TI LIEU HUNG DN CO BN S DUNG PHN MM MATHEMATICA5.0 TRN MY VI TNH Bin soan : Trn Minh Th Chng ta c 02 cch d goi hm s trong vic tnh ton Cch 1 : Khi m Mathematica 5.0 ln , ta lm theo cc buc sau : Vo FiIe chon muc PaIettes, trong muc ny c 9 muc d ta chon ng vi cc hm m ta cn nhp , thng thung ta chon muc (4 BasicInput) v muc(3 BasicCaIcuIations) , cn cc muc khc ban c th chon d tm mt hm no d m ban cn .Dng k hiu c sn theo cch 1 s nhanh hon tr cc cu lnh SoIve , DsoIve ,PIot . . . phi nhp vo bng ch Cch 2 :Ta c th ghi truc tip t bn phm khi con tr xut hin trn mn hnh nhp (input) Sau dy l bng cc hm s m ta c th nhp truc tip bng bn phm. Trong Mathematica Biu thc ton Trong MathematicaBiu thc ton Sqrt[x] x^(1/n)hoc 3
Log[x] ln(x) x* yhoc x yx nhn y Sin[x]sin(x)Sinh[x]Hm Hype sin Cos[x]cos(x)Cosh[x]Hm Hype cos Tan[x]tan(x) Tanh[x]Hm Hype tang Log[a,b] 4, - Pi s 6
ArcSin[x]arcsin(x) Limit[ ) ( 1 , x-> 0 ] Tnh gii han Exp[x]
0 Sum[biu thc, =min max, ,] Tnh tng Factoria[n] , nn !D[ ) ( 1 ,]Tm dao hm Mod[n,m] S du ca 32 Integrate[ ) ( 1 ,]Tnh nguyn hm FactorInteger[n] Phn tch ra tha s nguyn t ca n Integrate[ ) ( 1 ,= , , ,-] Tnh tch phn xc dinh Abs[x]Gi tri tuyt di ca x SoIve[ ) ( 1 0 , ] SoIve[ == , 0, 0 , , 1 1] Gii phuong trnh H phuong trnh x^y
PIot[ ) ( 1 , = , , ,-] V d thi x/y
FindRoot[ ) ( 1 0, =0,] FindRoot[ = 1(x,y) 0,(x,y) 0,=0,, =0, ] Tm nghim x ,y ln cn ca 0 , 0 Ngoi ra chng ta c th xem thm cc bi tp mu trong phn HeIp -> HeIp Browser -> cc phn chon -> Further ExampIesca Menu chnh nhu bng sau Ta g vo ch Apart v n chut vo Go d tm kim Cc Inh khai trin biu thc Apart[ biu thc , bin] : Khai trin mt biu thc dang phn s hu t thnh tng cc mu thc don gin VD : Nhp vo n SHIFTENTER Kt qu : Factor[biu thc, bin] : ua t tng v dang tch Expand[biu thc, bin] : ua t tch v tng SimpIify[biu thc, bin]: on gin ha biu thcTogether[biu thc, bin] : Nhm mu s chung N[gi tri chnh xc , n]hoc//N : Ly gi tri gn dng , n l s ch s cn hin thi **** Ch : Cc Inh trong Mathematica c phn bit ch hoa v ch thung LENH THUC HIEN E MY BAT U TNH L : n dng thi SHIFT ENTER ( hoc chi n phm ENTER gc dui bn phi ca bn phm) MOT VI V DU : 1. GII HE PHUONG TRNH VI IU KIEN NGHIEM NGUYN Nhp vo : ApartA1H3+ xLH1+xL3,xE12H1+ xL3-14H1+ xL2+18H1+ xL-18H3+ xL n SHIFTENTER My hin : C[1]ntegers&&x+42 C[1]&&y4-89 C[1]&&z20+40 C[1]&&t0+ C[1] Chon kt qu I : x = 6, y = 4 , z = 20 , t = 702. GII BT PHUONG TRNH VI IU KIEN NGHIEM NGUYN Nhp vo : n SHIFTENTER Kt qu :n9123. 3. TNH AO HM VD 1 : Tm dao hm ca) 7 3 5 3 ( 3 sin7 Nhp vo : n SHIFT ENTER Kt qu : VD 2 : Tnh gi tridao hm ca) 7 3 5 3 ( 3 sin7tai
6 Nhp vo : n SHIFT ENTER Kt qu : 4.TNH NGUYN HM Integrate[ ) ( 1 ,]hoc
/1 ) (VD :Tm nguyn hm ca 9an 43 5 Nhp vo n SHIFT ENTER Kt qu : #0/:.0Ax+ y+ z+t S100&&5 x+ 3 y+15 z+ 7 tS536&&7 x+ 4 y+12 z+ 6 tS488&&HxyztL Int00rs, 8x, y, z, t::@xD110ikjj5J2-"####5Nx+ 2!!!!5 J2-"####5Nx+ 5J2+"####5Nx- 2!!!!5 J2+"####5Nxy{zz>>
