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ScienceandEngineeringCourses.doc

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ScienceandEngineeringCourses ProbabilityTheoryandMathematicalStatistics Teachingprogram CourseCode:112(1-2)00032 CourseName:probabilitytheoryandmathematicalstatistics(1) Credit:4 HoursperWeek:4 Abstract: ⅠTheCourseCharacterandTeachingAim Probabilitytheoryandmathematicalstatisticsisamathematicalsubjectresearchingtheobjectivelawofrandomphenomena.Itisanimportantbasictheorycourseintheuniversityteachingplan. Throughthestudyingofthiscourse,makestudentsunderstandthebasicconceptsofprobabilitytheoryandmathematicalstatistics,masterthebasictheoryofprobabilitytheoryandmathematicalstatistics,soastoenablethestudentstomasterthebasicideasandmethodsofprocessingrandomphenomena,developthestudents'abilitytousethemethodofprobabilityandstatisticstosolvepracticalproblems,. ⅡBasicRequirementsofTheCourse 1.Askstudentstohaveaclearunderstandingofthebasicconcepts,thebasictheoryandthebasicmethodsofthiscourse; 2.Understandtheintuitivemeaningofthebasicconceptandthebasictheoryoftheprobabilitytheoryandmathematicalstatistics; 3.Developstudents’abilitytoanalyzeandsolveproblemswiththemethodofprobabilitystatistics. ⅢApplicableObjects:theundergraduateandcollegestudentsofalltheengineeringmajors. ⅣFirstcourses:highermathematics,linearalgebra ⅤHoursDistribution Thefirstchapterrandomeventsandprobability,12hours; Thesecondchapterrandomvariableanditsdistribution,8hours; Thethirdchaptermultidimensionalrandomvariableanditsdistribution,12hours; Thefourthchapternumericalcharacteristics,8hours; Thefifthchapterlimittheorem,4hours; Thesixthchapterbasicconceptofmathematicalstatistics,4hours; Theseventhchapterparameterestimation,8hours; Theeighthchapterhypothesistest,4hours. Atotalof60hours. ⅥTeachingContent ThefirstchapterRandomEventsandProbability 1.RandomEventsandTheSampleSpace Understandtheconceptofsamplespaceandrandomevents,mastertherelationshipandoperationofeventsandtheconceptofprobability,graspthebasiccharactersofprobability,beabletocalculatetheclassicalprobabilityandgeometryprobability; 2.ConditionalProbabilit