數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件

數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介中國(guó)薊觀(guān)次學(xué)言方榮數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介1數(shù)學(xué)的重要性數(shù)學(xué)建模競(jìng)賽的歷史、CUMCM歷年賽題的分析四、如何成功參加數(shù)學(xué)建模競(jìng)賽五、為何要參加數(shù)學(xué)建模競(jìng)賽結(jié)束語(yǔ)數(shù)學(xué)的重要性2數(shù)學(xué)的重要性:眾所周知?馬克思:門(mén)科學(xué)只有成功地運(yùn)用數(shù)學(xué)時(shí)才算達(dá)到了完善的地步E.E.DavidJr:(NoticesofAMS,v31,n2,1984,P142)現(xiàn)今被如此稱(chēng)頌的“高技術(shù)”本質(zhì)上是數(shù)學(xué)技術(shù)■資深評(píng)估小組對(duì)美國(guó)數(shù)學(xué)科學(xué)的國(guó)際評(píng)估報(bào)告(NSFReport,March2019)現(xiàn)如今的數(shù)學(xué)科學(xué)對(duì)科學(xué)的所有的三個(gè)方面觀(guān)察、理論和模擬來(lái)說(shuō)都是必不可少的。數(shù)盲和文盲一樣是極其有害的。數(shù)學(xué)的重要性:眾所周知?3數(shù)學(xué)的重要性:似是而非?不少同學(xué)(甚至社會(huì))的反映:無(wú)用-難學(xué)■原因:很少用;用不好既要學(xué)好“算數(shù)學(xué)”,更要培養(yǎng)“用數(shù)學(xué)”的能力利用計(jì)算機(jī)和數(shù)學(xué)軟件,培養(yǎng)分析、思考能力感受“用數(shù)學(xué)”的酸甜苦辣,激發(fā)學(xué)好數(shù)學(xué)的愿望最常用的大學(xué)數(shù)學(xué)內(nèi)容有哪些?數(shù)學(xué)的重要性:似是而非?4數(shù)學(xué)的二級(jí)學(xué)科(研究生專(zhuān)業(yè)■純粹數(shù)學(xué)(PureMath)-基礎(chǔ)/核心Core)數(shù)學(xué)?■應(yīng)用數(shù)學(xué)(AppliedMath)■計(jì)算數(shù)學(xué)(ComputationalMath)■概率論與數(shù)理統(tǒng)計(jì)一隨機(jī)/統(tǒng)計(jì)數(shù)學(xué)?應(yīng)用數(shù)學(xué)■運(yùn)籌學(xué)(OR)與控制論-運(yùn)籌數(shù)學(xué)?應(yīng)用數(shù)學(xué)Core應(yīng)用數(shù)學(xué)具體應(yīng)用學(xué)科具體應(yīng)用學(xué)科數(shù)學(xué)的二級(jí)學(xué)科(研究生專(zhuān)業(yè)5數(shù)學(xué)建模:數(shù)學(xué)與實(shí)際問(wèn)題的橋梁MathematicalModeling實(shí)際問(wèn)題數(shù)學(xué)數(shù)學(xué)建模:應(yīng)用數(shù)學(xué)知識(shí)解決實(shí)際問(wèn)題的第一步數(shù)學(xué)建模:通常有本質(zhì)性的困難和原始性的創(chuàng)新(關(guān)鍵一步)PureMathvsAppliedMath:LogicvsProblemDriving源”(Motivation)遠(yuǎn)“流”(mpac)長(zhǎng)數(shù)學(xué)建模:數(shù)學(xué)與實(shí)際問(wèn)題的橋梁6數(shù)學(xué)模型(Mathematica|Model)和數(shù)學(xué)建模(Mathematca|Modeling)數(shù)學(xué)模型:對(duì)于一個(gè)現(xiàn)實(shí)對(duì)象,為了一個(gè)特定目的,作出必要的簡(jiǎn)化假設(shè),根據(jù)對(duì)象的內(nèi)在規(guī)律,運(yùn)用適當(dāng)?shù)臄?shù)學(xué)工具,得到的一個(gè)數(shù)學(xué)結(jié)構(gòu)。數(shù)學(xué)建模|現(xiàn)對(duì)象的信息表述數(shù)學(xué)模型的全過(guò)程(歸納)驗(yàn)求解(演繹現(xiàn)實(shí)對(duì)象的解答解釋一數(shù)學(xué)模型的解答數(shù)學(xué)模型(Mathematica|Model)和7數(shù)學(xué)模型舉例力學(xué)中著名的牛頓第二定律F=ma描述受力物體的運(yùn)動(dòng)規(guī)律>描述人口增長(zhǎng)規(guī)律的數(shù)學(xué)模型dN(t/dt=rN(t)揭示人口成等比級(jí)數(shù)的增長(zhǎng)的規(guī)律數(shù)學(xué)模型舉例8數(shù)學(xué):幾個(gè)層次的理解隨機(jī)數(shù)學(xué)數(shù)學(xué)美學(xué)代數(shù)與幾何數(shù)學(xué)哲學(xué)微積分?jǐn)?shù)學(xué)精神應(yīng)用數(shù)學(xué)數(shù)學(xué)技術(shù)數(shù)學(xué)實(shí)驗(yàn)數(shù)學(xué)知識(shí)數(shù)學(xué)應(yīng)用數(shù)學(xué)素質(zhì)數(shù)學(xué)技巧數(shù)學(xué)發(fā)現(xiàn)數(shù)學(xué)文化數(shù)學(xué):幾個(gè)層次的理解9數(shù)學(xué)建模競(jìng)賽的歷史數(shù)學(xué)建模競(jìng)賽的歷史10數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件11數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件12數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件13數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件14數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件15數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件16數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件17數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件18數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件19數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件20數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件21數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件22數