《概率論與數(shù)理統(tǒng)計(jì)》教學(xué)大綱

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11、uot;leadershipconstr uction,full playlevels cadresi nenter prisedevelopment int he概率論與數(shù)理統(tǒng)計(jì)課程教學(xué)大綱Probability Theory and Mathematical Statistics）制定單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院（應(yīng)用數(shù)學(xué)系）制定人：張福利審核人：方習(xí)年編寫時間：2011 年 08 月 16日第一部分課程概述一、基本信息（一）課程代碼（二）課程屬性、學(xué)分、學(xué)時概率論與數(shù)理統(tǒng)計(jì)是公共基礎(chǔ)必修課，4學(xué)分，64學(xué)時。（三）適用對象經(jīng)管類各專業(yè)本科生。（四）先修課程與知識準(zhǔn)備微積分、排列組合基礎(chǔ)知識。二、

12、課程簡介本課程主要研究隨機(jī)現(xiàn)象及其規(guī)律以及數(shù)據(jù)處理的理論與方法。主要內(nèi)容包括：隨機(jī)事件與概率、隨機(jī)變量及其分布、隨機(jī)變量的數(shù)字特征、二維隨機(jī) 向量的聯(lián)合分布與邊際分布、隨機(jī)向量的數(shù)字特征、隨機(jī)變量的獨(dú)立性、中心極限定理、統(tǒng) 計(jì)量、數(shù)理統(tǒng)計(jì)中常用的分布、點(diǎn)估計(jì)、最大似然估計(jì)、正態(tài)總體參數(shù)的區(qū)間估計(jì)、假設(shè)檢 驗(yàn)的概念和基本思想、正態(tài)總體的參數(shù)檢驗(yàn)、一元線性回歸分析。三、教學(xué)目標(biāo)通過該課程的學(xué)習(xí)，使學(xué)生掌握概率論與數(shù)理統(tǒng)計(jì)的基本概念、基本理論、基本方法和 運(yùn)算技能，為分析研究經(jīng)濟(jì)活動及實(shí)踐中出現(xiàn)的隨機(jī)現(xiàn)象和數(shù)據(jù)處理提供良好的數(shù)學(xué)工具， 也為學(xué)生今后學(xué)習(xí)各類后續(xù)課程和進(jìn)一步擴(kuò)大數(shù)學(xué)知識面奠定必要的數(shù)學(xué)

13、基礎(chǔ)。四、師資團(tuán)隊(duì)（文字部分：課程組長及成員姓名、學(xué)位、職稱； e-mail、電話等聯(lián)系方式；辦公地點(diǎn)姓名學(xué)位職稱e-mail電話辦公地點(diǎn)備注五、教學(xué)資源本課程采用面向21世紀(jì)課程教材：高等學(xué)校經(jīng)濟(jì)管理學(xué)科數(shù)學(xué)基礎(chǔ) 概率論與數(shù)理統(tǒng)計(jì) 第三版（龍永紅主編，高等教育出版社） 。教學(xué)參考資料：1 .龍永紅主編，概率論與數(shù)理統(tǒng)計(jì)中的典型例題分析與習(xí)題，高等教育出版社，2009.2 .龔德恩主編，經(jīng)濟(jì)數(shù)學(xué)基礎(chǔ)第三分冊概率統(tǒng)計(jì)，四川人民出版社，2005.3 .盛驟，謝式千，潘承毅編，概率論與數(shù)理統(tǒng)計(jì)第四版，高等教育出版社，2008.六、教學(xué)要求1 .課前認(rèn)真?zhèn)湔n，編寫教案，制作多媒體課件；2 .向?qū)W生明確

