1. 澶у︽暟瀛︿笓涓氬﹀摢浜涘唴瀹
1.璇劇▼鍚嶇О錛氳В鏋愬嚑浣旳nalyticGeometry鎬誨︽椂錛64鍛ㄥ︽椂錛4瀛﹀垎錛3寮璇懼︽湡錛氫竴淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭棤鍐呭圭畝浠嬶細銆婅В鏋愬嚑浣曘嬫槸瀛︾戝熀紜璇劇▼錛屾槸鎵鏈夋暟瀛︿笓涓氬強搴旂敤鏁板︿笓涓氱殑涓昏佺殑鍩虹璇俱
瀹冩槸鐢ㄤ唬鏁扮殑鏂規硶鏉ョ爺絀跺嚑浣曞浘褰㈡ц川鐨勪竴闂ㄥ︾戙
銆婅В鏋愬嚑浣曘嬪寘鎷鍚戦噺涓庡潗鏍囷紝杞ㄨ抗涓庢柟紼嬶紝騫抽潰涓庣┖闂寸洿綰匡紝鏌遍潰銆侀敟闈銆佹棆杞鏇查潰涓庝簩嬈℃洸闈錛屼簩嬈℃洸綰跨殑涓鑸鐞嗚轟笌浜屾℃洸闈㈢殑涓鑸鐞嗚虹瓑銆
2.璇劇▼鍚嶇О錛氭暟瀛﹀垎鏋愨厾-鈪MathematicalAnalysis鈪-鈪ｆ誨︽椂錛334鍛ㄥ︽椂錛4錛4錛6錛5瀛﹀垎錛18寮璇懼︽湡錛氫竴錛屼簩錛屼笁錛屽洓淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭棤鍐呭圭畝浠嬶細銆婃暟瀛﹀垎鏋愩嬫槸瀛︾戝熀紜璇劇▼錛屾槸鎵鏈夋暟瀛︿笓涓氬強搴旂敤鏁板︿笓涓氱殑絎涓鍩虹璇俱
瀹冩彁渚涗簡鍒╃敤鍑芥暟鍒嗘瀽鍜岃В鍐沖疄闄呴棶棰樼殑鏂規硶,鍩瑰吇瀛︾敓涓ヨ皚鐨勬娊璞℃濈淮鑳藉姏錛屼負瀛︿範鍏朵粬瀛︾戝犲畾鍩虹銆
3.璇劇▼鍚嶇О錛氶珮絳変唬鏁扳厾-鈪AdvancedAlgebra鈪-鈪℃誨︽椂錛198鍛ㄥ︽椂錛6錛5瀛﹀垎錛11寮璇懼︽湡錛氫簩錛屼笁淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭棤鍐呭圭畝浠嬶細銆婇珮絳変唬鏁般嬫槸瀛︾戝熀紜璇劇▼錛屾槸鎵鏈夋暟瀛︿笓涓氬強搴旂敤鏁板︿笓涓氱殑涓昏佺殑鍩虹璇俱
4.璇劇▼鍚嶇О錛氬父寰鍒嗘柟紼嫿rdinaryDifferentialEquation鎬誨︽椂錛72鍛ㄥ︽椂錛4瀛﹀垎錛4寮璇懼︽湡錛氫簲淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愰珮絳変唬鏁板唴瀹圭畝浠嬶細銆婂父寰鍒嗘柟紼嬨嬩綔涓轟竴闂ㄤ笓涓氬熀紜璇,鏄鏁板︾悊璁虹壒鍒鏄寰縐鍒嗗﹁仈緋誨疄闄呯殑閲嶈佹笭閬撲箣涓銆
5.璇劇▼鍚嶇О錛氬嶅彉鍑芥暟plexAnalysis鎬誨︽椂錛72鍛ㄥ︽椂錛4瀛﹀垎錛4寮璇懼︽湡錛氫簲淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愰珮絳変唬鏁板唴瀹圭畝浠嬶細銆婂嶅彉鍑芥暟銆嬫槸涓撲笟鍩虹璇撅紝鏄鍑芥暟璁烘柟闈㈢殑鍩虹璇劇▼錛屽畠鏄鏁板﹀垎鏋愮殑鍚庣戶璇劇▼銆
