数学与应用数学专业课程描述

数学与应用数学专业课程描述

Course Description for the Mathematics and Applied Mathematics

1.基本信息

姓名：

学号：

学院：数学与计算科学学院

专业：数学与应用数学

1．Basic information

Name:

Students No.:

College: Mathematics and Computational Science

Specialty:Mathematics and Applied Mathematics

2.教学安排

修业年限：4年（2008.9——2012.7）

拟授学位：理学学士

教学计划：公共必修课53学分，专业必修课40

学分，专业选修课2学分，校公选课8学分， 共 103学分;

2. Teaching arrangements

Duration of studying: Four years (From September 2008 to July

2012)

Academic degree to be conferred: Bachelor’s degree of Science Teaching plan: The required credits have totaled 103 credits, in

which 53 credits are for public compulsory

courses; 40 credits for professional compulsory

courses; 2 credits for professional courses; 8

credits for public school courses.

3.2008.9-2011.1已修课程描述

3 . Description of the courses which have been completed from

September 2008 to January 2010

1.大学英语College English（9学分）

本课程是面向除英语专业外的学生的基础必修课。它的总体目标是为学生打好语言基础、优化学习方法、增加文化积累、拓展逻辑思维能力，为其毕业后事业的发展提供有力的支持。本课程传授基础知识（常用词汇、实用方法、篇章结构、语言功能等），进行全面的基本技能训练.

1． College English (9 Credits )

The course is an basic obligatory course orientated to all the students but the students who only study English . Its overall target is to supply strong support f or the students’ career development after graduation by laying a good language foundation, optimizing the studying methods, increasing cultural accumulation and developing the ability of logic thinking. Through the course, the students have been taught fundamental knowledge (Common vocabulary, practical methods, text structure, language function and so on) in a systematic way and accepted the overall trainings of basic skills.

2、大学生心理健康与成长 Psychology and Health Education （1学分）

本课程是面向所有在校学生的必修课。它不仅是高校学生职前准备之需要，而且对提高大学生科学文化素养，优化大学生的心理素质大有裨益。

2.Psychology and Health Education(1 credits)

It is a required course to all the high school studengs .It is not only necessary to study befor working ,but also for improving the scientific and cultural qualities ,optimizing psychological qualities.

3.计算机文化基础 Fundamentals of Computer Culture （8学分） 本课程是一门以介绍计算机基础知识和计算机基本操作为主，理论与实际紧密结合，具有较强操作技能和实践性的计算机基础课程。内容包括:计算机硬件和软件的基础知识；计算机网络与Internet基础知识；Windows操作系统的使用；Word文字处理软件和PowerPoint演示文稿软件的使用。通过教学和上机实践使学生掌握电脑的知识和基本的操作技巧。

3．Fundamentals of Computer Culture (8 credits)

The course has mainly touched on fundamental computer knowledge and basic computer operating. In closely combination with theory and practices, it is a basic computer course with stronger operating skills and practices. It mainly includes fundamental knowledge of computer hardware and software, fundamental knowledge of computer networks and Internet; use of Windows operating system and use of Word processing software and

PowerPoint presentation software. Through teaching and operating, the students can master fundamental knowledge of computer and basic operating skills so as to be equipped with the ultimate fundamental skills to use computer.

4.解析几何 Analytic Geometry （3学分）

该课程是为大学数学专业一年级学生所开设的入门课程，因此我们局限于具体、系统地讲述解析几何论中经典的直线，曲线和曲面理论。通过本课程的学习，为学生深入地学习与研究现代几何学打下良好的基础。在课程的教学过程中，通过各个教学环节逐步培养学生具有抽象思维能力、逻辑推理能力、空间想象能力和自学能力，培养学生具有熟练的运算能力和综合运用所学知识去分析和解决实际问题的能力。

4. Analytic Geometry of Space（3 credits）

This course is an introductory course oriented to the first-year Mathematics majors, confined to a specific and systematic account of theories of lines, curves and curved surfaces in analytical geometry. This course will equip students with solid foundation for the further study of modern geometry. In the process of teaching, all the programmed are aimed at training students in abstract thinking, logic reasoning, space imagination and self-study ability. Students are required to be skilled in computing and be able to apply what they learn in solving practical problems.

