微積分上冊教學(xué)大綱

《微積分(I)》課程教學(xué)大課程名稱：微積分 分中文簡介:《經(jīng)濟(jì)數(shù)學(xué)基礎(chǔ)是國家教委審定的財(cái)經(jīng)類專業(yè)課程對培養(yǎng)積分(I)》又是《經(jīng)濟(jì)數(shù)學(xué)基礎(chǔ)》的最為的課程之一，它是經(jīng)濟(jì)管理類各專業(yè)邊際分析與彈性分析、中值定理、法則、函數(shù)單調(diào)性判別法、函數(shù)的極值與最值函數(shù)圖形的討論不定積分的概念與性質(zhì)基本積分換元積分法、英文簡介:ApprovedbytheEducationalDepartmentof,<TheMathematicFoundationofEconomicsisanimportantcourseinfinancialormanagementspecialty.Thiscoursecanyafundamentalroleforaneligiblecollegestudent,sotheimportanceofthecourseisapparentlyMeanwhile,CalculusIisoneofthemostimportantcoursein<TheMathematicFoundationofEconomics>.Thecourseismainlyconsistofthecontentsasbelow:realnumber,theconceptionoffunction,inversefunctioncompoundfunction,primaryfunction,somesimplefunctionsineconomics,thelimitofthenumberlist,thelimitoffunction,thevariationofinfinitesmallandtheoperationprinciplesoflimit,thecomparebetweenvariationsofinfinitesmallandtheapplication,thecontinuityoffunction,theconceptionofderivative,fouroperationprinciplesofderivativeandthefundamentalformulas,thederivativeofthecompoundfunction,thederivativeofconcealedfunctionandthehigher-orderderivative,differentialandtheapplication,boundysisandtheelasticityysisineconomics,mediantheorem,theL’HospitalPrinciple,thedistinguishofthefunctionmonotony,thepolevalueandthefurthestvalueoffunction,thediscussionofthefunctionfigure;theconceptionandthepropertiesofindefiniteintegral,fundamentalformulasofindefiniteintegral,variationexchangingindefiniteintegral,subsectionindefiniteintegral,rationalfunction’sindefiniteintegral.Etc.《經(jīng)濟(jì)數(shù)學(xué)基礎(chǔ)》是國家教委審定的財(cái)經(jīng)類專業(yè)課程，對培養(yǎng)財(cái)經(jīng)類院校各本課程是讓學(xué)生掌握微積分的基本理論、基本方法及其應(yīng)用，著重提高學(xué)生第一章函（一）了解反函數(shù)的概念,知道函數(shù)與其反函數(shù)的幾何關(guān)系,給定函數(shù)會(huì)求其反理解復(fù)合函數(shù)的概念,知道兩個(gè)(或多個(gè))函數(shù)能構(gòu)成復(fù)合函數(shù)的條件,掌第二節(jié)函數(shù)概念第三節(jié)反函數(shù)與復(fù)合函數(shù)第四節(jié)初等函數(shù)第五節(jié)簡單的經(jīng)濟(jì)函數(shù)（三）P44-50一,二,三、（四）限與了解極限的概念（N

M第二節(jié)函數(shù)的極限x趨于無窮（xxx）第六節(jié)函數(shù)的連續(xù)性P603,6;P714,5,7;P805(3)(6)(10)(14),7,8;P89(2)(7)(8);P943,5(1)(2)(6)(7);P1066,7,9.P113(13)(17)(20)(21),3,5,8第三章導(dǎo)數(shù)與熟練掌握基本初等函數(shù)的導(dǎo)數(shù)熟練掌握導(dǎo)數(shù)的四則運(yùn)算掌握反函數(shù)的導(dǎo)數(shù)，但該的證明不作要求熟練掌握復(fù)合函數(shù)的鏈?zhǔn)角髮?dǎo)，但該的證明不作要求了解高階導(dǎo)數(shù)的概念，掌握求二階、三階導(dǎo)數(shù)及某些簡單函數(shù)的n第三節(jié)復(fù)合函數(shù)求導(dǎo)法第四節(jié)第五節(jié)微分及其應(yīng)用第六節(jié)經(jīng)濟(jì)學(xué)中的邊際分析與彈性分析P1263,4,5;P132P137P1641(2)(4)(6)(8),4;P143P1445(1)(3),6;P1502(2)(7)(11)(14),3,4;P158第四章中值定理與導(dǎo)數(shù)的熟練掌握法則和各種未定式的定值方法第二節(jié)（L’Hospital）法1.（L’Hospital）法則。第三節(jié)函數(shù)單調(diào)性判別法1.函數(shù)單調(diào)性判別法

P1744,6;P1821(3)(7)(8)(11)(15);P1881(1)(5),2(2)(4),3;1(1)(7),3(1)(5),4,8,10;P2241(3)(5)(7),2(3)(4),4(2),5(1)第五章不定積第二節(jié)基本積分表第四節(jié)分部積分法1.P2332,3;P2351(4)(6)(8)(12),3,4;P2462(1)