14、交待每一章、每一節(jié)的主要內(nèi)容，具體指出每一部分內(nèi)容應(yīng)掌握的程度， 以及學(xué)習(xí)的重點(diǎn)和難點(diǎn)；3 .講授本課程時，應(yīng)充分結(jié)合經(jīng)管類專業(yè)數(shù)學(xué)教學(xué)的目標(biāo)和特點(diǎn)，在教學(xué)中可以刪除一 些不必要的推理論證過程，致力于講清最基本的概念、定理和方法，多講解一些具有代表性 的例題，同時配備一定數(shù)量的習(xí)題，幫助學(xué)生加深對基本概念、定理和方法的理解和掌握， 提高學(xué)生運(yùn)用基本概念、基本理論和基本方法分析、解決問題的能力，強(qiáng)化理論與實(shí)際的結(jié) 合。七、學(xué)習(xí)要求1 .課前認(rèn)真預(yù)習(xí)，課堂認(rèn)真聽講，做好課堂筆記；2 .課后認(rèn)真復(fù)習(xí)，獨(dú)立完成作業(yè)。此外，還要做適當(dāng)?shù)木毩?xí)，掌握解題思路和基本方法 步驟，理解其實(shí)質(zhì)，鞏固和加深對概念、定

15、理和方法的理解和掌握。八、考核方案平時成績占15%期中考試成績占15%,期末考試成績占 70%。第二部分教學(xué)進(jìn)度表周別授課 次數(shù)授課章節(jié)與內(nèi)容摘要教學(xué) 時數(shù)備注1-36第一章隨機(jī)事件與概率124-78第二章隨機(jī)變量的分布與數(shù)字特征168-117第三章隨機(jī)向量1612-133第四章 數(shù)理統(tǒng)計(jì)的基礎(chǔ)知識613-167第五章參數(shù)估計(jì)與假設(shè)檢驗(yàn)14第三部分教學(xué)要點(diǎn)第一章隨機(jī)事件與概率第一節(jié)隨機(jī)事件一、教學(xué)內(nèi)容1 .隨機(jī)現(xiàn)象與確定性現(xiàn)象，隨機(jī)試驗(yàn)，樣本空間，隨機(jī)事件。2 .事件間的關(guān)系與運(yùn)算：包含、相等、和、積、差、互斥、對立、完備事件組。3 .事件的運(yùn)算律：交換律、結(jié)合律、分配律、自反律、對偶律。二、

16、教學(xué)要求了解隨機(jī)現(xiàn)象、隨機(jī)試驗(yàn)、樣本空間的概念；理解隨機(jī)事件的概念；掌握事件之間的關(guān) 系、運(yùn)算和運(yùn)算律。三、教學(xué)重點(diǎn)與難點(diǎn)事件的關(guān)系與運(yùn)算。第二節(jié)隨機(jī)事件的概率一、教學(xué)內(nèi)容1 .隨機(jī)事件的頻數(shù)與頻率。2 .概率的直觀定義和公理化定義。3 .概率的基本性質(zhì)。二、教學(xué)要求了解隨機(jī)事件的頻數(shù)與頻率；理解概率的直觀定義和公理化定義；掌握概率的基本性質(zhì) 和應(yīng)用這些性質(zhì)進(jìn)行概率的計(jì)算。三、教學(xué)重點(diǎn)與難點(diǎn)概率的加法公式。第三節(jié)古典概型與幾何概型一、教學(xué)內(nèi)容1 .古典概型。2 .幾何概型。f backlone backone roe to ul l stegheni ng members youh w ok,

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29、eandfair."Innovation ofperformance management,toe nsure that potentialemployees "zero fly".T o strengthen performance management,processcontrol,e nhanceemploy ee evaluati on and level sofeffectivecommunication t o improve performance management.Tofurtherquantifyand refineem ployee sta

