aun sar math vn final

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 BÁO CÁO TỰ  ĐÁNH GIA Khoa Toán – Cơ  – Tin hc, tr ườ ng Đại hc Khoa hc T nhiên i ĐẠI HC QUC GIA HÀ NI TR ƯỜ NG ĐẠI HC KHOA HC TỰ  NHIÊN KHOA TOÁN – CƠ  – TIN HC BÁO CÁO TỰ  ĐÁNH GIÁ ĐẢM BO CHT LƯỢ NG KIM ĐỊNH CHT LƯỢ NG CHƯƠ NG TRÌNH ĐÀO TO CỬ  NHÂN TOÁN HC Hà Ni, tháng 4 năm 2013 

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  • BO CO T NH GIA

    Khoa Ton C Tin hc, trng i hc Khoa hc T nhin i

    I HC QUC GIA H NI TRNG I HC KHOA HC T NHIN

    KHOA TON C TIN HC

    BO CO T NH GI M BO CHT LNG

    KIM NH CHT LNG

    CHNG TRNH O TO

    C NHN TON HC

    H Ni, thng 4 nm 2013

  • BO CO T NH GIA

    Khoa Ton C Tin hc, trng i hc Khoa hc T nhin i

    MC LC

    LI NI U iii DANH MC T VIT TT iv DANH MC HNH NH v DANH MC BNG v Phn 1. GII THIU 1 1.1 Tm tt tng quan 1 1.2 T chc t nh gi 3 1.3 i hc Quc gia H Ni v i hc Khoa hc T nhin 3 1.4 Khoa Ton - C - Tin hc 4 Phn 2. TIU CHUN YU CU AUN-QA 8 Tiu ch 1: Kt qu hc tp d kin 8 Tiu ch 2: Khung chng trnh 12 Tiu ch 3: Cu trc v ni dung chng trnh 16 Tiu ch 4: Chin lc ging dy v hc tp 23 Tiu ch 5: nh gi sinh vin 25 Tiu ch 6: Cht lng i ng ging vin 30 Tiu ch 7: Cht lng i ng cn b h tr 38 Tiu ch 8: Cht lng sinh vin 40 Tiu ch 9: T vn v h tr sinh vin 42 Tiu ch 10: Trang thit b v c s h tng 45 Tiu ch 11: m bo cht lng qu trnh ging dy v hc tp 48 Tiu ch 12. Hot ng pht trin i ng cn b 51 Tiu ch 13: Phn hi ca cc bn lin quan 52

    Tiu ch 14: u ra 53 Tiu ch 15: S hi lng ca cc bn lin quan 56 Phn 3. PHN TCH U NHC IM 59 3.1 Cc u im 57 3.2 Cc nhc im 58 3.3 K hoch ci thin 59 3.2 Danh mc t nh gi theo tiu chun AUN-QA cp chng trnh 60 PH LC 68

  • BO CO T NH GIA

    Khoa Ton C Tin hc, trng i hc Khoa hc T nhin i

    Li ni u

    Khoa Ton - C - Tin hc, trng i hc Khoa hc T nhin, i hc Quc gia H Ni c 57 nm truyn thng trong o to ngnh ton hc. Khoa l ni u tin trong c nc a ra cc chng trnh do to C nhn, Thc s, v Tin s v Ton hc. T nm 1956, chng ti o to hn 3000 C nhn Ton hc, 1000 Thc s Ton hc, v 120 Tin s Ton hc. Nhiu ngi trong s h tr thnh cc gio s v cc nh nghin cu hng u ti Vit Nam. Mt vi trong s h cng thnh cng tm quc t v tr thnh chuyn gia trong lnh vc ca mnh.

    Gn y, c khch l bi thnh cng ln ca Ng Bo Chu, nh Ton hc ngi Vit Nam u tin c gii thng Fields, Chnh ph Vit Nam ph duyt chng trnh trng im quc gia pht trin Ton hc Vit Nam n nm 2020. Cc khoa Ton cc trng i hc trong c nc bao gm c Khoa chng ti ang ng vai tr quan trng trong chng trnh y th thch ny. Do Ton hc l mt trong nhng mn hc quan trng, mang tnh nn tng ca khoa hc nn cht lng ca sinh vin tt nghip l rt quan trng trong s pht trin ca khoa hc, cng nghip v nn kinh t ca t nc. V th chng ti sn sng tham gia vo chng trnh kim nh v nh gi cht lng cp chng trnh theo b tiu chun ca mng li cc trng i hc ng Nam (AUN). Chng ti nhn thy rng t nh gi l mt qu trnh c h thng, thu thp v phn tch thng tin quan trng c v s lng v cht lng nh gi cht lng o to ca Khoa ca chng ti mt cch khch quan. Chng ti hy vng rng vic nh gi cht lng cp chng trnh gip ch trong vic ci thin cht lng dy v hc, ph hp vi tiu chun quc t. Hn na, nh gi ny l mt bc quan trng trong qu trnh nng cao cht lng o to, s cung cp nhng cn c c gi tr cho ging vin cng nh cho nh trng c k hoch ci thin cht lng hn na, p ng xu hng hi nhp quc t.

    Bo co ny khng th c hon thnh nu khng c s h tr v khuyn khch t Ban Gim c ca i hc Quc gia H Ni, Ban Gim hiu i hc Khoa hc T nhin, Vin Kim nh v m bo cht lng - HQGHN, v Phng Thanh tra v m bo cht lng ca i hc Khoa hc T nhin. Chng ti mun cm n tt c nhng ngi gip chng ti trong qu trnh chun b bo co ny. Chng ti cng cm n tt c cc cn b ging vin, gio s thnh ging v sinh vin ca Khoa Ton - C - Tin hc, nhng ngi gp phn cho s thnh cng ca chng trnh i hc v sau i hc ngnh Ton hc, cng nh cc cn b trong t cng tc tham gia vit bn bo co ny.

    H Ni, thng 4 nm 2013 PGS. TS. V Hong Linh Ch nhim khoa Ton C Tin hc

    Trng i hc Khoa hc T nhin, i hc Quc gia H Ni

  • BO CO T NH GIA

    Khoa Ton C Tin hc, trng i hc Khoa hc T nhin i

    Danh mc t vit tt STT T vit tt y

    1. AUN-QA ASEAN University Network Quality Assurance: Chun kim nh cht lng dnh cho h thng cc trng i hc thuc khi ASEAN

    2. B.A. Bachelor of Arts: C nhn (khoa hc x hi v nhn vn) 3. B.Sc Bachelor of Sciences: C nhn khoa hc (t nhin) 4. CSS Center for Student Services: Trung tm h tr sinh vin 5. C.U Credit unit: n v tn ch 6. Dr Doctor: Tin s

    7. MIM Faculty of Mathematics, Mechanics, and Informatics: Khoa Ton C Tin hc 8. GPA Grade Point Average: im trung bnh 9. M.A. Master of Arts: Thc s (x hi v nhn vn) 10. M.Sc Master of Sciences: Thc s khoa hc 11. PhD. Doctor of Philosophy: Tin s 12. SAR Self-Assessment Report: Bo co t nh gi 13. UGRAD Undergraduate: h i hc

    14. UW University of Washington, Seattle: i hc Washington, Seattle

    15. VNU Vietnam National University, Hanoi: i hc Quc gia H Ni

    16. VNU-HUS Vietnam National University, Hanoi- University of Science: Trng i hc Khoa hc T nhin, HQG HN 17. US United States: Hoa K 18. USA United States of America: Hoa K

  • BO CO T NH GIA

    Khoa Ton C Tin hc, trng i hc Khoa hc T nhin v

    Danh mc hnh

    Hnh 1 Cc khi kin thc ca chng trnh

    Hnh 2 Phn b mn hc theo t l tn ch

    Danh mc bng

    Bng 1 Danh sch mn hc v kt qu mong i

    Bng 2 Phn b s tn ch

    Bng 3 Ma trn u ra ca chng trnh

    Bng 4 Cc mun ca chng trnh

    Bng 5 Kt qu tuyn sinh 5 nm gn y

    Bng 6 S lng ging vin

    Bng 7 T l ging vin/sinh vin v ging vin/sinh vin tt nghip

    Bng 8 Khi lng cng vic ca cn b ging vin

    Bng 9 i ng cn b th vin

    Bng 10 S lng sinh vin nm th nht

    Bng 11 Tng s sinh vin (trong 5 nm hc gn y)

    Bng 12 T l sinh vin tt nghip

    Bng 13 T l sinh vin t yu cu/trt

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 11

    CHNG 1 GII THIU

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 22

    1.1 Tm tt bn bo co t nh gi (SAR)

    Bn bo co t nh gi ny l mt phn ca quy trnh kim nh v m bo cht lng cho chng trnh c nhn ngnh Ton hc ti khoa Ton C Tin hc, trng i hc Khoa hc T nhin, i hc quc gia H Ni. Bo co bao gm bn phn chnh. Phn th nht trnh by tng quan v bn t nh gi v m t ngn gn v trng i hc Khoa hc T nhin, i hc Quc gia H Ni ni chung v khoa Ton C Tin hc ni ring. Phn th hai phn tch v gii thch chi tit cch thc nh gi chng trnh s dng cc tiu ch ca AUN - QA. Cui cng, phn th ba s ch ra ton b cc u im cng nh nhc im nhm ci thin chng trnh trong hc k tip sau. Phn cn li lit k ton b cc minh chng v ti liu tham kho. Bo co ny c vit theo hng dn nh gi cht lng cp chng trnh cng b bi Ban th k AUN thng 6 nm 2011 (Phin bn 2.0). Bo co c km theo minh chng ca 15 tiu ch. Cc minh chng (Attachments) c nh s th t bi ba s c hai ch s cch nhau bng mt du chm. Cc s u tin l s th t ca tiu ch, s th hai l s th t ca tiu mc trong tiu ch v s th ba l s th t ca minh chng c s dng trong mi tiu mc ca tiu ch. Bo co bt u vi m t v i hc Quc gia H Ni v trng i hc thnh vin, trng i hc Khoa hc T nhin, v nhng hot ng chnh ca khoa Ton C Tin hc, ni m chng trnh c nhn ngnh Ton hc thc hin c hn 50 nm qua. Chng trnh hin hnh c thc hin vi mc tiu o to cc c nhn ton hc (i) vi hiu bit su, rng v cc kin thc ct li trong ton hc l thuyt cng nh ton ng dng; (ii) thnh tho vic phn tch v gii quyt cc vn ton hc; (iii) c kh nng xy dng cc m hnh ton hc v s dng my tnh trong qu trnh gii quyt vn ; (iv) c k nng giao tip tt, c o c ngh nghip. Chng trnh ny hng n mc tiu o to cc nh ton hc c trnh cao cho cc trng i hc, cc vin nghin cu v cc cng ty cng nghip, cng ty ti chnh c nhu cu v nhn s hiu bit ton hc. y l lc chng ti nh gi li chng trnh nhm ci thin cht lng dy v hc ti khoa chng ti. Nhng tiu ch cho chng trnh ny c lit k di y:

    a) Chng trnh c nhn ngnh Ton hc l sn phm tr tu ca tt c cc thnh vin trong khoa v phn nh yu cu ca cc bn lin quan. Phin bn hin ti s dng h thng tn ch thay cho nin ch c bt u p dng t nm hc 2006-2007, sau c sa i v cp nht vo nm 2012. N c so snh vi nhng chng trnh o to ton hc hin hnh ca rt nhiu trng i hc tin tin trn th gii. C hai chng trnh c bit l chng trnh C nhn Khoa hc Ti nng ngnh Ton hc (t nm hc 1997-1998) v chng trnh tin tin (quc t) ngnh Ton hc (t nm hc 2008-2009). Chng trnh ny r rng cho thy kt qu u ra bao gm cc kin thc c bn chung v chuyn ngnh, k nng v nng lc ca ngi c o to. N cng nhn mnh cc nguyn tc gio dc hin i, bao gm c kin thc c s v cc k nng c bit gip sinh vin c kh nng v s nhn nhn ng v vic hc tp, nghin cu khoa hc sut i v sng to. Cc c im v m t cu trc chi tit ca chng trnh ch ra cch thc t c nhng kt qu . Hn na, n c thit k hiu qu cho cc bn lin quan c th qun l qu trnh hc tp mt cch d dng v c th c chuyn giao gia cc trng i hc.

    b) Chng trnh ging dy phn nh r rng tm nhn v s mnh ca i hc Quc gia H Ni l tr thnh mt i hc nghin cu tin tin ng gp cho x hi Vit Nam v cho s h tr, pht trin ca cng ng thng qua vic cung cp cc sn phm o to v nghin cu cht lng cao. Mi mn hc u gp phn vo kt qu chng trnh v tt c to nn mt ma trn k nng c c b rng v b su kin thc.

    c) Chin lc ch ng trong vic dy v hc c ng dng trong chng trnh, vi trit l

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 33

    cn bn ng no trong hc tp v hc qua gii quyt vn trc tip, khuyn khch sinh vin tng tc vi nhau v vi ging vin tip thu v ng dng cc kin thc, cng nh pht trin cc k nng trao i truyn t. Cc hot ng dy v hc to nn mt mi trng hc tp t do cho sinh vin.

    d) Sinh vin c nh gi t u vo ti u ra bng cc tiu ch nh gi. Tt c cc phng php nh gi u ph hp vi mc tiu v kt qu ca chng trnh, v vic nh gi qu trnh hc tp. Mt lot cc phng php c ng dng. Cc quy nh v tiu ch c i vi i ng ging vin, sinh vin v cn b hnh chnh.

    e) Tt c cc cn b ging dy u c tuyn dng cng khai v minh bch da trn tiu ch chuyn mn: vic m bo kh nng va nghin cu tt va ging dy tt ti trng i hc Khoa hc T nhin. Cc cn b ging vin hin ti u p ng yu cu ca trng v cho thy hiu sut lm vic cao. Chng trnh c thc hin bi i ng ging vin c hu v cc gio s thnh ging t Hoa K, Php, Nht. Cc ging vin u ang lm tt cng vic ca mnh, tt c u xc nh r s nghip, c ng lc bi vic phn cng vic hp l, chin lc tuyn dng, v hi lng vi chnh sch i ng: nh gi khen thng, thng chc, ti b nhim, cho thi vic v hu tr i hc Quc gia H Ni.