5.军事理论Military Theory(3学分)

本课程对世界军事、中国军事思想、中国国防、兵役法基本知识、高

技术战争、精确制导武器、现代伪装和隐身技术、侦察监视技术、电子对抗、航天技术、激光技术、夜视技术、军事气象、军事地形学等等方面作较详细的阐述。较好的体现了观念、理念、知识、技能的综合，对学生树立国防意识，增强保卫祖国的使命感和责任感有很大的帮助。

5. Military Theory(3 credits)

This course has a detailed explanation for world military, Chinese military thoughts, China defense, basic knowledge of military service law, high-tech war, PGW, modern camouflage and stealth technology, reconnaissance surveillance technology, electronic countermeasure, space technology, night vision technology, military meteorological, military topography etc.It reflects the concept, ideas, knowledge and skills for students’ defense consciousness, enhance the sense of mission and sense of responsibility to defend the motherland has a great help.

6、数学分析 Mathematical Analysis(14学分)

数学分析是高校本科数学专业必修的重要的基础课，是数学系的主干课之一。本课程具体内容包括实数集和函数，数列极限与函数极限，函数的连续性，导数与微分，微分中值定理及其应用，

实数完备性，不定积分，定积分及其应用，反常积分，数项级数、函数列与函数项级数，幂级数，傅里叶级数，多元函数的极限与连续，多元函数微分学，，隐函数定理及其应用，含参量积分，重积分，曲线积分与曲面积分。

它主要是使学生获得极限论、函数微积分学、无穷级数等方面的系统知识，要求对基本概念、基本理论理解的基础上掌握其应用。

6. Mathematical Analysis（14 credits）

Mathematical Analysis is an elementary required course for undergraduate Mathematics majors. The course encompasses the following sections: the real number sets and function, sequence limits and functional limits, functional continuity, derivative and differentiation, differential theorem of the mean and its application, completeness of real numbers, indefinite integral, definite integral and its application, improper integral, numeral item series, function sequence and function item series, power series, Fourier series, limits and continuity on function of several variables, differential calculus of function of several variables, implicit function theorem and its application, integral of including parameter, repeated integral, curvilinear integral and curved surface integral.The teaching goal of this course is to equip students with the systematic knowledge of limits theory, function differential calculus and infinite series, etc. Students are require to grasp all the concepts and theories, and able to apply all of them.

7.思想品德修养与法律基础 Morality & Laws （3学分）

本课程是根据《中共中央宣传部教育部关于进一步加强和改进高等学校思想政治理论课的意见》设置的一门新课，以马克思列宁主义、毛泽东思想、邓小平理论、“三个代表”重要思想和科学发展观为指导，

对大学生进行思想道德教育和社会主义法制教育的一门思想政治理论课。通过学习，使学生了解我国社会主义宪法和有关法律基础知识，增强社会主义法制观念和法律意识，树立为人民服务为核心、以集体主义为原则的社会主义思想道德，树立科学的世界观、人生观和价值

观，将学生培养成为有理想、有道德、有文化、有纪律的社会主义公民。

7. Morality & Laws (3 credits)

The course is a new course offered in accordance with the Opinion of the Ministry of Publicity of the Central Committee of the Communist Party of China and the Ministry of Education on Further Strengthening and Improving the Ideological and Political Theory Course in the Institutions of Higher Education, taking as guidance Marxism-Leninism, Mao Zedong Thoughts, Deng Xiaoping Theory, Important Thoughts of “Three Represents” and the Scientific Outlook on Development, it is an ideological and political theory course through which college students can have the educations in ideological morality and socialism legality. Through studying it, the students can understand the Socialist Constitution of our country and relevant basic legal knowledge, enhance their concept about socialism legality and legal consciousness, establish a socialist ideological morality by focusing upon serving the people and taking the collectivism as its principle and set up scientific outlooks on world, life and value so that the students can be cultivated into a socialist citizen with lofty ideals, moral integrity, better education and good sense of discipline.

8．体育与健康教育 Physical and Health （6学分）

本课程是全校性公共必修课，通过三个学期的体育与健康教育，向学生传授体育的基本理论和基本知识与基本技术，提高学生的体育运动能力，发展学生的身体素质。增强体质，促进健康，全面提高学生的

身体素质。熟练掌握基本技术，初步形成持战术能力。

8. Physical and Health (6 credit)

It is a public compulsory course offered for the all the students. Through three semesters of physical and health education teaching, the students have been taught fundamental theories, fundamental knowledge and fundamental technologies so as to improve their sportive abilities, develop their physical quality, raise their physical endowments, promote their health and improved their overall physical quality. The students can skillfully master basic technologies and form initiative ability in special tactics .

9．形势与政策Situation and Policy(1学分)

本课是高校学生思想政治教育的重要内容和重要组成部分，是每个大学生的必修课程。本课以马列主义等重要思想为指导，正确分析当今国际国内发生的重大经济、政治、军事和社会问题等。

其目的是通过形势与政策教育，帮助大学生开阔视野，审时度势，增强实现改革开放和社会主义现代化建设宏伟目标的自信心与责任感。

9. Situation and Policy(1 credits)

This course is the important content and a part of the university students’ ideological and political education and it is a required course for all the students.It is in regarding Marxism etc important thoughts as a guiding ideology , correct analysis of international and domestic happen today major economic, political, military and social issues. Its purpose is to through the situation and policy education, to help students broaden our horizons, enhance the situation, to achieve reform, opening up and socialist modernization grand goal's

self-confidence and sense of responsibility.

10．大学语文 College Chinese （3学分）

本课程是一门将现代大学语文课程的工具性与人文性特点相统一的课程。该课适应当代人文社会科学与自然科学交叉渗透的发展趋势，培养具有全面素养的高素质人才。旨在提高大学生的人文素质，建立对人类普世价值体系的认同，实现大学生的“精神成人”；使学生了解基本的应用写作理论知识，具备基本的应用文写作能力及文章分析与处理能力，为写毕业论文做好必要的知识准备。

10. College Chinese (3 credits)

The course is a course integrated with an instrument of modern college Chinese and the humanities. The course adapts to the trend toward the mutually-penetrating development of contemporary humanities and natural sciences so as to cultivate the high quality talents with overall attainment. It aims at enhancing the quality of the students in humanities, form an identity about the system of human universal values and realize the “spiritual adult” of college students; the students are required to understand fundamental theoretical knowledge about practical writing, and have basic ability of practical writing as well as the ability of article analysis and treatment so as to make necessary knowledge preparation for graduation thesis writing.

11．高等代数Advanced Algebra(7学分)

高等代数是应用数学、信息与计算科学的重要专业基础课之一。它主要是讲授线性数学理论。其一是线性方程组的理论，主要研究线性方程组解的结构与求解的算法；其二是线性空间的理论，主要研究一般

有限维线性空间的结构及其上的几何。

11. Advanced Algebra (7 credits)

Advanced Algebra is one of the important elementary courses in the fields of applied mathematics, information and computing science. This course focuses on the theories of linear mathematics, composed of two parts: The first part is about linear equation theory, including the solution composition and computing methods of linear equations; the second is linear space theory, including the frame and geometry of limited linear space.

12．毛泽东思想和中国特色社会主义理论体系概论Mao Zedong Thoughts & De Xiaoping theory （6学分）

本课程是面向所有专业本科生的基础课程。该门课程主要介绍马克思主义中国化的历史进程及其理论成果，主要包括毛泽东思想和中国特色社会主义理论体系两大理论成果。介绍理论成果的形成背景、主要内容及其对实践的指导作用。

12. Mao Zedong Thoughts & De Xiaoping theory (6 credits)

The course is an elementary course oriented to the undergraduate of the specialties. The course mainly introduces the historical process of the Marxism with Chinese characteristics and its theoretical achievement. It mainly includes two theoretical achievements, that is, Mao Zedong Thoughts and the theoretical system of Socialism with Chinese characteristics. It introduces the background of the theoretical achievements, formation, main contents and their guiding role in practices.

