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Tips_for_Beginners_for_the_TI_89_Calculator

Tips_for_Beginners_for_the_TI_89_Calculator - Tips for Math...

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Tips for Math with the TI-89 Titanium © 2012 February 14, for the TI-89 Titanium OS 3.10 Dr. Wm J. Larson, International School of Geneva, [email protected] Corrections welcome. OPERATING SYSTEM ................................................................................................................................................................. 3 GETTING STARTED .................................................................................................................................................................... 3 T HE B LUE , G REEN , Y ELLOW & G REY S YMBOLS ........................................................................................................................... 3 T HE T WO M INUS K EYS .............................................................................................................................................................. 3 T HE T WO E QUALS S IGNS ............................................................................................................................................................ 3 E XPONENTS AND R OOTS .............................................................................................................................................................. 3 S CIENTIFIC N OTATION ................................................................................................................................................................. 3 D EGREES & R ADIAN M ODES ....................................................................................................................................................... 3 E XACT AND A PPROXIMATE M ODES ............................................................................................................................................... 3 M ORE S YMBOLS & F UNCTIONS ................................................................................................................................................... 4 P ARENTHESES ............................................................................................................................................................................ 4 L ISTS , M ATRICES & V ECTORS ..................................................................................................................................................... 4 T HE P LUS /M INUS S IGN .............................................................................................................................................................. 4 T HE F1 TO F8 K EYS ................................................................................................................................................................. 4 I F THE RESULT OF ALGEBRA IS A NUMBER ....................................................................................................................................... 4 C LEARING ................................................................................................................................................................................. 4 S HORTCUTS ............................................................................................................................................................................... 4 O N S CREEN S YNTAX H ELP ......................................................................................................................................................... 5 I F THE SCREEN IS TOO DARK OR LIGHT ........................................................................................................................................... 5 I F THE CALCULATOR IS LOCKED - UP ................................................................................................................................................ 5 T O QUICKLY MOVE TO THE END OF AN EXPRESSION .......................................................................................................................... 5 T O REUSE A PREVIOUS ENTRY ....................................................................................................................................................... 5 T O HIGHLIGHT TEXT .................................................................................................................................................................... 5 T O COPY TEXT ........................................................................................................................................................................... 5 I F YOU ARE LOST ........................................................................................................................................................................ 5 T O CHANGE THE NUMBER OF DIGITS DISPLAYED ............................................................................................................................... 5 T HE W ITH KEY .......................................................................................................................................................................... 5 I NSERT M ODE ........................................................................................................................................................................... 6 LOG X ....................................................................................................................................................................................... 6 P I ............................................................................................................................................................................................ 6 ORDER OF OPERATIONS ................................................................................................................................................................ 6 GRAPHING .................................................................................................................................................................................... 6 Z OOM ....................................................................................................................................................................................... 6 F RIENDLY W INDOWS .................................................................................................................................................................. 6 T RACE ...................................................................................................................................................................................... 7 T O CHANGE THE CENTER OF THE GRAPH ......................................................................................................................................... 7 T O FORMAT A GRAPH .................................................................................................................................................................. 7 T O CANCEL A GRAPH .................................................................................................................................................................. 7 M ODES ..................................................................................................................................................................................... 7 T O STORE A WINDOW SETTING ...................................................................................................................................................... 7 T O DEPICT AN INEQUALITY ........................................................................................................................................................... 7 P ARAMETRIC G RAPHS ................................................................................................................................................................. 7 P OLAR G RAPHS ......................................................................................................................................................................... 8 T O FIND THE M INIMA OR M AXIMA OF A FUNCTION ......................................................................................................................... 8 S OLVING A SYSTEM OF TWO EQUATIONS I. E . F INDING THE I NTERSECTIONS OF T WO G RAPHS ......................................................................................................................... 8 T O FIND THE X AND Y INTERCEPTS ................................................................................................................................................ 8 T ABLES .................................................................................................................................................................................... 9 A SYMPTOTES ............................................................................................................................................................................. 9 P IECEWISE -D EFINED G RAPH ........................................................................................................................................................ 9 G RAPHING A R EAL F UNCTION .................................................................................................................................................... 10 S OLVING I NEQUALITIES G RAPHICALLY ......................................................................................................................................... 10