    f) i hc Quc gia H Ni, trng i hc Khoa hc T nhin, v khoa Ton - C - Tin hc ln k hoch pht trin i ng cn b ging dy trnh cao cho giai on ca 2010 - 2020. Mt s hot ng o to nh chng trnh trao i cn b, t chc hi tho, hi ngh quc t, cc hot ng nghin cu, o to sau i hc v cp hc bng c thc hin nng cao cht lng ging vin v cn b nghin cu. Hn hai mi ging vin tham gia trong cc chng trnh trao i ging vin gia Khoa Ton-C-Tin hc, trng i hc KHTN H Ni v ba Khoa Ton, Ton ng dng, Thng k ca i hc Washington (Seattle, Hoa K) t nm 2008. Khoa c mt i ng ging vin c trnh nng lc trong ging dy v nghin cu.

    g) Chng trnh c i ng cn b h tr c o to bi bn phc v cho cng tc cung cp dch v trong th vin, cc phng my tnh, Trung tm H tr sinh vin, Phng Chnh tr v Cng tc sinh vin. H rt chuyn nghip v sn sng h tr ging vin v sinh vin.

    h) Khoa Ton - C - Tin hc ang n lc ht mnh nhm duy tr v ci tin cht lng sinh vin ca mnh. Qui ch v cng tc sinh vin c xy dng r rng v p ng cho mi tnh hung. Sinh vin c trng tuyn vo chng trnh da trn thnh tch hc tp (kt qu hc tp trung hc ph thng, kt qu k thi tuyn sinh i hc, kt qu kim tra b sung c t chc bi trng i hc Khoa hc T nhin). H thng chm im tn ch c p dng gip sinh vin d dng theo di qu trnh hc tp ca h.

    i) Mt h thng h tr c xy dng theo di s tin b ca sinh vin v cung cp cho h li khuyn hu ch, hng nghip, h tr v phn hi v vic hc ca mnh, tt c nhng iu to ra mi trng hc tp lnh mnh cho sinh vin. Trang thit b, my tnh v thit b th nghim v c s h tng ni chung l y .

    j) Qu trnh ging dy v hc tp c m bo cht lng. Chng trnh o to ngnh Ton hc p ng y cc quy nh bo m cht lng o to ca HQGHN. Ging vin c trch nhim thit k v thc hin cc chng trnh ging dy, v iu chnh p ng mc ch v mc tiu ca chng trnh da trn nhng phn hi ca cc bn lin

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 44

    quan. T nm 2008, mt s nh gi ging vin v cn b gp phn vo vic bo m cht lng.

    k) Chng trnh nhn c nhng phn hi c tnh xy dng t cc bn lin quan bao gm c sinh vin, cu sinh vin, cn b ging dy v cc nh tuyn dng. Thng tin phn hi ca h cho thy cc kt qu nh gi cao ca chng trnh, c phn nh bi danh ting, uy tn v v th ca i hc Quc gia H Ni ni chung v ca trng i hc Khoa hc T nhin ni ring trong x hi.

    l) Chng trnh ng mt vai tr quan trng trong h thng gio dc ca trng i hc Khoa hc T nhin, i hc Quc gia H Ni. kin t cc sinh vin tt nghip v cc giarng vin thnh ging u cho thy s hi lng i vi chng trnh.

    1.2 T chc t nh gi

    Thng 8 nm 2012, i hc Quc gia H Ni v trng i hc Khoa hc T nhin chn Khoa Ton C Tin hc [Attachment 00.01.01]. cho vic kim nh cp chng trnh ca AUN v bt u vic t nh gi ca Chng trnh C nhn ngnh Ton hc theo tiu chun AUN-QA. Trng i hc Khoa hc T nhin v Khoa Ton C Tin hc chun b mt k hoch chi tit cho qu trnh nh gi AUN-QA [Attachment 00.01.04]. Vo thng 8 nm 2012, Gim c i hc Quc gia H Ni ph duyt k hoch t nh gi chng trnh C nhn Ton hc bng cch s dng tiu chun AUN-QA. Thng 10 nm 2012, Hiu trng Trng i hc Khoa hc khoa hc T nhin k quyt nh v vic thnh lp Hi ng T nh gi [Attachment 00.01.03]. Cng trong thng ny, Ch nhim Khoa Ton C Tin hc c mt t cng tc thc hin vic vit bo co t nh gi chng trnh theo AUN [Attachment 00.01.04]. Cng trong thng 10 nm 2012, Hi ng T nh gi lp k hoch chi tit, chun b kinh ph, v nghin cu Hng dn AUN-QA v mu bo co t nh gi ca cc chng trnh c kim nh thnh cng khc ca i hc Quc gia H Ni. Tp hun v quy trnh t nh gi AUN-QA c t chc cho tt c cc thnh vin Hi ng v Tiu ban t nh gi AUN. Mt hi tho v cc hng dn v tiu chun ca AUN-QA cng c t chc cho tt c cc cn b trong khoa. T thng Mi nm 2012 n thng Ba nm 2013, vi s gip ca tt c cc cn b ging vin, Ban Gim hiu trng i hc Khoa hc T nhin v cc phng ban, t cng tc AUN thu thp tt c cc ti liu c lin quan cho bo co nh phiu phn hi, c s d liu, cc vn bng qui nh, qui ch, v cc minh chng, v..v, v vit bo co. Qu trnh t nh gi ko di khong 6 thng. Bn bo co c gi n tt c cc bn lin quan trc khi trnh Ban Th k AUN-QA. Cn lu l t nh gi chng trnh o to c nhn ngnh Ton hc theo tiu chun quc gia c thc hin thnh cng nm 2005 [Attachment 00.01.05]. K t chng trnh c nhiu ci tin ng k.

    1.3 M t tm tt v i hc Quc gia H Ni (VNU) v i hc Khoa hc T nhin (VNU-HUS)

    i hc Quc gia H Ni (VNU) l i hc hin i u tin c thnh lp v l mt trong hai i hc quc gia ti Vit Nam. i hc Quc gia H Ni tri qua nhiu giai on pht trin khc nhau: i hc ng Dng c thnh lp ngy 16 thng nm nm 1906, i hc Quc gia Vit Nam (nm 1945), i hc Tng hp H Ni (thng su, 1956). Trong thng 12 nm 1993, i hc Quc gia H Ni c t chc li trn c s ca trng i hc Tng hp H Ni, i hc s phm H Ni v i hc S phm Ngoi ng. Ngy nay, i hc Quc gia H Ni l trung tm gio dc i hc ton din v trung tm nghin cu ln nht ti Vit Nam. i hc Quc gia H Ni c Chnh ph giao nhim v o to

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 55

    ngun nhn lc v bi dng ti nng c trnh cao cho s nghip cng nghip ho, hin i ho t nc. i hc Quc gia H Ni gi mt v tr c bit trong h thng gio dc bc cao ca Vit Nam, hot ng theo mt quy trnh c bit do Th tng Chnh ph ban hnh. i hc Quc gia H Ni bo co trc tip Th tng Chnh ph v c quyn t ch trong vic t chc nhn s, chng trnh o to, nghin cu khoa hc v pht trin cng ngh, lp k hoch v ti chnh, quan h quc t v cc lnh vc khc. Trng i hc Khoa hc T nhin, i hc Quc gia H Ni l mt thnh vin ca i hc Quc gia H Ni. Trng i hc Khoa hc T nhin, i hc Quc gia H Ni m bo s k tha v pht huy truyn thng hn 55 nm ca trng i hc Tng hp H Ni, ni o to ra nhiu nh khoa hc ti nng v xut sc ca Vit Nam. Hin nay, ti trng i hc Khoa hc T nhin-i hc Quc gia H Ni c 8 khoa v cc phng ban, mt s vin nghin cu v trung tm nghin cu v pht trin, hn 100 phng th nghim, trong s nhiu ni t tiu chun quc t. H thng nhn s trng HKHTN bao gm 650 thnh vin; trong c 408 ging vin, 18 gio s, 110 ph gio s, 279 tin s v 100 thc s. S mnh v tm nhn Qu trnh lp k hoch chin lc ca Trng i hc Khoa hc T nhin-i hc Quc gia H Ni nhm to ra v ph bin cho cng ng cc trng i hc mc tiu phn nh s mnh, tm nhn v cc gi tr ct li ca Trng. K hoch chin lc cung cp cc mc tiu r rng v cc kt qu c th o lng nhm nh hng qu trnh quyt nh v quyt nh s thnh cng ca trng i hc trong vic p ng cc mc tiu ca mnh. S mnh: S mnh ca Trng i hc Khoa hc T nhin, i hc Quc gia H Ni l thc y hc tp v kin thc bng cch lin kt l thuyt v thc hnh trong tt c cc ngnh, v chun b sinh vin cho hc tp sut i, lnh o v ngh nghip trong mt th gii a vn ha ang thay i tng ngy tng gi. Tm nhn: Trng i hc Khoa hc T nhin-i hc Quc gia H Ni c cng nhn n v i u trong o to v nghin cu khoa hc, ni vic hc i i vi hnh l nn tng ca mt kinh nghim gio dc trn din rng. Sinh vin tt nghip c nh gi cao bi s am hiu ca h v l thuyt, kh nng t duy mt cch sc bn v kh nng p dng kin thc vo i sng thc t. HKHTN-VNU cng lin tc thay i, thng qua ging dy, hc tp v hc bng lin tc p ng nhu cu ca mt nn vn ha a dng v mt nn kinh t nng ng. VNU- HUS s l mt m hnh ca mt trng i hc trung tm trong cc kha cnh khoa hc t nhin. Nhim v ca trng s c bt ngun t cc gi tr ct li sau y: Bn sc khoa hc t nhin: Nhn thc c vai tr quan trng ca mnh trong gio dc i hc, chng ti rt t ho v bn sc khoa hc ca mnh. Trng H KHTN chu trch nhim trc cc n v thnh vin trong vic m bo vic ging dy cht lng cao trong cc chng trnh c bit ca ring trng. Cht lng o to: Chng ti cam kt s cht ch, nht qun v hc thut, xut sc trong ging dy, hc tp v hc vn ca chng ti. H thng gio dc ca trng HKHTN o to cc tn sinh vin thnh cc cu sinh vin thnh t. Hc bng thc hnh: Chng ti to ra s khc bit bi cc hot ng ca chng ti, cc phng php tip cn bng thc hnh hc tp, c trong v ngoi lp hc. Gio vin - hc gi: Chng ti cam kt o to v h tr cc ging vin kim hc gi. S pht trin ca cc trang thit b cho php ging vin cng tc vi cc sinh vin to ra kin thc v pht trin cc gii php thc t. Bo v mi trng: Chng ti nhn r trch nhim i vi cng ng ton cu v coi trng vic p dng cc bin php bo v mi trng trong lp hc v trong phm vi trng i hc ca chng ti.

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 66

    1.4 M t tm tt v khoa Ton, VNU-HUS

    Khoa Ton - C - Tin hc c thnh lp vo nm 1956 ti i hc Tng hp H Ni. l khoa Ton u tin trong c nc o to cc nh ton hc. Lun n tin s u tin v cc lun n tin s khoa hc u tin trong nc c bo v ti khoa. Trong sut qu trnh pht trin ca mnh, Khoa Ton - C - Tin hc t c nhng thnh tu quan trng nh: 9 Hun chng Lao ng hng Nht (nm 2009), Nh (2002), Ba (1995). 9 C thi ua ca Th tng cho cho cc trng i hc cao ng nm 2006. 9 Bt u chng trnh C nhn Khoa hc Ti nng ngnh Ton hc vo nm 1997 v

    chng trnh Tin Tin ngnh Ton hc vo nm 2008.

    9 Ghi nh hp tc vi Khoa Ton hc, Ton ng dng, v Thng k, i hc Washington (Seattle, Hoa K).

    9 Hp tc nghin cu v o to chuyn su vi cc trng i hc v vin nghin cu quc t.

    9 Nhiu ging vin ca Khoa c mi thnh ging v nghin cu ti cc trng i hc v vin nghin cu cc nc pht trin. Mt s c cp hc bng nghin cu ca cc Qu v t chc c uy tn nh Fulbright, VEF (M), JSPS (Nht Bn), Humboldt (c).

    9 Cc ging vin cng b 45-50 cng trnh nghin cu trn cc tp ch quc t mi nm (ng u cc khoa trong trng HKHTN, HQGHN cng nh ng u cc khoa Ton cc trng i hc Vit Nam). Mt s cng trnh xut hin trn cc tp ch ton hc c uy tn cao nh Advances in Mathematics, AMS Transactions, Mathematische Annalen, Journal of Differential Equations, SIAM Journal of Numerical Analysis, vv.

    Hin nay, Khoa c 80 cn b (74 ging vin v 6 cn b hnh chnh). C 4 chng trnh o to i hc v 9 chng trnh o to sau i hc. Khoa pht trin quan h i tc vi nhiu trng, vin nc ngoi, bao gm i hc Washington, i hc Wayne (Hoa K), i hc K thut Berlin (c), ICTP (Italy), i hc Paris 6 v Paris 13 (Php), i hc Osaka, JAIST (Nht Bn), i hc Quc gia Singapore, i hc k thut Nanyang (Singapore), vv Khoa t chc nhiu hi tho quc t, v lm nh ng t chc ca nhiu hi ngh quc t. Sinh vin tt nghip ca khoa c nh gi cao. Nhiu sinh vin tt nghip nhn c hc bng tip tc hc tp nc ngoi v sau tr thnh ging vin, nh nghin cu ti cc trng i hc v vin nghin cu Vit Nam v cc nc pht trin. Khoa Ton - C - Tin hc c cc i tc Vit Nam v quc t cng nhn l mt trong nhng t chc gio dc cht lng cao v c uy tn nghin cu khoa hc. S mnh: S mnh ca Khoa Ton - C - Tin hc ti trng i hc Khoa hc T nhin-i hc Quc gia H Ni l (i) cung cp cho sinh vin nn tng ton hc l thuyt v ton ng dng chc chn, k nng giao tip ni v vit, (ii) cung cp cc c hi nghin cu cho cc sinh vin bn ngoi lp hc thc y nghin cu v pht hin mi mang li ngun lc ti chnh v sc sng cho trng, (iii) thm nhun mt nn tng k nng nhn thc cn thit c th nghin cu

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 77

    sut i v pht trin tr tu, v (iv) gip sinh vin chun b m nhn v tr lnh o trong cuc sng c nhn v s nghip ca h.

    Tm nhn, mc tiu v chnh sch cht lng: Khoa Ton-C-Tin hc t mc tiu n nm 2020 c 100-120 cn b ging dy (100% l Tin s v 30% l Gio s v Ph Gio s). S lng sinh vin, hc vin sau i hc l 1000 (50% l hc vin sau i hc). Chng ti t mc tiu l khuyn khch hot ng nghin cu trong gm c nhng d n nghin cu khoa hc quc t, t chc cc hi ngh v hi tho quc t v tng s lng bi bo quc t ISI ln gp i (80-100 bi/nm) vo nm 2020.

