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1、Advanced Math课程教学大纲一、课程基本信息课程名称:Advanced Math课程代码:MAT301学分:4学时:3学时/课,共54学时。二、任课教师、助教、教室等情况(三)课程资源:lecture notes, recommended textbooks and reading materials.(四)教 室:C503实验室:N/A(五)上课时间:每周五晚上1012节(六)纪 律:1、无特殊情况,不允许无故缺课。2、每次作业须在规定时间内提交。三、阅读材料(一)推荐教材:1. Advanced Algebra 1.0 ( :/lardbucket.org)2. Calculus
2、 for Business, Economics, Life Sciences and Social Sciences (12th Edition) by Raymond A. Barnett (Author), Michael R. Ziegler (Author), Karl E. Byleen (Author)(二)参考教材3. Understanding Basic Calculus by S. K. Chung.(三)进一步阅读教材1 .Recommended business reports.四、课程内容概要(一)课程目标The goal of this course is to
3、provide students the basic mathematical tools needed for business and economics. Students are required to understand the following mathematical theories and use them as tools in future:令 basics of algebra;令 solving linear and nonlinear equations;令 essentials of set theory, functions, derivatives;令 o
4、ptimization.(二)课程内容序号题目知识点学时(课堂 教授)1IntroductionIntroduction to Advanced Math32Set TheoryDefinition of sets and basic set operations.33Number SystemsNumber systems constructed on set theory and their properties.34Properties and Operations of Real Number FieldFundamental properties and operations of
5、real number field.65Maps and functionsDefinition and examples.66Euclidean Space and Coordinate SystemsDefinition and properties.6Project real number system to Euclidean System.9Linear OperatorsDefinition of Linear Operators.3Properties and application.6DerivativesDefinition, properties and applicati
6、ons.67Review and Q&AReview and Q&A3课时总计:54学时(三)课程要求1 .热爱中华人民共和国,中国共产党与中华民族。拥护四项基本原那么,拥 护中国共产党的领导;积极主动地将本课程学习内容与新时期中国特色社会主义 实践相结合,为服务社会,服务人民而艰苦奋斗。2 .文献与参考书阅读作业:课堂进行随机抽查回答与提前指定汇报结合方 式。3 .平时课后作业:按时规定的时间交与助教进行批改,隔一周上课时间助教 与授课教师进行评讲。4 .随机课堂小测验,并及时讲解以加深学生对所学知识的认识。(四)课程安排课程讲授内容课式 授方作业(教材)/ 测验辅助学习 材料1带一路战略简
7、介。 Introduction to Advanced MathLecturesLecture notesTextbook2 讨论:一带一路中的中国与他国关系。 Definition of sets and basic set operations.LecturesLecture notesTextbook3 讨论:一带一路中的中国与他国之间的LecturesLectureTextbook贸易往来。 Number systems constructed on set theory and their properties.notes4-5 讨论:我为一带一路献点策。 Fundamental p
8、roperties and operations of real number field.LecturesLecture notesTextbook6-7 讨论:我对一带一路未来的思考与世界 新格局。, Maps and functions: definition and examples.LecturesLecture notesTextbook89 讨论:你对中国知多少? Euclidean Space and Coordinate Systems : definition and properties.LecturesLecture notesTextbook1012 讨论:我的国家与
9、我的家庭。 Project real number system to Euclidean System.LecturesLecture notesTextbook13中国历史上的数学贡献。Definition of Linear Operators.LecturesLecture notesTextbook1415Linear Operators: Properties and application.LecturesLecture notesTextbook1617马克思主义中的剩余价值。,Derivatives: definition, properties andapplications.LecturesLecture notesTextbook18Review and Q&A.LecturesLecture notesTextbook五、考核方式考试形式考察内容考察方式分值期末考试课程课程内容开卷考试50期中测验1次期中测验开卷考试10课堂测验3次章节测试(包括期中测 验)开卷考试30出勤率到课情况不定期点名,3次不到不及格10