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B GD&T CNG HO X HI CH NGHA VIT NAM Trng i hc SPKT c lp T do
Hnh phc Khoa: Khoa hc c bn *******
Chng trnh Gio dc i hc Ngnh o to: Trnh o to: i hc. CTCDKT &
CDN Chng trnh o to: Trnh i hc. HSPKT. CT o to lin thng 2 &
3.
cng chi tit hc phn 1. Tn hc phn: Ton cao cp A1 M hc phn: MATH
130101 2. Tn Ting Anh: Advanced Mathematics 1 3. S tn ch: 3 4. Phn
b thi gian: (hc k 15 tun) 3(3:0:6) 5. Cc ging vin ph trch hc
phn
1/ GV ph trch chnh: Nguyn Vn Ton 2/ Danh sch ging vin cng
GD:
2.1/ Phm Ph Mai 2.2/ Hong Th Minh Tho
6. iu kin tham gia hc tp hc phn Mn hc trc: Khng Mn hc tin quyt:
Khng 7. M t tm tt hc phn
Hc phn ny trang b cho ngi hc cc kin thc c bn v gii hn, tnh lin
tc v php tnh vi tch phn ca hm mt bin, chui s, chui hm.
8. Chun u ra ca hc phn Kin thc: 8.1/ S dng c cc hm s cp. Tnh c
cn bc n ca s phc. 8.2/ S dng c: cc gii hn c bn, cc v cng b tng ng,
v cng ln tng ng kh cc dng v nh. 8.3/ Trnh by c cc tnh cht c bn ca
hm lin tc v phn loi c cc im gin on.
8.4/ Tnh c o hm, vi phn ca hm s. 8.5/ S dng c cng thc Taylor v
qui tc LHospital.
8.6/ Kho st v v c ng cong trong h ta Descartes, ng cong cho bi
phng trnh tham s, ng cong cho trong ta cc.
8.7/ Tnh c tch phn bt nh, tch phn xc nh. 8.8/ Tnh c tch phn suy
rng. Kho st c s hi t ca tch phn suy rng.
8.9/ Kho st c s hi t ca chui s. 8.10/ Tm c min hi t ca chui ly
tha. Khai trin c hm thnh chui ly tha.
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8.11/ Khai trin c hm thnh chui Fourier.
K nng: 8.12/ S dng c cc php tnh gii hn, o hm, vi phn, tch phn v
chui.
8.13/ Phn tch v nhn dng gii c cc bi ton tng hp.
Thi ngh nghip: 8.14/ Cn thn, t m khi tnh ton. 8.15/ Kin tr khi
gii quyt vn .
9. Nhim v ca sinh vin SV khng thc hin mt trong cc nhim v sau y s
b cm thi:
- D lp: ti thiu 80% s tit ging. - Bi tp: hon thnh bi tp do GV
giao.
10. Ti liu hc tp - Sch, gio trnh chnh: Nguyn nh Tr (ch bin). Ton
hc cao cp , tp 2-NXB gio
dc 2004. - Sch (TLTK) tham kho: Nguyn Vit ng, L Thi Thin Hng,
Nguyn Anh Tun,
L Anh V. Ton cao cp 1, NXBGD 1999.
11. T l phn trm cc thnh phn im v cc hnh thc nh gi sinh vin : -
nh gi qu trnh: 30% - Thi cui hc k: 70% [thi t lun, m (ti thiu 90
pht)]
12. Thang im: 10 13. K hoch thc hin (Ni dung chi tit) hc phn
theo tun
Tun th 1-3: Chng 1: GII HN ( 9/0/18) D kin cc CR c thc hin sau
khi kt thc ND A/ Tm tt cc ND v PPGD chnh trn lp: (9)
8.1/ S dng c cc hm s cp. Tnh c cn bc n ca s phc.
8.2/ S dng c: cc gii hn c bn, cc v cng b tng ng, v cng ln tng ng
kh cc dng v nh.
8.3/ Trnh by c cc tnh cht c bn ca hm lin tc v phn loi c cc im
gin on.
Ni Dung (ND) GD chnh trn lp + Hm s. + Cc hm s s cp c bn. Hm s s
cp. + Gii hn dy s. + Gii hn hm s. + V cng b, v cng ln. + Phn loi im
gin on. + Dng lng gic v cn bc n ca s phc.
Tm tt cc PPGD chnh: + Thuyt trnh + Trnh chiu Powerpoint
B/ Cc ni dung cn t hc nh: (18) D kin cc CR c thc hin sau khi kt
thc t hc
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Cc ni dung cn t hc chnh: + S thc, dng i s ca s phc + nh ngha hm
lin tc + Tnh cht + Lm cc bi tp c giao
Ti liu hc tp: + Nguyn nh Tr (ch bin). Ton hc cao cp , tp 2-NXB
gio dc 2004
8.1/ S dng c cc hm s cp. 8.2/ S dng c: cc gii hn c bn, cc v cng
b tng ng, v cng ln tng ng kh cc dng v nh. 8.3/ Trnh by c cc tnh cht
c bn ca hm lin tc v phn loi c cc im gin on.
Tun th 4-7: Chng 2: PHP TNH VI PHN HM
MT BIN ( 12/0/24) D kin cc CR c thc
hin sau khi kt thc ND
A/ Tm tt cc ND v PPGD chnh trn lp: (12) 8.4/ Tnh c o hm, vi phn
ca hm s. 8.5/ S dng c cng thc Taylor v qui tc LHospital. 8.6/ Kho
st v v c ng cong trong h ta Descartes, ng cong cho bi phng trnh
tham s, ng cong cho trong ta cc.