13.现代秘书实务Modern Secretary(2学分)

《现代秘书实务》课程旨在信息社会背景下（宏观上经济一体化和微观上企业信息化管理）培养学生企业秘书职业素质和能力，使学生掌握秘书工作规律和程序规范，形成办公室事务处理能力、会务组织和管理能力和网络办公应用等秘书职业能力。

13. Modern Secretary(2 credits)

“Modern Secretary” course Cultivats students’ enter prise secretary professional quality and ability with the information society (macro-economy and micro enterprise information management )background,to enable students to master the rules and procedural norms secretarial work,the formation of the office of transaction processing capability,conference organization and management capacity and network applications such as office secretary professional capacity.

14．职业指导Vocational Guide(0.5学分)

“职业指导”课程为本科生必修课。课程以“职业发展”为抓手和切入点，从学生中普遍存在的问题入手，“关怀”大学生素质提升的“原点”，也是“盲点”——正确认识自我，着眼于引领学生主动思考、探索，明确目标，培养科学的思维方式。自主习得生存、学习、交流、共处、做事和创造等多方面的能力，提升内在素养和品质。

14.Vocational Guide(0.5 credits)

The vocational guidance is undergraduates compulsory course. It is as "career development" athe breakthrough point, from students agri-business and existing problem of common, "care" college students' quality promotion "origin", but also "blind spots" - correct

understanding, focusing on lead students to think actively, exploration, clear goal, fostering scientific way of thinking. Independent acquisition survival, learning, communication, coexistence, work and creation, and other aspects of ability, promotes the inner literacy and quality.

15.中国近代史纲要Outline of Modern Chinese History(2学分)

中国近现代史纲要是全国高等学校本科生必修的公共思想政治理论课。它是按照中宣部、教育部开设的必修的思想政治理论课之一。该课主要讲授中国近代以来抵御外来侵略、争取民族独立、推翻反动统治、实现人民解放的历史，帮助学生了解国史、国情，深刻领会历史和人民怎样选择了马克思主义，怎样选择了中国共产党，怎样选择了社会主义道路。

15.Outline of Modern Chinese History(2 credits)

The Outline of Modern Chinese History is college undergraduate’s compulsory public thought politics theory course.It is a required course which is opened according to the propaganda department, ministry of education .This course is the history mainly about resist the aggression、national independence、overthrow the reactionary and Realize people's liberation,which is aim at helping students know the national history and national conditionsof Chinese.So that let them have a deep understanding of history and people how to choose the Marxist,how to choose the communist party of China,how to socialist road.

16.程序设计语言Program Language(3学分)

本课程在介绍程序语言各种数据类型、表达式等基础知识的基础上，重点讨论顺序、选择、循环和函数等结构化程序设计思想和方法，同时还对各种典型算法、构造类型数据的应用及变量的存储类型和指针等知识进行详细的介绍。通过本课程的学习，使学生能够逐步掌握结构化程序设计的基本方法，提高学生的逻辑思维能力。

上机实践是学习程序设计的重要环节。通过上机环节的训练，增强学生阅读分析程序和调试程序的能力，培养独立分析和解决问题的能力，提高学生实际应用计算机的水平和技能。

16. Language Programming(3 credits)

language is a computer high-level language used widely, which has the features of polished language, plenty functions, understandability, complicated structure and so on. C language can be used to program both application software and system software. It is also the foundation of further study on C++, VC++ and other languages. This 54-hour course includes 32 hours of lecture and 22 hours of computer lab.

This course emphasizes the designing ideas and methods of structure programming on the basis of introduction of all kinds of data types and expressions of C language, and also interprets in details many typical algorithms, applications of constructed data type, storage styles of variants, pointer and other key knowledge. By studying this course, students will master the basic methods of structure programming step by step and advance the ideation. Computer practice plays an important role in the study of this course,

which helps students to improve abilities of reading and analyzing program, to foster the capabilities of analyzing and solving problems independently, and to improve the skill and technology of computer application.

