• Document: Matematiikkaa laskimella TI-nspire CX CAS. Timo Mäkelä
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Matematiikkaa laskimella TI-nspire CX CAS Timo Mäkelä Matematiikkaa laskimella TI-nspire CX CAS 2 Sisällysluettelo 0. ESIPUHE...................................................................................................................................5 1. PERUSASIOITA LASKIMESTA...........................................................................................6 2. LASKIMEN KÄYTTÄMINEN...............................................................................................7 2.1 LASKUTEKNIIKKAA.....................................................................................................................7 2.2 YKSIKÖIDEN JA VAKIOIDEN KÄYTTÖ............................................................................................18 3. LUVUT....................................................................................................................................22 3.1 KOKONAISLUVUT.....................................................................................................................22 3.2 MURTOLUVUT.........................................................................................................................25 3.3 LUKUJEN PYÖRISTÄMISET..........................................................................................................26 3.4 KOMPLEKSILUVUT....................................................................................................................28 3.5 BINÄÄRI- JA HEKSALUVUT.........................................................................................................31 4. ALGEBRAA............................................................................................................................35 4.1 LAUSEKKEIDEN KIRJOITTAMINEN.................................................................................................35 4.2 ALGEBRALLISTEN LAUSEKKEIDEN SIEVENTÄMINEN JA MUOKKAAMINEN..............................................36 4.2.1 Kertolasku...................................................................................................................37 4.2.2 Tekijöihin jako.............................................................................................................38 4.2.3 Murtolausekkeiden yhteenlasku...................................................................................43 4.2.4 Neliöksi täydentäminen...............................................................................................44 4.3 EKSPONENTTILAUSEKKEIDEN KÄSITTELY......................................................................................45 4.4 LOGARITMILAUSEKKEIDEN KÄSITTELY..........................................................................................47 4.5 POLYNOMIT............................................................................................................................49 4.6 RATIONAALIFUNKTIOT..............................................................................................................52 4.7 YHDEN TUNTEMATTOMAN YHTÄLÖT............................................................................................54 4.8 YHTÄLÖRYHMÄT.....................................................................................................................60 4.9 EPÄYHTÄLÖT..........................................................................................................................64 4.10 FUNKTIO..............................................................................................................................66 4.10.1 Funktion määrittely...................................................................................................66 4.10.2 Paloittain määritelty funktio.....................................................................................69 4.10.3 Funktion jaksollinen jatko.........................................................................................71 5. TRIGONOMETRIAA............................................................................................................76 5.1 TRIGONOMETRISET FUNKTIOT.....................................................................................................76 5.2 TRIGONOMETRISTEN LAUSEKKEIDEN KÄSITTELY.............................................................................77 5.3 TRIGONOMETRISET YHTÄLÖT......................................................................................................81 6. PIIRTÄMINEN.......................................................................................................................85 6.1 TASOKÄYRÄT..........................................................................................................................85 6.1.1 Funktioesitys.........................................................................................................

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