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31、e二、教學(xué)要求理解概率的古典定義，會計(jì)算簡單的古典概率；理解幾何概率的定義，會計(jì)算簡單的幾何概率。三、教學(xué)重點(diǎn)與難點(diǎn)古典概型的計(jì)算。第四節(jié) 條件概率一、教學(xué)內(nèi)容1. 條件概率。2. 乘法公式。3. 全概率公式。4. 貝葉斯公式。二、教學(xué)要求理解條件概率的定義；掌握概率的乘法公式、全概率公式和貝葉斯公式，并會解有關(guān)的問題。三、教學(xué)重點(diǎn)與難點(diǎn)條件概率、全概率公式和貝葉斯公式的應(yīng)用。第五節(jié) 事件的獨(dú)立性一、教學(xué)內(nèi)容1. 事件的獨(dú)立性及其性質(zhì)。2. 伯努利概型。二、教學(xué)要求理解事件獨(dú)立性的定義，掌握獨(dú)立性的性質(zhì)；理解伯努利概型，掌握二項(xiàng)概率的計(jì)算方法。三、教學(xué)重點(diǎn)與難點(diǎn)事件的獨(dú)立性。第二章 隨機(jī)變量的

32、分布與數(shù)字特征第一節(jié) 隨機(jī)變量及其分布一、教學(xué)內(nèi)容1. 隨機(jī)變量的概念。2. 離散型隨機(jī)變量的概率分布及其性質(zhì)。3. 連續(xù)型隨機(jī)變量的概率密度及其性質(zhì)。4. 隨機(jī)變量的分布函數(shù)。二、教學(xué)要求理解隨機(jī)變量的概念，理解離散型隨機(jī)變量及其分布律和性質(zhì)；理解連續(xù)型隨機(jī)變量及其概率密度和性質(zhì)；理解隨機(jī)變量的分布函數(shù)的概念和性質(zhì)，掌握分布函數(shù)與分布律和概率密度之間的關(guān)系。分布函數(shù)、分布律、概率密度。第二節(jié) 隨機(jī)變量的數(shù)字特征一、教學(xué)內(nèi)容1. 離散型隨機(jī)變量的數(shù)學(xué)期望。2. 連續(xù)型隨機(jī)變量的數(shù)學(xué)期望。3. 隨機(jī)變量函數(shù)的數(shù)學(xué)期望。4. 數(shù)學(xué)期望的性質(zhì)。5. 隨機(jī)變量的方差。6. 隨機(jī)變量的矩與切比雪夫不等式

33、。二、教學(xué)要求理解期望、方差、標(biāo)準(zhǔn)差的概念；已知隨機(jī)變量的分布，會求期望和方差；會求隨機(jī)變 量函數(shù)的期望。三、教學(xué)重點(diǎn)與難點(diǎn)期望和方差的計(jì)算。第三節(jié) 常用的離散型分布-教學(xué)內(nèi)容1. 退化分布。2. 兩點(diǎn)分布。3. 二項(xiàng)分布。4. 幾何分布。5. 超幾何分布。6. 泊松分布。.、教學(xué)要求掌握幾種常用離散型分布及它們的期望和方差。:、教學(xué)重點(diǎn)與難點(diǎn)兩點(diǎn)分布、二項(xiàng)分布、泊松分布的概率模型、應(yīng)用場合和它們的數(shù)字特征。第四節(jié) 常用的連續(xù)型分布，、教學(xué)內(nèi)容1. 均勻分布。2. 指數(shù)分布。3. 正態(tài)分布。.、教學(xué)要求掌握三種常用連續(xù)型分布及它們的期望和方差。教學(xué)重點(diǎn)與難點(diǎn)均勻分布、指數(shù)分布、正態(tài)分布的概率模

34、型、應(yīng)用場合和它們的數(shù)字特征；正態(tài)分布的 計(jì)算（查表）Wewillconti nue to im prove thecom pany's i nternal to strengthe ning BFS+,a nd ERP,andSCM,te chnol o一.一 - . - -.-. L . > Lsche duling, nationalpolicytrends,stredevelopment intngthe ning tracrnal contr olsystem, an ol ogyapplicati ong track ,activeshould;tm, andstea

