数学与应用数学培养方案(070101)-(Mathematics-and-Applied.doc

数学与应用数学培养方案（070101）（Mathematics and Applied Mathematics 070101）一、专业简介（、Major Introduction）数学与应用数学专业的专业方向有：基础数学和应用数学。本专业十分重视学生数学基础知识和专业基础知识的学习，注重对他们的创造性和创新能力的培养，为培养高级数学专业人才打好基础。经过四年学习，使学生初步具备在基础数学或应用数学某个方向从事当代学术前沿问题研究的能力。毕业后能从事数学及相关学科的教学和科学研究工作，并可继续深造，到高等学校或科研机构的基础数学、应用数学及其他交叉学科做研究生。The major (Mathematics and Applied Mathematics) have two branches: Pure Mathematics and Applied Mathematics. The major focus teaching on both basic and professional theory of mathematics, and is committed to cultivating the high-level mathematical talents with the innovative and creative ability. After four-years-study, the students should have researching ability for academic open problems in some directions of pure or applied mathematics. When the students in the major graduate, they can teach or study mathematics and related subjects, or they can be postgraduate students of universities or institutes in Pure Mathematics or Applied Mathematics or some other related branches.二、培养目标（、Cultivation Objective）培养掌握数学科学的基本理论与基本方法,具有运用数学知识或使用计算机解决实际问题的能力，受到科学研究训练的高级专门人才，能在科技、教育、经济和企事业等部门从事研究、教学工作或在生产经营及管理部门从事实际应用、开发研究和管理工作，或能继续攻读研究生学位。The cultivation objective of the major (Mathematics and Applied Mathematics) is to cultivate the students so that they can master fundamental theory and methods of mathematical sciences, are able to solve practical problems by using mathematical knowledge or computers, and are professional talents of high level with ability of scientific research. The students are expected to have experience of researches and teaching in departments of science and technology, education, economy, enterprises or others, or to have expertise of practical applications, developing researches, management in departments of production and management, or be able to continue to pursue postgraduate degrees.三、培养要求（、Cultivation Requirement）贯彻“面向工程、宽基础、强能力、重应用”的培养方针，探索建立专业拓展方向及相应课程体系，提高学生的专业技能。本专业学生主要学习数学和应用数学的基本理论、基本方法，受到数学建模、计算机和数学软件、程序设计和计算方法等方面的基本训练，在数学理论和它的应用两方面都受到良好的教育，具有较高的科学素养和较强的创新意识，具有科学研究、教学、解决实际问题及软件开发等方面的基本能力和较强的更新知识的能力。The major (Mathematics and Applied Mathematics) implements cultivating policies of the orienting project, base widened, capacity strengthened, focusing application, explores to establish professional development directions and corresponding curriculums, and improves professional skills of students. The students in the major mainly study fundamental theory and basic methods of mathematics and applied mathematics; are elementarily trained by mathematical modeling, computers, mathematical software, program design, computing methods, and so on; are well educated by mathematical theory and its applications; possess scientific quality of high level and strong sense of innovation; and possess basic skills and strong ability updating their knowledge in scientific research, teaching, solving practical problems and software development.四、学制与学位（、Schooling Period and Degree）学制四年。按计划要求完成学业者，授予理学学士学位。Schooling Period: 4 yearsStudents who complete all required courses will be conferred the bachelors degree.五、学时与学分(、Schooling Hours and Credits)总学分：144 (Total Credits：144)课程教学学时/学分：2224 /133.5占总学分的比例：92 (Curriculum Class Hours/Credits：2224 /133.5Percentage in Total Credits：92 %)六、专业主干课程(、Main Courses)数学分析、解析几何、高等代数、常微分方程、概率论、复变函数、实变函数、数学物理方程、数理统计、数学模型。 Mathematics Analysis, Analytic Geometry, Advanced Linear Algebra, Ordinary Differential Equations, Probability, Functions of Complex Variables, Functions of Real Variables, Differential Equations in Mathematics and Physics, Statistics, Mathematical modeling. 七、主要专业实验和实习安排（、Main Laboratory and Practice）数学与应用数学专业的学生主要有计算机编程、物理实验、数学实验，其中数学类实验结合数学建模与数学软件进行。