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Применение информационных технологий в курсе высшей математики

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В статье рассматриваются методы использования современных информационных технологий в вузах на примере курса высшей математики. Формированию у обучающихся потребности в профессионально-прикладных знаниях способствуют программы Power Point и Advanced
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ЛИТЕРАТУРА
ϛҸҴҸҺҷҪӉϚҨϖҸҬҪҵүҬҪϘϔϛҸҴҸҺҷҪӉϔҨϚҹҺүҹҸҮҪҬҪҷҲҲүһҼүһҼҬүҷҷҸҷҪҽӁҷӅҿҮҲһӀҲҹҵҲҷҬҬӅһӂүҳӂҴҸҵүһ
ҲһҹҸҵӆұҸҬҪҷҲүҶҶҽҵӆҼҲҶүҮҲҳҷӅҿҼүҿҷҸҵҸҭҲҳϘҸҵҸҮҸҳҽӁүҷӅҳoӣϞoϝ
ϛҸҴҸҺҷҪӉϚҨϛҸҴҸҺҷҪӉϔҨϝҪҪҮүҿҢϛҸҬӅӂүҷҲүҴҪӁүһҼҬҪҸҫҺҪұҸҬҪҼүҵӆҷҸҭҸҹҺҸӀүһһҪҹҸҬӅһӂүҳҶҪҼүҶҪҼҲҴүһ
ҲһҹҸҵӆұҸҬҪҷҲүҶһҸҬҺүҶүҷҷӅҿҲҷҼүҺҪҴҼҲҬҷӅҿҹҸһҸҫҲҳϘҸҵҸҮҸҳҽӁүҷӅҳoӣoϝ
ϛҸҴҸҺҷҪӉϚҨϛҸҲһҴҺүӂүҷҲӉҴҪҴһҺүҮһҼҬҸҺүӂүҷҲӉұҪҮҪӁҸҹҼҲҶҲұҪӀҲҲҲҼүҸҺҲҲҲҭҺϘҸҵҸҮҸҳҽӁүҷӅҳoӣ
oϝ
ϔҬҪҷҸҬҪϚϘϛҸҴҸҺҷҪӉϚҨϚҶүҼҸҮҲҴүҲһҹҸҵӆұҸҬҪҷҲӉҶҽҵӆҼҲҶүҮҲҳҷӅҿҼүҿҷҸҵҸҭҲҳҬҹҺүҹҸҮҪҬҪҷҲҲүһҼүһҼҬүҷҷҸ
ҷҪҽӁҷӅҿҮҲһӀҲҹҵҲҷҲҷҸһҼҺҪҷҷӅҶҬҸүҷҷҸһҵҽҰҪӃҲҶϘҸҵҸҮҸҳҽӁүҷӅҳoӣoϝ
ϛҸҴҸҺҷҪӉϚҨϐҲҾҾүҺүҷӀҲҪҵӆҷӅүҲҭҺӅҬҬҸүҷҷӅҿҴҸҷҾҵҲҴҼҪҿϘҸҵҸҮҸҳҽӁүҷӅҳoӣoϝ
ϛҸҴҸҺҷҪӉϚҨϗүҭҴҸҮӅҶҸҬϝϚϔһҹҸҵӆұҸҬҪҷҲүĘBTIҪҷҲҶҪӀҲҳҬҽӁүҫҷҸҶҹҺҸӀүһһүϘҸҵҸҮҸҳҽӁүҷӅҳoӣo
ϝ
96
ISSN 2307-2447
‡”•’‡…–‹˜‡•‘ˆ…‹‡…‡ƒ††—…ƒ–‹‘ǡͤ͢͠͡ǡ͢͞ȋͨȌ
ώҪҺҪҷҲӀҴҪӉ ϘϘ ϔҷҾҸҺҶҪӀҲҸҷҷӅү ҼүҿҷҸҵҸҭҲҲ ҴҪҴ ҸҹҺүҮүҵӉӈӃҲҳ ҾҪҴҼҸҺ ҺҪұҬҲҼҲӉ ҸҫӄүҴҼҸҬ һҸӀҲҪҵӆҷҸ
ҲҷҾҺҪһҼҺҽҴҼҽҺҷӅҿӀүҷҼҺҸҬҺүҭҲҸҷҪ<ҧҵүҴҼҺҸҷҷӅҳҺүһҽҺһ>ϛүҺһҹүҴҼҲҬӅҷҪҽҴҲҲҸҫҺҪұҸҬҪҷҲӉoӣϜүҰҲҶ
ҮҸһҼҽҹҪIUUQQOPKPVSOBMXPSEQSFTTDPNBSDIJWFҮҪҼҪҸҫҺҪӃүҷҲӉ
ҢүҬӁҽҴ ό ώ ϔҷҾҸҺҶҪӀҲҸҷҷӅү ҼүҿҷҸҵҸҭҲҲ ҴҪҴ һҼҲҶҽҵҲҺҽӈӃҲҳ ҾҪҴҼҸҺ ҺҪұҬҲҼҲӉ ҺүҭҲҸҷҪҵӆҷӅҿ ҸҫҺҪұҸҬҪҼүҵӆҷӅҿ
һҲһҼүҶ <ҧҵүҴҼҺҸҷҷӅҳ ҺүһҽҺһ> ϛүҺһҹүҴҼҲҬӅ ҷҪҽҴҲ Ҳ ҸҫҺҪұҸҬҪҷҲӉ o ӣ ϜүҰҲҶ ҮҸһҼҽҹҪ IUUQQOPKPVSOBM
XPSEQSFTTDPNBSDIJWFҮҪҼҪҸҫҺҪӃүҷҲӉ
REFERENCES
1PLPSOBJB 0*V ,PWBMFWB .* 1PLPSOBJB **V 0O UIF UFBDIJOH PG OBUVSBMTDJFODF DPVSTFT JO IJHI TDIPPM XJUI UIF VTF PG
NVMUJNFEJBUFDIOPMPHJFTMolodoi uchenyi - Young scientistOP7PMQQJO3VTTJBO
