''.'*':'1' :: : -': 'tr : €': i: r0_, -$, Jt? 6" % -i Trrtdns Dai hqc Su pham tp. ud cni uinn .,gF mt UAn nQC: pHUdNc pnAp ffn6 cft nhin vat ry - HK2 2007-08 Thdi gian : 90' - (sinh vi6n dudc phdp sft dung fii ti€u) 1. Tim nghiQm gdn dring cria phrrong trintr: tn (x-1) + cos (x-1) = 0 blng phrrong phrip Newton vdi ttQ chinh xr{c nh6 hon 10-5 trong do4n U,3;21. 2 2.Tinhtich phan xric ilinh Jx.h(r)rh bing: I a) Cdng thrlc hinh thang vdi brrdc h = 0,25. b) C6ng thrlc Simpson vdi brJdc h = 0.25. So silnh vdi giri tri chinh xric tinh bing phrrong phrip giii tich. 3. Cho bing giri tri sau: DUa vio biing tr€n, xdy-dung da thrfc dfi siit'A6 Newton vi tinh gdn tlring gi6 tri him t4i X.t=O,5. 4. Giei gdn dring bing phuOng ph:{p Euler phrrong trinh vi phdn: y'(x) = L + ytx trong [1,2] vdi didu ki€n ban <ldu :y(1) = 2 vd, btldc chia 0,2. So s:{nh vdi nghiQm chinh xiic: y = Xrlnx + 2x. 5. MO ph6ng bing phrrdng phrip Monte Carlo: Trinh biy thu{t toiin rinh sd pl (n) rh6ng qua tinh thd tich khO'i cdu brin kinh R. x 0 I 2 3 v 1 5 t2 25 . :: : -& apos;: 'tr : €': i: r0_, -$ , Jt? 6" % -i Trrtdns Dai hqc Su pham tp. ud cni uinn .,gF mt UAn nQC: pHUdNc pnAp ffn6 cft nhin vat ry - HK2 20 0 7-0 8 Thdi. nh6 hon 1 0-5 trong do4n U,3 ;21 . 2 2.Tinhtich phan xric ilinh Jx.h(r)rh bing: I a) Cdng thrlc hinh thang vdi brrdc h = 0 ,25 . b) C6ng thrlc Simpson vdi brJdc h = 0 .25 . So silnh. y'(x) = L + ytx trong [1 ,2] vdi didu ki€n ban <ldu :y(1) = 2 vd, btldc chia 0 ,2. So s:{nh vdi nghiQm chinh xiic: y = Xrlnx + 2x. 5. MO ph6ng bing phrrdng phrip