陶渊明采菊东篱下数学与应用数学专业课程描述

2020年11月30日发(作者：宗奎)

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

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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 for 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.

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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

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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

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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 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。

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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 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

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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

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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 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

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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

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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
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.


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Zedong