Ni Dung (ND) chnh trn lp: + nh ngha o hm. + o hm hm ngc. + o hm
cp cao. + nh ngha vi phn, lin h gia o hm v vi phn. + Tnh bt bin ca
biu thc vi phn. + Vi phn cp cao. + Cng thc Taylor, cng thc
Maclaurin. + Quy tc LHopital. + Kho st hm s cho bi phng trnh tham
s. + Kho st hm s trong h ta cc. Tm tt cc PPGD chnh: + Thuyt trnh +
Trnh chiu Powerpoint
B/ Cc ni dung cn t hc nh: (24) D kin cc CR c thc hin sau khi kt
thc t hc
Cc ni dung cn t hc chnh: + Cng thc tnh o hm. + Cc nh l v gi tr
trung bnh. + Kho st hm s y = f(x) + Lm cc bi tp c giao Ti liu hc
tp: + Nguyn nh Tr (ch bin). Ton hc cao cp , tp 2-NXB gio dc
2004
8.4/ Tnh c o hm, vi phn ca hm s.
8.5/ S dng c cng thc Taylor v qui tc LHospital.
8.6/ Kho st v v c ng cong trong h ta Descartes, ng cong cho bi
phng trnh tham s, ng cong cho trong ta cc.
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Tun th 8-10: Chng 3: PHP TNH TCH PHN CA HM MT BIN ( 9/0/18)
D kin cc CR c thc hin sau khi kt thc ND
A/ Tm tt cc ND v PPGD chnh trn lp: (9) 8.7/ Tnh c tch phn bt nh,
tch phn xc nh. 8.8/ Tnh c tch phn suy rng. Kho st c s hi t ca tch
phn suy rng.
Ni Dung (ND) chnh trn lp: + Tch phn bt nh. + Bng cng thc c bn. +
nh ngha tch phn xc nh. + Cng thc Newton- Leibniz. + o hm theo cn. +
Tch phn suy rng vi cn v hn: nh ngha, tiu chun hi t. + Tch phn suy
rng ca hm c im gin on v cng: nh ngha, tiu chun hi t.
Tm tt cc PPGD chnh: + Thuyt trnh
+ Trnh chiu Powerpoint
B/ Cc ni dung cn t hc nh: (18) D kin cc CR c thc hin sau khi kt
thc t hc
Cc ni dung cn t hc chnh: + Tnh cht ca tch phn bt nh. + Cc phng
php tnh tch phn bt nh. + Tch phn ca cc hm hu t , lng gic , v t. +
Tnh cht ca tch phn xc nh. + Cc phng php tnh tch phn xc nh. + ng dng
tnh tch phn xc nh tnh din tch hnh phng. + Lm cc bi tp c giao.
Ti liu hc tp: + Nguyn nh Tr (ch bin). Ton hc cao cp , tp 2-NXB
gio dc 2004
8.7/ Tnh c tch phn bt nh, tch phn xc nh. 8.8/ Tnh c tch phn suy
rng. Kho st c s hi t ca tch phn suy rng.
Tun th 11-15: Chng 4: CHUI ( 15/0/30) D kin cc CR c thc hin sau
khi kt thc ND
A/ Tm tt cc ND v PPGD chnh trn lp: (15) 8.9/ Kho st c s hi t ca
chui s. 8.10/ Tm c min hi t ca chui ly tha. Khai trin c hm thnh
chui ly tha. 8.11/ Khai trin c hm thnh chui Fourier. 8.12/ S dng c
cc php tnh gii hn, o hm, vi phn,
Ni Dung (ND) chnh trn lp: + Chui s: nh ngha, iu kin cn ca chui s
hi t, Tnh cht. + Chui s dng: nh ngha, Cc tiu chun hi t. + Chui s an
du. + Chui s hi t tuyt i. + Chui ly tha. Bn knh hi t ca chui ly
tha. + Chui Taylor, chui Maclaurin.
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+ Chui lng gic. Chui Fourier. + iu kin chui Fourier hi t. Tm tt
cc PPGD chnh: + Thuyt trnh + Trnh chiu Powerpoint
tch phn v chui.
B/ Cc ni dung cn t hc nh: (30)
D kin cc CR c thc hin sau khi kt thc t hc
Cc ni dung cn t hc chnh: + Tnh cht ca chui ly tha. + Khai trin
Fourier ca hm tun hon vi chu k ty . + Khai trin Fourier ca hm tun
hon chn (l). + Khai trin Fourier ca hm bt k. + Lm cc bi tp c
giao.
Ti liu hc tp: + Nguyn nh Tr (ch bin). Ton hc cao cp , tp 2-NXB
gio dc 2004
8.9/ Kho st c s hi t ca chui s. 8.10/ Tm c min hi t ca chui ly
tha. Khai trin c hm thnh chui ly tha.
8.11/ Khai trin c hm thnh chui Fourier.
8.12/ S dng c cc php tnh gii hn, o hm, vi phn, tch phn v
chui.
14. o c khoa hc:
Cc bi lm bi tp l sao chp ca nhau s b 0 im qu trnh, nu c t 3 ngi
ging nhau tr ln s b cm thi cui k nhng ngi c bi ging nhau.
Sinh vin khng hon thnh nhim v (mc 9) th b cm thi. 15. Ngy ph
duyt: 05/07/2012
16. Cp ph duyt: Trng khoa T trng BM Nhm bin son
17. Tin trnh cp nht CCT
Ln 1: Ni Dung Cp nht CCT ln 1: ngy/thng/nm
Ngi cp nht k v ghi r h tn)
T trng B mn:
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Ln 2: Ni Dung Cp nht CCT ln 2: ngy/thng/nm
Ngi cp nht k v ghi r h tn)
T trng B mn:
