chuong trinh dao tao tin chi - chkt dai hoc cong nghe dhqghn

8/4/2019 Chuong Trinh Dao Tao Tin Chi - CHKT Dai Hoc Cong Nghe DHQGHN

1/842

1

MC LC

Trang

Phn 1: Khung chng trnh o to i hc ngnh C hc k thut 2

Phn 2: Chng trnh chi tit o to i hc theo h thng tn ch ngnhC hc K thut

13

cng chi tit cc mn thuc khi kin thc c s ca ngnh 14

cng chi tit cc mn thuc khi kin thc chuyn ngnh C hcThy kh Cng nghip v Mi trng

268

cng chi tit cc mn thuc khi kin thc chuyn ngnh C hck thut bin 412

cng chi tit cc mn thuc khi kin thc chuyn ngnh C hcin t

529

cng chi tit cc mn thuc khi kin thc chuyn ngnh Cngngh v tr

704


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PHN 1

KHUNG CHNG TRNH O TO I HC

NGNH C HC K THUT


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3

CHNG TRNH O TO I HC

NGNH C HC K THUT

I. MC TIU O TO

1.1. V kin thc

Trang b cho sinh vin khi kin thc nn tng v x hi v nhn vn, kin thc c bnca nhm ngnh (ton, l), kin thc c s ca ngnh c hc k thut v bc u nhngkin thc i cng v cc chuyn ngnh C hc thu kh cng nghip v mi trng; C hck thut bin; C in t v Cng ngh v tr.

Ni dung c th ca cc kin thc chuyn ngnh lun lun sn sng cho s cp nht theo kp trnh th gii v p ng yu cu v ngun nhn lc trnh cao cho x hi.

1.2. V k nng

C kh nng tip thu v pht trin kin thc trong hot ng nghin cu sng to v ngdng cng ngh mi, ng thi c th trc tip thc hin cc tnh ton phn tch, thit k vch to cc sn phm cng nghip phc v s nghip CNH HH t nc.

1.3. V nng lc

Sau khi tt nghip, k s c hc k thut c phng php t duy khoa hc v h thng,c nng lc sng to v vn dng tng hp kin thc vo thc tin, c th tip tc hc cc

bc cao hn hoc tham gia ngay vo lm vic trong cc c quan nghin cu, ging dy haydoanh nghip hot ng trong lnh vc lin quan n c hc k thut.

1.4. V thi

C phm cht o c tt, c thc cng hin cho s nghip xy dng v bo v tquc, say m khoa hc v t rn luyn nng cao phm cht chnh tr v nng lc chuyn mn.

1.5. V cc chuyn ngnh c th

a. Chuyn ngnh C hc thy kh cng nghip v mi trng

o to cc k s c kin thc c bn v c kh nng s dng thnh tho k thut mhnh ho, tnh ton phn tch v nh gi cc qu trnh thu kh cng nghip (du kh, nnglng), cc qu trnh cng ngh d bo v gim st nhim mi trng trn c s cc thnhtu hin i ca cng ngh thng tin.


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b. Chuyn ngnh C hc k thut bin

o to cc k s c kin thc c bn, trnh tin tin v lnh vc c hc k thut bin, c kh nng tng hp v ng dng cc phng php hin i ca CHKT bin (cngtrnh v mi trng bin) trong vic khai thc, bo tn v pht trin ti nguyn bin v cclnh vc lin quan.

c. Chuyn ngnh C in t

o to cc k s c kin thc c bn tt, c k nng thc hnh cao, c kh nng nmbt cc vn k thut cng ngh lun i mi, c kh nng tng hp lin ngnh sng to,thit k v ch to sn phm mi trong lnh vc ny.

d. Chuyn ngnh Cng ngh v tr

o to cc k s c kin thc c hc (kh ng hc, thit b y, kt cu v vt liu,qu o bay,.) nn tng phc v vic ch to, iu khin v khai thc s dng v tinh hay

cc thit b bay khc nhm gp phn trin khai chin lc nghin cu v ng dng cng nghv tr ca Vit Nam. Cc k s c hc k thut chuyn ngnh Cng ngh v tr c th thamgia vo cc vic thit k, ch to v s dng v tinh.

II. NI DUNG CHNG TRNH O TO

2.1. Tng s tn ch phi tch ly: 154, trong :

Khi kin thc chung 33 tn ch

(Khng tnh cc mn hc GDTC v GDQP)

Khi kin thc khoa hc x hi v nhn vn 04 tn ch+ T chn 04/08 tn ch

Khi kin thc c bn ca nhm ngnh 25 tn ch

Khi kin thc c s ca ngnh 51 tn ch

Khi kin thc chuyn ngnh 26 tn ch

+ Bt buc 22 tn ch

+ T chn 04 tn ch

n tt nghip 15 tn ch


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5

2.2. Khung chng trnh o to

S

TTMn hc

S

tnc

h

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,

thnghim,

ind,studio

Thc,

tnghincu

Lthuy

t

Bitp

Tholun

I

Khi kin thc chung

(khng tnh cc mn hc

t 12 n 16)

33

1 Trit hc Mc Lnin 4 40 10 10

2Kinh t chnh tr Mc Lnin

3 30 12 3 1

3Ch ngha x hi khoahc

2 20 2 6 2 2

4Lch s ng Cng snVit Nam

2 24 4 2 2

5 T tng H Ch Minh 2 20 6 2 2 4

6 Tin hc c s 1 4 20 2 38

7 Tin hc c s 2 2 16 2 12 6

8 Ngoi ng c s 1 4 18 18 18 6

9 Ngoi ng c s 2 3 15 13 13 4 8

10 Ngoi ng c s 3 3 15 13 13 4 9

11 Ngoi ng chuyn ngnh 4 18 18 18 6 10

12 Gio dc th cht 1 2 2 26 2

13 Gio dc th cht 2 2 2 26 2 12

14 Gio dc quc phng 1 2 14 12 4

15 Gio dc quc phng 2 2 14 12 4 14

16 Gio dc quc phng 3 3 18 3 21 3


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

IIKhi kin thc khoahc x hi v nhn vn

4/8

17 Logic hc i cng 2 20 6 4 1

18 Tm l hc i cng 2 20 4 4 2

19 Gio dc hc i cng 2 14 6 10

20Khoa hc qun l icng

2 20 5 5

IIIKhi kin thc c bnca nhm ngnh 25

21 Ton cao cp (i s 1) 2 20 10

22 Ton cao cp (i s 2) 2 20 10 21

23 Ton cao cp (Gii tch 1) 5 45 30

24 Ton cao cp (Gii tch 2) 5 45 30 23

25 Vt l i cng 1 3 32 9 4 22, 24

26 Vt l i cng 2 3 32 9 4 22, 24

27 Vt l i cng 3 2 20 7 3 22, 24

28 Thc tp vt l i cng 3 45 2527

IVKhi kin thc c sca ngnh 51

29 Phng trnh vi phn vo hm ring

3 30 15 22, 24

30 C hc l thuyt 1 2 20 10 29

31 C hc l thuyt 2 2 20 10 30

32C hc mi trng lintc

4 38 16 6 31


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

33 C s d liu v GIS 2 20 10 22, 24

34 K thut in v in t 3 34 8 3 28

35 Ngn ng lp trnh(FORTRAN)

2 16 2 2 10 7, 22, 24

36 C hc vt rn bin dng 3 41 4 32

37 C hc cht lng 3 36 9 32

38K thut hin th mytnh

2 11 1 18 7, 22

39K thut m hnh m

phng2 15 4 11 35

40Cc phng php tnhtrong c hc

3 27 12 6 29, 31

41Sc bn vt liu v chc kt cu

4 16 29 13 2 36

42 L thuyt mch 2 25 5 34

43L thuyt iu khin tng

3 37 829, 31,42

44Thy kh ng lc ngdng

2 22 828, 32,41

45Phng php thcnghim trong c hc 2 22 8

32, 35,43

46Xc sut v thng k ngdng

3 30 15 35

47V k thut v t ngha thit k (CAD/CAM)

2 15 9 3 3 7, 22, 24


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

48 Nhit k thut 2 24 622, 24,28

VKhi kin thc chuynngnh

26

V.1Chuyn ngnh Thy khcng nghip v mitrng

26

V.1.1 Cc mn hc bt buc 8

49 ng lc hc sng 2 20 10 37, 40

50ng lc hc v mitrng khng kh

2 22 4 4 32

51 My v thit b thy kh 2 22 8 37

52 C hc cht lng thcnghim

2 12 18 4951

V.1.2 n mn hc 6

53 ng lc hc sng 2 10 18 2 49

54ng lc hc v mitrng khng kh

2 14 16 50

55 My v thit b thy kh 2 10 20 51

V.1.3 Cc mn hc t chn 4/8

56 K thut mi trng 2 16 6 832, 38,51

57 Dng chy hai pha 2 22 5 337, 44,48

58Dng chy trong mitrng rng

2 21 6 332, 35,40, 51


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

59 L thuyt chy 2 22 8 28

V.1.4 Cc mn hc thc tp 8

60 Thc tp chuyn ngnh 5 15 1 59V.1.3,

5255

61 Thc tp cn b k thut 3 6 30 9 60

V.2Chuyn ngnh C hck thut bin

26


62Thy ng lc hc vmi trng bin

4 35 5 5 1522, 24,28, 37

63Cng trnh bin ngoikhi v tin cy

2 25 5 0 41, 46

64Cng trnh bin ven b:, cng v ng ng,

b cha2 26 4 41, 62

V.2.2 n mn hc 6

65Thy ng lc hc vmi trng bin

2 5 5 20 62

66Cng trnh bin ngoikhi v tin cy

2 5 5 20 63

67Cng trnh bin ven b:, cng v ng ng,

b cha

2 4 2 24 64


68Thit k v thi cng cngtrnh bin

4 45 15 63, 64


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

69 iu khin kt cu 2 26 2 2 35,63, 64

70 C hc ph hy 2 30 41

71 C hc vt liu composite 2 22 8 41

72 Th nghim o c mitrng bin 2 12 6 8 4 63, 64


73 Thc tp chuyn ngnh 5 5 5 65V.2.3,

6567

74 Thc tp cn b k thut 3 6 30 9 73

V.3 Chuyn ngnh C in t 26


75 Nhp mn c in t 2 16 2 3 3 6 34, 43

76M phng v thit k hc in t

2 13 2 1 12 229, 31,34

77K thut o lng v uo

2 22 5 3 34

78in t cng sut v iukhin ng c

2 24 6 34, 43

V.3.2 n mn hc 6

79M phng v thit k hc in t

2 12 3 12 3 76

80K thut o lng v uo

2 5 5 20 77

81in t cng sut v iukhin ng c

2 5 5 20 78


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun


82 C in thc nghim 2 10 20 45

83T ng ha qu trnhsn xut

2 24 3 341, 43,46, 77

84ng c v c s truynng in

2 21 2 1 6 34, 43

85 My CNC v CAD/CAM 2 15 5 2 8 43, 80

86 Robot 2 18 3 3 3 3 36

87Vi iu khin v cc hnhng

2 22 5 3 40, 42


88 Thc tp chuyn ngnh 5 10 10 46 9V.3.3,75,

7981

89 Thc tp cn b k thut 3 6 30 9 88

V.4Chuyn ngnh Cngngh v tr

26


90 Nhp mn cng ngh v

tr

2 3024, 28,

3191 Kt cu thit b bay 2 30 41

92 Cm bin v iu khinv tinh

2 22 8 34, 43

93Thit k v tch hp vtinh nh

2 15 8 747,

9092


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S

TTMn hc

St

n

ch

Loi gi tn ch

Mn hc

tin quyt

(s TT

ca mnhc)

Ln lp

Thchnh,th

nghim,

ind,s

tudio

Th

c,

tnghin

cu

Lthuyt

Bitp

Tholun

V.4.2 n mn hc 6

94 Kt cu thit b bay 2 5 5 15 5 91

95Cm bin v iu khinv tinh

2 5 5 15 592

96Thit k v tch hp vtinh nh

2 5 5 15 5 93


97Th nghim kt cu thit

b khng gian2 15 8 7

41, 47,,91

98 C hc qu o bay 2 22 8 90

99 Truyn thng v tinh 2 22 834, 43,93

100 Vt liu thit b bay 2 30 41

101 Nhp mn kh ng hcthit b bay

2 22 8 44

102 H thng y thit b bay 2 30 37, 41


103 Thc tp chuyn ngnh 5 10 10 46 9

V.4.3,

90,

9496104 Thc tp cn b k thut 3 6 30 9 103

VI n tt nghip hoctng ng

15

Tng cng 154


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PHN 2

CHNG TRNH CHI TIT O TO I HC

THEO H THNG TN CH

NGNH C HC K THUT


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CNG CHI TIT CC MN

THUC KHI KIN THC C S CA NGNH


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PHNG TRNH VI PHN V O HM RING

1. Thng tin v ging vin

H v tn: Trn Dng TrChc danh, hc hm, hc v: TS

Thi gian, a im lm vic: T 8g n 17g, Nh G2, HQGHN, 144 ng XunThu, Cu Giy, H Ni

a ch lin h: Nh G2, HQGHN, 144 Xun Thu, Cu Giy, H Ni

in thoi: 7549431

Email: [email protected]

Cc hng nghin cu chnh: Dao ng ngu nhin; Dao ng phi tuyn; Phng phps trong dao ng; X l tn hiu dao ng.

H v tn : Nguyn Tin Khim

Chc danh, hc hm, hc v: Gio s, Tin s khoa hc

Thi gian, a im lm vic: Vin C hc

i ch lin h: Vin C hc 264 Ph i Cn, ba nh, H Ni

in thoi: 8329705


Cc hng nghin cu chnh: Dao ng c hc l thuyt v thc nghim

ng lc hc cng trnhNhn dng cc h c hc

Chn on k thut cng trnh

2. Thng tin chung v mn hc

Tn mn hc: Phng trnh vi phn v o hm ring M mn hc: EMA2001 S tn ch: 03 Mn hc: Bt buc:

La chn:

Cc mn hc tin quyt: i s 2, Gii tch 2 Cc mn hc k tip: Cc yu cu i vi mn hc (nu c): Gi tn ch i vi cc hot ng:

Nghe ging l thuyt: 30 gi tn ch


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Lm bi tp trn lp: 15 gi tn ch Tho lun: 0 Thc hnh, thc tp ( PTN, nh my, studio, in d, thc tp...): 0 Hot ng theo nhm: 0 T hc: 0 gi tn ch

a ch Khoa/ b mn ph trch mn hc: Nh G2, HQGHN, 144 ng XunThu, Cu Giy, H Ni

3. Mc tiu ca mn hc

V kin thc: Cung cp cho sinh vin mt s m hnh ton hc, vt l, c hc dn nphng trnh vi phn (ODE), phng trnh o hm ring (PDE) v ngha vt l cachng; Cung cp cc thut ton c dng thit lp, nhn dng, kho st tnh chtnghim v cc phng php gii ODE v PDE.

K nng: lm tt cc bi tp v thut gii ODE, PDE; Thi , chuyn cn: ln lp y v chun b cho gi ln lp theo yu cu ca gio

vin, tr bi y (bi tp, bi tm tt,...)

4. Tm tt ni dung mn hc

Mn hc Phng trnh vi phn v o hm ring gm hai phn chnh: Phng trnh viphn v Phng trnh o hm ring.

Phn Phng trnh vi phn trnh by v:

+ Cc phng php kho st nghim ca cc ODE cp 1, cch tm nghim k d vqu o ng gic;

+ Cc phng php kho st nghim ca cc ODE cp n gii c hoc h thp cpc;

+ Cc phng php kho st nghim ca cc ODE tuyn tnh cp n;+ Cc phng php kho st nghim ca h ODE

Phn Phng trnh o hm ring trnh by v:

+ L thuyt PDE tuyn tnh thng qua cc phng trnh c trng: Phng trnhLaplace, Phng trnh truyn sng, Phng trnh truyn nhit;

+ Phng php kho st: phng trnh Laplace, phng trnh truyn sng, phngtrnh truyn nhit v p dng.

5. Ni dung chi tit mn hc

PHN I. PHNG TRNH VI PHN THNG 27(17 10 0)


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Chng 1. Phng trnh vi phn cp mt 3(2 1 0)

1.1. Cc khi nim m u

1.1.1. V d v phng trnh vi phn

1.1.2. nh ngha, bi ton Csi (Cauchy)

1.1.3. ngha hnh hc1.2. S tn ti v duy nht nghim ca bi ton Cauchy

1.2.1. nh l Csi Picar (tn ti v duy nht nghim)

1.2.2. S ko di nghim

1.3. Cc loi nghim ca phng trnh vi phn cp mt

1.3.1. inh ngha

1.3.2. Nghim tng qut

1.3.3. Tch phn tng qut

1.3.4. Nghim ring

1.3.5. Nghim k d

1.4. S ph thuc lin tc ca nghim vo iu kin u

1.4.1. S ph thuc ca nghim vo iu kin ban u

1.4.2. S ph thuc ca nghim vo tham s

1.5. Mt s phng trnh vi phn gii c bng cu phng

1.5.1. Phng trnh bin s phn ly v phn ly c

1.5.2. Phng trnh thun nht v phng trnh a c v dng thun nht

1.5.3. Phng trnh thun nht suy rng

1.5.4. Phng trnh tuyn tnh cp mt1.5.5. Phng trnh Becnuly (Bernoulli)

1.5.6. Phng trnh Dacbu (Darboux)

1.5.7. Phng trnh Ricati (Riccati)

1.5.8. Phng trnh vi phn ton phn

1.5.9. Tha s tch phn

Chng 2. Phng trnh vi phn cp mt cha gii ra o hm 3(2 1 0)

2.1. Cc phng trnh vi phn cp mt cha gii ra o hm dng c bit2.1.1 V d

2.1.2. Phng trnh dng 0)'y,x(F

2.1.3. Phng trnh dng 0)'y,y(F

2.2. Trng hp tng qut. Phng trnh Lagrng (Lagrange) v phng trnh Cler(Clairaut)

2.2.1. Trng hp tng qut


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2.2.2. Phng trnh dng )'y,x(y

2.2.3. Phng trnh dng )'y,y(y

2.2.4. Phng trnh Lagrng

2.2.5. Phng trnh Cler

2.3. Cch tm nghim k d ca phng trnh vi phn cp mt2.3.1. S tn ti v duy nht nghim

2.3.2. Tm nghim k d thep p bit tuyn

2.3.2. Tm nghim k d theo C bit tuyn

2.4. Bi ton qu o

Chng 3. Phng trnh vi phn cp cao 4(3 1 0)

3.1. Cc khi nim m u

3.1.1 nh ngha: dng phng trnh, nghim , nghim tng qut

3.2. nh l tn ti v duy nht nghim. Cc loi nghim ca phng trnh vi phn cp n

3.2.1. nh l tn ti duy nht nghim



3.2.4. Nghim ring

3.2.5. Nghim k d

3.3. Tch phn trung gian: tch phn u

3.4. Phng trnh vi phn cp cao gii c bng cu phng

3.4.1. Phng trnh dng F(x,y(n)) = 0 (phng trnh ch cha bin c lp v o hmcp cao nht)

3.4.2. Phng trnh dng F(y(n 1) ,y(n)) = 0 (phng trnh ch cha o hm cp n vcp n 1)

3.4.2. Phng trnh dng F(y(n 2) ,y(n)) = 0 (phng trnh ch cha o hm cp n vcp n 2)

3.5. Cc phng trnh vi phn cp cao h thp cp c

3.5.1. Phng trnh dng F(x, y(k),y(k+1),y(n)) = 0 (phng trnh khng cha hm phitm v o hm ca n n cp k 1)

3.5.2. Phng trnh dng F(y, y,y(n)) = 0 (phng trnh khng cha bin s c lp)

3.5.3. Phng trnh thun nht i vi hm phi tm v cc o hm ca n

3.5.4. Phng trnh m v tri l o hm ton phn

Chng 4. Phng trnh vi phn tuyn tnh cp n 6(4 2 0)

4.1. nh ngha v cc tnh cht c bn


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4.2. L thuyt tng qut v phng trnh vi phn tuyn tnh cp n

4.2.1. Cc tnh cht ca nghim phng trnh

4.2.2. S ph thuc tuyn tnh v c lp tuyn tnh ca h hm

4.2.3. nh thc Vronski

4.2.4. Cng thc Ostrogradski Liuvin4.2.5. H nghim c bn, nghim tng qut

4.3. Phng trnh tuyn tnh khng thun nht cp n


4.3.2. Phng php bin thin hng s (phng php Lagrng)

Chng 5. Mt s phng trnh vi phn tuyn tnh cp n dng c bit 3(2 1 0)

5.1. Phng trnh tuyn tnh thun nht h s hng s

5.1.1. Phng trnh c trng c n nghim thc khc nhau

5.1.1. Phng trnh c trng c n nghim khc nhau nhng trong chng c nghimphc

5.1.1. Phng trnh c trng c nghim bi

5.2. Phng trnh tuyn tnh khng thun nht h s hng s

5.2.1. V phi ca phng trnh l a thc cp m nhn vi hm m

5.2.2. V phi ca phng trnh l a thc lng gic cp m nhn vi hm m

5.3. Mt s phng trnh tuyn tnh cp n a c v phng trnh tuyn tnh vi h shng s

5.3.1. Php th bin c lp5.3.2. Phng trnh tuyn tnh le

5.3.3. Phng trnh Treebsep.

5.4. Phng trnh tuyn tnh thun nht cp hai

5.4.1. a phng trnh v dng khng cha o hm cp mt

5.4.2. S lin h gia phng trnh tuyn tnh thun nht cp 2 vi phng trnh Ricati

5.5. S dao ng ca nghim ca phng trnh tuyn tnh thun nht cp hai

5.5.1. Nghim dao ng v khng dao ng

5.5.2. nh l so snh

Chng 6. H phng trnh vi phn 6(4 2 0)

6.1. Cc khi nim m u

6.1.1 nh ngha

6.1.2. ngha C hc

6.2. Quan h gia phng trnh vi phn cp n v h n phng trnh vi phn cp mt


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6.2.1. a phng trnh vi phn cp n v h n phng trnh vi phn cp mt

6.2.2. a h phng trnh vi phn cp mt v phng trnh vi phn cp cao

6.3. Phng php t hp tch phn

6.4. nh l tn ti v duy nht nghim

6.4.1. Pht biu v chng minh nh l6.4.2. S ko di nghim

6.5. Cc loi nghim ca h phng trnh vi phn



6.5.3. Nghim ring

6.5.4. Nghim k d

6.6. H phng trnh vi phn tuyn tnh thun nht

6.6.1. Ton t vi phn tuyn tnh ca h

6.6.2. S ph thuc tuyn tnh v c lp tuyn tnh ca h vc t hm

6.6.3. H nghim c bn

6.6.4. Cng thc Ostrogadski Liuvin

6.7. H phng trnh vi phn tuyn tnh khng thun nht

6.7.1. Cc tnh cht nghim h phng trnh tuyn tnh khng thun nht

6.7.2. Phng php bin thin hng s

6.8. H phng trnh vi phn tuyn tnh vi h s hng s

Kim tra gi k: 2 tit

Phn II. PHNG TRNH O HM RING 18(14 4 0)