榪欓棬璇劇▼涓昏佸唴瀹規槸澶嶆暟涓庡嶅彉鍑芥暟,瑙ｆ瀽鍑芥暟,澶嶅彉鍑芥暟鐨勭Н鍒,瑙ｆ瀽鍑芥暟鐨勫籙綰ф暟琛ㄧず娉,瑙ｆ瀽鍑芥暟鐨勬礇鏈楀睍寮忓織瀛ょ珛濂囩偣,鐣欐暟鐞嗚哄強鍏跺簲鐢,鍏卞艦鏄犲皠,瑙ｆ瀽寤舵嫇鍜岃皟鍜屽嚱鏁般
6.璇劇▼鍚嶇О錛氭傜巼璁轟笌鏁扮悊緇熻鎬誨︽彙鎴氭椂錛90鍛ㄥ︽椂錛5瀛﹀垎錛5寮璇懼︽湡錛氫簲淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愰珮絳変唬鏁板唴瀹圭畝浠嬶細銆婃傜巼璁轟笌鏁扮悊緇熻°嬫槸涓撲笟鍩虹璇懼洟鍩嬶紝鏈璇劇▼鏄鍞涓涓闂ㄥ勭悊闅忔満鐜拌薄鐨勬暟瀛︾被蹇呬慨璇劇▼錛屾湰璇劇▼鐮旂┒闅忔満鐜拌薄鐨勭粺璁¤勫緥鎬у強緇熻℃帹鏂錛岃劇疆榪欎竴闂ㄨ劇殑鐩鐨勫湪浜庝嬌瀛︾敓鍒濇ユ帉鎻″勭悊闅忔満鐜拌薄鐨勫熀鏈鐞嗚哄拰鏂規硶錛屽苟鑾峰緱瑙ｅ喅鍜屽垎鏋愭煇浜涘疄闄呴棶棰樼殑鑳藉姏銆
7.璇劇▼鍚嶇О錛氬垵絳夋暟瀛︾爺絀禘lementaryMathematicsResearch鎬誨︽椂錛72鍛ㄥ︽椂錛4瀛﹀垎錛4寮璇懼︽湡錛氬叚淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愰珮絳変唬鏁板唴瀹圭畝浠嬶細銆婂垵絳夋暟瀛︾爺絀躲嬫槸涓撲笟鍩虹璇撅紝鍒濈瓑鏁板︾爺絀朵富瑕佸寘鎷鍒濈瓑浠ｆ暟鍜屽垵絳夊嚑浣曚袱閮ㄥ垎鍐呭癸紝瀹冩槸涓闂ㄥ彜鑰佽屽張鍏呮弧鐢熷懡鍔涚殑瀛︾戱紝鏄甯堣寖闄㈡牎鏁板︿笓涓氱殑蹇呬慨璇劇▼銆
闈㈠悜鏂拌劇▼鏀歸潻錛屾湰璇劇▼姣旇緝緋葷粺鍦伴槓榪頒簡鍒濈瓑鏁板︾殑鍩虹鐞嗚猴紝鍏朵腑鍖呮嫭 *** 涓庨昏緫銆佹暟涓庡紡鐨勭悊璁恆佸嚱鏁般佹柟紼嬩笌涓嶇瓑寮忕殑鐞嗚恆佸叕鐞嗗寲鏂規硶涓庡浘褰㈢殑婕旂粠鎺ㄧ悊銆佸嚑浣曞彉鎹銆佸嚑浣曠殑鍚戦噺緇撴瀯鍙婂潗鏍囨硶銆佹帓鍒楃粍鍚堜笌姒傜巼緇熻″垵姝ヤ互鍙婁腑瀛︽暟瀛﹁В棰樼瓥鐣ョ瓑鍐呭廣
8.璇劇▼鍚嶇О錛氳繎涓栦唬鏁癕odernAlgebra鎬誨︽椂錛72鍛ㄥ︽椂錛4瀛﹀垎錛4寮璇懼︽湡錛氬叚淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氶珮絳変唬鏁板唴瀹圭畝浠嬶細銆婅繎涓栦唬鏁般嬫槸涓撲笟鍩虹璇撅紝榪戜笘浠ｆ暟鏄榪戜唬鏁板︾殑閲嶈佸垎鏀銆
榪戜笘浠ｆ暟姣旇緝鍏ㄩ潰浠嬬粛浜嗙兢銆佺幆銆佸煙鐨勭悊璁哄強涓浜涘叿浣撶殑緹ゃ佺幆鍜屽煙銆
