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1、数值分析与程序设计课程教学大纲CourseOutline课程基本信息（CourseInformation）课程代码（CourseCode）MA179*学时（CreditHours）48*学分（Credits）3*课程名称（CourseTitle）（中文）数值分析与程序设计（英文）NumericalAnalysisandProgramming*课程性质（CourseType）必修课授课对象（TargetAudience）致远荣誉计划的学生*授课语言(LanguageofInstruction)中文*开课院系（School）致远学院先修课程（
2、Prerequisite）无授课教师（Instructor）徐振礼课程网址(CourseWebpage)*课程简介（Description）（中文300-500字，含课程性质、主要教学内容、课程教学目标等）本课程是致远学院一年级数学学生的基础课，以讲授科学计算学科的基本概念和基础计算方法的分析为主。本课程的内容包含非线性方程求根、多项式插值、函数逼近论、数值微分、数值积分、常微分方程数值解、线性方程组数值解法和矩阵特征值计算。同时，本课程强调对学生计算能力和程序编制能力的培养，平时作业中上机实验题占很大的比重。*课程简介（Descript
3、ion）Thisisafundamentalcourseforfirst-yearundergraduatestudentsmajoringinmathematicsfromtheZhiyuanCollege.Itfocusesonfundamentalconceptsandanalysisofbasicnumericalmethodsofscientificcomputing.Thecontentofthiscourseincludesrootsofnonlinearequations,polynomialinterpolations,
4、approximationtheory,numericaldifferentiationandintegration,numericalsolutionsofordinarydifferentialequations,numericallinearalgebraandeigenvaluecomputation.Thiscoursealsopaysattentiontothetrainingofthestudents’abilityinscientificcomputingandcomputerimplementation.Projects
5、usingcomputerprogrammingwillbeanimportantcomponentforstudents’finalscores.课程教学大纲（coursesyllabus）*学习目标(LearningOutcomes)1．掌握基本的数值计算方法2．学会分析计算法方法的稳定性和精度3．学会编写计算机程序实现算法4．学会撰写计算机实验报告*教学内容、进度安排及要求(ClassSchedule&Requirements)教学内容学时教学方式作业及要求基本要求考查方式Introduction,Roundoffandtheore
6、ticalerrors,matlabtutorial,bisectionmethodWeek1Fix-pointiteration,Newton’sandSecantmethodsWeek2Erroranalysisforiterativemethods,acceleratingtechniques,multiplerootsWeek3Lagrange,NewtonandHermitepolynomialsWeek4Programmingtutorial,Spline,parametriccurvesWeek5Numericaldiffe
7、rentiation,Richardson’sextrapolation,TrapezoidalandSimpson’sruleWeek6Compositeformulas,Rombergintegration,Gaussquadrature,improperintegralsWeek7ODEs,Euler’smethod,Higher-orderandWeek8RKmethodsMultistepmethods,midtermtestWeek9High-orderequationsandODEsystems,stability,stif
8、fODEWeek10DirectmethodsforlinearsystemsWeek11Matrixnorms,eigenvalues,JacobiandGauss-Seideliterat