    Ban Ch nhim Khoa: PGS.TS. V Hong Linh, cc Ph ch nhim khoa: PGS. TS. V Long (ph trch o to i hc); PGS. TS. L Minh H (ph trch cng tc Nghin cu v Quan h Quc t), TS. Nguyn Th Minh Huyn (ph trch o to Sau i hc). B mn: Ton hc tnh ton v Ton ng dng, i s - Hnh hc T p, Gii tch, C hc, Xc sut - Thng k, Ton Sinh thi Mi trng, v Tin hc. Mt s hng nghin cu chnh: Ton hc tnh ton v Ton ng dng, T p i s, Phng trnh vi phn, H ng lc, C hc vt th rn, C hc tnh ton, Gii tch ngu nhin, Thut ton cho mng, X l ngn ng t nhin, Hc my, Tnh ton hiu nng cao.

  • BO CO T NH GIA

    `Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 88

    CHNG 2 CC TIU CH AUN

  • TIU CHUN 1: KT QU HC TP MONG I Ton hc va l mt ngnh khoa hc va l mt ngh thut. Nhng khc vi cc mn ngh thut khc, Ton hc cn l mt cng c v cng hiu qu mt t th gii t nhin (theo Norbert Wiener). Thng qua ngn ng v nhng kt qu ca mnh, Ton hc thc s ng vai tr nn mng cho khoa hc hin i, Mt s kt qu ton hc thot u c c pht trin nhm gii quyt nhng vn ni sinh ca ton hc v mi v sau mi c ng dng trong cc lnh vc khc; nhiu kt qu khc li ny sinh t nhng yu cu ca cc lnh vc khc. Cc ngnh khoa hc hin i ngy nay, t cc khoa hc x hi n y hc, t vin thng n sinh hc, u chu nh hng cng nh s dng l thuyt v cc k thut ca ton hc trong s pht trin ca mnh. Do i hi ca lc lng lao ng, ca ngi hc cng nh ca nn kinh t, mt chng trnh mnh, hin i v cc ngnh ton hc ni chung, v v cc ngnh tnh ton khoa hc, thng k, ton trong sinh hc v ton ti chnh ni ring, phi l mt mi u tin hng u vi mt trng i hc hng-nghin-cu nh HUS. Trong mt nghin cu da trn cng trnh nghin cu cng b nm 1998 do Hip hi Ton hc Cng nghip v Ton ng dng (SIAM) t hng, sinh vin tt nghip ngnh ton c o to tt v nhiu mt quan trng cho nhng cng vic phi hc thut (nh): + Kh nng suy lun phn tch. + Kh nng x l nhng vn phc tp: khi nim ha, pht trin m hnh, v + Kh nng t v gii quyt vn . Trong bi bo v cng quan trng c ta Gio dc cho th k 21 ca UNESCO, bn tr ct ca gio dc gm hc bit, hc lm vic, hc chung sng v hc t khng nh mnh c xc nh l nhng yu t then cht ca gio dc th k 21, trong mt nn kinh t tri thc. Da trn cc pht hin v khuyn ngh ni trn, trng HKHTN H Ni v Khoa Ton C Tin hc coi gio dc khng ch l mt phng tin pht trin c nhn m cn l mt con ng ci tin x hi. iu ny c phn nh r trong vic thit k chng trnh o to c nhn khoa Ton C Tin hc v thit k kt qu u ra mong i. i vi sinh vin ngnh ton VNU-HUS, kt qu hc tp mong i c ghi r trong chng trnh o to c cng b cng khai trn trang web chnh thc ca VNU-HUS. Mt tp hp cc kha hc bt buc v t chn c tch hp trong chng trnh o to nhm gip sinh vin pht trin cc k nng tru tng ha, phn tch cu trc c bn v t duy logic; ng thi thng tho cc cng c tt nht pht biu v gii quyt vn .

    1.1 Kt qu hc tp mong i c nu r v c th ha trong chng trnh

    Chng trnh bc i hc khoa Ton C Tin hc, trng HKHTN-QGHN c nhim v cung cp cho sinh vin hiu bit v cc tng v kin thc ton; kh nng s dng hiu bit to ra v truyn t ton hc; v s chun b p dng nhng k nng trong cc chng trnh ton hc nng cao v/hoc trong s nghip i hi chuyn mn v ton. Chng trnh o to Ton hc c pht trin v cp nht thng xuyn nhm p ng cc kt qu hc tp mong i k trn cng nh cc i hi v nhu cu c th ca nn kinh t [Attachment 01.01.01]. o c ngh nghip l mt b phn ct yu ca kt qu hc tp mong i l mt im c nhn mnh. V d, Khoa x l rt nghim khc cc hnh vi gian ln v o vn [Attachment 01.01.02]. Tt c cc kt qu hc tp mong i ni trn c th hin trong chng trnh ging dy chnh

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 101

    thc ca ngnh Ton hc vi 135 n v tn ch, chia thnh 8 hc k vi 6 khi kin thc.Vic thit k ch kha hc v mi tng quan vi cu trc chng trnh, cng nh k hoch hc tp mu sinh vin ngnh Ton t c kt qu hc tp mong i c th hin trong [Attachment 01.01.03]. Di y l tm lc ni dung ca mi khi kin thc v kt qu hc tp mong i tng ng. Nhm mn hc th nht, bao gm c gio dc th cht v quc phng, nm ngoi chuyn ngnh ca sinh vin nhm m bo cho s gio dc ca sinh vin bao qut mt phm vi rng ln cc ch v cc tip cn. Phn chng trnh ny tng t cc Yu cu Gio dc i cng trong hu ht cc trng i hc Hoa K vi mc ch tng t: trang b cho sinh vin mt s gn kt hi ha gia cc kin thc khoa hc t nhin v x hi vi th gii th k 21 m h s sng v i mt sau khi ra trng. Nhm th hai nhm n vic cung cp cho sinh vin mt nn tng kin thc ton hc vng chc. Sinh vin cn c hiu bit cn k mt lng ln cc tng v kin thc ton hc. Cc mn hc ch yu ca Khoa bao trm mt mt phm vi rng cc lnh vc: gii tch, i s, hnh hc, t p, xc xut thng k, phng trnh vi phn thng v phng trnh o hm ring, qui hoch tuyn tnh Sinh vin bt buc phi hc nhiu lnh vc trong s . Nhm mn hc th ba, cng l nhm cui cng, l cc kha hc nng cao vi nhiu ty chn sinh vin c c hiu bit su hn v mt lnh vc mnh chn. Bng di y cung cp mt danh sch mn hc cng vi kt qu hc tp mong i cho sinh vin Khoa Ton. Cc mn hc ny nm trong 4 nhm:

    Cc k nng phn tch v k nng logic, Tch ly kin thc, Cc k nng mm (vit, thuyt trnh) Khi nim ha, tru tng ha, m hnh ha.

    Bng di y minh ha mi tng quan gia cc mn hc chnh thc v kt qu hc tp mong i.

    Table 1.1. Courses and ELOs

    Expected Learning Outcomes Level

    Criteria

    Con

    cept

    ion

    Und

    erst

    andi

    ng

    Und

    erst

    andi

    ng a

    nd

    Usa

    ge

    Cre

    ativ

    ity

    Courses with expected learning outcomes

    A. Accumulation of Knowledge

    Social science, Natural science, information technology, Core Mathematics, Advanced level Mathematics

    +

    +

    +

    Revolutionary Line of VCP, Ho Chi Minhs thought, Introduction of Vietnamese Cultures, National Defense Education, Physical Education, Physics I and II, Introduction to Earth and Life Science

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 111

    B. Critical and Analytical thinking

    + + + Core Mathematical Courses

    + + + Advanced Mathematical Courses

    + + + + Seminars, Lab, Applied

    Statistics, Scientific computing

    Critical and Analytical thinking, system thinking, independent research and knowledge discovery + + + + Undergraduate thesis C. Professional skills

    + + +

    Core and Advanced level courses, soft skills

    + + +

    + Seminars, Lab training, applied statistics, scientific computing

    Independent work, critical thinking, creative thinking, computer programming, teamwork

    + + +

    + Undergraduate thesis

    D. Professional ethics

    Writing, presentation skills + +

    +

    Advanced courses, Memoir, Undergraduate thesis, Soft skills training

    English + + +

    English courses A1, A2, B1, B2, C2 and English for specific purposes

    Social awareness, professional ethics

    +

    +

    +

    Revolutionary Line of VCP, Ho Chi Minhs thought, Fundamental of the Vietnamese Cultures, National Defense Education, Physical Education

    1.2 Chng trnh hc thc y vic hc sut i Hc tp sut i l cha kha trong vic bin Vit Nam thnh mt x hi tri thc v chng trnh o to ngnh Ton hc cam kt thc y vic hc sut i v cung cp nhiu kh nng khc nhau thc hin cc i hi ca vic hc sut i. Vi mc ch ny, chng trnh c gng o to cho sinh vin suy ngh mt cch cn thn, c ph phn v sng to v cc ch ton hc phong ph, v v cch lp lun ni chung, theo mt cch tip cn r rng v hp logic. V th, chng trnh ch trng vo cch hc hn l vo vic hc cng nhiu kin thc cng tt. Bn cht ca ton hc l mi mn hc v ton u gip pht trin nhng k nng ct yu cho bt k mi trng lm vic no nh t duy phn tch v t duy ph phn, k nng gii quyt vn Cc mn hc khc nh Thc hnh ton hc, Khoa hc my tnh I v IV, thng k ng dng v thm ch c kha lun tt nghip nhm n cc k nng nh m hnh ha, tnh ton khoa hc, hc tp v nghin cu c lp... [Attachment 01.02.03].

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 121

    Sinh vin theo hc ngnh Ton c khuyn khch dng kin thc v k nng ca mnh dy li cho nhng ngi khc. Nhiu sinh vin tham gia cc i tnh nguyn ti nhng vng xa dy tr em cc k nng vit, s dng my tnh v/hoc dy ton hoc cc cng vic phc v cng ng [Attachment 01.02.01]. Sinh vin ngnh Ton c th chn theo ui cc chng trnh khc nhau theo s thch ca mnh. Chng trnh tin tin ngnh Ton l ni tt c cc mn hc c dy bng ting Anh v sinh vin c c hi c lm vic cng cc gio s thnh ging t nc ngoi. Chng trnh c nhn ti nng c thit k cho cc sinh vin c ham mun tr thnh nhng ngi c kh nng lnh o v hc vn xut sc. 1.3 Kt qu hc tp mong i bao trm c c kin thc v k nng chung cng nh

    chuyn ngnh Vi cc kt qu hc tp mong i bao gm tp hp cc kin thc v k nng m t trn, chng trnh o to c thit k to iu kin cho sinh vin t c nhng kt qu ng thi p ng c nhu cu ca mi c nhn. Cc yu cu gio dc i cng, chim khong mt phn ba tng s tn ch bt buc, c thit k to lp cho sinh vin mt nn tng tri thc mnh. Nhng yu cu ny bao gm nhng mn hc trong lnh vc khoa hc t nhin, khoa hc x hi, gio dc th cht v gio dc quc phng cng nh ngoi ng. Cc mn hc v ton c thit k theo cp kh tng dn, vi nn tng da trn cc mn hc ct li bt buc trong hai nm u. Trong giai on tip theo, mt s mn hc t chn c a vo, ty theo lnh vc quan tm l ton hc thun ty (ton l thuyt) hay ton ng dng. K nng lp trnh c pht trin dn dn, t cc mn hc c bn v khoa hc my tnh (I v IV) ti cc mn chuyn su hn nh Thc hnh My tnh v ton, M hnh ton hc trong ti chnh, M hnh ton trong khoa hc Sinh hc-Mi trng hoc Thng k ng dng nhm n nhng k thut v phng php tnh ton khoa hc.. chun b cho sinh vin c c trin vng vic lm tt hn, chng trnh cng em ti cc hi tho, thng t chc trong h [Attachment 01.03.01], o to sinh vin cc k nng mm nh k nng giao tip hiu qu, suy ngh tch cc v lm vic theo nhm Trn thc t, ngay t nhng gi bi tp ca nm u, sinh vin c khuyn khch tham gia tch cc vo vic tho lun theo nhm. Cc k nng giao tip nh k nng trnh by bng cng c thc hnh thng xuyn. Mt s mn hc nh X-mi-na v cc ch c bit, kha lun tt nghip c thit k mt cch linh hot to iu kin cho sinh vin cng nh cc thnh vin trong khoa v cc hc gi mi th nghim cc hc liu mi hoc cc ch nng. 1.4 Kt qu hc tp mong i phn nh r yu cu ca cc bn lin quan Theo truyn thng, sinh vin tt nghip khoa Ton hu ht lm vic trong cc trng ph thng, trng i hc, vin nghin cu hoc trng dy ngh trong c nc. Mt lng nh sinh vin tip tc theo hc sau i hc. Trong nhng nm gn y, do nhu cu rng ln hn ca lc lng lao ng trong mt nn kinh t th trng, sinh vin tt nghip ngnh ton hc c ngy cng thnh cng hn trong vic tm vic lm, khng nhng trong ngnh cng ngh thng tin m cn trong cc ngnh kinh doanh, bo him ngn hng. Mt cuc thm d kin thc hin bng cch phng vn ring nhng ngi ph trch phng nhn lc ti nhng cng ty c sinh vin tt nghip khoa Ton cng tc (Ngn hng Bo Vit, Tp on Tinh Vn, Tp on Viettel, FPT) cho thy ngi s dng lao ng ni chung nh gi tch cc v kin thc nn tng cng nh k lut lm vic, tuy nhin cc k nng giao tip v k nng lm vic theo nhm cn c ci thin hn. Kho st cng cho thy ngi s dng lao ng ca nhng tp on trn thng khng yu cu cc k nng ton hc c th m c bit ch trng vo cc k nng gii quyt vn v t duy phn tch.