Chng 7. Phng trnh o hm ring cp mt 2(1.5 0.5 0)

7.1. Phng trnh o hm ring cp mt tuyn tnh thun nht

7.2. Phng trnh o hm ring cp mt tuyn tnh khng thun nht

Chng 8. Phn loi phng trnh o hm ring 2(1.5 0.5 0)

8.1. Phn loi v a v dng chnh tc phng trnh o hm ring cp hai, n hm haibin

8.2. Mt s bi ton vt l dn n phng trnh vi phn o hm ring

8.4. Phn loi v a v dng chnh tc phng trnh o hm ring cp hai, n hm nhiubin


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Chng 9. Phng trnh truyn sng 6(5 1 0)

9.1. Khi nim v phng trnh sng

9.2. Phng trnh dao ng ca dy

9.3. Gii phng trnh dao ng ca dy bng phng php tch bin

9.4. Dao ng xon ca thanh ng cht9.5. Dao ng vi bin nh ca mt si ch treo mt u

9.6. Phng trnh khng thun nht

9.7. Sng m trong cht kh hoc cht lng

9.8. Chuyn ng sng ca cht rn

9.9. Phng trnh dao ng ca mng

9.10. Gii phng trnh dao ng ca mng ch nht

9.11. Dao ng ca mng trn

9.12. Nghim DAlembert ca phng trnh sng

Chng 10. Phng trnh truyn nhit 5(4 1 0)

10.1. Phng trnh truyn nhit

10.2. Cc iu kin ban u v iu kin bin ca phng trnh truyn nhit

10.3. Phng trnh khuych tn

10.4. Qu trnh truyn nhit trong thanh, phng trnh truyn nhit mt chiu

10.5. Phng php tch bin cho phng trnh truyn nhit trong thanh hu hn

10.6. Truyn nhit trong thanh c ngun nhit

10.7. Bi ton truyn nhit hn hp10.8. Truyn nhit trong thanh di v hn

10.9. Khi nim v hm Green

10.10. Truyn nhit trong h ta tr

10.10. Truyn nhit trong h ta cu

Chng 11. Phng trnh Laplace 3(2 1 0)

11.1. M u

11.2. L thuyt th11.3. Phng trnh Helmholtz

11.4. Hm iu ha v cc tnh cht

11.5. Phng trnh Poission trong min ch nht

11.6. Phng trnh Poission trong min trn


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6. Hc liu

6.1.Hc liu bt buc

1. Nguyn Th Hon, Phm Phu; C s phng trnh vi phn v l thuyt n nh;Nh xut bn Gio dc; H ni, 2007;

2. Nguyn Mnh Hng; Phng trnh o hm ring; Phn 1; Nh xut bn i hcS phm; 2006, 2007.

3. Phan Huy Thin. Phng trnh Ton L. Nh xut bn Gio dc; 2007;

6.2. Hc liu tham kho

4.Nguyn Th Hon, Trn Vn Nhung; Bi tp phng trnh vi phn; Nh xut bnGio dc; 2005;

5. Cn Vn Tut. Phng trnh vi phn v phng trnh tch phn; Nh xut bn ihc S phm; H ni, 2005;

6. Nguyn Tha Hp; Gio trnh phng trnh o hm ring; Nh xut bn i hcQuc gia H ni; 2006.

7. Hnh thc t chc dy hc

7.1. Lch trnh chung:

Hnh thc t chc dy hc mn hc

TngLn lp Thc

hnh, thnghim,

in d ...

T hc,t

nghin

cu

L

thuytBi tp

Tho

lun

Ni dung 1: Chng 1. Phngtrnh vi phn cp mt 3 1 3

Ni dung 2: Chng 2. Phngtrnh vi phn cp mt cha gii rao hm

2 1 3

Ni dung 3: Chng 3. Phngtrnh vi phn cp cao 3 1 4

Ni dung 4: Chng 4. Phngtrnh vi phn tuyn tnh cp n 4 2 6

Ni dung 5: Chng 5. Mt s phng trnh vi phn tuyn tnhcp n dng c bit

2 1 3

Ni dung 6: Chng 6. H 4 2 6


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23

phng trnh vi phn

Ni dung 7: Chng 7. Phngtrnh o hm ring cp mt 1.5 0.5 2

Ni dung 8: Chng 8. Phn loi

phng trnh o hm ring 1.5 0.5 3

Ni dung 9: Chng 9. Phngtrnh truyn sng 5 1 4

Ni dung 10: Chng 10. Phngtrnh truyn nhit 4 1 5

Ni dung 11: Chng 11. Phngtrnh Laplace 2 1 5

Cng 31 14 45

7.2. Lch trnh t chc dy hc c th

Ni dung 1, tun 1

Hnh thc tchc dy hc

Thi gian,a im

Ni dung chnhYu cu SV

chun bGhi ch

L thuyt Theo b trca Phngo to i

hc

1. Cc khi nim chnh ca phng trnh vi phn (ODE)cp mt

2. S tn ti v duy nhtnghim ca bi ton Cauchy

3. Cc loi nghim ca ODEcp mt

4. Mt s ODE cp mt giic bng cu phng

5. Cch gii cc ODE cp mtcha gii ra i vi o hm

c ti liu [1]t trang 34 ntrang 62.

Tham kho tiliu [1],[4]

Bi tp nt

Tho lun nt

Thc hnh, thnghim, ind,

nt

T hc, t nt Lm bi tm tt Np


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24

nghin cu ni dung chnhca chng

chmim

Ni dung 1, ni dung 2 v ni dung 3, tun 2

Hnh thc tchc dy hc

Thi gian,a im

Ni dung chnh Yu cu SVchun b

Ghi ch

L thuyt

Theo b trca Phngo to ihc

1. Cch gii cc ODE cp mtcha gii ra i vi o hm(tip tc)

2. Cc ODE Lagrange, Clero

3. Cch tm nghim k d caODE cp mt; Bi ton quo

4. Phng trnh vi phn cpcao: khi nim, nh l tn tiv duy nht nghim

c ti liu [1],t trang 89 ntrang 97.

Tham kho tiliu [1] [4]

Bi tp ntTrnh by cch gii cc bi tp cho trong [1],[3] v bi tmtt (thuc tun 1)

Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, tnghin cu

ntLm bi tm ttni dung chnhca chng.

Npchmim

Ni dung 3, tun 3

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1. Phng trnh vi phn cpcao: khi nim, nh l tn tiv duy nht nghim (tip tc);Cc loi nghim; Tch phnu;

3.ODE cp cao gii c bng




25/842

25

cu phng

4.ODE cp cao h thp cp c


Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, tnghin cu

ntLm bi tm ttni dung chnhca chng

Npchmim

Ni dung 4, tun 4

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1.ODE tuyn tnh cp n (nhngha, tnh cht c bn)

2. L thuyt tng qut v ODEtuyn tnh thun nht cp n




Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, t

nghin cu nt

Lm bi tm tt

ni dung chnhca chng

Np

chmim


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26

Ni dung 4 v ni dung 5, tun 5

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt Theo b tr

ca Phngo to ihc

1.ODE tuyn tnh khng thun

nht cp n2.ODE tuyn tnh thun nhth s hng

Tham kho ti

liu [1] [4]


Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, tnghin cu


Npchmim

Ni dung 4, ni dung 5, tun 6

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1.ODE tuyn tnh khng thunnht h s hng

2. Mt s ODE tuyn tnh cpn a c v ODE tuyn tnhh s hng

3. ODE tuyn tnh thun nhtcp hai v dao ng nghimca n.


Tham kho tiliu [1], [4]


Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt


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27

T hc, tnghin cu


Npchmim

Ni dung 5 v ni dung 6, tun 7Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1.Dao ng nghim ca ODEtuyn tnh thun nht cp hai(tip tc)

2. H ODE; Quan h giaODE cp n v h n ODE cpmt




Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, t

nghin cu nt

Lm bi tm tt

ni dung chnhca chng

Np

chmim

Ni dung 6, tun 8

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1. Quan h gia ODE cp n vh n ODE cp mt (tip tc)

2. Phng php t hp tchphn; nh l tn ti duy nhtnghim; Cc loi nghim cah ODE

3.H ODE tuyn tnh thunnht

4.H ODE tuyn tnh khng

c ti liu [1],

t trang 220 ntrang 225, trang234 n 236



28/842

28

thun nht

Bi tp nt

Trnh by cch gii cc bi tp

cho trong [1],[3] v bi tmtt (thuc tun 7)

Gii bi tp nh

Chm

imtrn lp

Tho lun nt

Thc hnh, thnghim, ind...

nt

T hc, tnghin cu

nt

Ni dung 6, tun 9

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuytTheo b trca Phngo to H

1. H ODE tuyn tnh khngthun nht (tip tc)

2. Kim tra gia k

c ti liu [1],t trang 236 n245.

Bi tp nt


cho trong [1],[3] v bi tmtt (thuc tun 8)

Gii bi tp

nh

Chm

imtrn lp

Tho lun nt


nt

T hc, tnghin cu


Npchmim

Ni dung 7 v ni dung 8, tun 10:

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt Theo b tr 1.Phng trnh o hm ring c ti liu [4]


29/842

29

ca Phngo to ihc

(PDE) cp mt tuyn tnhthun nht v khng thunnht;

2. Phn loi v a v dngchnh tc PDE cp hai, n hm

hai bin

trang 307 n319

Bi tp nt

Tho lun nt


nt

T hc, tnghin cu

ntLm bi tm ttni dung chnh

ca chng 7

Npchm

im

Ni dung 8 v ni dung 9, tun 11:

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1*Mt s bi ton vt l dnn phng trnh vi phn ohm ring

2 Phn loi v a v dngchnh tc PDE cp hai, n hmnhiu bin.

Phng trnh sng:

3.Khi nim v phng trnhsng; Phng trnh dao ngca dy; Gii phng trnh daong ca dy bng phng

php tch bin;

*c ti liu [5]t trang 13 ntrang 28;

Tham kho tiliu [2]

Bi tp nt


cho trong [2] v bi tm tt(thuc tun 10)

Gii bi tp nh

Chm

imtrn lp

Tho lun nt


nt


30/842

30

T hc, tnghin cu

ntLm bi tm ttni dung chnhca chng 8

Npchmim

Ni dung 9 v ni dung 10, tun 12:Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt

Theo b trca Phngo to i

hc

1.Dao ng xon ca thanh ngcht

2*. Dao ng vi bin nh camt si ch treo mt u

3. Phng trnh khng thun nht

4.* Sng m trong cht kh hoc

cht lng

5. Chuyn ng sng ca cht rn

6.. Phng trnh dao ng camng

c ti liu[3] t trang54 n trang67

Tham kho

ti liu [2]

Bi tp ntTrnh by cch gii cc bi tp cho trong [2] v bi tm tt (thuctun11)

Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, tnghin cu

nt

Ni dung 10, tun 13:

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


1.Gii phng trnh dao ng camng ch nht;

2. Dao ng ca mng trn;

3.Nghim DAlembert caphng trnh sng;

Phng trnh truyn nhit:

c ti liu[3] t trang115 ntrang 125,

Tham khoti liu [2]


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4 Phng trnh truyn nhit, cciu kin ban u v iu kin

bin;

5.Phng trnh khuych tn

6.Qu trnh truyn nhit trong

thanh, phng trnh truyn nhitmt chiu

7.Phng php tch bin chophng trnh truyn nhit trongthanh hu hn;

Bi tp ntTrnh by cch gii cc bi tp cho trong [2] v bi tm tt (thuctun 12)

Gii bi tp nh

Chmimtrn lp

Tho lun nt

Thc hnh, thnghim, in d

nt

T hc, tnghin cu

nt

Lm bi tmtt ni dungchnh cachng 9

Npchmim

Ni dung 10 v ni dung 11, tun 14:Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt

Theo b trca Phngo to i

hc

1. Truyn nhit trong thanh cngun nhit;

2. Bi ton truyn nhit hn hp;

3. Truyn nhit trong thanh di vhn;

4*. Khi nim v hm Green

5* Truyn nhit trong h ta tr;

6*. Truyn nhit trong h ta cu;


Tham khoti liu [2]

Bi tp nt Trnh by cch gii cc bi tp cho trong [2] v bi tm tt (thuc

Gii bi tp nh

Chmim


32/842

32

tun 13) trn lp

Tho lun nt

Thc hnh, thnghim, in

d,

nt

T hc, tnghin cu

nt

Lm bi tmtt ni dungchnh cachng 10

Npchmim

Ni dung 11, tun 15:

Hnh thc tchc dy hc

Thi gian,a im


chun bGhi ch

L thuyt


Phng trnh Laplace:

1. M u ; L thuyt th

2. Phng trnh Helmholtz

3. Hm iu ha v cc tnh cht

4.Phng trnh Poission trongmin ch nht

5 Phng trnh Poission trongmin trn


Tham khoti liu [2]

Bi tp ntTrnh by cch gii cc bi tp cho trong [2] v bi tm tt (thuctun 14,15)

Gii bi tp nh

Chmimtrn lp

Tho lun nt


nt

T hc, tnghin cu nt

Lm bi tm

tt ni dungchnh cachng 11

Np

chmim

8. Chnh sch i vi mn hc v cc yu cu khc ca ging vin

Yu cu v cch thc nh gi, s hin din trn lp, mc tch cc tham gia cchot ng trn lp, cc qui nh v thi hn, cht lng cc bi tp, bi kim tra.


33/842

33

Chun b tt cc phn c giao t hc

C mt trn lp t nht l 36/45 gi hc

Mi sinh vin ln cha bi tp khng t hn 1 ln

Bi tp v bi kim tra t khng di 5/10

9. Phng php, hnh thc kim tra - nh gi kt qu hc tp mn hc

Phn chia cc mc tiu cho tng hnh thc kim tra nh gi

9.1. Kim tra nh gi thng xuyn

Mc ch: Nm vng v ODE, h ODE v PDE in hnh: ngha vt l, cch thit lp, phntch nghim, cu trc nghim, thut gii tng ng; Gii c mt s bi tp inhnh;

Cc mc tiu:

Hiu v thuc cc cng thc v nghim ca ODE, h ODE, cc PDE Nm chc ni dung v chng minh cc nh l quan trng Hiu tt l thuyt Nm bt k thut xy dng phng trnh, phn tch nghim,

Cc k thut nh gi

c phn ti liu hng dn theo tng phn; Vit v np li nhng kin thc thunhn c qua tng chng, mc c giao;

Bi tp theo tng ni dung mn hc; Kim tra gia k (ht phn ODE) v thi cui k.

T l im cho mi hnh thc KT-G:

Bi thi cui k: 60% Kim tra gia k: 20% Bi tp theo chng: 15% Thi chuyn cn: 5%

9.2. Kim tra - nh gi nh k: Bao gm cc phn sau:

STT Ni dung Trng s (%)

1.Tham gia hc tp trn lp (i hc y , chun b bi tt v tchcc tho lun, )

5

2.Phn t hc, t nghin cu (hon thnh tt ni dung, nhim vc giao /tun; bi tp nhm /thng; bi tp c nhn/ hc k, );

15

3. Hot ng theo nhm 0


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4. Kim tra nh gi gia k 20

5. Kim tra nh gi cui k 60

6. Cc kim tra khc 0

9.3. Tiu ch nh gi cc loi bi tp

1. Bi tp v l thuyt:

Trnh by tt bn cht vn yu cu, c m rng: 10 im

Trnh by ng bn cht vn yu cu: 8 9 im

Trnh by c vn mc trung bnh: 5 7 im

Trnh by cha ng bn cht, ni dung: 1 4 im

2. Bi tp v ng dng:

Lm tt c din gii v p s theo p n: 10 im

Vit ng din gii, sai p s: 7 9 imCh vit c din gii: 6 im

Ch bit cng thc, thay s ng: 5 im

Lm sai, khng lm c: 1 4 im

9.4. Lch thi, kim tra (k c thi li)

STT Ni dung thi, kim tra Lch thi Lch kim tra Ghi ch

1. Ni dung 1 v 215 pht u ca gi

hc tun th 3

2. Ni dung 3, 4 v 515 pht u ca gihc tun th 6

3. Ni dung 615 pht u ca gihc tun th 8

4. Ni dung 1 n 6Thi gia k (110

pht u ca gihc tun th 9)

5. Ni dung 9, 10, 11 15 pht u ca gihc u chng sau

6. Ton b 11 ni dung Thi cui kTheo lch chungca Trng

7. Thi liTheo lch chungca Trng


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C HC L THUYT 1

1.Thng tin v ging vin

H v tn : Nguyn Cao MnhChc danh, hc hm, hc v: Gio s , Tin s Khoa hc


i ch lin h: Vin C hc 264 Ph i Cn, Ba nh, H Ni

in thoi, email: [email protected]

Cc hng nghin cu chnh: Dao ng phi tuyn

Dao ng Ngu nhin

Chn on k thut

H v tn: o Nh Mai

Chc danh, hc hm, hc v: Nghin cu vin chnh, Tin s

Thi gian, a im lm vic: Phng 306, Vin C hc

i ch lin h: Vin C hc, 264 Ph i Cn, Ba nh, H Ni

in thoi: (844) 8326140

Email: [email protected], [email protected]

Cc hng nghin cu chnh:

M phng v phn tch kt cu bng phng php phn t hu hn. Chn on k thut cng trnh: Phn tch nhy cm ca kt cu nhm to lp c

s d liu cho vic chn on; Th nghim ng x l s liu o c c cc trng ng lc hc ca kt cu

Tng tc ca cng trnh v bin. Tnh ton ti trng mi trng bin tc ng lncng trnh.

Phn tch ng lc hc, phn tch mi v tin cy ca cc cng trnh bin ditc ng ca ti trng tin nh v ti trng ngu nhin.

2.Thng tin chung v mn hc

Tn mn hc: C hc l thuyt 1 M mn hc: EMA2002 S tn ch: 2 Mn hc: Bt buc:

La chn:

Cc mn hc tin quyt: 1. Ton cao cp


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2. Phng trnh vi phn thng

3. Phng trnh o hm ring

Cc mn hc k tip : Cc yu cu i vi mn hc: (nu c)

Gi tn ch i vi cc hot ng:+ Nghe ging l thuyt: 20

+ Lm bi tp trn lp: 10

+ Tho lun: 0

+ Thc hnh, thc tp ( PTN, nh my, studio, in d, thc tp): 0

+ Hot ng theo nhm: 0

+ T hc: 0

a ch Khoa/ b mn ph trch mn hc: 264 i Cn Ba nh H Ni

3. Mc tiu ca mn hc

Kin thc: Tnh hc v ng hc cc h c hc vt rn tuyt i K nng: Lp c m hnh tnh ton lc v xc nh v tr, vn tc, gia tc chuyn

ng ca cc h C hc

Thi , chuyn cn: ln lp y v chun b cho gi ln lp theo yu cu ca giovin.


Trong mn hc " C l thuyt 1" c hai phn l Tnh hc v ng hc.Tnh hc l phn nghin cu trng thi cn bng ca vt rn tuyt i di tc dng

ca cc lc. Hai vn t ra l: thu gn h lc v dng ti gin v thit lp iu kin cnbng ca h lc.

ng hc nghin cu chuyn ng c hc ca vt th v mt hnh hc, khng quantm n nguyn nhn gy ra chuyn ng hoc lm bin i chuyn ng. Hai m hnh c

bn ca vt th c nghin cu l cht im v vt th rn. Kho st ng hc ca vt th ltm cc thng s xc nh v tr theo thi gian, cng nh cc c trng khc ca chuyn ngl vn tc v gia tc ca im, vn tc gc v gia tc gc chuyn ng ca vt rn. Mn hcny lm c s cho ng lc hc ca h nhiu vt v nhiu mn hc khc trong c hc.

5. Ni dung chi tit mn hc:

PHN I: TNH HC VT RN (14 gi ln lp l thuyt v bi tp)

Chng I: Cc khi nim c bn H tin tnh hc (2 gi ln lp l thuyt)

I.1. Cc khi nim c bn:


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Vt rn, cn bng, lc tc dng.

Mt s khi nim m rng: h lc, h tng ng, hp lc ca h lc, h lc cnbng, ngu lc, mmen ca cc lc i vi mt im

I.2. H tin t nh hc

I.3. Cc h qu

I.4. Lin kt v phn lc lin kt

Chng II. H lc phng (5 gi ln lp l thuyt v bi tp)

II.1. nh ngha vect chnh v m men chnh ca h lc phng

II.1.1. Vect chnh ca h lc phng

II.1.2. Mmen chnh ca h lc phng

II.2. Thu gn h lc phng

II.2.1. Thu gn h lc phng v mt tm. nh l di lc song song, thu gn h lc v

mt tm. Kt qu. Nhn xtII.2.2. Cc trng hp xy ra v cc dng chun ca h lc phng. nh l bin thin

mmen chnh khi tm thu gn thay i. nh l Varinhng

II.3. iu kin cn bng v cc dng phng trnh cn bng ca h lc phng

II.3.1. iu kin cn bng

II.3.2. Cc dng phng trnh cn bng

II.4. Phng php gii bi ton ca vt rn v h vt rn cn bng di tc dng ca hlc phng.

II.4.1. Bi ton mt vt rn cn bng di tc dng ca h lc phng

II.4.2. Bi ton cn bng ca h vt rn

II.4.3. Bi ton cn bng vt rn c ma st trt

Chng III. H lc khng gian (6 gi ln lp l thuyt v bi tp)

III.1. nh ngha vect chnh v mmen chnh ca h lc khng gian

III.2. Thu gn h lc khng gian

III.2.1. Thu gn h lc khng gian v mt tm: nh l di lc song song. Thu gnh lc v mt tm

III.2.2. Kt qu thu gn h lc v mt tm: nh l VarinhngIII.3. iu kin cn bng v cc phng trnh cn bng ca h lc khng gian

III.3.1. iu kin cn bng ca h lc khng gian

III.3.2. Cc phng trnh cn bng ca h lc khng gian

III.4. Trng tm vt rn

III.4.1. H lc khng gian song song


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III.4.2. nh ngha trng tm vt rn. Cng thc tng qut xc nh trng tm vtrn. Cng thc tnh trng tm ca mt s vt rn n gin.

PHN II: NG HC (16 gi ln lp l thuyt v bi tp)

Chng IV. ng hc cht im (3 gi ln lp l thuyt v bi tp)

IV.1. Kho st chuyn ng ca cht im bng phng php vect

IV.2. Kho st chuyn ng ca cht im bng phng php to cc

IV.3. Kho st chuyn ng ca cht im bng phng php to t nhin

VI.4. Kho st mt s chuyn ng thng gp: chuyn ng u, chuyn ng bin iu (thng v trn)

Chng V Chuyn ng c bn ca vt rn (5 gi ln lp l thuyt v bi tp)

V.1. Chuyn ng tnh tin ca vt rn: nh ngha, nh lV.2. Chuyn ng ca vt rn quay quanh mt trc c nh

V.2.1. Cc c trng chuyn ng ca vt: thng s nh v (to ca vt), phngtrnh chuyn ng ca vt quay, vn tc gc, gia tc gc. Cc chuyn ngquay c bit: quay u, quay bin i u.

V.2.2. Cc c trng chuyn ng ca im thuc vt: phng trnh chuyn ng, vntc, gia tc. Biu phn b vn tc cc im trn tit din phng thng gcvi trc quay. Vect vn tc gc v gia tc gc.

V.3. Mt s dng truyn ng nh cc chuyn ng c bn

Chng VI Tng hp chuyn ng im (4 gi ln lp l thuyt v bi tp)

VI.1. nh ngha v cc loi chuyn ng

VI.2. nh l v hp vn tc, gia tc

VI.3. nh l v hp gia tc trong trng hp chuyn ng theo l tnh tin

Chng VII - Tng hp chuyn ng ca vt rn (5 gi ln lp l thuyt v bi tp)

VII.1. Tng hp chuyn ng phng

VII.1.1. Trong trng hp chuyn ng theo l tnh tin v chuyn ng tng il quay.

VII.1.2. Cc yu t ng hc ca cc chuyn ng thnh phn

VII.1.3. Cng thc tnh vn tc cc im thuc vt

VII.1.4. Tm vn tc tc thi. Cng thc tnh vn tc cc im theo tm vn tc tcthi

VII.1.5. Trng hp chuyn ng theo l quay v chuyn ng tng i l quay.


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VII.2. Tng hp chuyn ng theo l tnh tin, cc chuyn ng tng i l quay quanhtrc cng phng vi vn tc tnh tin: chuyn ng inh c

VII.2.1. Cc yu t ng hc ca chuyn ng thnh phn

VII.2.2. Cng thc tnh vn tc mt im thuc vt: Qu o inh c.

6. Hc liu

6.1. Hc liu bt buc

1. Sanh, Nguyn Vn nh, Nguyn Vn Khang

C hc. Tp I : Tnh hc v ng hc NXB Gio dc 1999

2. Nguyn Vn Khang C s C hc k thut. Tp I: Tnh hc v ng hc

NXB i hc Quc gia H Ni 2005

3. o Huy Bch, Phm Huyn C hc l thuyt


6.2. Hc liu tham kho

4.Nguyn Nht L, Nguyn Vn nh, Sanh. ch bin: Sanh.

Bi tp C hc, phn Tnh hc v ng hc. NXB Gio dc, H Ni 2003

(Ti bn ln 7)

5. Nguyn Trng, Tng Danh o, L Th Hong Yn. C hc c s.

Tp 1: Phn tnh hc, ng hc. NXB Khoa hc v K thut 1997

7. Hnh thc t chc dy hc7.1. Lch trnh chung

Ni dung


Tng sgi tn ch

Ln lp Thc hnh,th nghim,in d,

T hc, tnghin cuL

thuytBitp

Tholun

Ni dung 1: Chng I Cc khinim c bn H tin tnh hc

2 0 2

Ni dung 2: Chng II H lcphng

3 2 5

Ni dung 3: Chng III H lckhng gian

4 2 6

Ni dung 4 Chng IV nghc cht im

2 1 3


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Ni dung 5: Chng V Chuynng c bn ca vt rn.

3 2 5

Ni dung 6: Chng VI Tnghp chuyn ng im.

3 1 4

Ni dung 7: Chng VII Tnghp chuyn ng ca vt rn.

3 2 5

Cng 20 10 30

7.2. Lch trnh t chc dy hc c th:

Ni dung1. Tun 1

Hnh thc tchc dy hc

Thi gian,a im

Ni dung chnh Yu cu sinh vin chun b

L thuytTheo b trca Phngo to

1.Cc khi nim c bn vvt rn tuyt i, cn bngv lc v cc nh nghakhc

2.H tin tnh hc

3. Lin kt v phn lclin kt

c ti liu [1] t trang 9 ntrang 24.Tr li cc cu hi 1 6trang 96. Tham kho cc tiliu [2,3]

Bi tp nt

Tho lun nt

Thc hnh, thnghim...

nt

T hc, tnghin cu

nt

Ni dung 2 : Tun 2

Hnh thc tchc dy hc

Thi gian, aim



1.H lc phng: Vc tchnh v m men chnh.Thu gn h lc phng.

2. Cc iu kin cn bngca h lc phng

c ti liu [1] t trang 25 ntrang 30. c ti liu [2] ttrang 16 n trang 31

Bi tp nt Trnh by cch gii cc bi Tham kho sch bi tp [4]


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tp trong ti liu [1,2]

Tho lun nt

Thc hnh,th nghim...

nt

T hc, tnghin cu

nt

Ni dung 2. Tun 3

Hnh thc tchc dy hc

Thi gian, aim


L thuytTheo b tr caPhng o to

1. Cc bi ton c bnca tnh hc vt rn

c ti liu [2] t trang 32 ntrang 42. Tham kho cc tiliu [1,3]

Bi tp ntTrnh by cch gii cc

bi tp trong ti liu[1,2]

Tham kho sch bi tp [4]

Tho lun nt

Thc hnh, thnghim...

nt

T hc, tnghin cu

nt

Phn cn li ca ni dung 2 v Ni dung 3: tun 4

Hnh thc tchc dy hc

Thi gian, aim



1. Cn bng vt rn cma st trt.

2. Vc t chnh v mmen chnh ca h lc

khng gian

c ti liu [2] t trang 42 ntrang 47. Tham kho cc ti liu[1,3]

Bi tp nt

Tho lun nt

Thc hnh, thnghim...

nt


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42

T hc, tnghin cu

nt

Ni dung 3: Tun 5

Hnh thc tchc dy hc

Thi gian, aim



1.Thu gn h lckhng gian.

c ti liu [1] t trang 31 ntrang 46. c ti liu [2] t trang48 n trang 57

Bi tp ntTrnh by cch giicc bi tp trong tiliu [1,2]

Tham kho sch bi tp [4]

Tho lun ntThc hnh, thnghim...

nt

T hc, tnghin cu

nt

Ni dung 3 : Tun 6

Hnh thc t

chc dy hc

Thi gian,

a im Ni dung chnh Yu cu sinh vin chun b


1.iu kin cn bng ca hlc khng gian

2.Bi ton n v vt lt

c ti liu [1] t trang 46n trang 68. c ti liu[2] t trang 57 n trang 64

Bi tp ntLm trn lp cc bi tp trongcc trang c trong phn lthuyt ca hai ti liu [1,2]

Ngoi cc bi tp ctrong phn l thuyt, thamkho thm trong ti liu [4]

Tho lun nt

Thc hnh,th nghim...

nt

T hc, tnghin cu

nt


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Phn cn li ca ni dung 3 v Ni dung 4 : Tun 7

Hnh thc tchc dy hc

Thi gian, aim



1.Trng tm vt rn.

2.Ma st.3. ng hc cht im:ho st bng cc ta hc nhau

c ti liu [1] t trang 68 n

trang 113. c ti liu [2] ttrang 65 n trang 88

Bi tp nt

Tho lun nt

Thc hnh, thnghim...

nt

T hc, tnghin cu nt

Ni dung 4: Tun 8

Hnh thc tchc dy hc

Thi gian,a im


L thuytTheo b trca Phng

o to

1.Kho st bng cc ta cc

2.Kho st mt s chuynng c bit ca cht im.

c ti liu [1] t trang 113n trang 120. c ti liu[2] t trang 91 n trang 105



Tho lun nt

Thc hnh,th nghim...

nt

T hc, t

nghin cu nt


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Ni dung 5 : Tun 9

Hnh thc tchc dy hc

Thi gian,a im


L thuyt

Theo b tr

ca Phngo to

1. Chuyn ng c bn ca

vt rn: Chuyn ng tnh tin

c ti liu [1] t trang 114

n trang 121. c ti liu[2] t trang 105 n trang 110



Tho lun nt

Thc hnh,th nghim...

nt

T hc, tnghin cu nt

Ni dung 5: Tun 10

Hnh thc tchc dy hc

Thi gian,a im


L thuytTheo b trca Phng

o to

1.Chuyn ng quay quanhtrc ca vt rn..

c ti liu [1] t trang 124n trang 135. c ti liu[2] t trang 117 n trang

123.



Tho lun nt

Thc hnh,th nghim...

nt

T hc, t

nghin cu

nt

Phn cn li ca ni dung 5 v ni dung 6: Tun 11

Hnh thc tchc dy hc

Thi gian, aim


L thuyt Theo b tr 1.Mt s dng truyn c ti liu [1] t trang 132 n


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45

ca Phngo to

ng nh cc chuynng c bn.

2.nh ngha v ccloi chuyn ng.

trang 136. c ti liu [2] ttrang 123 n trang 126.

Bi tp nt

Tho lun nt

Thc hnh, thnghim...

nt

T hc, tnghin cu

nt

Ni dung 6: Tun 12

Hnh thc tchc dy hc

Thi gian,a im Ni dung chnh Yu cu sinh vin chun b


1.Cc nh l v hp vn tc.

2.Cc nh l v hp gia tc.

c ti liu [1] t trang 138n trang 148. c ti liu [2]t trang 127 n trang 143



Tho lun nt

Thc hnh,th nghim...

nt

T hc, tnghin cu

nt

Ni dung 7 Tun 13

Hnh thc tchc dy hc

Thi gian, aim



1. Khi nim v chuynng tng i, tuyt iv ko theo

2. Tng hp chuyn ngphng


Bi tp nt


46/842

46

Tho lun nt

Thc hnh, thnghim...

nt

T hc, t

nghin cu

nt

Ni dung 8: Tun 14

Hnh thc tchc dy hc

Thi gian,a im



1. ng hc ca vt rn quayquanh mt im c nh.




Tho lun nt

Thc hnh,th nghim...

nt

T hc, tnghin cu

nt

Ni dung 7: Tun 15

Hnh thc tchc dy hc

Thi gian,a im



1.Chuyn ng hp ca vtrn..

c ti liu [3] t trang 129n trang 139. c ti liu[2] t trang 199 n trang213.

Bi tp

nt

Lm trn lp cc bi tp trong

cc trang c trong phn lthuyt ca hai ti liu [2,3]

Ngoi cc bi tp c

trong phn l thuyt, thamkho thm trong ti liu [4]

Tho lun nt

Thc hnh,th nghim...

nt

T hc, t


47/842

47

nghin cu


Yu cu v cch thc nh gi, s hin din trn lp, mc tch cc tham gia cc

hot ng trn lp, cc qui nh v thi hn, cht lng cc bi tp, bi kim tra.Chun b tt cc phn c giao t hc







Mc ch: Nm vng kin thc v Tnh hc v ng hc trong C l thuyt, gii c mts bi tp in hnh.

Cc mc tiu:

Hiu c bn cht v vn dng c trong cc v d v cc bi ton thu gn vcn bng cc h lc phng v cc h lc khng gian.

Vn dng vn cn bng h lc trong vic kho sat trng tm, ma st v phn lclin kt i vi vt rn.

Nm vng ng hc im v tng hp chuyn ng im. Hiu c cc chuyn ng c bn ca vt rn, tng hp cc chuyn ng ca vt

rn trong mt phng v trong khng gian.

Cc k thut nh gi

c phn ti liu hng dn trong tng tun v lm li t nht mt bi tp. Vit vnp li v nhng kin thc thu nhn thm khi c ti liu v bi tp gii li theo thi gian 2tun mt ln.

Kim tra gia k (ht phn tnh hc) v thi cui k ( ht phn ng hc)

T l im cho mi hnh thc KT-G: Bi np theo 2 tun mt ln : 20%; Bi kim tra 30%,

Bi thi cui k : 50%

9.2. Kim tra - nh gi nh k

Bao gm cc phn sau (trng s ca tng phn do ging vin xut, ch nhim bmn thng qua):


48/842

48


1. Tham gia hc tp trn lp (i hc y , chun b bi tt v tch cctho lun, )

10

2. Phn t hc, t nghin cu (hon thnh tt ni dung, nhim v c

giao /tun; bi tp nhm /thng; bi tp c nhn/ hc k, );

10

3. Hot ng theo nhm


5. Thi hc k nh gi cui k 50

6. Cc kim tra khc


1. Bi tp v l thuyt:

Trnh by tt bn cht vn yu cu, c m rng: 10 im Trnh by ng bn cht vn yu cu: 8 9 im Trnh by c vn mc trung bnh: 5 7 im Trnh by cha ng bn cht, ni dung: 1 4 im

2. Bi tp v ng dng:

Lm tt c din gii v p s theo p n: 10 im Vit ng din gii, sai p s: 7 9 im Ch vit c din gii: 6 im Ch bit cng thc, thay s ng: 5 im Lm sai, khng lm c: 1 4 im



1. Vit thu hoch kin thcmi v lm 2 bi tp catun 1 v tun 2

Np vo u gitun th 3


Np vo u gitun th 5


Np vo u gitun th 7


49/842

49

4. Kim tra cc ni dung I, II,III.

Kim tra gia k (50 pht vo gi hc cuitun th 7)

5. Vit thu hoch kin thcmi v lm 3 bi tp catun 7,8 v tun 9.

Np vo u gitun th 10

6. Vit thu hoch kin thcmi v lm 2 bi tp catun 10 v tun 11.

Np vo u gitun th 12

7. Vit thu hoch kin thcmi v lm 2 bi tp catun 12 v tun 13.

Np vo u gitun th 14

8. Vit thu hoch kin thc

mi v lm 2 bi tp catun 14 v tun 15.

9. Thi cui k Theo lchca Trng

10. Thi li Theo lchca trng


50/842


51/842

51

2. Phng trnh vi phn thng

3. Phng trnh o hm ring

4. C hc l thuyt 1

Cc mn hc k tip :

Cc yu cu i vi mn hc: (nu c) Gi tn ch i vi cc hot ng: 30+ Nghe ging l thuyt: 20


+ Tho lun: 0

+ Thc hnh, thc tp ( PTN, nh my, studio, in d, thc tp): 0

+ Hot ng theo nhm: 0

+ T hc: 0

a ch Khoa/ b mn ph trch mn hc: 264 i Cn Ba nh H Ni

3. Mc tiu ca mn hc

Kin thc: ng lc hc v Dao ng tuyn tnh cc h c hc vt rn. K nng : Lp c m hnh tnh ton i vi cc bi ton ng lc hc da trn

cc nguyn l tng qut ca ng lc hc, nguyn l D' Alembert v phng trnhLagrange loi II. p dng vo nghin cu dao ng tuyn tnh ca h mt bc t do,nhiu bc t do.

Thi , chuyn cn: ln lp y v chun b cho gi ln lp theo yu cu cagio vin.


Trong mn hc " C l thuyt 2" c hai phn l ng lc hc v L thuyt Dao ngtuyn tnh.

ng lc hc l phn nghin cu cc quy lut chuyn ng ca vt th di tc dngca lc. ng lc hc thit lp mi quan h c tnh cht quy lut gia 2 loi i lng: Cci lng c trng cho tc dng ca lc v cc i lng c trng cho chuyn ng ca vtth.

Mt trong cc ng dng trc tip ca ng lc hc vo hin tng ph bin trong kthut l L thuyt Dao ng tuyn tnh. Cn nm vng phng php m hnh ha cc h daong, lp c phng trnh chuyn ng, nm c phng php gii tm nghim v

phn tch nh hng ca cc tham s trong h n tnh cht ca dao ng nhm ng dngtrong k thut.

Mn hc ny lm c s cho ng lc hc ca h nhiu vt v nhiu mn hc khctrong c hc.


52/842

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PHN III: NG LC HC (20 gi ln lp l thuyt v bi tp)

Chng VIII - Cc khi nim v cc nh lut ca ng lc hc (3 gi ln lp l thuyt )

VIII.1. Cc khi nim. Cc m hnh: vt im, c h, vt rnLc tc dng: cc loi lc (ni lc v ngoi lc, lc lin kt v lc hot ng, lc tnhv lc ng ...).

Chuyn ng cn bng H qui chiu qun tnh v khng qun tnh

VIII.2. Cc nh lut ca ng lc hc

VIII.3. Hai bi ton c bn ca ng lc hc

VIII.4. H n v c hc

VIII.5. Phng trnh vi phn chuyn ng ca cht im

Chng IX - Cc nh l tng qut ca ng lc (10 gi ln lp l thuyt v bi tp)

IX.1. Cc c trng hnh hc khi ca c h v vt rn

IX.2. nh l ng lng

IX.3. nh l chuyn ng khi tm

IX.4. nh l mmen ng lng

IX.5. nh l ng nng

IX.6. Th nng C nng nh l bo ton c nng

Chng X - Nguyn l alambe (3 gi ln lp l thuyt v bi tp)X.1. Lc qun tnh

X.2. Nguyn l alambe

X.3. Phng php Tnh hnh hc ng lc

Chng XI - Phng trnh Lagrange loi II (4 gi ln lp l thuyt v bi tp)

XI.1 Phng php ta suy rng

XI.2 Phng trnh Lagrange loi II

XI.3 Cc tch phn u

PHN IV: L THUYT DAO NG TUYN TNH (10 gi ln lp l thuyt v bi tp)

Chng XII: Dao ng ca h c hc mt bc t do (4 gi ln lp l thuyt v bi tp)

XII.1. Dao ng t do khng c cn v c cn.

XII.2. Dao ng cng bc di tc dng ca kch ng iu ha

XII.3. Dao ng cng bc di tc dng ca kch ng tng qut.


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Chng XIII: Dao ng ca h c hc nhiu bc t do (6 gi ln lp l thuyt v bi tp)

XIII.1. Thnh lp cc phng trnh vi phn dao ng

XIII.2. Dao ng t do, tn s ring v dng ring.

XIII.3. Dao ng cng bc

XIII.4. Mt vi bi ton p dng

6. Hc liu:

6.1. Hc liu bt buc: Ti thiu l 3 hc liu bt buc

1. Sanh. C hc Tp II: ng lc hc. NXB Gio dc, H Ni, 2003

( Ti bn ln th 7)

2. Nguyn Vn Khang. C s C hc k thut. Tp2: ng lc hc.

Nh Xut bn i hc Quc gia H Ni, 2005.

3. o Huy Bch, Phm Huyn C hc l thuyt


4. Nguyn Vn Khang Dao ng k thut .

NXB Khoa hc v K thut, H Ni 2001

6.2. Ti liu tham kho

5. L Don Hng, Sanh. ch bin: Sanh Bi tp C hc, phn ng lc hc.

NXB Gio dc, H Ni 2003 (Ti bn ln 7)

6. Nguyn Trng, Tng Danh o, L Th Hong Yn. C hc c s.

Tp2: Phn ng lc hc. NXB Khoa hc v K thut 19977. McLean and Nelson. Theory and problems of Engineering Mechanics.

Schaums outline series. McGraw Hill, 1980

8. Nguyn Vn Khang v cc tc gi khc Bi tp Dao ng k thut. NXB Khoa

hc v K thut , 2006

7. Hnh thc t chc dy hc

7.1. Lch trnh chung

Ni dung


Tng sgi tn ch

Ln lp Thc hnh,th nghim,in d,

T hc, tnghin cuL

thuytBitp

Tholun

N dung 1:

Chng VIII Cc khi nim3 0 3


54/842

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v cc nh lut ca ng lchc

Ni dung 2:

Chng IX Cc nh ltng qut ca ng lc hc

6 4 10

Ni dung 3:

Chng X Nguyn lalambe

2 1 3

Ni dung 4 :

Chng XI Phng trnhLagrange loi II

2 2 4

Ni dung 5:

Chng XII: Dao ng cah c hc mt bc t do

3 1 4

Ni dung 6:

Chng XIII: Dao ng cah c hc nhiu bc t do

4 2 6

Cng 20 10 30

7.2. Lch trnh t chc dy hc c th:

Ni dung I. Tun 1

Hnh thc t chc dy hcThi gian,a im

Ni dung chnhYu cu sinh vin

chun b


1.Cc khi nim. Cc mhnh: cht im, c h, vtrn

2. Cc nh lut ca ng lchc

3. Hai bi ton c bn ca

ng lc hc

c ti liu [1] ttrang 3 n trang24. Tham khocc ti liu [3] ttrang 140 n 157

Bi tp nt

Tho lun nt

Thc hnh, th nghim... nt

T hc, t nghin cu nt


55/842

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Phn cn li ca ni dung I v ni dung II : Tun 2



chun b

L thuyt Theo b trca Phngo to

1. Phng trnh vi phn

chuyn ng ca cht im2. Cc c trng hnh hckhi ca c h v vt rn

c ti liu [1] t

trang 10 n trang33. c ti liu[2] t trang 3 ntrang 15.

Bi tp nt

Tho lun nt


T hc, t nghin cu nt

Ni dung II. Tun 3



chun b


1.nh l ng lng c ti liu [1] ttrang 33 n trang40. Tham khocc ti liu [2,3]

Bi tp nt

Trnh by cch gii cc bi

tp trong ti liu [1,2]

Tham kho sch

bi tp [5]

Tho lun nt


T hc, t nghin cu nt

Ni dung II : tun 4

Hnh thc t chc dy hcThi gian,

a im


chun b


1.nh l chuyn ng khitm

c ti liu [1] ttrang 40 n trang44. Tham khocc ti liu [2,3]

Bi tp ntTrnh by cch gii cc bitp trong ti liu [1,2]

Tham kho schbi tp [5]


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Tho lun nt


T hc, t nghin cu nt

Ni dung II : Tun 5



chun b


1. nh l m men nglng.

2.nh l ng nng

c ti liu [1] ttrang 44 n trang67. c ti liu[2] t trang 66n trang 88.

Bi tp nt Trnh by cch gii cc bitp trong ti liu [1,2]

Tham kho schbi tp [5]

Tho lun nt


T hc, t nghin cu nt

Ni dung II : Tun 6

Hnh thc t chc dy hc

Thi gian,

a im Ni dung chnh

Yu cu sinh vin

chun b


1. Trng lc, th nng, nhl bo ton c nng.

2.Khi nim v c h khngt do

c ti liu [1] ttrang 67 n trang86. c ti liu[2] t trang 66n trang 87

Bi tp nt

Lm trn lp cc bi tptrong cc trang c trong

phn l thuyt ca hai ti liu[1,2]

Ngoi cc bi tp c trong phnl thuyt, thamkho thm trongti liu [5]

Tho lun nt


T hc, t nghin cu nt


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Phn cn li ca ni dung II v Ni dung III: Tun 7



chun b


1. Nguyn l di chuyn kh

d.2.Nguyn l D'Alembert ivi cht im v c h.

c ti liu [1] t

trang 87 n trang103. c ti liu[2] t trang 88n trang 103

Bi tp nt

Tho lun nt


T hc, t nghin cu nt

Ni dung IV: Tun 8



chun b


1. Phng php tnh hnhhc ng lc

2. Phng php tnh giitch ng lc

c ti liu [1] ttrang 104 ntrang 126. cti liu [2] ttrang 103 n

trang 109

Bi tp nt




Tho lun nt


T hc, t nghin cu nt

Ni dung IV: Tun 9



chun b

L thuyt Theo b tr 1.Phng php ta suy c ti liu [1] t


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58

ca Phngo to

rng.

2. Phng trnh Lagrangeloi II

trang 127 ntrang 139. cti liu [2] ttrang 112 ntrang 125

Bi tp nt




Tho lun nt


T hc, t nghin cu nt

Ni dung IV: Tun 10



chun b


1.Cc tch phn u.