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件23數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件24數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件25數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件26數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件27數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件28數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件29數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件30數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件31數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件32數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件33數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件34數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件35數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件36數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件37數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件38數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件39數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件40數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件41數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件42數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件43數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件44數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件45數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件46數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件47數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件48數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件49數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件50數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件51數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件52數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件53數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件54數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件55數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件56數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件57數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件58數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件59數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介中國(guó)薊觀(guān)次學(xué)言方榮數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介60數(shù)學(xué)的重要性數(shù)學(xué)建模競(jìng)賽的歷史、CUMCM歷年賽題的分析四、如何成功參加數(shù)學(xué)建模競(jìng)賽五、為何要參加數(shù)學(xué)建模競(jìng)賽結(jié)束語(yǔ)數(shù)學(xué)的重要性61數(shù)學(xué)的重要性:眾所周知?馬克思:門(mén)科學(xué)只有成功地運(yùn)用數(shù)學(xué)時(shí)才算達(dá)到了完善的地步E.E.DavidJr:(NoticesofAMS,v31,n2,1984,P142)現(xiàn)今被如此稱(chēng)頌的“高技術(shù)”本質(zhì)上是數(shù)學(xué)技術(shù)■資深評(píng)估小組對(duì)美國(guó)數(shù)學(xué)科學(xué)的國(guó)際評(píng)估報(bào)告(NSFReport,March2019)現(xiàn)如今的數(shù)學(xué)科學(xué)對(duì)科學(xué)的所有的三個(gè)方面觀(guān)察、理論和模擬來(lái)說(shuō)都是必不可少的。數(shù)盲和文盲一樣是極其有害的。數(shù)學(xué)的重要性:眾所周知?62數(shù)學(xué)的重要性:似是而非?不少同學(xué)(甚至社會(huì))的反映:無(wú)用-難學(xué)■原因:很少用;用不好既要學(xué)好“算數(shù)學(xué)”,更要培養(yǎng)“用數(shù)學(xué)”的能力利用計(jì)算機(jī)和數(shù)學(xué)軟件,培養(yǎng)分析、思考能力感受“用數(shù)學(xué)”的酸甜苦辣,激發(fā)學(xué)好數(shù)學(xué)的愿望最常用的大學(xué)數(shù)學(xué)內(nèi)容有哪些?數(shù)學(xué)的重要性:似是而非?63數(shù)學(xué)的二級(jí)學(xué)科(研究生專(zhuān)業(yè)■純粹數(shù)學(xué)(PureMath)-基礎(chǔ)/核心Core)數(shù)學(xué)?■應(yīng)用數(shù)學(xué)(AppliedMath)■計(jì)算數(shù)學(xué)(ComputationalMath)■概率論與數(shù)理統(tǒng)計(jì)一隨機(jī)/統(tǒng)計(jì)數(shù)學(xué)?應(yīng)用數(shù)學(xué)■運(yùn)籌學(xué)(OR)與控制論-運(yùn)籌數(shù)學(xué)?