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 131

    Mt nhm nh tuyn dng khc, ch yu trong lnh vc ngn hng, cc hng u t v cng ty bo him, a chung nhng lao ng c kin thc vng v lp trnh v phn tch d liu s dng cc k thut thng k a dng. iu ny dn ti vic xc sut thng k tr thnh chuyn ngnh ph bin nht [Attachment 01.04.01]. i hi ny c tnh n trong chng trnh o to sa i, trong mt s mn hc mi v tnh ton khoa hc v xc sut thng k c a vo. Trong nhng nm gn y, Khoa cng vi hi sinh vin HUS t chc hi ch vic lm thng nin c s tham gia ca i din t rt nhiu cng ty, t chc Cc cn b khoa v sinh vin nm c y cc yu cu hc tp mong i. Trn thc t, Ban son tho chng trnh o to bao gm tt c cc ch nhim ca 7 b mn cng Hi ng khoa hc. [Attachment 01.04.02]. Chng trnh o to c cc cn b khc trong v/hoc ngoi khoa phn bin c lp [Attachment 01.04.03] Chi tit ca chng trnh c vit bi mt nhm c bit ng u l ch nhim khoa. Chng trnh chnh thc c cng b cng khai trn trang web ca HUS v sinh vin c th truy cp, vi phn gii thiu v phn tich tch v cc kt qu hc tp mong i [Attachment 01.04.04]. i vi tng mn hc ct li, ngi ng u nhm chu trch nhim v cng chng trnh chi tit. cng c vit v pht cng khai cho sinh vin vo u hc k. [Attachment 01.04.05] Mt khc, phng Thanh tra v m bo cht lng ca HUS thng xuyn tin hnh ly kin nhn xt ca sinh vin (di hnh thc n danh) v tri nghim ca h v kha hc. Khng ch thng tin v vic ging dy ca ging vin m cn c thng tin v ni dung mn hc v kin ca sinh vin v kt qu hc tp mong i cng c thu thp. [Attachment 01.04.06] Mi u nm hc, phng o to t chc mt bui hp m vi sinh vin gii p thc mc v nhng mi quan tm ca sinh vin v mi vic lin quan n vic hc tp bc i hc. [Attachment 01.04.07] TIU CHUN 2: CHNG TRNH CHI TIT

    Chng trnh c nhn Ton hc l sn phm tr tu ca tt c cc thnh vin trong Khoa v phn nh i hi ca cc bn lin quan. Chng trnh hin thi s dng h thng tn ch c xy dng trong nm hc 2006-2007 v mi gn y c sa i v cp nht vo nm 2012. Chng trnh c i chiu vi chng trnh Ton c s dng nhiu trng i hc c th hng cao trn th gii. Chng trnh nu r cc kt qu hc tp mong i thng qua vic thu nhn cc kin thc i cng v chuyn ngnh, k nng v nng lc. Chng trnh cng nhn mnh cc nguyn l gio dc hin i, bao qut nhng k nng chung v k nng chuyn ngnh gip ngi hc c kh nng v s am hiu cn thit cho vic khm khoa hc, hc v sng to sut i. c t chi tit v cu trc chng trnh m t chi tit cch t c cc kt qu . Hn na, chng trnh c thit k hp l cc bn lin quan c th d dng qun l qu trnh hc tp v thch hp phn pht trong ton trng.

    2.1 Nh trng c s dng khung chng trnh Chng trnh c nhn Ton hc hin nay c cng b rng ri trong ton b trng i hc, trn website ca i hc quc gia H Ni [Attachment 02.01.01], website i hc Khoa hc T nhin [Attachment 02.01.02], website khoa Ton C Tin hc [Attachment 02.01.03]. Cc

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 141

    sinh vin, cc nh qun l, nh tuyn dng u c th truy cp d dng tm kim thng tin v hiu r v chng trnh. K t nm 2012, chng trnh c chnh sa, cp nht v ci tin mt cch cn bn theo chng trnh ca i hc Washington [Attachment 02.01.05]. Chng trnh chi tit c p dng cho nm hc 2012/2013 c cha nhng thng tin sau [Attachment 02.01.04]: Bng 1 1. Awarding Institution VNU University of Science 2. Teaching Institution VNU University of Science 3. External Accreditation by Professional

    Vietnam National University and The Vietnam Society of Mathematics

    4. Name of final award Bachelor of Science 5. Program title: Mathematics

    6. Name of Faculty/School Faculty of Mathematics Mechanics

    Informatics

    7. Learning outcomes

    - Students will be equipped with the knowledge, skills, and qualities necessary for graduation may take jobs that use math knowledge such as teaching, research, and application of mathematics in the fields of science, technology, economy and society. - Bachelor of Mathematics can register for training at the Masters level, PhD.

    8. VNU Code: MAT xxxx

    9. Admission criteria to the program:

    - National Entrance Examination requirement: Mathematics, Physics, and Chemistry for entrance students. - GPA of 2.0/4.0 for each academic year

    10. Relevant subject benchmark statement

    N/A

    11. Educational aims /objectives of the program

    - Students are equipped with the basic knowledge and the foundations of mathematics, the ability to use mathematical software, initially equipped with in-depth knowledge in one of two directions: Mathematical Theory and Applied Mathematics.- Applying acquired knowledge to analyze, investigate and solve some specific problems in Pure Mathematics or Applied Mathematics.

    12. Teaching, learning and assessment strategies

    Teaching and Learning Methods: Lectures, supervisions, practical classes and seminar, discussion hours, group projects Main assessment methods: + Written and oral examinations + Homework assignments + Submission of project report

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 151

    13. Required credit numbers 135 14. Mode of study Full time 15. Language of study Vietnamese, English 16. Length of the program: 4 years 17. Date of production /revision of this program specification:

    August 2012

    18. Published on mim.hus.vnu.edu.vn,

    hus.vnu.edu.vn, www.vnu.edu.vn 2.2 Khung chng trnh phn nh kt qu hc tp d kin v cch thc t c nhng kt qu ny Chng trnh Ton hc c pht trin v cp nht thng xuyn p ng kt qu hc tp mong i cng nh cc i hi v nhu cu c th ca nn kinh t [Attachment 02.02.01]. Kt qu hc tp mong i c miu t r trong khung chng trnh di dng cc kin thc, k nng, thi hc tp cng nh ch hc v cc phng php dy, hc v nh gi.

    A/ Kin thc: A1. Khi kin thc chung:

    - ng li cch mng ca ng cng sn Vit Nam, Nhng nguyn l ca ch ngha Mc-Lnin, t tng H Ch Minh, gio dc quc phng.

    - Khi kin thc chung v khoa hc x hi v nhn vn. - ngoi ng v cng ngh thng tin.

    A2. Khi kin thc c bn:

    - Sinh vin c trang b kin thc c bn v c s ca ton hc, c kh nng s dng phn mm ton hc.

    - C kin thc v hiu bit v nhiu lnh vc ca ton hc: gii tch, i s, hnh hc, t p, xc sut thng k, phng trnh vi phn v phng trnh o hm ring, qui hoch tuyn tnh

    A3. Khi kin thc chuyn ngnh: - Sinh vin c trang b kin thc kin thc chuyn su theo mt trong hai hng ton

    hc l thuyt hoc ton ng dng. - Kha lun tt nghip: Vn dng tng hp kin thc thu c phn tch, kho st v

    gii quyt mt s bi ton c th trong ton hc l thuyt hay ton ng dng. B / K nng cng: B1. K nng ngh nghip: Kh nng lm vic c lp, k nng t chc, tham kho ti liu ting Anh chuyn ngnh, k nng phn tch, kho st v gii quyt mt lp cc bi ton. B2. K nng lp lun t duy gii quyt vn : Kh nng pht hin vn v nh gi vn , phn tch a ra cc gii php gii quyt vn . B3. K nng nghin cu v khm ph kin thc: Kh nng p dng kin thc trong cng vic thc t, thu thp v tng hp thng tin, tin hnh nghin cu di s hng dn ca cc chuyn gia. B4. K nng t duy theo h thng: Kh nng t duy logic v phn tch tng hp cc vn . B5. Vn dng kin thc v k nng thc tin: C nng lc s phm, ging dy, kh nng nghin cu khoa hc, kh nng tip thu cng ngh mi, k nng qun l d n.

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 161

    C / K nng mm: C1. K nng c nhn: k nng t hc, lm vic chm ch, nhit tnh, t tin, thch ng vi cng vic v nhng thay i trong cng vic, k nng ha nhp vi mi trng v ng nghip. C2. K nng lm vic theo nhm: K nng lm vic theo nhm, xy dng v iu hnh nhm, lien kt cc nhm. C3. K nng qun l v lnh o: T chc phn cng nhim v trong n v; nh gi hiu sut ca cc c nhn v nhm. C4. K nng giao tip: C kh nng thuyt trnh lu lot, k nng giao tip gia cc c nhn. C5. S dng ngn ng: IELTS 4,0, kh nng nghin cu ti liu chuyn ngnh ting Anh.

    D / o c D1. o c c nhn: Kin tr, chm ch, nhit tnh, am m v sng to; l , khim tn. D2. o c ngh nghip: Trung thc, c trch nhim vi cng vic, lm vic ng tin cy. D3. o c x hi: thc hin theo quy nh ca php lut, chnh sch ca ng v Nh nc.

    Cc kt qu hc tp mong i trn c nu ra v c th ha thnh chng trnh nhm gip cc bn lin quan nm r chng trnh. Khung chng trnh to ra mt l trnh cho kt qu hc tp mong i thng qua kin thc, k nng v thi . Mi lin kt gia cc khi kin thc, t kin thc chung ti kin thc chuyn ngnh vi thng tin chi tit v cc mn hc gip sinh vin bit kin thc no cn tch ly v mn hc no s c dy k sau. T , sinh vin d dng lp ra k hoch hc tp c nhn t c kt qu tt nht.

    Vic phn b cc mn hc trong sut 8 hc k c da trn nguyn tc v trnh t mn hc, theo cc mn hc hc k trc t nn mng cho cc mn k tip. Mi mn hc c chng trnh khung chi tit, cch thc nh gi v cc yu cu hon tt mn hc [Attachment 02.02.02]. Qu trnh nh gi s dng nhiu cch tip cn v phng php khc nhau bao trm ht ni dung v mc tiu ca mn hc. Phng php nh gi c p dng: thi vit, thi vn p, cc bi kim tra nh, bo co khoa hc, hot ng tho lun chuyn , bi tp nghin cu v tra cu ti liu [Attachment 02.02.03], [Attachment 02.02.04].

    2.3 Khung chng trnh giu thng tin, d hiu v c th tip cn c bi cc bn lin quan Nhm gip cc bn lin quan hiu r chng trnh, c bit l cung cp cho sinh vin phng hng la chn v qu trnh hc, HKHTN-HQG gii thiu nhng thng tin cn thit v chng trnh ngnh Ton trn website ca Trng [Attachment 02.03.01]. Trng cng t chc tho lun vi sinh vin nhm pht trin v iu chnh k hoch cng chi tit v sp xp chng trnh gio dc mt cch thch hp [Attachment 02.03.01]. Chng trnh hc cung cp cc thng tin chi tit v mc ch, kt qu hc tp mong i v kin thc, nng lc, k nng v thi . Sinh vin s nhn c bng c nhn Ton nu h t c nhng kt qu mong i . Khung chng trnh cng cng cho bit sinh vin c th lm cng vic g sau khi tt nghip. V vy, n l mt ngun thng tin cho cc bn lin quan, ngi s dng lao ng v sinh vin. Sinh vin v cc bn lin quan c cung cp hng dn v chng trnh trong ti liu nhp hc, bn tin Khoa, v ti cc trang Web ca i hc Quc gia H Ni, HKHTN v ca Khoa Ton C Tin hc [Attachment 02.03.04], [Attachment 02.03.05].

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 171

    .

    TIU CHUN 3: CU TRC V NI DUNG CHNG TRNH

    3.1 Ni dung ca chng trnh o to cho thy s cn bng tt gia cc k nng v kin thc chung vi cc k nng v kin thc chuyn ngnh Chng trnh ny c xy dng da trn mu ca i hc Quc gia H Ni theo h thng tn ch: Tng s mn hc: 42; Tng s tn ch: 135 (bao gm 120 tn ch bt buc v 15 ty chn). Chng trnh c thit k vi hai khi kin thc: kin thc chung (41 tn ch) v kin thc chuyn ngnh ca Ton hc chnh (87 tn ch), v lun n (07 tn ch) [Attachment 03.01.01]. Da trn cc kt qu ca thng tin phn hi t cc bn lin quan, mc tiu o to v kt qu hc tp d kin, hi ng khoa hc ca Khoa khi xy dng chng trnh ny rt ch n s cn bng gia kin thc l thuyt v k nng thc hnh. iu ny c th c th hin trong cu trc chng trnh, ni dung cc mn hc v chng trnh hc.

    Chng trnh c thit k vi hai khi kin thc: khi kin thc chung (41 tn ch) v kin thc chuyn ngnh Ton (87 tn ch) bao gm kin thc c bn v kin thc nng cao v kha lun tt nghip (7 tn ch). Cc ni dung trong cu trc chng trnh c s cn bng gia kin thc chung, kin thc chuyn ngnh c bn v nng cao.

    Khi kin thc chung tp trung vo vic cung cp kin thc nn ca khoa hc t nhin, khoa hc x hi v nhn vn, vn ha, chnh tr, nguyn tc chung ca ch ngha Mc-Lnin, t tng H Ch Minh, k nng tin hc, ngoi ng, vt l, c s vn ha Vit Nam, khoa hc Tri t v S sng. Ngoi ra, sinh vin cng tham gia cc kha hc v gio dc quc phng, gio dc th cht, k nng mm.

    Trong khi kin thc chuyn ngnh ca Ton hc (87 tn ch), trc ht hc sinh c cung cp cc kha hc ton hc c bn (44 tn ch). Sinh vin cn c hiu bit cn k cc kin thc c bn v ton. Cc mn hc chnh ca khoa bao trm nhiu lnh vc ca ton hc: gii tch, i s, hnh hc, t p, xc sut thng k, phng trnh vi phn v phng trnh o hm ring, qui hoch tuyn tnh Yu cu ca Khoa buc sinh vin phi theo hc vi lnh vc trong s . Sau , sinh vin c th thc hin theo cc kha hc nng cao (28 tn ch) v la chn mt s mn theo mt trong hai chuyn ngnh ton hc l thuyt hoc ton hc ng dng (15 tn ch). Trong hc k cui, sinh vin s lm kha lun tt nghip 07 tn ch.