2.ng lc hc vt rnkhng gian.

c ti liu [1] ttrang 139 ntrang 144. cti liu [2] ttrang 126 n

trang 155.

Bi tp nt




Tho lun nt


T hc, t nghin cu nt

Ni dung V : Tun 11



chun b

L thuyt Theo b tr 1.Dao ng t do khng cn c ti liu [4] t


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59

ca Phngo to

v c cn.

2.Dao ng cng bc ditc ng ca kch ng iuha.

trang 34 n trang82.

Bi tp nt

Tho lun nt


T hc, t nghin cu nt

Ni dung V: Tun 12



chun b


1.Dao ng cng bc ditc ng ca kch ng tngqut

c ti liu [4] ttrang 82 n trang113.

Bi tp nt


phn l thuyt ca hai ti liu[4]


Tho lun nt


T hc, t nghin cu nt

Ni dung VI: Tun 13



chun b


1.Thnh lp cc phng trnhvi phn dao ng. 2. 2.Daong t do tn s ring vdng ring.

c ti liu [4] ttrang 114 ntrang 155.

Bi tp nt


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60

Tho lun nt


T hc, t nghin cu nt

Ni dung VI: Tun 14



chun b


1. Dao ng cng bc cah nhiu bc t do

c ti liu [4] ttrang 155 ntrang 168.

Bi tp nt


phn l thuyt ca ti liu[4]

Ngoi cc bi tp c trong phn

l thuyt, thamkho thm trongti liu [8]

Tho lun nt


T hc, t nghin cu nt

Ni dung VI: Tun 15



chun b


1.Mt vi bi ton p dng. c ti liu [4] ttrang 168 ntrang 190.

Bi tp Lm trn lp cc bi tptrong cc trang c trong

phn l thuyt ca ti liu [4]

Ngoi cc bi tp c trong phnl thuyt, thamkho thm trong

ti liu [8]

Tho lun

Thc hnh, th nghim...

T hc, t nghin cu


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Yu cu v cch thc nh gi, s hin din trn lp, mc tch cc tham gia cchot ng trn lp, cc qui nh v thi hn, cht lng cc bi tp, bi kim tra.








Mc ch: Nm vng kin thc v ng lc hc v Dao ng tuyn tnh C l thuyt 2, gii

c mt s bi tp in hnh.

Cc mc tiu:

1. Hiu c bn cht cc khi nim v ng lc hc, cc nh lut ca ng lc hc.2. Hiu v vn dng cc nh l tng qut ca ng lc hc vo cc v d p dng.3. Nm vng cc nguyn l D'Alembert v Lagrange II v vn dng cho cc bi ton

c hc tng qut.

4. Hiu c bn cht dao ng ca cc h tuyn tnh mt v nhiu bc t do v mt sng dng trong k thut.

Cc k thut nh gi

c phn ti liu hng dn trong tng tun v lm li t nht mt bi tp. Vit vnp li v nhng kin thc thu nhn thm khi c ti liu v bi tp gii li theo thi gian 2tun mt ln.

Kim tra gia k (ht ni dung III ng lc hc) v thi cui k (ht phn Dao ngtuyn tnh)

T l im cho mi hnh thc KT-G: Bi np theo 2 tun mt ln : 20%; Bi kim tra 30%,Bi thi cui k : 50%

9.2. Kim tra - nh gi nh k


1. Tham gia hc tp trn lp (i hc y , chun b bi tt v tchcc tho lun, )

10


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2. Phn t hc, t nghin cu (hon thnh tt ni dung, nhim v cgiao /tun; bi tp nhm /thng; bi tp c nhn/ hc k, );

10

3. Hot ng theo nhm


5. Thi hc k nh gi cui k 50

6. Cc kim tra khc


1. Bi tp v l thuyt:

Trnh by tt bn cht vn yu cu, c m rng: 10 im

Trnh by ng bn cht vn yu cu: 8 9 im

Trnh by c vn mc trung bnh: 5 7 im

Trnh by cha ng bn cht, ni dung: 1 4 im

2. Bi tp v ng dng:

Lm tt c din gii v p s theo p n: 10 im

Vit ng din gii, sai p s: 7 9 im

Ch vit c din gii: 6 im

Ch bit cng thc, thay s ng: 5 im

Lm sai, khng lm c: 1 4 im

9.4. Lch thi, kim tra (k c thi li)STT Ni dung thi, kim tra Lch thi Lch kim tra Ghi ch

1. Vit thu hoch kin thc miv lm 2 bi tp ca tun 1v tun 2

Np vo u gitun th 3


Np vo u gitun th 5


Np vo u gitun th 7


Np vo u gitun th 9

5. Kim tra cc ni dung I, II, Kim tra gia k


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III. (50 pht vo gihc cui tun th9)

6. Vit thu hoch kin thc miv lm 3 bi tp ca tun

9,10 v tun 11.

Np vo u gitun th 12

7. Vit thu hoch kin thc miv lm 2 bi tp ca tun 12v tun 13.

Np vo u gitun th 14

8. Vit thu hoch kin thc miv lm 2 bi tp ca tun 14v tun 15.

9. Thi cui k Theo lch ca

Trng10. Thi li Theo lch ca

trng


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C HC MI TRNG LIN TC

1. Thng tin v ging vin:

H v tn : Dng Ngc HiChc danh, hc hm, hc v: GS.TSKH


i ch lin h: Vin C hc, 264 ph i Cn, Ba nh, H Ni

in thoi: 8329706; 7564538


Cc hng nghin cu chnh: Thu kh cng nghip v mi trng (c hc du kh,mi trng, nhit thu ng l phn ng ht nhn,...).

Nhit thu ng dng chy nhiu pha.

H v tn : Nguyn Vn ip

Chc danh, hc hm, hc v: Gio s, Tin s Khoa hc

i ch lin h: Vin C hc 264 Ph i Cn, ba nh, H Ni

in thoi: 8325540


Cc hng nghin cu chnh: C hc cht lng

Dng chy nhiu pha nhiu thnh phn

Dng chy trong h thng sng h

2.Thng tin chung v mn hc:

Tn mn hc: C hc mi trng lin tc M mn hc: EMA2004 S tn ch: 4 Mn hc: Bt buc:

La chn:

Cc mn hc tin quyt: 1. Ton cao cp2. Vt l i cng

3. Phng trnh o hm thng

4. Phng trnh Ton L (o hm ring)

5. C hc l thuyt

Cc mn hc k tip: C hc cht lng, C hc vt rn bin dng Cc yu cu i vi mn hc: (nu c)


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Gi tn ch i vi cc hot ng:+ Nghe ging l thuyt: 38


+ Tho lun: 6

+

Thc hnh, thc tp ( PTN, nh my, studio, in d, thc tp):+ Hot ng theo nhm: Bi tp ln

+ T hc: 0

a ch Khoa/ b mn ph trch mn hc: B mn Thu tin hc, Khoa C hc kThut v T ng ho, Trng i hc Cng ngh, i hc Quc gia H ni.

phng 309, nh G2, 144 Xun Thu, Cu Giy, H Ni

3. Mc tiu ca mn hc

Kin thc: C hc mi trng lin tc l mt trong cc mn hc c s ca sinhvin ngnh C hc K thut, mn khoa hc nghin cu cc chuyn ng v mca cc mi trng: vt th rn, cht lng, cht kh v cc mi trng c bitkhc. Mn hc trang b cho sinh vin nhng khi nim c bn v ng lc hc cami trng lin tc, cc nh lut chung, cc nh l tng qut v chuyn ng cacc mi trng, cc quy lut ng x chung ca tng mi trng, cng c v

phng php nghin cu trong c hc MTLT.

K nng: Vn dng c cc php tnh tenx, bit cch thit lp bi ton hc mitrng lin tc, nm c phng php chung trong nghin cu v gii quyt biton.

Thi , chuyn cn: ln lp y v chun b cho gi ln lp theo yu cu cagio vin.


C hc mi trng lin tc (MTLT) c vai tr c s trong ngnh c hc. Ngoi giithiu mn hc, ni dung c hc MTLT c 3 phn chnh. ng hc MTLT cung cp cho SVcc kin thc v l thuyt tenx mt cng c quan trng m t v nghin cu MTLT, cc khinim v mt khi lng, vn tc, gia tc, bin dng trong c hc MTLT. Phn ng lchc MTLT hnh thnh h phng trnh c s ca c hc MTLT v phng php ng kn.Trong phn cui cng l cc m hnh thng dng m t s bin dng ca vt rn m

hnh n hi tuyn tnh, m hnh m t chuyn ng ca cht lng, cht kh (cht lng, chtkh l tng, cht lng nht tuyn tnh). Sau khi c kin thc chung v c hc MTLT, sinhvin c th i chuyn su vo tng lnh vc theo la chn nh c hc vt rn bin dng, chc cht lng cht kh, l thuyt do, c hc cng trnh, v.v..


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Tng s gi ln lp bao gm: 38 gi ln lp l thuyt, 16 gi bi tp, 6 gi tho lun, 0 gi thc.

M u: (1 gi ln lp l thuyt/ 2 gi t hc)

CC KHI NIM C BN V MI TRNG LIN TC

Chng 1: (13 gi ln lp l thuyt, 4 gi bi tp/ 2 gi tho lun/ 36gi t hc)

NG LC HC CC MI TRNG LIN TC

1.1. Khi nim v tenx

1.1.1. nh ngha tenx

1.1.2. Cc php tnh i s i vi tenx

1.1.3. Php tnh vi phn i vi tenx

1.2. Phng php biu din chuyn ng ca mi trng lin tc.

1.2.1. Nghin cu chuyn ng theo Lagrange v theo Eurler.

1.2.2. Chuyn v, vn tc, gia tc.

1.2.3. o hm vt cht theo thi gian ca phn t th tch, phn t mt, phn tng.

1.3. Trng thi bin dng.

1.3.1. Bin dng ti ln cn im ca mi trng lin tc.

1.3.2. Tenx bin dng hu hn.

1.3.3. Tenx bin dng nh.1.4. Tenx tc bin dng.

Chng 2: (14 gi ln lp l thuyt, 6 gi bi tp/ 2 gi tho lun/ 42 gi t hc)

NG LC HC MI TRNG LIN TC

2.1. Trng thi ng sut.

2.1.1. Mt khi lng, lc khi, lc mt.

2.1.2. Vect ng sut.

2.1.3. Tenx ng sut.

2.1.4. Tnh i xng ca tenx ng sut.

2.2. nh lut bo ton khi lng.

2.2.1. Pht biu nh lut.

2.2.2. Phng trnh lin tc theo bin Eurler v theo bin Lagrange.

2.3. nh l bin thin ng lng.

2.3.1. Pht biu nh l.


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2.3.2. Phng trnh cn bng v phng trnh chuyn ng ca mi trng lin tc.

2.4. nh l bin thin ca mmen ng lng.

2.5. Bo ton nng lng.

2.5.1. nh lut bo ton nng lng c hc.

2.5.2. nh lut th nht ca nhit ng lc. Phng trnh nng lng.2.5.3. nh lut truyn nhit Fourier.

2.6. Qu trnh thun nghch v khng thun nghch.

2.6.1. Entropy. nh lut th hai ca nhit ng lc.

2.6.2. Tiu chun khng thun nghch. Bt ng thc Clausius.

2.6.3. Hm hao tn.

2.7. H cc phng trnh c bn ca c hc mi trng lin tc.

2.8. Cch t bi ton c hc mi trng lin tc. iu kin bin.

Chng 3 (10 gi ln lp l thuyt, 6 gi bi tp/ 2 gi tho lun/ 34 gi t hc)

MT S M HNH CA MI TRNG LIN TC

3.1. L thuyt n hi tuyn tnh.

3.1.1. nh lut Hooke.