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Tips for Math with the TI-89 Calculator, page 2 COMPLEX NUMBERS ............................................................................................................................................................... 10 C ONVERTING FROM R ECTANGULAR TO P OLAR OR T RIGONOMETRIC F ORM ......................................................................................... 10 S OLVING WITH C OMPLEX N UMBERS ............................................................................................................................................ 11 G RAPHING A C OMPLEX F UNCTION .............................................................................................................................................. 11 C ONVERTING FROM R ECTANGULAR TO P OLAR C OORDINATES .......................................................................................................... 12 OTHER COMMANDS ................................................................................................................................................................ 12 T HE S OLVE & Z EROS COMMANDS .............................................................................................................................................. 12 S OLVING INEQUALITIES .............................................................................................................................................................. 12 F ACTORING AND E XPANDING ..................................................................................................................................................... 13 P ERMUTATIONS AND C OMBINATIONS ........................................................................................................................................... 13 S EQUENCES AND S ERIES ............................................................................................................................................................ 13 M ATRICES .............................................................................................................................................................................. 13 H OW TO GRAPH A C ONIC E QUATION ........................................................................................................................................... 14 H OW TO S IMPLIFY R ATIONAL F UNCTIONS .................................................................................................................................... 14 T O S OLVE A S YSTEM OF E QUATIONS WITH S OLVE ( ....................................................................................................................... 14 T HE I NVERSE ........................................................................................................................................................................... 14 L INEAR I NTERPOLATION ........................................................................................................................................................... 15 S TEP FUNCTIONS ...................................................................................................................................................................... 15 T O S IMPLIFY E XPRESSIONS ........................................................................................................................................................ 15 B INARY , H EXADECIMAL & D ECIMAL .......................................................................................................................................... 16 T O DELETE FUNCTIONS , LISTS , TABLES , ETC . ................................................................................................................................. 16 D EFINE ................................................................................................................................................................................... 16 PROGRAMMING ........................................................................................................................................................................ 16 ON LINE HELP ............................................................................................................................................................................ 17 ERROR MESSAGES ................................................................................................................................................................... 17 E RROR : D IMENSION .................................................................................................................................................................. 17 R ESET A LL M EMORY ............................................................................................................................................................... 17 CALCULUS ................................................................................................................................................................................... 17 O N T HE H OME S CREEN ........................................................................................................................................................... 17 D IFFERENTIATION ..................................................................................................................................................................... 17 N UMERICAL D IFFERENTIATION ................................................................................................................................................... 17 I NTEGRATION ........................................................................................................................................................................... 18 L IMITS .................................................................................................................................................................................... 18 F INDING E PSILON IN THE L IMIT D EFINITION ................................................................................................................................. 18 M INIMA AND M AXIMA ............................................................................................................................................................. 18 O N T HE G RAPH S CREEN .......................................................................................................................................................... 18 D IFFERENTIATION ..................................................................................................................................................................... 18 I NTEGRATION ........................................................................................................................................................................... 18 P ARTIAL F RACTION D ECOMPOSITION ........................................................................................................................................... 19 M INIMA , M AXIMA , I NFLECTION P OINTS , T ANGENT L INES & A RC L ENGTH ...................................................................................... 19 C ONVERGENCE OF A S EQUENCE .................................................................................................................................................. 19 T AYLOR S ERIES A PPROXIMATIONS .............................................................................................................................................. 19 R IEMANN S UMS ....................................................................................................................................................................... 19 D IFFERENTIAL E QUATIONS ......................................................................................................................................................... 20 I MPLICIT DIFFERENTIATION ......................................................................................................................................................... 20
Tips for Math with the TI-89 Calculator, page 3 Operating System Just as your PC can be upgraded to WinXP, your TI-89 can be upgraded to OS 3.10. In both cases overall you get a better experience.

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Tips_for_Beginners_for_the_TI_89_Calculator - Tips for Math...

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