    Hnh 1. Cc khi kin thc ca chng trnh

    3.2 Chng trnh o to phn nh c tm nhn v s mng ca nh trng

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 181

    Vi mc tiu o to lc lng lao ng cht lng cao cho x hi, kt qu hc tp d kin ca chng trnh Ton hc hng n kin thc, k nng v cht lng. Nhng kt qu mong i ny phn nh tm nhn v s mng ca HUS [Attachment 03.02.01; Attachment 03.02.02] vi mc tiu tr thnh mt trng i hc nghin cu tin tin, cung cp ngun ti nguyn l nhng con ngi ti nng, cht lng v sn phm khoa hc v cng ngh c gi tr cao cho x hi. Chng trnh cng nhm mc ch pht trin Khoa Ton C Tin hc thnh mt trung tm ton hc cht lng cao Vit Nam, m rng v pht trin ngnh ton hc cho mc ch nghin cu. 3.3 ng gp r rng ca mi hc phn vo vic thc hin cc kt qu hc tp mong mun Chng trnh ngnh Ton hc va c cp nht v chnh sa mt cch cn bn nm 2012 nh s ng gp ca tt c thnh vin trong Khoa, da trn chng trnh ca HQG v chng trnh o to ca cc trng danh ting nh i hc Washington, i tc ca Khoa [Attachment 03.03.01], [Attachment 03.03.02]. Chng trnh nu r cc kt qu hc tp mong i thng qua vic thu nhn cc kin thc i cng v chuyn ngnh, k nng v nng lc. Chng trnh ton hc c thit k theo cc tiu ch quc t, da trn nghin cu h thng tn ch trong bao gm cc m-un c sp xp trong mi hc k c chia thnh nhiu khi kin thc. Chng trnh hc chi tit ca cc mn hc trong mi hc k c xy dng m bo tnh nht qun v lin tc vi mc kh tng dn, pht trin cc k nng hp vi cc trang b khi kin thc. Bng 2 cho thy s ng gp ca mi mn hc n kt qu ca chng trnh:

    Bng 2. Ma trn u ra (A, B, C, D Tiu ch 2.2)

    Knowledge Hard skills Soft skills Ethics Course

    Code: MAT

    Cre

    dit

    A1

    A2

    A3

    B1

    B2

    B3

    B4

    B5

    C1

    C2

    C3

    C4

    C5

    D1

    D2

    D3

    Marxist-Leninist Philosophy 1, 2 5 X X X X X X X X X X

    Ho Chi Minhs thought 2 X X X X X X X

    Revolutionary Line of the Vietnam Communist Party

    3 X X X X X X X

    Introduction to computer science and information technology 1+4

    5 X X X X X X X X X

    English A1+A2+B1

    14 X X X X

    Physical Education 4 X X X

    National Defense Education I+II+III

    7 X X X X X X

    Soft skills 3 X X X X X X X X

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 191

    Fundamental of Vietnamese Culture

    3 X

    Earth and Life Sciences 3 X

    General physics 1, 2 6 X X X X X

    Linear Algebra 1, 2

    2300+2301 8 X X X X X X X

    Calculus 1, 2, 3 2302-2304 14 X X X X X X X

    Introduction to Differential Equations

    2305 3 X X X X X X X

    Introduction to Partial differential equations 1

    2306 3 X X X X X X X

    Numerical analysis 2307 4 X X X X X X X

    Probability 1 2308 3 X X X X X X X X Linear optimization1 2309 3 X X X X X X X

    Analytic geometry 2310 2 X X X X X X X

    Applied Statistics 2311 4 X X X X X X X Introduction to Modern Algebra 3300 4 X X X X X X X

    Functional analysis 3301 3 X X X X X X X

    Discrete Mathematics 3302 4 X X X X X X X

    Complex analysis 3303 3 X X X X X X X Mathematics Computer Laboratory

    3304 2 X X X X X X X X

    Topology 3305 3 X X X X X X Differential Geometry 3306 3 X X X X X X

    Measure theory and integration 3307 3 X X X X X X

    Galois theory 3308 3 X X X X X X

    Modern Algebra 3309 3 X X X X X X

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 202

    Mi mn hc trong chng trnh u c cng chi tit cng danh mc ti liu tham kho gm:

    Algebraic topology 3310 3 X X X X X X

    Group Theory and Group Representations

    3311 3 X X X X X X

    Algebraic geometry 3312 3 X X X X X X

    Number theory 3313 3 X X X X X X

    Differential topology 3314 3 X X X X X X

    Topological vector space 3315 3 X X X X X X

    Spectra of operators 3316 3 X X X X X X

    Partial differential equations 2

    3317 3 X X X X X X

    Analysis on Manifolds 3318 3 X X X X X X

    Differential equations in Banach spaces

    3319 3 X X X X X X

    Integral equations 3320 3 x x X X X X

    Introduction to Stochastic Processes

    3321 3 X X X X X X

    Probability 2 3322 3 X X X X X X Discrete Optimization 3323 3 X X X X X X

    Combinatorial Theory 3324 3 X X X X X X

    History of mathematics 3325 3 X X X X X X

    Special Topics in Mathematics 3326 3 X X X X X X

    Thesis 7 X X X X X X

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 212

    tn mn, m mn, cu trc mn, cc mn tin quyt, mc tiu, m t s lc v mn hc, ni dung c th tng chng, ti liu tham kho v phng thc nh gi. cng ca tng mn nu r mc tiu ca mn ph hp vi kt qu hc tp ca ton b chng trnh [Attachment 03.03.03]. 3.4 Chng trnh o to cht ch v tch hp cc mn hc cng nh kha hc Hnh 3 cho thy mt s tng tc hp l gia cc kha hc v kt ni ln nhau gia cc kha hc c bn v chuyn ngnh. Chng trnh c thit kt theo th t t cn bn, c bn n chuyn ngnh v c ging dy trong bn nm hc. Ba hc k u tin cung cp mt nn tng c s ca ton hc. Ba hc k tip theo l cc mn hc nng cao. S phc tp ca cc mn hc tng dn theo tng nm. Danh sch cc mn ca cc lp trn v cc mn t chn nng cao c cung cp cho sinh vin nm di. Cc mn t chn c thit k t c mt trong hai mc ch: hng sinh vin i vo chuyn ngnh hp v hng sinh vin m rng kin thc bng cch chn cc mn trong mt chng trnh gn vi mnh. Nm cui cng ch gm cc kha hc chuyn ngnh. Kha lun tt nghip l bc u cho sinh vin tp dt nghin cu khoa hc s c thc hin di s hng dn ca mt ging vin trong khoa hoc ca mt gio s c mi. Hnh 2 cho thy s tng tc logic gia cc mn hc v lin kt chung gia cc khi mn c bn, c s v chuyn ngnh Cc mn hc c tch hp cht ch, mi mn hc u i hi mt s mn hc tin quyt, c bit l cc mn hc chuyn ngnh. V vy, nu sinh vin khng tch ly s mn hc cn thit th h c th b loi khi chng trnh.

    Hnh 3. Phn b ca cc mn hc

    3.5 Chng trnh o to c c chiu rng v chiu su Chng trnh hc th hin b rng vi ni dung bao gm 42 mn hc vi tng s 135 tn ch, bao trm nhiu khi kin thc: Kin thc chung v khoa hc x hi v nhn vn, khoa hc t nhin, vn ha, tin hc, ngn ng: kin thc c bn v chuyn su v ton: gii tch, i s, hnh hc, t p, xc sut thng k, phng trnh vi phn v phng trnh o hm ring, qui hoch tuyn tnh [Attachment 03.05.01]. Chiu su ca chng trnh cn c th hin qua trnh t cc mn hc, t kin thc chung n kin thc c s v chuyn ngnh. Cc mn k trc ng vai tr lm nn cho cc mn k sau

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 222

    Danh sch cc mn hc phn sau v cc mn t chn nng cao c cung cp cho sinh vin nm cui. Cc mn t chn nng cao v chuyn ngnh u c cc mn hc c bn v trung cp tin quyt [Attachment 03.05.02]. Tt c cc kha hc c mc tiu chung v mc tiu c th v c cu hp l c thit k c h thng, cht ch v c t chc.

    Khoa Ton C Tin hc xy dng chng trnh ngnh ton bao qut c niu mn hc nhm trang b cho sinh vin ra trng nhng kin thc i cng v cc k nng cng vi chiu su kin thc v s hiu bit v ton v khoa hc. Sinh vin tt nghip c th lp tc th hin kh nng ging dy, nghin cu v gii quyt cc bi ton thc t trong cc trng i hc, cao ng, vin nghin cu, x nghip Vit Nam. Nhiu sinh vin sau khi tt nghip nhn c hc bng tip tc hc tp nc ngoi ri sau tr thnh gingr vin hoc nghin cu vin cc trng i hc Vit Nam v cc nc pht trin.

    3.6 Chng trnh o to cho thy r rng cc hot ng ca cc mn hc c bn, cc mn trung gian, cc mn chuyn ngnh v kha lun, lun vn hoc lun n tt nghip Chng trnh cung cp thng tin cc m mn hc, cc kha hc v s lng tn ch ca tng mn hc. Bn cnh , n cng chia cc kha hc thnh cc khi kin thc c s, trung cp v chuyn ngnh.

    Table 3. Program module

    Module Title Code Status

    1. Basics

    Linear Algebra 1 Linear Algebra 2 Calculus 1 Calculus 2 Calculus 3 Differential Equations Partial differential equation 1 Numerical analysis Probability 1 Linear optimization 1 Analytic geometry Applied Statistics

    MAT2300 MAT2301 MAT2302 MAT2303 MAT2304 MAT2305 MAT2306 MAT2307 MAT2308 MAT2309 MAT2310 MAT2311

    Required Required Required Required Required Required Required Required Required Required Required Required Required

    2. Intermediates

    Introduction to Modern Algebra Functional analysis Discrete Mathematics Complex analysis Math. Comp. laboratory Topology Differential Geometry Measure theory and integral Galois theory

    MAT3300 MAT3301 MAT3302 MAT3303 MAT3304 MAT3305 MAT3306 MAT3307 MAT3308

    Required Required Required Required Required Required Required Required Required Required

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 232

    3. Specialized

    Modern Algebra The basis of algebraic topology Theory of group and group representationAlgebraic geometry Number theory Differential topology Topological vector space Spectral analysis of operators Partial differential equations 2 Calculus on manifolds Differential equations in Banach spaces Integral equations Introduction to Stochastic Proccesses Probability 2 Discrete Optimization Combinatorial Theory History of mathematics Special Topics in Mathematics

    MAT3309 MAT3310 MAT3311 MAT3312 MAT3313 MAT3314 MAT3315 MAT3316 MAT3317 MAT3318 MAT3319 MAT3320 MAT3321 MAT3322 MAT3323 MAT3324 MAT3325 MAT3326

    Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective Elective

    4. Thesis Undergraduate thesis Required Bng 3 cho thy danh sch cc mn hc c s, trung cp v chuyn ngnh trong cu trc ca chng trnh. Nhng m-un khc nhau cng nh cc kha hc bt buc v la chn c mi quan h lin kt ph tr ln nhau. Cc mn hc c bn thng l cc mn tin quyt cho nhng mn khc. Cc mn hc trung cp l mn hc tin quyt cho cc mn hc nng cao v chuyn ngnh. Cc mn c bn v mt s mn trung cp cung cp cc kin thc chung cp khc nhau trong khi nhng mn chuyn ngnh cung cp cc kin thc nghin cu chuyn su. c bit, phn kin thc chuyn su c chia thnh hai hng chnh l Ton l thuyt v Ton ng dng vi 5 chuyn ngnh hp: i s, Gii tch, Gii tch s v tnh ton khoa hc, Ti u ha, Xc sut thng k. Kha lun tt nghip ch trng vo vic t nghin cu di s hng dn ca ging vin trong Khoa hoc ca gio s mi. 3.7 Chng trnh o to c cp nht Chng trnh ton hc thng xuyn c xem xt, nh gi v sa i, b sung bi hi ng khoa hc ca Khoa, i ng ging vin v cc bn lin quan m bo cht lng dy v hc tp. iu ny c thc hin trong ni b v bn ngoi. Da trn nhng phn hi, nhng iu chnh ca chng trnh c th c thc hin bi Hi ng Khoa hc Khoa. Bn cp nht hoc thay i chng trnh o to ph thuc vo nhiu yu t. Bng 4 cho thy s thay i trong chng trnh ton hc trong nm nm qua.

    Chng trnh hin ti c pht trin qua 3 giai on. Giai on u, chng trnh theo h nin ch v da trn cc chng trnh ca nhng trng ni ting ca Lin X. S thay i t h thng nin ch sang h thng tn ch din ra nm 2007 nhm to ra mt h thng qun l gio dc linh hot hn, cho php sinh vin c them la chn. T nm 2012, chng trnh c chnh sa, cp nht v ci tin cn bn theo chng trnh ca i hc Washington vi kt qu hc tp mong i c xc nh r.

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 242

    Hnh 4. S lng tn ch qua cc t iu chnh Khung chng trnh

    Content Program accredited in 2006

    Changes in 2010

    Changes in 2012

    Fundamental courses 30 28 35 Knowledge of Human and Social Sciences

    04 02 06

    Fundamental Knowledge in Mathematics

    28 28 44

    Specialized courses 67 67 43 Practice and Thesis 07 07 07

    Credits

    Overall credit 136 132 135 Cng vi s thay i trong ni dung chng trnh v gio trnh, cng mn cng c sa i v cp nht. Cc thng tin mi c gii thiu cho sinh vin qua cc cng chi tit ca tng mn.

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 252

    TIU CHUN 4: CHIN LC DY V HC

    Quy ch HQGHN quy nh chng trnh p dng cc phng php dy v hc hin i, tin tin nhm t c cc tiu chun cht lng ca cc trng i hc khu vc v quc t []. Mc tiu tng th l chun b cho vic dy v hc HQG c tha nhn t chun quc t do cc i hc hng u th gii thc hin. t c mc tiu ny, Khoa t vn hc tp tch cc lm vn trng tm v khng ngng nh gi cch ging dy cc mn hc c trong v ngoi lp hc. 4.1 Khoa c mt chin lc dy v hc r rng.

    HKHTN-HQG v Khoa Ton C Tin hc c uy tn quc t v vic dy v hc c cht lng cao. Trng lun h tr v hng dn cc ging vin tr m bo cht lng dy v hc. Khoa Ton C Tin hc trin khai chin lc sau:

    Khoa nhn r tm quan trng ca cc mn hc trong nm u, v chng khng ch ng vai tr nn mng cho cc mn hc mc cao hn m cn hnh thnh nn n tng ban u ca sinh vin v gio dc i hc. Mt chin lc ging dy hiu qu s dn n cch tip cn hiu qu ca sinh vin trong vic hc v s dng thng tin, hay ni cch khc, mt chin lc hc tp tt. V vy, cc ging vin giu kinh nghim nht, vi thnh tch ging dy xut sc c phn cng dy cc mn hc quan trng v kh nht, i vi nm th nht l cc mn i s tuyn tnh v gii tch.

    Chng trnh o to ch trng vic sm tip cn khoa hc my tnh v lp trnh ci thin cc chin lc dy v hc. Chin lc ging dy da vo cng ngh c khuyn khch nu ph hp. V d cc lp hc mn phng trnh vi phn, sinh vin c lm quen vi Matlab.