應(yīng)用數(shù)學(xué)Core應(yīng)用數(shù)學(xué)具體應(yīng)用學(xué)科具體應(yīng)用學(xué)科數(shù)學(xué)的二級(jí)學(xué)科(研究生專(zhuān)業(yè)64數(shù)學(xué)建模:數(shù)學(xué)與實(shí)際問(wèn)題的橋梁MathematicalModeling實(shí)際問(wèn)題數(shù)學(xué)數(shù)學(xué)建模:應(yīng)用數(shù)學(xué)知識(shí)解決實(shí)際問(wèn)題的第一步數(shù)學(xué)建模:通常有本質(zhì)性的困難和原始性的創(chuàng)新(關(guān)鍵一步)PureMathvsAppliedMath:LogicvsProblemDriving源”(Motivation)遠(yuǎn)“流”(mpac)長(zhǎng)數(shù)學(xué)建模:數(shù)學(xué)與實(shí)際問(wèn)題的橋梁65數(shù)學(xué)模型(Mathematica|Model)和數(shù)學(xué)建模(Mathematca|Modeling)數(shù)學(xué)模型:對(duì)于一個(gè)現(xiàn)實(shí)對(duì)象,為了一個(gè)特定目的,作出必要的簡(jiǎn)化假設(shè),根據(jù)對(duì)象的內(nèi)在規(guī)律,運(yùn)用適當(dāng)?shù)臄?shù)學(xué)工具,得到的一個(gè)數(shù)學(xué)結(jié)構(gòu)。數(shù)學(xué)建模|現(xiàn)對(duì)象的信息表述數(shù)學(xué)模型的全過(guò)程(歸納)驗(yàn)求解(演繹現(xiàn)實(shí)對(duì)象的解答解釋一數(shù)學(xué)模型的解答數(shù)學(xué)模型(Mathematica|Model)和66數(shù)學(xué)模型舉例力學(xué)中著名的牛頓第二定律F=ma描述受力物體的運(yùn)動(dòng)規(guī)律>描述人口增長(zhǎng)規(guī)律的數(shù)學(xué)模型dN(t/dt=rN(t)揭示人口成等比級(jí)數(shù)的增長(zhǎng)的規(guī)律數(shù)學(xué)模型舉例67數(shù)學(xué):幾個(gè)層次的理解隨機(jī)數(shù)學(xué)數(shù)學(xué)美學(xué)代數(shù)與幾何數(shù)學(xué)哲學(xué)微積分?jǐn)?shù)學(xué)精神應(yīng)用數(shù)學(xué)數(shù)學(xué)技術(shù)數(shù)學(xué)實(shí)驗(yàn)數(shù)學(xué)知識(shí)數(shù)學(xué)應(yīng)用數(shù)學(xué)素質(zhì)數(shù)學(xué)技巧數(shù)學(xué)發(fā)現(xiàn)數(shù)學(xué)文化數(shù)學(xué):幾個(gè)層次的理解68數(shù)學(xué)建模競(jìng)賽的歷史數(shù)學(xué)建模競(jìng)賽的歷史69數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件70數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件71數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件72數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件73數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件74數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件75數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件76數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件77數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件78數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件79數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件80數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件81數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件82數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件83數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件84數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件85數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件86數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件87數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件88數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件89數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件90數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件91數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件92數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件93數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件94數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件95數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件96數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件97數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件98數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件99數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件100數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件101數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件102數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件103數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件104數(shù)學(xué)建模競(jìng)賽簡(jiǎn)介課件1