing the angle measure is degrees and when is showing the angle measure is radians toggles between input forms for general and right angle triangles the latter requiring one less input calculates the remaining values Example A triangle has sides of lengths 9 and 6 The ang...

Page 54: ...orer and Quadratic Explorer Apps The Linear Explorer app gives you an opportunity to explore the behavior of graphs of the form y ax and y ax b as the values of a and b change The Quadratic Explorer app is very similar With it you can explore the behavior of y a x h 2 v as the values of a h and v change In both apps you can change the equation and note the change in the graph or change the graph a...

Page 55: ...s are when active indicated by a dot beside it you can use the change keys to move between the parameters in the equation and change their values when active indicated by a dot beside it you can use the change keys to directly modify the graph chooses the increment by which parameter values will change 0 5 1 or 2 chooses various forms of equation there are two in the Linear Explorer and four in th...

Page 56: ... indicates that you are testing yourself on one of the less difficult graphs chooses various forms of equation there are two in the Linear Explorer and four in the Quadratic Explorer lets you check your current answer against the correct answer displays the correct answer returns to Plot view Trig Explorer App The Trig Explorer app enables you to explore the behavior of the sinusoidal equations y ...

Page 57: ...In graph mode you use the cursor keys to modify the graph The equation at the top of the screen changes to match what you do to the graph The behavior of the cursor keys depends on whether or is chosen see above The increment by which parameters a b and d change is always 0 1 the increment by which parameter c changes depends on your increment settings see above Press Q to reflect the graph over t...

Page 58: ...g a customized instance of an app is that you can continue to use the built in app for some other problem and return to the customized app at any time with all its data still in place Like built in apps customized apps can be sent to another HP Prime calculator This is explained in Data sharing on page 15 Suppose you want to create a customized app that is based on the built in Sequence app The ap...

Page 59: ...if necessary tap Select the appropriate category and then choose the function you want For example suppose you want to determine the complex conjugate of the complex number 6 4 i 1 Press D and tap if necessary 2 Select Arithmetic from the main menu Complex from the sub menu and Conjugate from the sub sub menu The appropriate syntax CONJ appears on the entry line ready for you to specify the comple...

Page 60: ... are trying to find 3 Enter 4656 764 8794 between the parentheses and press E The result is 2 App Menu This menu lists all the app functions available to you arranged by app Press D and if necessary tap Select the appropriate app and then choose the app function you want For example suppose you want to find the slope of 2x2 9x when x 2 Rather than using the Function app a quicker way is to 1 Press...

Page 61: ...n by first selecting it from the User menu you can also run a program by selecting it from the User menu Catalog Menu Catlg The Toolbox key also gives you access to a menu of every command and function available on the HP Prime Tap and tap the command or function you want It is copied to the location of the cursor There are over 400 commands and functions on this menu You may find it easier to sel...

Page 62: ... L9 or L0 The menu items in the List Catalog are opens the selected list for you to add or change elements You can also just tap on its name deletes the contents of a selected list sends a highlighted list to another HP Prime When you select a list the List Editor opens This is where you add elements to or change elements in a list When you first open a list it will be blank To enter an element ju...

Page 63: ...em in L2 Note too that a list is represented by a pair of braces with each item separated by a comma If you wanted to store your result in say list L6 just tap enter L6 and press E If you then opened the List Catalog you would find that L6 had been populated You can create a list in Home view by pressing S8 and entering each element separated by a comma Numerous list related functions are availabl...

Page 64: ...g elements You can enter values row by row or column by column In programs and in Home view you can refer to a matrix or vector by its name M1 M2 etc For example suppose M6 is composed of 8 0 5 5 1 6 and M7 is composed of 1 2 3 4 5 6 In Home view you could enter M6 M7 The result displayed is 9 2 8 9 6 12 You can create a matrix or vector in Home view by pressing S5 and entering each element Use th...

Page 65: ...sends the selected program to another HP Prime debugs the selected program runs the selected program You can enter your program letter by letter if you know the command names or use one of the menus available when the Program Editor is open opens the commands menu opens a menu of common branch and loop structures Note that the programming commands are also available from the Catlg menu see page 55...

Page 66: ...ation about programming the HP Prime Note Catalog and Editor The HP Prime has a note recording feature that enables you to build a library of notes Press SN Notes to display the Note Catalog The following menu items appear some only if at least one note has already been created opens the Note Editor for you to edit the selected note opens an input form for you to give a name to a new note opens a ...

Page 67: ... are provides options for setting the font size foreground color background color and paragraph alignment provides bold italic underline full caps superscript and subscript options cycles through three styles of bullets placing the chosen bullet against whatever paragraph has the cursor in it There is also an option to remove a bullet ...