9.璇劇▼鍚嶇О錛氬疄鍙樺嚱鏁頒笌娉涘嚱鍒嗘瀽鎬誨︽椂錛72鍛ㄥ︽椂錛4瀛﹀垎錛4寮璇懼︽湡錛氬叚淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氶珮絳変唬鏁板唴瀹圭畝浠嬶細銆婂疄鍙樺嚱鏁頒笌娉涘嚱鍒嗘瀽銆嬫槸涓撲笟鍩虹璇撅紝鏄鏄鏁板﹀悇涓撲笟鐨勪竴闂ㄩ噸瑕佸垎鏋愬熀紜璇撅紝瀹冩槸瀛︾敓榪涗竴姝ュ︿範鍏跺畠鍒嗘瀽鏁板﹀垎鏀鍜岀戝︾爺絀跺繀涓嶅彲灝戠殑鍩虹鐭ヨ瘑錛岄氳繃瀹炲彉鍑芥暟閮ㄥ垎鐨勫︿範錛屽簲浣垮︾敓杈冨ソ鐨勬帉鎻℃祴搴︿笌縐鍒嗚繖涓鍩烘湰鐨勬暟瀛﹀伐鍏鳳紝鐗瑰埆鏄鏋侀檺涓庣Н鍒嗛『搴忕殑浜ゆ崲銆
騫朵笖鍦ㄤ竴瀹氱▼搴︿笂鎺屾彙闆嗙殑鍒嗘瀽鏂規硶銆
娉涘嚱鍒嗘瀽鏄瀛︿範鍜岀爺絀惰繎浠ｆ暟瀛︾殑綰綺規暟瀛︿笌搴旂敤鏁板︼紝鏁扮悊緇忔祹鏁板艱＄畻鍙婄幇浠ｅ伐紼嬫妧鏈鐞嗚恆
10.璇劇▼鍚嶇О錛氬井鍒嗗嚑浣暘ifferentialGeometry鎬誨︽椂錛54鍛ㄥ︽椂錛3瀛﹀垎錛3寮璇懼︽湡錛氫簲淇璇誨硅薄錛氶変慨棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愬父寰鍒嗘柟紼嬪唴瀹圭畝浠嬶細銆婂井鍒嗗嚑浣曘嬫槸緔犺川鎷撳睍璇懼岀毊鋩傜▼錛屾槸浠ユ暟瀛﹀垎鏋愪負涓昏佸伐鍏風爺絀剁┖闂村艦寮忕殑涓闂ㄥ︾戱紝鏄鍑犱綍瀛︾殑涓涓鍒嗘敮錛岀敱浜庡井鍒嗗嚑浣曡繖闂ㄥ︾戝湪縐戝︽妧鏈鍜屽叾浠栬嚜鐒剁戝︾殑棰嗗煙涓鏃ヨ秼騫挎硾鐨勬笚閫忓拰搴旂敤錛屽畠鐨勭敓鍛藉姏鑷充粖榪樺緢鏃虹洓錛屼粠鍐呭瑰拰鏂規硶涓婁笉鏂鏈夋墍鏇存柊銆
11.璇劇▼鍚嶇О錛氭嫇鎵戝Topology鎬誨︽椂錛54鍛ㄥ︽椂錛3瀛﹀垎錛3寮璇懼︽湡錛氬叚淇璇誨硅薄錛氶変慨棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愬唴瀹圭畝浠嬶細鎷撴墤瀛︽槸涓撲笟鎷撳睍璇劇▼錛屾槸鍩虹鎬х殑鏁板﹀垎鏀錛屽畠鐮旂┒鍑犱綍鍥懼艦鍦ㄨ繛緇鍙樺艦(鍗蟲嫇鎵戝彉鎹)涓嬩繚鎸佷笉鍙樼殑鎬ц川錛屽嵆鎷撴墤鎬ц川銆
鐩鍓嶏紝鎷撴墤瀛︾殑姒傚康銆佹柟娉曞拰鐞嗚哄凡緇忓箍娉涘湴娓楅忓埌鐜頒唬鏁板︿互鍙婇偦榪戝︾戠殑璁稿氶嗗煙錛屽苟涓旀湁浜嗘棩鐩婇噸瑕佺殑搴旂敤銆
12.璇劇▼鍚嶇О錛氭暟瀛︾墿鐞嗘柟紼婽鎬誨︽椂錛36鍛ㄥ︽椂錛2瀛﹀垎錛2寮璇懼︽湡錛氫竷淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愩侀珮絳変唬鏁般佸井鍒嗘柟紼嬪唴瀹圭畝浠嬶細銆婃暟瀛︾墿鐞嗘柟紼嬨嬫槸涓撲笟鎷撳睍璇劇▼銆
瀹冪患鍚堣繍鐢ㄥ墠鏈熸暟瀛︾煡璇嗚В鍐蟲湁鍏崇殑瀹為檯闂棰橈紝鏄鑱旂郴鏁板﹀緩妯″拰鏂圭▼闂棰樻眰瑙ｇ殑妗ユ併