Main experiments of the major (Mathematics and Applied Mathematics) include computer programming, physical experiments, and mathematical experiments, where mathematical experiments include uses of mathematical modeling and mathematical software. 八、专业优势及特色(、Major Predominance and Characteristics)具有一支治学严谨、研究领域广泛、实力雄厚的师资队伍，在“基础数学及其应用”的研究上具有非常突出的专业优势。其中，“现代数论和表示论”、“椭圆曲线与安全计算理论”和“现代分析”等方向中的多个研究领域处于国际领先水平。2007年被认定为“国家重点学科”。本专业注重科研与教学相结合，坚持实行名师学者、教授博导上讲台，请教学经验丰富、长期教学效果一流的名师担纲重要的基础课教学；请优秀学者设计高级特色课程并主讲，突出自身优势学科并帮助学生在相关领域迅速成长；请活跃的青年学者主持重要新兴领域的相关课程学习，指导优秀学生在这些领域的研讨班，调动其主观能动性，并提供给他们一些有益的科研创新经历和体验。同时，坚持定期邀请国际知名学者，特别是一些重要新兴领域的权威专家，来给学生介绍其相关学科的基本概况及最新进展，使其了解当前数学与应用数学领域的基本形势，为以后的数学理论研究与应用打下坚实的基础。The major (Mathematics and Applied Mathematics) possesses staff members of rigorous scholarship, extensive research fields and famous academic achievements; has very prominent professional advantage in the research of Basic Mathematics and Its Applications; located on international advanced level for some research works on Modern Number Theory and Representation Theory, Elliptic Curves and Secure Computing, Modern Analysis and a number of research areas; and was identified as National Key Subject in 2007. The major emphasizes combining research with teaching; insist to teach students by famous teacher concluding scholars, professors, advisors of doctoral postgraduates; invite famous teacher with rich teaching experience and long-term first-class teaching effects to lecture important basic course; invite outstanding senior professors to design and lecture advanced special courses, highlighting itself advantage subject and help students to grow rapidly in the relevant fields; and invite active young scholars to preside over study of related courses in important emerging field, to guide seminars of best students in these areas, to mobilize initiative of students, and to provide students with some useful experience of research and innovation. At the same time, the major adheres to regularly invite internationally renowned scholars, especially leading experts in some emerging important areas, to introduce basic profiles and latest progress in related subjects such that students can understand basic situations in current fields of Mathematics and Applied Mathematics and lay a solid foundation for the future research and applications of mathematics theory.九、各类课程学时学分比例（、Proportion of Schooling Hours and Credits）基础数学方向(Pure Mathematics)课程类别学分学时占总学分百分比必修通识教育必修课程113.5322179+9周77179%22%学科基础平台课程111928%专业平台课程4588031%专业方向基础课20.533614%实践环节59周4%选修通识教育核心课程30.51051216021%7%通识教育选修课程6964%专业方向选修课程14.525610%毕业要求总合计1442691+9周100%应用数学方向(Applied Mathematics)课程类别学分学时占总学分百分比必修通识教育必修课程114.5322211+9周77180%22%学科基础平台课程111928%专业平台课程4588031%专业方向基础课21.536815%实践环节59周4%选修通识教育核心课程29.51049616020%7%通识教育选修课程6964%专业选修课程13.52409%毕业要求总合计1442707+9周100%十、教学进程、学时学分总体安排（见下表）（、Curriculum, Schooling Hours and Credits）数学与应用数学专业课程设置及学时分配表 总表类别性质课程号Course No.课 程 名 称Course Name学分数总学时总学时分配按 学 期 周 学 时 分 配备 注Notes授课实验上机一学期二学期三学期四学期五学期六学期七学期八学期通识教育必修课程必修课程28050001中国化的马克思主义Chinese Marxism358483课外1028030001道德与法律Morals and Law358483课外1028040001马克思主义原理Basic Principles of Marxism358483课外10中国近现代史纲要Brief of Chinas Modern History1.529241.5课外5310020（1-3）4大学英语(二级起点1-3)College English(1-3)924096962+22+22+2自主学习48290410（1-4）0体育(1-4)Physical Educational (1-4)4128128111113103000大学计算机基础Introduction of Computer232322计算机技术基础Foundation of Computer Technologies36432162+269001001军事理论Military Theory232322形势政策与社会实践(1-6)Trend, Policy and Social Practice(1-6)1.57224111111课外48小 计Subtotal3277151296329+29+44+2514课外131通识教育核心课程选修课程课组号国学修养类Traditional Chinese Culture Group232322必修课组号创新创业类Innovation and Entrepreneurship Education Group232322课组号艺术审美类Art Aesthetic 232322课组号人文学科类Humanities Group232322理工类必修课组号社会科学类Social Sciences Group232322小计Subtotal101601604 24通识教育选修课程通识教育选修课General Education