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39、to achi eve"accordi ngto law, standardizeandfair."Innovationons, strengthe ning operationsina ccor dancewit h law.Dee pening thei nformation ma nagementtoe nsurefull communi cation"zero resistance".otecti on, organizati on career health medi cal, contr olcare er against; continue

40、s to im plementati onpsychologi calwar ning preventionsystem,traini.I. - L .11.- . I_>-. _.11. -. 一.ofperformance management,toensure that potentialemployees "zero fly".To strengthen performance management,processcontrol,eng emplnhanceemployoconstantlyperfect ERP , and BFS+,and PI,and M

41、IS,aoyees health ofchara cter,a nd stable of mood andenter >I ee evaluation and level sofeffectivecommunication to improveperformance management.Tofurtherquantifyand refineemchieve d information resource s share d;toex pandPortal system appli cationofbrea dtha nd depth,play informati on system on

42、enterpriseofAssistantrol o stre ngthe n risk manageme nt, ensuret hatthe business of"zero risk".o stre ngthe ned businesspla nsma nagement,w illbusiness busi ness plans covertoalllevel-._ I.I .<_I - -II" -.IL. L I I . I.I. -一. 一 . 一 I.L _ - .-ployee standards .Work,fullplaypart y,a

43、nd bra nch,and members in "five type Enterprise" constructioninheofcore role,a ndfightie;to perfect dai ly run mai ntena nce operati onofre cords, pr omote problem reasonsanalysis andsystem handover;,ensurethe busine sscan contr olin control; to closeconcernfi nancial,a ndcoalel ectric li

44、nkage,a nd e nergy-saving一一- -I.- I 一 .一- 一 - 一. 一.一 L . > >_. I 一 . Jngfortressrole and pioneer modelrol e;to conti nue stostre ngtheni ng "fourgood" leadershipconstr uction,full playlevels cadresi nenter prise隨機(jī)變量函數(shù)的分布第五節(jié)，、教學(xué)內(nèi)容1. 隨機(jī)變量的函數(shù)。2. 離散型隨機(jī)變量函數(shù)的分布。3. 連續(xù)型隨機(jī)變量函數(shù)的分布。.、教學(xué)要求會求簡單隨機(jī)

45、變量函數(shù)的分布。教學(xué)重點(diǎn)與難點(diǎn)連續(xù)型隨機(jī)變量函數(shù)的分布。第三章 隨機(jī)向量 第一節(jié) 隨機(jī)向量的分布- 教學(xué)內(nèi)容1隨機(jī)向量及其分布函數(shù)。2離散型隨機(jī)向量的概率分布。3連續(xù)型隨機(jī)向量的概率分布。4二元正態(tài)分布。.、教學(xué)要求理解二維隨機(jī)向量的聯(lián)合分布與邊緣分布的概念；已知聯(lián)合分布會求邊緣分布。:、教學(xué)重點(diǎn)與難點(diǎn)聯(lián)合分布與邊緣分布。第二節(jié) 條件分布與隨機(jī)變量的獨(dú)立性- 教學(xué)內(nèi)容1條件分布與獨(dú)立性的一般概念。2離散型隨機(jī)向量的條件概率分布與獨(dú)立性。3連續(xù)型隨機(jī)向量的條件密度函數(shù)與獨(dú)立性。.、教學(xué)要求了解條件分布的概念，會計(jì)算簡單的條件分布問題。:、教學(xué)重點(diǎn)與難點(diǎn)隨機(jī)變量的獨(dú)立性。第三節(jié) 隨機(jī)向量的函數(shù)的分

46、布與數(shù)學(xué)期望- 教學(xué)內(nèi)容1離散型隨機(jī)向量的函數(shù)的分布。2連續(xù)型隨機(jī)向量的函數(shù)的分布。3隨機(jī)向量的函數(shù)的數(shù)學(xué)期望。4數(shù)學(xué)期望的進(jìn)一步性質(zhì)。f back bone ba ckboner ole;toful lstrengtheni ngmembers youthw ork,full playy outh employee s in compa ny devel opme nt inthe offorce role ;toimpr oveindepe ndentCommissionagainstcorrupti on w orklevel,stre ngthe ningon enter prise