17.马克思主义基本原理Basic Principles of Marxism(3学分)

通过本课程的学习帮助学生准确地把握辩证唯物主义和历史唯物主义的基本观点，确立辩证唯物的物质观和意识观、唯物辩证的发展观、科学的认识论和真理观、唯物辩证的历史观，使他们能够科学地理解毛泽东哲学思想、邓小平哲学思想特别是“三个代表”重要思想的哲学基础，树立马克思主义的世界观、人生观和价值观，提高理论思维水平和运用马克思主义科学世界观、方法论观察和分析问题的能力。 17 . Principles of Marxist （3 credits）

The course can help the students to grasp the basic viewpoints of Dialectical Materialism and Historical Materialism exactly. Through this course, the students can establish the dialectical and material Concept of Matter and Consciousness, Concept of Development, scientific Epistemology and Concept of Truth, and Concept of History and understand the basement of Mao Zedong’s and Deng Xiaoping’s Philosophical thoughts, especially the important Three Representatives scientifically. The students can establish the world view, outlook on Life and the concept of value. In the meantime, they can improve the level of theoretical thinking and the ability to observe and analyze problems by Marxist World Outlook and Methodology.

18.音乐鉴赏Music Appeciation(2学分)

本课程旨在扩大学生的音乐视野，使学生掌握多方面的音乐表现形式、音乐体裁等知识。提高学生的音乐感知能力、想象能力、理解能力和艺术鉴赏能力。掌握一定的音乐美学知识，提高和培养高尚的审美情趣。

18 . Music Appeciation (2 credits)

This course aims to expand student music vision, to make the students master the various music forms, such as music genre of knowledge. Improve students' music perception, imagination capacity, comprehension and artistic appreciation ability. Mastering certain music aesthetic knowledge, improve and cultivate noble aesthetic taste.

19．大学物理College Physics(4学分)

以物理学基础知识为内容的大学物理,既是重要的基础理论课程也是重要的科学素质教育课程。它不仅介绍物理学的基本原理知识、基本思想方法，同时还培养学生的探索和创新精神。培养学生提出问题、分析问题、解决问题以及通过多种途径获得知识的能力。

19 .College Physics(4 credits)

This course contain basic knowledge which is the important basic theory course and it is alsot the important course of Scientific literacy education. It not only introduces the basic principles of physics knowledge, basic thinking method, but also cultivate students' exploration and innovation spirit. Cultivating students' questions and problem analysis, problem solving and through a variety of means of acquiring knowledge ability.

20．概率统计Probability and Statistics(3学分)

概率统计是研究自然界、人类社会及技术过程中大量随机现象中的规律性的一门数学学科，是统计理论和方法的基础，与数学的其他分支有着密切联系，并在自然科学、人文科学、工程技术及经营管理等方面有着广泛的应用。本课程主要阐述概率论的基本思想，介绍研究随机现象的基本方法以及基本结果。其主要内容有：随机事件与其概率的概念性质及有关的运算，随机变量及其分布，随机变量的数字特征，极限定理等。

20. Probability and Statistics(3 credits)

Probability Theory is a branch of mathematics that studies the likelihood of occurrence of random events in nature, human society and industries. It provides with fundamental theories and methods for statistics, and is closely related with other branches of mathematics. Probability Theory is widely used in natural science, humanities, engineering technology, management and many other fields. This course is intended to introduce the basic concepts of probability theory, the basic methods and the common results of studying random events. The course includes the following sections: random event, concept and attributes of probability, computation of probability, random variables and their distribution, numeral characteristics of random variable, limit theorem and so on.