    Trng v Khoa c chnh sch khng ch s sinh vin mi lp khng qu 60, nht l vi cc lp nhng nm u [Attachment 04.01.01]. iu ny nhm m bo vic ging vin c thm thi gian hng dn ring cho tng sinh vin. S lng sinh vin cho cc gi bi tp hoc thc hnh my tnh cn c gim bt hn na, thng ch cn mt na. [Attachment 04.01.02]

    Khoa cung cp cng mn chi tit chung cho cc mn hc mc thp. Thng thng, ch nhim tng b mn m nhim vic vit cng, c tham kho in cc ging vin khc. cng c pht cho sinh vin trong tun u ca mi lp hc vi phn hng dn chi tit ni dung mn hc v cch chm im. Danh sch cc bi tp c dng chung trong cc gi bi tp. [Attachment 04.01.03].

    Mt khc bit ch yu gia mn ton bc trung hc vi ton hc mc cao l s ch trng vo l thuyt- nh ngha v th d hn l cc k thut bin i nht nh. Khoa c chnh sch yu cu bi thi cui k, nht l cc lp mc thp, phi bao trm c l thuyt v bi tp. iu gip sinh vin hnh thnh mt chin lc hc tp tt cho ring ngnh ton. [Attachment 04.01.04]

    Trong phn sa i chng trnh o to mi nht, s lng mn hc nhn mnh vo t hc v/hoc mn dng x - mi - na c gia tng. Sinh vin c im hc tp cao c php chn lm kha lun thay cho thi tt nghip. [Attachment 04.01.05]

    4.2 Chin lc dy v hc to iu kin cho sinh vin thu nhn v lm ch cc kin thc theo cch nghin cu

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 262

    Trong cc kin phn hi ca sinh vin, cc cn b ging dy ca Khoa c nh gi cao v s ha ng v hu ch. [Attachment 04.02.01]. Mi ging vin tr u c mt thy c vn, thng l thy gio c kinh nghim trong Khoa, gip trong nhng bui u ging dy. Ngi c vn d gi ca ging vin tr t nht mt ln mi k ri vit nhn xt d gi. [Attachment 04.02.02]. Mt ti liu tn l Hng dn hc ton c pht cho sinh vin nm u ngnh ton trong bui gp mt u tin, t chc vo hc k u.

    Sinh vin c khuyn khch tham gia cha bi tp trn lp trong gi bi tp, c lc cn c thng im cho vic [Attachment 04.02.03] iu ny m bo rng mi trng hc tp ng vin sinh vin tch cc tham gia vo qu trnh hc tp.

    Nm va qua, Khoa bt u nhn cc sinh vin gii cc lp nm cui lm tr ging trong cc lp hc ca nm u. Cch lm ny t ra rt thnh cng [Attachment 04.02.04]. Sinh vin cm thy khong cch thy tr bt xa cch h c ngi hiu c kh khn cng nh sn sng gip mnh, cn tr ging tr tr nn t tin v kin thc v k nng trnh by ca mnh. 4.3. Chin lc dy v hc hng ti ngi hc v khch l hc tp cht lng Mt trong nhng thay i quyt lit nht trong h thng nh gi ti VNU-HUS l vic a vo s dng h thng da trn tn ch k t nm 2007. Qu trnh thay th tng bc lm sinh vin linh hot hn trong vic chn mn hc mnh mun hc. Gi y sinh vin c th ng k mn hc ty theo thi kha biu v s thch ca mi c nhn [Attachment 04.03.01] Sinh vin ngnh ton c hoi bo c khuyn khch theo hc Chng trnh tin tin ngnh Ton hoc h C nhn ti nng ngnh Ton. Cc mn hc ca chng trnh tin tin ngnh Ton c dy bng ting Anh v theo tha thun vi i hc Washington, Seattle (M), thng thng mi nm c khong 2 gio s t trng ny (hoc t cc c s quc t c quan h vi Khoa) n Khoa dy sinh vin ca chng trnh. Chng trnh ny, do B GD v T h tr, thu ht c mt s sinh vin nc ngoi.

    Hng nm c khong 10-15 sinh vin theo hc chng trnh C nhn ti nng ca Khoa, nhiu em trong s l thnh vin i tuyn d thi Olympic quc t hoc sinh vin c gii thi hc sinh gii ton quc. Cc sinh vin h c nhn ti nng thng tm cch tip cn ton hc ton din v mo him hn, c th hin qua lun vn tt nghip nm cui. Nhiu sinh vin h ti nng nhn c hc bng tip tc hc i hc trng Bch khoa Pari (Php). Sinh vin ca c hai chng trnh trn cng nh sinh vin chng trnh chnh qui c khuyn khch theo ui vic nghin cu c lp cng vi khng ch cc ging vin trong khoa m cn vi cc nh nghin cu Vin Ton hc, hoc thm ch vi cc gio s thnh ging t UW.

    4.4. Chng trnh mn hc khuyn khch vic hc tp hnh ng v h tr vic hc cch t hc Hnh thc hc tp tch cc chung nht c s dng Khoa l hc thng qua bi tp, thc hin trong rt nhiu gi cha bi tp v thc hnh my tnh. Chng ti tin rng sinh vin hc cc ch v pht trin hiu bit ca ring mnh v cc khi nim thng qua vic gii bi tp.

    Tuy nhin, sinh vin Vit Nam, cng nh hu ht cc sinh vin chu , thng kh trm v th ng trong lp. V th cn nhn mnh rng sinh vin khng lp tc tham gia vo vic hc tp tch cc m cn phi c thc y thng qua hng lot cc bi tp, cu hi c chun b k lng cng nhiu hnh thc hc tp khc nhau nh lm bi tp nhm hoc n, x-mi-na sinh vin

    Do s lng ln kin thc nn cn c, trong hai nm u, sinh vin ch yu hc bng qu trnh thu nhn kin thc trong bi ging v lm cc bi tp thc hnh trong gi bi tp. Tuy nhin, vic

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 272

    la chn bi tp thc hnh tr nn a dng hn, vi nhiu bi ton lin quan n thc t hoc bi ton m hnh ha thay th cc bi tp dng bin i biu thc, gii phng trnh n gin.

    Khoa t chc nhiu hot ng phong ph nh Olimpic ton sinh vin, cc cuc thi lp trnh Trong 3 nm gn y, sinh vin VNU-HUS cn tham gia k thi Olimpic ton quc t dnh cho sinh vin ti Bulgaria v dnh c kt qu tt. [Attachment 04.04.01]. Cc cn b trong Khoa c s lng cng b bi bo quc t lun ng u trong s cc khoa ca VNU v ng mt vai tr c bit quan trng trong cc hot ng nghin cu khoa hc sinh vin.

    Hu ht cc sinh vin bt u tham gia nghin cu khoa hc t nhng nm u di s hng dn ca cn b trong khoa hoc cc nh nghin cu ti H Ni. Mt hi ngh nghin cu khoa hc ca sinh vin c t chc hng nm l ni sinh vin VNU-HUS ph bin cc kt qu nghin cu ca mnh. Hi ngh ny thu ht nhiu sinh vin tham d. Mt chnh sch ca VNU khuyn khch nghin cu ca sinh vin l cho im thng hoc trng s thng i vi chuyn tip sau i hc. [Attachment 04.04.02] Sinh vin Khoa Ton - C - Tin hc ginh gii nht 3 ln trong s 4 hi ngh khoa hc sinh vin gn nht. Mt v d v mt cu chuyn thnh cng l cng trnh chung gia gio s thnh ging Moshe Rosenfeld vi sinh vin L Tin Nam. L Tin Nam, mt sinh vin Chng trnh CNTN lm vic vi GS Moshe Rosenfeld, ginh gii thng quc gia cho sinh vin xut sc nht v khoa hc t nhin Vit Nam thng 1 nm 2013. Mt bi bo do hai ngi vit c nhn ng Tp ch L thuyt th. [Attachment 04.04.03] Sinh vin chng trnh c nhn ti nng bt u nhng tri nghim v nghin cu sm hn. H vit mt bi lun da trn cc nghin cu c lp di s hng dn ca mt cn b trong khoa m h chn ngay t nm hc th ba.

    Nm qua, Khoa bt u th nghm chng trnh ngoi kha Kinh nghim nghin cu cho sinh vin bc i hc vi s tham d ca cc sinh vin nm th hai v th ba. Theo nh GS Moshe Rosenfeld, ngi hng dn nhm, kt qu nghin cu l kh n tng.

    TIU CHUN 5: NH GI SINH VIN

    Vic nh gi sinh vin ng vai tr quan trng trong cht lng gio dc v c nh hng ln n s nghip tng lai ca sinh vin. Khoa Ton C Tin hc lun khuyn khch s dng nhng phng php chun nh gi cc hot ng dy v hc.

    5.1 nh gi sinh vin qua thi tuyn u vo, kim tra trong qu trnh hc v thi ht mn

    Thi tuyn u vo: Sinh vin vo hc ngnh Ton hc ca Khoa Ton- C Tin hc thuc mt trong hai din sau:

    Din tuyn thng: p dng vi cc sinh vin l thnh vin ca i tuyn Olympic ton quc t v cc sinh vin t gii nht, nh, ba trong cc k thi hc sinh gii Ton quc gia [Attachment 05.01.01]

    Din thi tuyn: p dng vi cc th sinh ng k vo hc ngnh Ton ca khoa, cc th sinh ny phi vt qua k thi tuyn sinh i hc do B GDT t chc vo thng 7 hng nm gm 3 mn Ton hc, Vt l, Ha hc trong mn Ha hc v Vt l thi trc nghim trong 90 pht, mn Ton thi vit trong 180 pht. [Attachment 05.01.02]. Trong nhng nm gn y im

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 282

    u vo kh cao so vi im sn ca B Gio dc o to (xem Bng 5.1)

    Bng 5. im chun ngnh Ton hc t 2009 2012

    Nm 2008 2009 2010 2011 2012

    im u vo (ti a 30) 19.0 19.0 19.5 18.0 18.0

    im chun quc gia 13.0 13.0 13.0 13.0 13.0

    Cc sinh vin quc t ng k vo hc ngnh Ton ca Khoa khng phi tham d k thi quc gia nhng phi vt qua mt t kim tra ring [Attachment 05.01.03].

    nh gi: Cn nhiu phng php nh gi khc nhau c th nh gi chnh xc nht qu trnh hc tp ca sinh vin.

    Kim tra trong qu trnh hc v thi ht mn: Vi mi mn hc, gio vin s thng bo cho sinh vin bit thang im nh gi. Thng thng, sinh vin c nh gi thng qua ba u im: im thng xuyn, im gia k v im cui k. Quy nh ca HQGHN yu cu sinh vin phi ln lp t nht 80% thi lng ging dy c th tham d k thi cui k [Attachment 05.01.04]. K thi cui k ca sinh vin c th l thi vit hoc vn p. Thng tin chi tit v vic nh gi sinh vin c th xem trong Quy nh v nh gi hc sinh, sinh vin ca i hc Khoa hc T nhin, HQGHN [Attachment 05.01.05].

    Thi cui kha: c nhn bng, sinh vin phi tch ly s tn ch cn thit v phi hon thnh kha lun tt nghip di s hng dn ca gio vin hoc phi vt qua k thi tt nghip. Vic nh gi kha lun tt nghip phi tun theo cc quy nh ca Trng i hc Khoa hc T nhin bao gm ton b qu trnh lm kha lun t vic vit cng, bo co nh k v bo v kha lun [Attachment 05.01.06]. Thng thng, cc kha lun tt nghip c nh gi bi mt hi ng m bo vic nh gi c chnh xc, khch quan [Attachment 05.01.07]. K thi tt nghip gm 6 mn l i s, Gii tch, Phng php tnh, Xc sut thng k, Ngn ng lp trnh v L thuyt th [Attachment 05.01.08].

    nh gi ton kha hc: im ti thiu qua cho mi mn l 40% cho cc nm 1, 2, 3 v sinh vin phi hon thnh tt c cc mn hc. phn loi bng c nhn, h thng cho im sau c p dng:

    im (theo ch) im (theo s) Xp loi

    A 3.60 4.00 Xut sc

    B 3.20 3.59 Gii

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 292

    C 2.50 3.19 Kh

    D 2.00 2.49 Trung bnh

    F < 2.00 Yu

    5.2. Vic nh gi c thc hin theo cc tiu ch

    nh gi theo tiu ch c s dng HQGHN v n l phng thc nh gi r rng v nh lng hn so vi cc phng php thng thng. iu ny c ch r trong Mc 9 ca Hng dn xy dng v hon thin chng trnh ph hp vi u ra [Attachment 05.02.01] v Mc 42 (chng VII) trong Quy ch o to ca i hc Quc gia H Ni [Attachment 05.02.02.].

    Thang im nh gi mi mn hc c cho trong bng di y:

    A 3.60 4.00 Xut sc Bi lm ca sinh vin lun xut sc v ni bt.

    B 3.20 3.59 Tt Sinh vin hiu su sc phn ln cc kin thc, v hon thnh phn ln cc bi tp tng i tt.

    C 2.50 3.19 Kh Sinh vin hiu tt phn ln kin thc, v hon thnh phn ln cc bi tp tng i tt.

    D 2.00 2.49 Trung bnh Sinh vin hiu v c kh nng p dng kin thc qua.

    F < 2.00 Yu Sinh vin hon thnh tt mt vi bi tp, nhng khng cc tiu chun cn thit qua.

    c xem xt nhn bng c nhn, sinh vin phi t c im s nm trong khong thch hp cho tng mun v phi t c s tn ch ti thiu. [Attachment 05.02.03].

    5.3 Vic nh gi s dng nhiu phng php khc nhau

    Khoa lun xc nh vic nh gi sinh vin c nh hng rt ln n cht lng hc tp v chun u ra. Khoa lun yu cu cc Thy, C cung cp phng php nh gi r rng trong cng chi tit mn hc [Attachment 05.03.01]. i hc Quc gia H Ni cng cng b quy tc nh gi, theo vic nh gi kt qu mn hc thng qua cc u im thng xuyn, gia k, cui k [Attachment 05.03.02]. C nhiu phng php nh gi c p dng cho im thng xuyn v gia k nh:

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 303

    1. nh gi trn lp: vic tham d lp hc thng xuyn, vic tham gia tho lun, lm bi tp. 2. Bi tp v nh 3. Hot ng nhm (d n nh hoc cc phn t c) 4. Bi tp ln, mini-test, quiz

    Tuy nhin, gio vin v sinh vin c th thng nht mt phng thc nh gi trc khi kt thc na hc k. Chi tit v phng thc nh gi cho mi mn hc c th xem trong cng chi tit mn hc [Attachment 05.03.03].

    Kha lun tt nghip c bo v trc hi ng do Ch nhim Khoa ch nh theo quy nh ca trng i hc Khoa hc T nhin, HQGHN [Attachment 05.03.04]. Thi tt nghip lun l thi vit.