47、busine sskeylink of effectivenessmonitored.,And mai ntain stability. Tofurtherstrengthenpublicityand educati on, im prove theoverall legalsystem.We must stre ngthe n safetymanagement,establish and improve theeducati on, supervisi on,a nd eval uationas one ofthetrafficsafety managementmechanism.o con

48、sci entiouslysum uptheOl ympic se curitycontrols,pr omoting i ntegrated managementtoa hig herlevel, highersta ndar ds,a higherlev elofdevel opment. Employe es, today is lunarca lendaron De cember24,the oxBellis abouttoring,atthis time ofyear,weclearlyfeelthe pulse oftheXX powerge nerationcom pany to

49、flourish,to moreclearly hearXX powerge neration companie s mature andsymmetrybreathing.Recalli ng past one a not heracr ossa raili ng,weareenthusiasti c andfullofconfidence.Futuredevelopmentopportunities,we moreexcitingfightmore spirited.Employees,letustogetheracr oss 2013full ofchalle nges andoppor

50、tunities,tocreatea green, l ow-costoperation, full ofhuma necare ofaworld -classpower ge neration companyand work hard!Theoccasi on ofthe Spring Festival,mysincere wish that y ouand thefamilies ofthe staff inthe newyear,good health, happy, happyWewillconti nue to im prove thecom pany's i nternal

51、 contr olsystem, andsteady im provementi n abil ity to manage a nd contr ol, optimize business processe s, to e nsuresmoot h processes, re sponsi bilitie s inplace ;to further strengthe n inter nalcontrol s,playa contr olpost independent over sight role ofevaluation com plyingwit hthird -party respo

52、nsi bility;t o activelymakeuseof internalaudittool sdete ctpote ntialmanageme nt,streamline,standardize relatedtransactions, strengthe ning operationsina ccor dancewit h law.Dee pening thei nformation ma nagementtoe nsurefull communi cation"zero resistance".oconstantlyperfect ERP , and BFS

53、+,and PI,and MIS,and SCM, informationsystem based construction,full integrationinformationsystem,achieve d information resource s share d;toex pandPortal system appli cationofbrea dtha nd depth,play informati on system onenterpriseofAssistantrole;to perf ectdai ly run mai ntena nce operati onofre co

54、rds, pr omote problem reasonsanalysis andsystem handover;to strengthe ning BFS+,a nd ERP,andSCM,te chnol ogyapplicati on oftraining,im proveempl oyeesa ppli cation information systemofcapacityand level. Humanisti ccaret oensure"zer o."To strengthe ning Humanities care, continues tofoster c

55、ompa nywind cl ear, a nd gasar e,and heartS hunofcultureatmosphere;strengthe ning love hel pedtra pped,care difficultemployees;carried outstyle activitie s, richem ployeeslife; strengthe ning health and labourpr otecti on, organizati on career health medi cal, contr olcare er against; continues to i

56、m plementati onpsychologi calwar ning preventionsystem,traini ng empl oyees health ofchara cter,a nd stable of mood andenter prising ofattitude, created friendlyfraternityofHumanitiesenvironment.o stre ngthe n risk manageme nt, ensuret hatthe business of"zero risk".o stre ngthe ned busines

57、spla nsma nagement,w illbusiness busi ness plans covertoalllevel,ensurethe busine sscan contr olin control; to closeconcernfi nancial,a ndcoalel ectric li nkage,a nd e nergy-savingsche duling, nationalpolicytrends,stre ngthe ning track ,activeshould;to implementation State -ow neda ssetsmet hod,furtherspe cification business fina ncail management ;toperfe ct risktubecontrolsyst