21．近世代数Modern Algebra(3学分)

本课程讲授代数中典型的代数系统：群、环、域。要求学生能了解群的各种定义，循环群，n阶对称群，变换群，陪集，不变子群的定义及其性质，了解环、域、理想、唯一分解环的定义。能够计算群的元

素阶，环中可逆元，零因子、素元，掌握Lagrange定理，群、环同态和同构基本定理，掌握判别唯一分解环的方法。理解环、域、线性变换群、素体等基本概念，掌握环同台、模、理想 。

21 .Modern Algebra(3 credits)

This course teaching about typical algebraic system in algebra: group, ring, domain. It requires students to understand the different definitions of cyclic group、 n order symmetric group、 transformation group、coset,、 the definition and properties of invariant subgroup, understanding the ring, domain, ideal, the definition of unique factorization domain .To calculate the order of the group ‘s elements,the ring of invertible element, zero divisor, prime element, master Lagrange theorem, master group and ring homomorphism and isomorphism basic theorem, grasps the discriminant method of unique factorization domain. Understanding basic concept of ring, domain, the linear transformation group,and grasps the ring, mold, idea etc.

22．数学方法论Mathematical Method（2学分）

数学方法论主要是研究和讨论数学的发展规律，数学的思想方法以及数学中的发现、发明与创新等法则的一门学问。数学是一门工具性很强的科学，它和别的科学比较起来还具有较高的抽象性等特征，为了有效地发展它、改进它、应用它或者把它很好地传授给学生们，就要求对这门科学的发展规律、研究方法、发现与发明等法则有所掌握，因此，从事与数学有关行业的工作者等都需要知道一些数学方法论。

22. Mathematical Method(2 credits)

Mathematical method mainly studied and discussed the

development of math rule, mathematical thought method and mathematical invention and innovation. Mathematics is an instrumental strong science, it has high abstraction characteristic than other scientifics. In order to effectively develop it , improve it, use it or make it very well to instruct the students , requires master this scientific law of development, research methods, the rule of discoveries and inventions, therefore, the people who work about mathematic are all need to know the principle of mathematics and some mathematical methods.

23．微分方程Differential Equations（3学分）

微分方程是数学专业及相关专业的重要基础课之一。它对先行课（数学分析与高等代数）及后续课（偏微分方程、微分几何、泛函分析等）起到承前启后作用，是数学理论中不可缺少的一个环节，对训练学生分析问题和解决问题的能力起重要作用;常微分方程又是理论联系实际的重要数学分支之一，在教学重要通过适当的实例，培养学生理论联系实际的意识和能力。

23. Differential Equations(3 credits)

Differential Equations is one of the most important elementary courses for Mathematics majors and other related majors. It is an indispensable part of mathematical theories and an important link between preceding courses (Mathematical Analysis and Advanced Algebra) and subsequent courses (Partial Differential Equations, Differential Geometry and Functional Analysis). This course will equip students with abilities of analyzing and solving problems. In addition, Differential Equations is an important branch of

mathematics which connects practice with theory, and this course will provide some practical examples in class, to raise student’s awareness and capabilities regarding how to connect theory with practice.

24．现代教育技术Educational Technology(3学分)

现代教育技术以计算机为核心的信息技术在教育教学中的理论与技术，运用现代教育理论和技术，通过对教学过程和资源的设计、开发、应用、管理和评价，以实现教学现代化的理论与实践。

24. Educational Technology(3 credits)

Education technology is the information technology as the core of computer in the theory and technology, using the modern education theory and technology, through the teaching process and the resources of design, development, application, management and evaluation, in order to realize the modernization of education theory and the practice.

25．信息检索Information Search(2学分)

为适应网络社会和知识经济时代科技迅猛发展，培养有高素质综合能力人才而开设的一门理论与实践相结合的课程。它侧重培养学生信息素养并掌握网络信息检索技能的一门科学方法课，是高校学生有效利用图书馆和因特网完成大学学业和学术研究的基础。

25. Information Search(2 credits)

In order to adapt to the social network and knowledge economy era technology rapid development, cultivate the high-quality talents and the comprehensive ability to found integrating theory with practice

course. It focuses on training students' information literacy and mastery of the network information retrieval skills of a science method course,which is the college students use the library and the Internet effectively complete their college courses and academic research.