1PLPSOBJB0*V1PLPSOBJB**V4BBEFLI4I*NQSPWFNFOUPGRVBMJUZPGFEVDBUJPOBMQSPDFTTJOIJHIFSNBUIFNBUJDTXJUIUIFVTF
PGNPEFSOJOUFSBDUJWFPOCFOFĕUTMolodoi uchenyi - Young scientistOPQQJO3VTTJBO
1PLPSOBJB0*V4FBSDITPMVUJPOTBTBNFBOTPGTPMWJOHPQUJNJ[BUJPOBOEHBNFUIFPSZ.PMPEPJVDIFOZJ:PVOHTDJFOUJTU
OPQQJO3VTTJBO
*WBOPWB0.1PLPSOBJB0*V"CPVUUIFNFUIPETPGVTFPGNVMUJNFEJBUFDIOPMPHJFTJOUFBDIJOHPGOBUVSBMTDJFODFEJTDJQMJOFT
GPSFJHONJMJUBSZQFSTPOOFMMolodoi uchenyi - Young scientist, 2012OPQQJO3VTTJBO
1PLPSOBJB0*V%JČFSFOUJBMHBNFTJONJMJUBSZDPOĘJDUTMolodoi uchenyi - Young scientistOPQQJO3VTTJBO
1PLPSOBJB0*V-FHLPEZNPW406TFPGĘBTIBOJNBUJPOTJOUIFFEVDBUJPOBMQSPDFTTMolodoi uchenyi - Young scientist
OPQQJO3VTTJBO
7BSBOJUTLBJB .. *OGPSNBUJPO UFDIOPMPHZ BT B EFUFSNJOJOH GBDUPS JO UIF EFWFMPQNFOU PG PCKFDUT PG TPDJBM JOGSBTUSVDUVSF PG
UIFDFOUFSTPGUIFSFHJPOPerspektivy nauki i obrazovaniia - Perspectives of science and educationOP"WBJMBCMFBUIUUQ
QOPKPVSOBMXPSEQSFTTDPNBSDIJWFBDDFTTFE"QSJM
4IFWDIVL"7*OGPSNBUJPOUFDIOPMPHZBTBTUJNVMBUJOHGBDUPSGPSUIFEFWFMPQNFOUPGSFHJPOBMFEVDBUJPOBMTZTUFNTPerspektivy
nauki i obrazovaniia - Perspectives of science and educationOP"WBJMBCMFBUIUUQQOPKPVSOBMXPSEQSFTTDPNBSDIJWF
BDDFTTFE"QSJM
Информация об авторах
Information about the authors
Покорная Ольга Юльевна
ϜҸһһҲӉώҸҺҸҷүҰ
ϖҪҷҮҲҮҪҼҾҲұҲҴҸҶҪҼүҶҪҼҲӁүһҴҲҿҷҪҽҴҮҸӀүҷҼ
ҴҪҾүҮҺӅҶҪҼүҶҪҼҲҴҲ
ώҸүҷҷҸҬҸұҮҽӂҷҪӉҪҴҪҮүҶҲӉҲҶүҷҲҹҺҸҾүһһҸҺҪ
ϙϑϒҽҴҸҬһҴҸҭҸҲҨόϏҪҭҪҺҲҷҪώҸҺҸҷүҰ
&NBJMLPTUPNBSPWP!ZBOEFYSV
Pokornaia Ol'ga Iul'evna
3VTTJB7PSPOF[I
1I%JO1IZTJDBMBOE.BUIFNBUJDBM4DJFODFT
"TTPDJBUF1SPGFTTPS
PGUIF%FQBSUNFOUPG.BUIFNBUJDT
;IVLPWTLZo(BHBSJO"JS'PSDF"DBEFNZ
&NBJMLPTUPNBSPWP!ZBOEFYSV
Леонов Михаил Михайлович
ϜҸһһҲӉώҸҺҸҷүҰ
ϖҽҺһҪҷҼ
ώҸүҷҷҸҬҸұҮҽӂҷҪӉҪҴҪҮүҶҲӉҲҶүҷҲҹҺҸҾүһһҸҺҪ
ϙϑϒҽҴҸҬһҴҸҭҸҲҨόϏҪҭҪҺҲҷҪώҸҺҸҷүҰ
Leonov Mikhail Mikhailovich
3VTTJB7PSPOF[I
$BEFU
;IVLPWTLZo(BHBSJO
"JS'PSDF"DBEFNZ
pnojournal.wordpress.com
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