Selective69696222小计Subtotal69696222学科基础平台课程必修课程100160(1-2)0大学物理College Physics 8128128441001610大学物理实验College Physics Lab1323211大学化学College Chemistry 232322大平台课程小计Subtotal1119216032552090990(1-3)0数学分析（1-3）Mathematical Analysis（1-3）162562564+15+14+1090440(1-2)1高等代数（1-2）Advanced Algebra（1-2）914414444+109064001解析几何Analytical Geometry46464409018000常微分方程Ordinary Differential Equations46464409038001复变函数Function of Complex Variable46464409088000实变函数Real Function Theory46464409040000概率论Probability Theory464644小平台课程小计Subtotal4588088012+19+212+18专业课程选修课程“基础数学方向”专业基础课组Fundamental Mathematic Compulsory Group20.533632016812+1表二“应用数学方向”专业基础课组Applied Mathematics Compulsory Group21.5368320483+127+18+1表三“基础数学方向”选修课组Fundamental Mathematic Elective Group14.5/77.5256/1312208/116848/1448+33/153/76/34+32+1/9+3表二“应用数学方向”选修课组Applied Mathematics Elective Group13.5/77.5240/1312192/116848/1448+33/153/75/34+32+1/9+3表三平台选修课组Platform elective course group1016012832624表四实践活动必修课程69002001军训Military Training03周3周09009502毕业论文Graduation Thesis56周6周合计59周3周6周（基础数学）合 计Total1442691+9周23361289625+3+3周23+623+3191421+182+1+6周（应用数学）合 计Total1442707+9周232012812825+3+3周23+626+42113+117+172+1+6周备注：1.本表必修课部分为专业（大类）必修课（所有学生必须学习的）课程设置表，即综合教务系统中的课程计划表。2.选修课部分为课组设置表，即综合教务系统中的课组计划表。3.课程号栏目中必修课部分为课程号，选修课部分为课组号。基础数学方向的专业课程设置及学时分配表(课组课程) 表二类别性质课组号Course group number课程号Course No.课 程 名 称Course Name学分数总学时总学时分配按 学 期 周 学 时 分 配专业课组名称Specialized group name授课实验上机一学期二学期三学期四学期五学期六学期七学期八学期专业必修课组选修课程0901009126000拓扑学Topology4646440901009055001计算方法Computational Methods4.58064164+10901109066000近世代数Modern Algebra46464409092000数理方程Mathematics Equation in Physics46464409033000泛函分析Functional Analysis464644小计Subtotal20.533632016812+1专业选修课组0901109091000数据库与数据结构Database and Data Structure464644基础数学Pure Mathematics 0901009104000数学实验 Mathematics Lab2323220901109130000微分几何Differential Geometry4646440901109095000数论基础Basics of Number Theory464644090109001000C+程序语言C+ Programming Language3.56448163+10901009131001计算机原理Principles of Computer2.54832162+10901109059002计算机网络技术Computer Network Technology2.5.4832162+10901109103000数学内容方法和意义Mathematics Content Method and Meaning 2323220901109190000Linux 操作系统Linux Operating System3.56448163+10901109165000数学史History of Mathematics 2323220901109002000FoxPro数据库系统FoxPro Database System3.56448163+10901109107000数学专题Topic on Mathematics4646440901109065000金融数学Financial Mathematics4646440901109162000Java 语言Java Language2.54832162+10901109167000数学前沿讲座（1-2）Forefront Lectures on Mathematics（1-2）23232110901109101001数学模型Mathematical Models4646440901109189000代数表示论Algebra Representation Theory348483小计Subtotal14.5/77.5256/1312208/116848/1448+33/153/76/34+32+1/9+3应用数学方向的专业课程设置及学时分配表(课组课程) 表三类别性质课组号Course group number课程号Course No.课 程 名 称Course Name学分数总学时总学时分配按 学 期 周 学 时 分 配专业课组名称Specialized group name授课实验上机一学期二学期三学期四学期五学期六学期七学期八学期专业必修课组选修课程0901009104000数学实验 Mathematics Lab232322应用数学Applied Mathematics0901009055001计算方法Computational Methods4.58064164+10901009001000C+程序语言C+ Programming Language3.56448163+109092000数理方程Mathematics Equation in Physics46464409033000泛函分析Functional Analysis4646440901309147000应用统计方法Applied Statistics3.56448163+1小计Subtotal21.5368320483+127+18+1专业选修课组0901309163000Fortran语言 Fortran Language2.54832162+10901309074000力学基础Basics of Mechanics4646440901009126000拓扑学Topology4646440901109059002计算机网络技术Computer Network Technology2.54832162+10901309002000FoxPro数据库系统FoxPro Database System3.56448163+10901309129000微分方程数值解Numerical Solutions of Differential Equations4.58064164+10901309057000计算机图形学Computer Graphics3484830901309107000数学专题Topic on Mathematics4646440901309103000数学内容方法和意义Mathematics Content Method and Meaning 2323220901109190000Linux 操作系统Linux Operation System3.56448163+10901309091000数据库与数据结构Database and Data Structure4646440901009131001计算机原理Principles of Com