涓昏佸唴瀹規湁涓夌被鏈閲嶈佺殑鍋忓井鍒嗘柟紼(Laplace鏂圭▼,鐑浼犲兼柟紼,娉㈠姩鏂圭▼)鐨勬暟瀛︽ā鍨嬪拰鍚勭嶅畾瑙ｆ潯浠剁殑鎻愬嚭錛涙眰瑙ｅ嚲寰鍒嗘柟紼嬬殑鍩烘湰鏂規硶錛氬垎紱誨彉閲忔硶銆佺Н鍒嗗彉鎹㈡硶錛團ourier鍙樻崲鍜孡aplace鍙樻崲錛夈佽屾嘗娉曘佸熀鏈瑙ｅ拰Green鍑芥暟娉曞拰涓ょ被鏈甯哥敤鐨勭壒孌娾旀熅鍑芥暟錛圔essel鏂圭▼銆丅essel鍑芥暟鎬ц川鍙婂簲鐢錛夊拰鐞冨嚱鏁幫紙Legendre鏂圭▼鍜孡egendre鍑芥暟鎬ц川鍜屽簲鐢錛夈
13.璇劇▼鍚嶇О錛氭暟瀛﹀緩妯MathematicalModeling鎬誨︽椂錛54錛18+36錛夊懆瀛︽椂錛1+2瀛﹀垎錛3寮璇懼︽湡錛氫簲淇璇誨硅薄錛氶変慨棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愶紝楂樼瓑浠ｆ暟錛屾傜巼璁轟笌鏁扮悊緇熻★紝璁＄畻鏂規硶鍐呭圭畝浠嬶細銆婃暟瀛﹀緩妯°嬫槸涓撲笟鎷撳睍璇劇▼銆
涓昏佸煿鍏誨︾敓緇煎悎榪愮敤鏁板︾煡璇嗚В鍐沖疄闄呴棶棰樼殑鑳藉姏涓庢剰璇嗐
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14.璇劇▼鍚嶇О錛氳繍絳瑰OperationalResearch鎬誨︽椂錛36鍛ㄥ︽椂錛2瀛﹀垎錛2寮璇懼︽湡錛氫竷淇璇誨硅薄錛氶変慨棰勪慨璇劇▼錛氶珮絳夋暟瀛︺佺嚎鎬т唬鏁板唴瀹圭畝浠嬶細銆婅繍絳瑰︺嬫槸緔犺川鎷撳睍璇劇▼錛屼富瑕佸唴瀹瑰寘鎷錛氳繍絳瑰︾畝鍙層佺嚎鎬ц勫垝涓庣洰鏍囪勫垝銆佹暣鏁拌勫垝銆侀潪綰挎ц勫垝銆佸姩鎬佽勫垝銆佸浘璁轟笌緗戠粶鍒嗘瀽銆佹帓璁洪槦綆浠嬨佸瓨璐璁恆佸圭瓥璁轟笌鍐崇瓥璁虹畝浠嬨
15.璇劇▼鍚嶇О錛氱繪暎鏁板DiscreteMathematics鎬誨︽椂錛54鍛ㄥ︽椂錛3瀛﹀垎錛3寮璇懼︽湡錛氫簲淇璇誨硅薄錛氶変慨棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愰珮絳変唬鏁板唴瀹圭畝浠嬶細銆婄繪暎鏁板︺嬫槸涓撲笟鎷撳睍璇劇▼錛屾湰璇劇▼鐨勭洰鐨勬槸浠嬬粛紱繪暎鏁板︾殑鍩烘湰姒傚康鍜屽師鐞嗭紝鎻愰珮瀛︾敓鎶借薄鎬濈淮鍜岄昏緫鎺ㄧ悊鐨勮兘鍔涖
16.璇劇▼鍚嶇О錛氳＄畻鏂規硶putingMethod鎬誨︽椂錛54鍛ㄥ︽椂錛3瀛﹀垎錛3寮璇懼︽湡錛氬叚淇璇誨硅薄錛氬繀淇棰勪慨璇劇▼錛氭暟瀛﹀垎鏋愩侀珮絳変唬鏁般佸井鍒嗘柟紼嬪唴瀹圭畝浠嬶細銆婅＄畻鏂規硶銆嬪張縐般婃暟鍊煎垎鏋愩嬶紝鏄涓撲笟鎷撳睍璇劇▼錛屾槸鐮旂┒鍚勭嶆暟瀛﹂棶棰樻眰瑙ｇ殑鏁板艱＄畻鏂規硶銆
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鐗╃悊涓撲笟鐨勬暟瀛﹁劇▼鏈夛細
1.鏁板︾墿鐞嗘柟娉
Mathematical
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