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maTematika maswavleblis profesiuli standarti maTematika

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<strong>maswavleblis</strong> <strong>profesiuli</strong> <strong>standarti</strong><br />

4<br />

figuris kveTebisa da gegmilebis gamoyeneba am figuris Sesaswavlad;<br />

deduqciuri/induqciuri msjelobis gamoyeneba geometriul debulebaTa dasamtkiceblad.<br />

mimarTuleba: monacemTa analizi, albaToba da statistika<br />

monacemTa mowesrigebisa da warmodgenis xerxebis adekvaturad gamoyeneba dasmuli<br />

amocanis amosaxsnelad. monacemTa warmodgenis xerxebis interpretireba;<br />

monacemTa mopovebis xerxebis adekvaturad SerCeva da maTi gamoyeneba dasmuli<br />

amocanis gadasaWrelad;<br />

monacemTa analizi ricxviTi da grafikuli meTodebis gamoyenebiT, Sedegebis<br />

interpretireba da daskvnebis Camoyalibeba;<br />

albaTuri modelebisa da albaTobis Tvisebebis aRwera, maTi gamoyeneba SemTxveviTi<br />

movlenebis aRwerisas.<br />

sabazo an/da saSualo safexuris maTematikis <strong>maswavleblis</strong><br />

<strong>profesiuli</strong> codna<br />

algebra da analizis sawyisebi<br />

simravle. simravleebs Soris mimarTebebi. moqmedebebi simravleebze.<br />

qvesimravle, ori simravlis toloba, carieli simravle. elementaruli<br />

operaciebi simravleebze: simravleTa gaerTianeba, TanakveTa, sxvaoba, simravlis<br />

damateba. simravleTa dekartuli namravli. ekvivalentobis da dalagebis<br />

binaruli mimarTebebi simravleze.<br />

gamonaTqvamebi da operaciebi gamonaTqvamebze. dasabuTebis xerxebi.<br />

logikuri operaciebi gamonaTqvamebze: uaryofa, koniunqcia, dizi unqcia, implikacia.<br />

maT WeSmaritul mniSvnelobaTa cxrili. gamonaTqvamTa tolfasobis Semowmeba<br />

WeSmaritul mniSvnelobaTa cxrilis saSualebiT. zogadmarTebuli gamonaTqvamebi,<br />

logikuri gamomdinareoba; damtkicebis cneba; gamonaTqvamTa Tavsebadi da ara-<br />

Tavsebadi erTobliobebi, gamonaTqvamis konversiuli (mopirdapire), inversiuli<br />

(Sebrunebuli) da kontrapoziciuri gamonaTqvamebi. kontrapoziciis kanoni, maTematikuri<br />

debulebebis dasabuTebis meTodebi: deduqcia, sawinaaRmdegos daSveba,<br />

kontrmagaliTis ageba da maTematikuri induqcia. universalobis da arsebobis<br />

kvantorebi.<br />

asaxva. asaxvis grafiki. asaxvaTa umartivesi klasifikacia.<br />

asaxvis gansazRvris are. asaxvis mniSvnelobaTa simravle. asaxvis SezRudva gansazRvris<br />

aris qvesimravleze. asaxvis grafiki, simravlis saxe da wina saxe asaxvis<br />

mimarT, asaxvaTa kompozicia, asaxvaTa tipebi: ineqcia, sureqcia, bieqcia, asaxvis<br />

Seqcevadoba;

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