    5.4 Vic nh gi sinh vin th hin chun u ra v ni dung chng trnh

    trng i hc Khoa hc T nhin (VNU-HUS), sinh vin c nh gi bng rt nhiu phng php t cc chun u ra.

    Kin thc v Ton hc: Cc bi thi v cc bi kim tra trn lp c s dng bo m vic hc tp v tch hp kin thc ca sinh vin; cc bo co thc tp, cc bi thuyt trnh m bo sinh vin c kh nng vit vn phong khoa hc

    T duy phn tch phn bin c nh gi thng qua cc k thi vit, c bi kim tra trn lp cng nh cc bi tp ln bao gm thuyt trnh, gii bi ton v cc d n nghin cu.

    K nng p dng cc vn ton hc vo thc t cuc sng: K nng ny c nh gi thng qua vic gii cc bi ton giu tnh thc t, cc d n nh.

    K nng mm: nh gi k nng mm, sinh vin c yu cu gii cc bi tp trong yu cu cc k nng nh lm vic nhm, thuyt trnh. hon thnh tt cc bi tp ny sinh vin cn cn cc k nng khc nh k nng gii bi ton, kh nng t hc, t duy phn bin, kh nng hon thnh ng thi hn, kh nng tng thch, kh nng lm vic vi p lc ln. Mt s t cc bi tp nh gi cc k nng chung ca sinh vin nh k nng tm kim thng tin, k nng lm trnh chiu.

    Thi : Vic im danh thng xuyn s nh gi thi ln lp ca sinh vin v kt qu im danh cng l tiu chun sinh vin c xem xt tham d k thi cui k.

    Phng php nh gi chi tit ca mi mn hc c quy nh trong khung chng trnh chi tit [Attachment 05.04.01].

    5.5 Cc tiu chun nh gi rt r rng v c ph bin rng ri

    Cc sinh vin c thng bo v cc yu cu ca chng trnh Ton hc, cc yu cu ny sinh

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 313

    vin c th xem trong k hoch hc tp c pht cho sinh vin hoc hi thng tin t c vn hc tp hoc xem trong s tay hc sinh, sinh vin [Attachment 05.05.01]. Sinh vin cng c th vo trang web ca nh trng www.hus.vnu.edu.vn ly thng tin.

    VNU-HUS , cc sinh vin c nh gi trn hai tiu ch: nh gi v hnh kim v nh gi v hc tp. Trong mc 3 ca cc quy nh v sinh vin ca VNU, vic nh gi hnh kim ca sinh vin c da trn cc tiu ch sau [Attachment 05.05.02]

    nh gi im

    1. Ni quy hc tp 0 - 30

    2. Tun th ng cc quy nh ca VNU 0 25

    3. thc tham gia cc hot ng tp th 0 -20

    4. thc ni cng cng 0 -15

    5. Tham gia gip trong cc lp hc, nhm, cu lc b hoc t c nhng kt qu cao trong khoa hc trong nm hc

    0 -10

    Tng 100

    Cc sinh vin phi hon thnh t nht 35 tn ch (nm 1), 70 tn ch (nm 2), 105 tn ch (nm 3) v 138 tn ch (nm 4) c c Bng c nhn. Cn t c s im t nht l 40% trong cc nm 1, 2 v 3; v cn phi qua c tt c cc mn hc [Attachment 05.05.03].

    i vi mi mn hc, cc tiu chun nh gi c ghi r trong cng chi tit mn hc v c thng bo cho sinh vin vo u hc k. Cc tiu chun nh gi ny l m, sinh vin c c hi tho lun v cng gio vin thng nht a ra mt phng php/tiu chun nh gi ph hp trong tun u tin ca kha hc [Attachment 05.05.04].

    i vi kha lun tt nghip v k thi tt nghip, cc tiu chun nh gi cng rt r rng v c thc hin thng qua cc biu im, cc biu im ny c ph bin ti tt c gio vin lin quan vic nh gi c chnh xc, tin cy [Attachment 05.05.05; Attachment 05.05.06].

    5.6 Cc phng php nh gi bao trm c mc tiu ca chng trnh ging dy

    Cc phng php nh gi c p dng vo chng trnh Ton hc nhm t c cc mc tiu ca chng trnh bao gm kin thc, k nng v thi . Cc k thi vit c thit k kim tra kin thc ca sinh vin cng nh mt s k nng. Bi tp ln, thuyt trnh nhm kim tra kh nng tm kim thng tin, t chc thng tin v k nng p dng kin thc ton hc gii quyt cc bi ton thc t. Cc phng php v tiu chun nh gi c xc nh trong khung chng

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 323

    trnh [Attachment 05.06.01].

    5.7 Cc tiu chun c s dng trong vic nh gi rt r rng v ph hp

    Tt c sinh vin c thng tin v chng trnh, thi kha biu, m t mn hc, v phng php nh gi u mi k hc. Chi tit v vic nh gi c cung cp trong Tiu ch nh gi vic ging dy v hc tp i hc ca trng i hc Quc gia H Ni c thng qua vo ngy 26 thng 10 nm 2010 [Attachment 05.07.01] v Tiu ch v cng tc sinh vin trng i hc Quc gia H ni) c ban hnh ngy 8 thng 8 nm 2009 [Attachment 05.07.02].

    im trung bnh v nh gi hnh kim c tnh nh sau:

    R =ri .

    i=1

    N nini

    i=1

    N

    Trong R l im nh gi hnh kim; ri l im nh gi hnh kim trong nm th i; ni l h s ca nm th i; N l s nm hc.

    im trung bnh hc tp c tnh nh sau:

    A =ai .

    i=1

    N nini

    i=1

    N

    Trong A l im trung bnh (GPA) trong mt k hc; h s i l s th t mn hc, ai l im cui cng ca mn hc c ni tn ch; N l tng s mn hc trong mt k hoc s mn hc tch ly c [Attachment 05.07.03].

    TIU CHUN 6: CHT LNG I NG GING VIN

    6.1. i ng ging vin c nng lc thc hin nhim v

    Khoa Ton C Tin hc, HKHTN-HQGHN c mt truyn thng lu di trong nn gio dc ton hc VN. Khoa c thnh lp nm 1956 v bt u cc hot ng o to v nghin cu Ton hc k t . Khoa c i ng ging dy c th ni l tt nht Vit Nam. Nhng gio s tng bt u ging dy th h sinh vin ton u tin trong Khoa l cc nh ton hc hng u ni ting Vit Nam nh L Vn Thim, Hong Ty, Phan c Chnh, Nguyn Tha Hp, Phm Ngc Thao Trong nhng nm 2000-2010, khoa tri qua mt s chuyn i th h. Trong sut giai on ny, nhiu gio s v ging vin giu kinh nghim v ngh hu. i ng ging dy c thay th bng cc nh ton hc tr ti nng c o to v nhn bng TS cc nc tin tin nh Hoa K, c, Php, Anh, Nht Bn Cc ging vin tr ny u c nhit huyt v hoi bo. i ng ging dy hin ti ca Khoa c nng lc v sc duy tr s lin

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 333

    mch v n nh ca hot ng ging vin cng nh vic trin khai chng trnh o to mt cch c hiu qu v y . Khoa c phn thnh by b mn: Ton hc tnh ton v Ton ng dng, i s - Hnh hc T p, Gii tch ton hc, C hc, Xc sut Thng k, Ton Sinh thi v Mi trng v Tin hc. Ch nhim mi b mn l mt gio s hoc ph gio s giu kinh nghim, ngi chu trch nhim v nh hng cho cc hot ng khoa hc ca b mn mnh. Danh sch i ng ging vin km theo hc v, h s v lnh vc nghin cu c cung cp trong phn [Attachment 06.01.01]. Ngoi ra xin xem ti trang web ca Khoa http://mim.hus.edu.vn. Cc im chnh gm: - i ng ging vin gm cc gio s v ging vin c o to bi bn v c kin thc v chuyn mn xut sc. Hu ht (90%) cc ging vin v tr chnh thc c bng TS do cc trng c th hng cao Nga, Ba Lan, Hungary (trc y), Nht Bn, Php, c, Hoa K, Anh cp. c bit, c hai gio s xut sc c o to hon ton trong nc, nhn hc v TS v TSKH i hc Tng hp H Ni trc y. - Cc ging vin c kh nng s phm v c kinh nghim truyn th kin thc mt cch hiu qu. Tt c ging vin c v tr chnh thc/ di hn u c chng ch v phng php lun dy hc v s phm. y l yu cu bt buc i vi tt c cc ging vin mun c hp ng di hn. -Cc ging vin c hoi bo ngh nghip. H tch cc tham gia nghin cu v cng b cng trnh trong cc tp ch ton hc quc t [Attachment 06.01.02; Attachment 06.01.03]. Mt s ging vin c kinh nghim c bi bo cng b trong cc tp ch c th hng cao nh AMS Transaction, Advances in Mathematics, Mathematische Annalen, Journal of Differential Equations, SIAM Numerical Analysis Mt vi ngi cn tham gia vi t cch l bin tp v phn bin thng xuyn cho cc tp ch ton hc quc t. Cc ging vin c khuyn khch v h tr cho i o to thm v ging dy v nghin cu. [Attachment 06.01.04]. Sau khi nhn hc v TS, cc ging vin tr c khuyn khch lm nghin cu sau TS nc ngoi. -Nhiu gio s v ging vin c mi ti cc trng i hc v vin nghin cu quc t ging dy v tin hnh nghin cu chung. [Attachment 06.01.05]. Mt s hc bng nghin cu v gii thng c trao cho cc ging vin ca Khoa. Mt khc, ban gim hiu trng v ban ch nhim Khoa thc r vic tuyn dng ging vin cht lng cao l mt trong nhng nhim v quan trng nht. Tun th Hng dn tuyn dng ca VNU, 2005 [Attachment 06.0106], hng dn tuyn dng VNU, 2010 [Attachment 06.01.07] v Quy ch tuyn dng v o to ging vin ti VNU [Attachment 06.01.08], Khoa TCT tuyn dng c i ng chuyn mn gii, c kh nng hon thnh nhim v ging dy v nghin cu [Attachment 06.01.09]. V vy, i ng ging vin cn c cc phm cht v kh nng sau: - C hc v TS chuyn ngnh Ton/Ton ng dng hoc cc ngnh lin quan nh C hc, Khoa hc my tnh. - C trch nhim vi kha hc v chng trnh o to. - C k lut lm vic tt, c kh nng thu nhn kin thc c gi tr v kh nng th hin nng lc trong vic tin hnh nghin cu khoa hc. - C kh nng ng dng cc phng php dy v hc khc nhau v la chn phng php thch hp nht. - C kh nng s dng nhiu cch nh gi thnh tch ca sinh vin ph hp vi chun u ra ca chng trnh. - C nng lc ng gp vo vic thc hin thnh cng s mnh v mc ch ca Khoa cng

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 343

    nh kim sot c cc hot ng ging dy ca mnh. - C kh nng tin hnh cc hot ng nghin cu ring. Nh vy, i ng ging vin ca Khoa c nng lc thc hin nhim v.

    6.2. C ging vin ging dy chng trnh o to

    Trong nm hc 2012-2013, Khoa Ton C Tin hc c 74 cn b, vi 45 cn b c tuyn dng di hn [Attachment 06.02.01], 5 gio s v 15 PGS, 3 TSKH v 42 TS (42/45 cn b tuyn dng di hn c hc v TS). 29 ging vin tr l nhng sinh vin tt nghip i hc vi kt qu xut sawxc, hu ht trong s hon thnh chng trnh cao hc v hin ang tip tc lm NCS. i ng ging vin ging dy chng trnh o to, xem Bng 6.1 v mc 6.1. Cc ging vin cng m nhn vic dy Ton cho sinh vin cc ngnh khc v cc trng thnh vin khc trong VNU. Thm vo , Khoa thng xuyn mi cc GS, PGS ngh hu tip tc tham gia ging dy. c c s lng ch mn hc a dng, Khoa cng mi nhiu chuyn gia c la chn k lng t cc c s khc HN nh Vin Ton, Trng H Bch khoa, HSP HN tham gia ging dy cc chuyn nng cao cho sinh vin nm cui [Attachment 06.02.02]. Trong khun kh chng trnh tin tin ngnh Ton hc, hng nm Khoa cng mi 5 dn 6 GS nc ngoi n thm v ging bi [Attachment 06.02.03]. i tng v phm vi ging dy v nghin cu ca i ng ging vin c nu trong [Attachment 06.02.04], bao gm Ton hc tnh ton, i s - Hnh hc T p, Gii tch ton hc, Phng trnh Vi phn v Tch phn, Ton hc trong c hc, Xc sut Thng k, Ton Sinh thi v Mi trng v Tin hc. Vi mi mn hc ct li, Khoa c t nht 4 ging vin c th ging dy c, vi mn hc nng cao c t nht hai ngi dy [Attachment 06.02.05] Thng thng cc ging vin l TS dy cc bui l thuyt cn ging vin tr dy cc gi bi tp v thc hnh tin hc. Danh sch cc ging vin ging dy cc mn hc trong nhng nm gn y c a trong [Attachment 06.02.06].

    Bng 6.1 . S lng ging vin (Thng 3, 2013)

    Total Category Male Female People FTEs* Percentage of

    PhDs

    Professors 5 0 5 5 100%

    Associate Professors 15 0 15 15 100%

    Full-time lecturers 23 2 25 25 88%

    Junior lecturers 17 12 29 29 0%

    Visiting professors 27 0 27 5.4 100%

    Total 87 14 101 79.4 68.3%

    FTEs stands for full-time equivalents Bng 6.2. T l ging vin/sinh vin v ging vin/sinh vin tt nghip

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 353

    Total FTE of teaching staff

    Number of students

    Number of graduates

    Number of students per FTE of teaching staff

    Number of graduates per FTE of teaching staff

    79.4 320(960) 80(240) 4.0(12.0) 1.0(3.0)

    Number of students majored in mathematics (Total number of students) C hai vn nh lin quan n thc trng nhiu GS v ngh hu trong khong 10 nm qua. D hin ang c 9-10 GS, PGS vn ang tch cc nghin cu ( tm quc t), Khoa cn thm nhiu ging vin giu kinh nghim sc ng vai tr lnh o nhm, tc l nhng ngi c kh nng thnh lp cc nhm nghin cu ring tm quc t. Hn na, l mt trng i hc cng lp, lng v chnh sch i ng cho ging vin b hn ch nn kh c th thu ht ging vin gii, c bit nhng ngi hin ang lm vic nc ngoi. Tuy hin, chng ti vn lc quan v tng lai v tin tng vo i ng ging vin tre v ti nng ca mnh. Sau 5 nm na, h s c thm kinh nghim v s tr thnh ging vin trnh quc t.

