1
Môc lôc
Mét sè c¬ së to¸n häc ............................................................................................... 4
0.1. TËp hîp ¸nh x¹, hµm sè ................................ 4
0.1.1. TËp hîp ......................................................................................................... 4
0.1.2. ¸nh x¹ ........................................................................................................... 4
0.1.3. Hµm sè .......................................................................................................... 4
0.2. Sù liªn tôc cña hµm sè. ............................... 4
0.2.1. Giíi h¹n cña hµm sè ...................................................................................... 5
0.2.2. Sù liªn tôc cña hµm sè ................................................................................... 5
0.2.3. D·y sè ........................................................................................................... 5
0.3. §¹o hµm, vi ph©n, tÝch ph©n ........................... 5
0.3.1. §¹o hµm ........................................................................................................ 5
0.3.2. Vi ph©n .......................................................................................................... 6
0.3.4. TÝch ph©n ....................................................................................................... 6
0.6. Vai trß, ý nghÜa cña c¸c ph-¬ng ph¸p tÝnh to¸n gÇn ®óng8
Sai sè .................................................................................................................................. 8
1.1. C¸c h×nh thøc sai sè .................................. 8
1.2. Ch÷ sè ®¸ng tin ....................................... 9
1.3. C¸ch viÕt xÊp xØ ...................................... 9
1.4. C¸ch viÕt quy trßn .................................... 9
1.5. §¸nh gi¸ sai sè cña hµm qua sai sè cña ®èi sè. ....... 10
1.6. Sai sè ph-¬ng ph¸p, sai sè tÝnh to¸n, sai sè tæng hîp 10
TÝnh gÇn ®óng nghiÖm thùc cña ph-¬ng tr×nh ®¹i sè vµ siªu viÖt ... 12
2.1. Ph¸t biÓu bµi to¸n ................................... 12
2.2. Kho¶ng c¸ch ly nghiÖm ................................ 12
2.3. Ph-¬ng ph¸p chia ®«i ................................. 12
2.4. Ph-¬ng ph¸p lÆp ...................................... 14
Ph-¬ng ph¸p: .............................................. 15
2.5. Ph-¬ng ph¸p d©y cung ................................. 15
2.6. Ph-¬ng ph¸p tiÕp tuyÕn (hay ph-¬ng ph¸p Newton) ...... 17
NghiÖm gÇn ®óng cña hÖ ph-¬ng tr×nh ........................................................... 19
3.1. Ph¸t biÓu bµi to¸n ................................... 19
3.2. NghiÖm gÇn ®óng cña hÖ tuyÕn tÝnh .................... 19
3.2.1. ChuÈn ma trËn, chuÈn vÐc t¬ ....................................................................... 19
3.2.2.** Ph-¬ng ph¸p Gauss ................................................................................. 20
3.2.3. Ph-¬ng ph¸p lÆp ®¬n ................................................................................... 24