3.1.2. Cch t bi ton ca l thuyt n hi.

3.2. Cht lng v cht kh l tng.

3.2.1. Cht lng l tng nn c, khng nn c, bartrp.

3.2.2. Kh l tng.

3.2.3. Cch t bi ton vi cc m hnh trn.3.3. Cht lng nht Newton.

3.3.1. Cht lng nht Newton.

3.3.2. Cch t bi ton ca cht lng nht Newton.

3.3.3. Cht lng nht phi tuyn.

6. Hc liu

6.1. Cc hc liu chnh

1.

o Huy Bch, Nguyn ng Bch. C hc mi trng lin tc. NXB i hc Qucgia H Ni, 2003. (Th vin quc gia, nh trng).

2. Sedov L.I. C hc mi trng lin tc. Tp 1. NXB H v THCN, 1977. (Th vinquc gia, nh trng).

3. Sedov L.I. C hc mi trng lin tc. Tp 2. NXB H v THCN, 1977. (Th vinquc gia, nh trng).


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4. Phan Nguyn Di. C hc Mi trng lin tc. Cc phng trnh c bn v ng dng.NXB Khoa hc v K thut, H Ni, 2002. (Th vin QG, nh trng).

6.2. Cc hc liu b sung

1. Mase G.E. Theory and problems of continuum mechanics. New York, 1970. (Thvin quc gia, nh trng).

2. Ilyushin A.A. Mechnics of continua. Moscow, 1978.7. Hnh thc t chc dy hc

7.1. Lch trnh chung

Ni dung


TngLn lp Thc hnh,

th nghim,in d,

T hc, t

nghin cuLthuyt Bitp Tholun

Ni dung 1: M u 1 0 0 0 2 3

Ni dung 2: Chng 1 nglc hc cc mi trng lin tc

13 4 2 0 36 55

Ni dung 3: Chng 2 nglc hc ca mi trng lintc

14 6 2 0 42 64

Ni dung 4: Chng 4 Mt sm hnh ca mi trng lin tc 10 6 2 0 34 52

Tng: 38 16 6 0 114 180

7.2. Lch trnh t chc dy hc c th

Ni dung 1+2. Tun 1.

Hnh thc t chc dy hcThi gian, a

imNi dung chnh

Yu cu sinh vinchun b


1. M u: Cc khinim c bn v mitrng lin tc.

2. Khi nim v tenxMc 1.1. nh nghatenx. Mc 1.1.1.

c:Q.2, tr.9 20;

Q.2, tr.31 56.

Q.1, tr.1 25.

Bi tp nt 0


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69

Tho lun nt 0

Thc hnh, th nghim... nt 0

T hc, t nghin cu nt

Ni dung 2. Tun 2.


imNi dung chnh



1. Cc php tnh is i vi tenx. Mc 1.1.2.

2. Php tnh vi phni vi tenx. Mc

1.1.3.

c:

1. Q.1, tr.25 33; Q.2, tr.43 56.

2. Q.1, tr.38 51;Q.2, tr.21 30.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 2. Tun 3.

Hnh thc t chc dy hc

Thi gian, a

im Ni dung chnh

Yu cu sinh vin

chun b


1. Phng php biudin chuyn ng caMTLT. Mc 1.2.

c:

Q.1, tr.53 76.

Q.2, tr.57 87.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 2. Tun 4.


imNi dung chnh


L thuyt Theo b tr ca 1. Trng thi bin c:


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70

Phng o to dng. Mc 1.3.

2. Tenx tc bindng. Mc 1.4.

Q.1, tr.77 80.

Q.2, tr.87 97.

Bi tp nt 0

Tho lun ntThc hnh, th nghim... nt 0

T hc, t nghin cu nt

Ni dung 2. Tun 5.


imNi dung chnh


L thuyt

Theo b tr ca

Phng o to

0

Bi tp nt

1. Cc php tnhtenx.

2. Tenx bin dng.

c:

Q.2, tr.43 56.

Q.1, tr.34 37.

Q.1, tr. 34 37, bi 1.1 1.27 ;tr.72 83, bi 1.1 1.26.

Q.4, tr. 81 85, bi 2.1 2.37 ;tr.115 134, bi2.1 2.26.

Tho lun ntMt s vn nghc cc MTLT.

c:

Q.2, 98 110.


T hc, t nghin cu nt

Ni dung 3. Tun 6.


imNi dung chnh



1. Trng thi ngsut. Mc 2.1.

2. nh lut bo to

c:

1. Q.1, tr.86 104;


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71

khi lng. Mc2.2.

Q.2, 57 86.

2. Q.1, tr.105 106;Q.2, tr.111 118.

Bi tp nt 0

Tho lun nt 0Thc hnh, th nghim... nt 0

T hc, t nghin cu nt

Ni dung 3. Tun 7.


imNi dung chnh



1. nh l bin thin

ng lng. Mc2.3.

2. nh l bin thinmmen ng lng. Mc 2.4.

3. Bo ton nnglng. Mc 2.5.

c:

Q.1, tr.107 116.

Q.2, tr.119 142;tr.173 191.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 3. Tun 8.


imNi dung chnh


L thuytTheo b tr ca

Phng o to

0

Bi tp ntKim tra gia mn. n tp l thuyt,

bi tp.

Tho lun ntng lc hc caMTLT.

c: Q.2, tr.344 365.



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72

T hc, t nghin cu nt

Ni dung 3. Tun 9.


imNi dung chnh

Yu cu sinh vin

chun b


1. Qu trnh thunnghch v khngthun nghch. Mc2.6.

2. H PT c s ca chc MTLT. Mc2.7.

c:

Q.1, tr.117 123.

Q.2, tr.192 274;tr.337 343.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 3. Tun 10.


imNi dung chnh


L thuyt Theo b tr caPhng o to

0

Bi tp nt

Bi tp v ng lchc ca MTLT.

c:

Q.1, tr.81 85.

Q.1, tr.126 130,bi 3.1 3.31.

Q.4, tr.156 168, bi 3.1 3.21;tr.194 203, bi

4.1 4.20; tr.216 226, bi 5.1 5.4.

Tho lun nt 0


T hc, t nghin cu nt


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Ni dung 3+4. Tun 11.


imNi dung chnh



1. Cch t bi ton

c hc MTLT. iukin bin. Mc 2.8.

2. L thuyt n hituyn tnh. Mc 3.1.

c:

1. Q.1, tr.124 125;Q.2, tr.344 351.

2. Q.1, tr.131 139;Q.2, tr.148 159.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 4. Tun 12.


imNi dung chnh



1. Cht lng v chtkh l tng. Mc3.2.

c:

Q.1, tr.143 146.

Q.2, tr.143 147.

Bi tp nt 0

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 4. Tun 13.


imNi dung chnh



1. Cht lng nht. Mc 3.3.

c:Q.1, tr.147 155.

Q.2, tr.148 159.

Bi tp nt 0

Tho lun nt 0



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T hc, t nghin cu nt

Ni dung 4. Tun 14.


imNi dung chnh

Yu cu sinh vin

chun b


0

Bi tp nt

Mt s m hnh caMTLT.

c:

Q.1, tr.173 185.

Q.1, tr.182 190,bi 4.1 4.77.

Q.4, tr.261 280,bi 6.1 6.23.

Tho lun nt 0


T hc, t nghin cu nt

Ni dung 4. Tun 15.


imNi dung chnh


L thuyt Theo b tr caPhng o to

0

Bi tp ntKim tra ht mn. n tp l thuyt,

bi tp.

Tho lun nt

Mt s m hnh caMTLT.

c:

Q.1, tr.140 143.

Q.2, tr.160 172.

Q.3, tr.30 31.


T hc, t nghin cu nt

8. Chnh sch i vi mn hc v cc yu cu khc ca ging vin:

Yu cu v cch thc nh gi, s hin din trn lp, mc tch cc tham gia cc hot ngtrn lp, cc qui nh v thi hn, cht lng cc bi tp, bi kim tra,


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Cc bi tp phi np ng hn, c th lm li nu mun im cao hn.

9. Phng php, hnh thc kim tra nh gi kt qu hc tp mn hc:9.1. Kim tra nh gi thng xuyn

Mc ch: Nm vng kin thc v tenx v cc php tnh tenx, cc khi nim v phngtrnh c bn ca ng lc hc MTLT, mt s m hnh MTLT c th.

Cc mc tiu:

Hiu v nm c khi nim tenx trong h to khc nhau, bit cch thc hincc php tnh thng thng v vi phn.

Nm chc khi nim v cch xy dng nhng phng trnh c bn ca ng lchc MTLT.

C kh nng p dng cc khi nim v phng trnh c bn xy dng mt sm hnh c th ca MTLT nh vt rn n hi tuyn tnh, cht lng v kh ltng, cht lng v kh nht tuyn tnh.

Cc k thut nh gi: Kim tra trn lp.

9.2. Kim tra nh gi nh k

STT Ni dung Trng s(%)

1. Tham gia hc tp trn lp (i hc y , chun b bi tt v tchcc tho lun, )

iu kin cn

2. Phn t hc, t nghin cu (hon thnh tt ni dung, nhim v cgiao /tun; bi tp nhm /thng; bi tp c nhn/ hc k, );

iu kin cn

3. Hot ng theo nhm

4. Kim tra nh gi gia k 40%

5. Kim tra nh gi cui k 60%

6. Cc kim tra khc

9.3. Tiu ch nh gi cc loi bi tpBi tp v nh:

Hon thnh tt: 9 10 im

Hon thnh mc kh: 7 8 im

Hon thnh mc trung bnh: 5 6 im

Khng hon thnh: 1 4 im


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1. Ni dung bi hc tun 1 3 15 pht u ca gihc tun th 4.

2. Ni dung bi hc tun 4 6 15 pht u ca gihc tun th 7

3. Ni dung 1 2 Kim tra giak (tun th 8)

4. Ni dung bi hc tun 9 11 15 pht u ca gihc tun th 12

5. Ni dung bi hc tun 11 13

15 pht u ca gihc tun th 14

6. Ton b ni dung Thi cui k Theo lch chungca trng7. Thi li Theo lch chung

ca trng


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C S D LIU V GIS

1. Thng tin v ging vin 1:

H v tn: Nguyn Th Vit LinChc danh, hc hm, hc v: Tin s


i ch lin h: Vin C hc, 264 i Cn, Ba nh, H Ni

in thoi: 04 7626087


Cc hng nghin cu chnh: ng lc hc bin

C s d liu v GIS

H v tn: L Nh Ng

Chc danh, hc hm, hc v: Thc s


i ch lin h: Vin C hc, 264 i Cn, Ba nh, H Ni

in thoi: 04 7626087


Cc hng nghin cu chnh: Hi dng hc

C s d liu v GIS

2. Thng tin chung v mn hc

Tn mn hc: C s d liu v GIS M mn hc: INT2013 S tn ch: 2 Mn hc: Bt buc:

La chn:

Cc mn hc tin quyt: 1. Ton cao cp (i s tuyn tnh, hnh gii tch)

2. Tin hc c s I, II Cc mn hc k tip : Cc yu cu i vi mn hc: (nu c) Gi tn ch i vi cc hot ng:

Nghe ging l thuyt: 15 Lm bi tp trn lp: 2


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Tho lun: Thc hnh, thc tp ( PTN, nh my, studio, in d, thc tp): 13 Hot ng theo nhm: Bi tp ln T hc:

a ch Khoa/b mn ph trch mn hc: Nh G2, 144 Xun Thy, Cu Giy, H Ni.3. Mc tiu ca mn hc

Kin thc: l thuyt c bn v m hnh c s d liu quan h v h thn

chuong trinh dao tao tin chi - chkt dai hoc cong nghe dhqghn

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