    6.3. Vic tuyn dng v b nhim da trn thnh tch ging dy v nghin cu

    Tuyn dng theo hng dn v Quy ch ca VNU nm 2005, hng dn tuyn dng VNU nm 2010 [Attachment 06.03.01] v Quy ch tuyn dng v o to ging vin ti VNU [Attachment 06.03.02], Khoa tuyn dng ging vin c cht lng vo cc v tr di hn. ng vin phi c hc v TS do mt trng i hc c cht lng cp vi cng b quc t. Hi ng tuyn dng thng xem xt kt qu hc tp v th gii thiu ca cc ng vin. ng vin dc yu cu trnh by nghin cu ca mnh trong mt bui x-mi-na. Trong bui trnh by , nng lc chuyn mn v kh nng ging dy ca ng vin cng s c nh gi. Vi cc v tr ngn hn cho ging vin tr, ng vin phi c bng Thc s hoc C nhn vi im trung bnh t 8.0/10 tr ln. [Attachment 06.03.03]. Hi ng tuyn dng Khoa xem xt cc h s rt k lng. [Attachment 06.03.04].

    B nhim: Theo hng dn tuyn dng, nu mt ging vin tr nhn c hc v TS, ngi c th np n xin chuyn sang mt v tr di hn v s c hi ng tuyn dng phng vn k [Attachment 06.03.5]. Vi cc chc danh GS/PGS quy ch ca hi ng cp nh nc c p dng [Attachment 06.03.06]. Quy ch c cc yu cu v cc hot ng v thnh tu ging dy v nghin cu.

    PGS: ng vin phi c hc v TS trong lnh vc c lin quan. Yu cu kinh nghim ging dy t 6 nm tr ln (vi t nht 3 nm mc sau tin s). ng vin phi th hin c nng lc nghin cu cao vi nhiu cng b quc t c nh gi MathSciNet, tham gia hai ti nghin cu vi t cch l nghin cu vin ch cht, hng dn thnh cng 2 lun vn thc s v s dng thnh tho ting Anh (hoc mt ngoi ng khc).

    GS: ng vin phi c hc v TS trong lnh vc c lin quan, c kinh nghim ging dy t 9 nm tr ln (vi t nht 6 nm sau khi nhn c hc v tin s v 3 nm sau khi c phong PGS). ng vin phi th hin c nng lc nghin cu xut sc vi nhiu cng b quc t c nh gi MathSciNet, hng dn thnh cng t nht 2 lun n TS v s dng thnh tho ting Anh (hoc mt ngoi ng khc).

    ng vin phi np n n Hi ng chc danh v khi nhn c chc danh, ngi s c b nhim da trn gii thiu ca Hi ng ca Khoa [Attachment 06.03.07]. Kt thc mi nm hc, tt c cn b ging dy c nh gi da trn thnh tch ging dy v nghin cu. H cng c bnh bu nhn cc gii thng v danh hiu [Attachment 06.03.08].

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 363

    Vic nng bc lng ca cn b c xt da trn thnh tch ca cn b trong 2 hoc 3 nm lin tip.

    6.4. Cc vai tr v quan h gia cc ging vin c xc nh r v hiu r

    VNU-HUS ban hnh cc quy ch xc nh chc nng, vai tr v ngha v ca tt c cn b ging dy [Attachment 06.04.01]. Ngoi ra, Chnh ph cng c cc quy nh v chc nng v vai tr ca ging vin [Attachment 06.04.02].

    Tt c nhng ngi np n vo bt k v tr no, bt k l ging vin hay i ng h tr, u phi c cc quy nh , v tr thnh vin chc, h phi vt qua mt k thi trong c phn kim tra vic nm vng cc quy nh .

    trong Khoa, v mc thp hn l B mn, vai tr v mi quan h gia cc cn b c xc nh v hiu r. ng u Khoa l Ch nhim v 3 Ph ch nhim Khoa. Ch nhim Khoa chu trch nhim v mi hot ng chung ca Khoa v cng i din cho Khoa bn ngoi Khoa. Ba PCN Khoa ph trch cc mng nghin cu, ging dy v ti v. Vn phng Khoa c 6 cn b tr gip vic iu hnh v qun l nghin cu, ging dy v ti v.

    i ng ging vin ca Khoa c phn thnh by b mn: Ton hc tnh ton v Ton ng dng, i s - Hnh hc T p, Gii tch ton hc, C hc, Xc sut Thng k, Ton Sinh thi v Mi trng v Tin hc. Ch nhim mi b mn l mt gio s hoc ph gio s giu kinh nghim, ngi chu trch nhim v nh hng cho cc hot ng khoa hc ca b mn mnh. Nhim k ca ch nhim b mn l 5 nm. mi b mn, cc ging vin ln tui c vai tr rt quan trng. H thng chia s kinh nghim qu bu ca mnh cho cc ging vin tr qua cc bui x-mi-na. Trong thi gian tp s ca ging vin mi c tuyn dng tc l nm u tin vo hp ng, cc ging vin ln tui c giao gip ging vin tr trong vic chun b ging dy. Mi hc k h tham gia d gi ca ging vin tr khong 2-3 ln. Cui bui d gi, h thng gp ging vin tr ci thin cng tc ging dy. Ngoi ra, cc bui x-mi-na v hi tho v phng php ging dy c thng xuyn t chc cho ging vin tr [Attachment 06.04.03].

    6.5. Vic phn b nhim v ph hp vi trnh , kinh nghim v k nng

    Nhim v c phn b cho ging vin da trn trnh , kinh nghim v k nng ca h. Ch nhim Khoa phi l mt PGS tr ln, cn PCN Khoa phi c hc v t TS tr ln vi 8-10 nm kinh nghim lm vic v th hin c kh nng lnh o khi cn lm lnh o b mn. Ch nhim b mn t nht phi l GS/PGS v c la chn cn thn. H phi l cc ging vin c kinh nghim v l chuyn gia hng u trong cc lnh vc ca bn mn.

    Nhim v ca ging vin cng c phn loi r da trn trnh , kinh nghim v k nng. Ch cc ging vin c kinh nghim hoc c hc v TS mi c phn cng ging dy cc tit l thuyt v cc mn hc nng cao. Ging vin tr c giao cc lp bi tp hoc thc hnh my tnh [Attachment 06.05.01]. Hn na, ch cc ging vin c bng cao hc tr ln vi t nht 3 nm kinh nghim mi c hng dn sinh vin lm kha lun tt nghip v ti nghin cu [Attachment 06.05.02].

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    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 373

    6.6. Qun l thi gian v cc hnh thc khuyn khch c thit k h tr cht lng dy v hc

    Theo quy ch VNU [Attachment 06.06.01; Attachment 06.06.02] thi gian lm vic chun ca cn b ging dy c a ra trong Bng 6.3

    Bng 6.3. Khi lng cng vic ca ging vin

    Supervising students Position Full-Time Equivalent

    Teaching hours

    Research hours Undergraduate Master Ph.D

    Professor 40 h/wk 320 h/y 600 h/y 5-7 1-5 1-3

    Assoc. Prof. 40 h/wk 300 h/y 500 h/y 3-5 1-4 1-2

    Lecturer 40 h/wk 280 h/y 400 h/y 1-4 1-3 1-2

    Administrative 40 h/wk - - 0 0 0

    Hin ti, cc ging vin tr dy trung bnh 180 gi/nm, cn b lu nm dy 240 gi/nm [Attachments 06.06.03]. Cc mn hc ca chng trnh ngnh Ton hc do cc ging vin c kinh nghim v c tuyn la cn thn ging dy [Attachments 06.06.04]

    C nhiu hnh thc khuyn khch h tr cht lng dy v hc. Ging vin c nhiu c hi o to chuyn ngnh. Cc ging vin tr c khuyn khch ci thin k nang ging dy v giao tip. Nh trng c cc lp hc ting Anh min ph cho ging vin tr. Nh c chng trnh tin tin ngnh ton, mi nm c khong 6-8 ging vin thc tp trng i hc Washington Seattle trong thi gian mt hc k vi t cch l hc gi (d gi, tham gia nghin cu) [Attachment 06.06.05]. h tr cht lng hc tp, cc chng trnh c nhn ti nng (khi u nm 1997) [Attachment 06.06.06.] v chng trnh tin tin ngnh ton (bt u nm 2008) [Attachment 06.06.07] chng t c tnh hiu qu. Ngoi ra, chng trnh trng im quc gia pht trin ton hc giai on 2010-2012 cung cp nhiu hnh thc h tr c cho ging vin v sinh vin.

    6.7. Quy nh r trch nhim ca ging vin.

    VNU quy nh r trch nhim v ngh nghip v o c ca cn b [Attachment 06.07.01; Attachment 06.07.02]:

    Trch nhim ngh nghip:

    - Chp hnh php lut v quy ch VNU.

    - Cam kt vi nhim v v tm nhn ca VNU

    - Hon thnh cc hot ng v ging dy cng nh nghin cu (vit bi bo cho cc tp ch khoa hc, tham gia cc bui hi tho trong v ngoi nc, t chc cc hi ngh v hi tho. Tm kim cc ngun ti tr v hp tc vi cc vin nghin cu, tham gia cc kha hc nng cao trnh ; gip ng nghip; vit chng trnh hc; v cng tc trong trng, cc ban v cc hot ng on th khc.

    - T nh gi cc nhu cu hc tp ca bn thn v pht trin cc k hoch v chuyn mn

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 383

    hng nm.

    - Tham gia vo cc hot ng pht trin chuyn mn khoa, u ban v cc cp khc.

    - Hng n cc vn kh, chia x cc tng v tham gia vo cc cng vic trong cc bui hp nhm.

    Trch nhim v o c:

    V trch nhim o c ng vai tr trung tm trong cch ng x, cn b Khoa phi hnh x v li ch ti a ca sinh vin nhm to iu kin thun li cho h hc tp hiu qu.

    Trch nhim i vi sinh vin:

    - i x cng bng v tn trng vi tt c sinh vin.

    - Khuyn khch sinh vin t do trao i suy ngh.

    - C gng m bo cng bng trong vic nh gi kt qu hc tp ca sinh vin.

    - Cng bng v khch quan khi cung cp ti liu tham kho cho sinh vin.

    - Cm tit l thng tin v sinh vin thu thp c khi lm vic tr khi vic lm nhm phc v mt phc ch ngh nghip c l do tha ng hoc theo yu cu ca php lut v quy ch ca VNU.

    - C trch nhim ging dy ng thi kha biu, duy tr thi gian tip sinh vin v cung cp cc phng tin thch hp cho sinh vin c th tip cn vi cc thng tin ca mn hc.

    Trch nhim vi ng nghip:

    - i x cng bng v tn trng ln nhau, hnh x ng hong v c chng mc trong mi trao i vi ng nghip.

    - Bo v quyn t do hc thut ca ng nghip.

    - Cng bng v khch quan khi trnh by nh gi chuyn mn v cng vic ca ng nghip v khng c c a ra cc tuyn b sai hoc c v ng nghip, v nh gi c tnh ph bnh l mt phn khng th thiu trong hot ng hc thut.

    - Trnh s dng cc hnh vi hoc ngn t c tnh da nt hay lm dng, quy nhiu v e da bng li vi thnh vin khc trong Khoa, trong bt k tnh hung no trong khun vin ca trng.

    V k lut:

    - Duy tr s hin din trong lnh vc hc thut

    - Th hin s trung thc v thng nht v tri thc trong mi n lc hc thut.

    - Lm vic hng ti vic nng cao cht lng ging dy.

    - Khng c ch bai nhng ngnh khc hay lm xi mn lng tin ca sinh vin vo cc ngnh c ph duyt hay cc khoa khc trong trng.

    i vi trng:

    - ng gp cho cng ng trong trng.

  • BO CO T NH GIA

    ` Khoa Ton C Tin hc, trng i hc Khoa hc T nhin 393

    - m bo quyn li cho VNU v Khoa, bao gm c vic tham gia cng tc iu hnh v qun l ca VNU qua vic tham gia cc y ban, t chc nhng cp khc nhau.

    - m nhn trch nhim t tm hiu v chp hnh cc chnh sch ra cc cng vic trong Khoa c tin hnh c trt t.

    - Trnh xung t quyn li tim n, ???

    - Trnh dnh lu n nhng hot ng chuyn ngnh bn ngoi trng c xung t vi trch nhim v ngha v do VNU phn cng.

    Vi cng ng: Trong vai tr i din cho VNU v khoa, trnh din t sai cc kin c nhn thnh quan im ca VNU hay cc n v trc thuc.

    6.8. C cc iu khon v nh gi, t vn v b tr li ging vin

    qun l v tn dng c hiu qu i ng cn b ging dy, Trng v Khoa thit lp chng trnh c vn, cc s nh gi ca sinh vin, nh gi thng nin v cc iu khon tham kho cho ging vin.

    Cui mi nm hc, mi sinh vin s nhn c phiu thm d a ra nh gi v cng vic ca ging vin. Cc cu hi ngh sinh vin cho kin phn hi v mi kha cnh, bao gm c vic chun b bi, thi trn lp, cch truyn t Phiu thm d c thu li v c phng kim nh cht lng x l. Cc thng k (km theo nhng lu quan trng) c chun b cho tng mn hc v gi n tay ging vin. iu ny nhm n vic nh gi ging vin kp thi can thip cng nh gip ngi dy xc nh c im mnh v im yu ca mnh pht huy hoc khc phc.

    Cc bo co t nh gi ca ging vin v hot ng ging dy v nghin cu c thc hin hng nm nhm phc v vic nh gi khen thng, xt nng bc lng hoc lun chuyn/ phn cng cng tc, iu ny gip nng cao ng lc theo hng t c hiu qu cao hn trong cng tc ging dy ca i ng ging dy [Attachment 06.08.01]. Trong cc cuc hp b mn t chc mi nm hai ln vo cui hc k, thnh tch ca tng ging vin c cc ging phn khc tho lun v phn tch. Cc ng nghip c kinh nghim lun a ra cc gi hoc li khuyn hu ch. Hn na, da trn nhng bo co , thnh tch ca cn b Khoa c xem xt nh gi vo cui nm hc, t cn b c th c trao tng cc danh hiu thi ua v c th c bt hoc c ngh k hp ng di hn hoc tng lng.

    6.9. Vic chm dt hp ng, ngh hu, phc li x hi c ln k hoch v thc hin tt

    Ti thi im kt thc hp ng, mi ging vin tr phi vit mt bn t nh gi. Ch nhim b mn v ch nhim khoa ly kin cc ng nghip c kinh nghim khc v xut vi phng T chc cn b v vic gia hn hp ng [Attachment 06.09.01]. Tip , phng t chc cn b nh gi k lng thnh