1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际授课需要或在课程检讨之后产生变动。如对课程有任何疑问,请联
系授课教师。
The course information as follows may be subject to change, either during the session because of unforeseen
circumstances, or following review of the course at the end of the session. Queries about the course should be
directed to the course instructor.
1.
课程名称 Course Title
高等数学 B Calculus B II
2.
授课院系
Originating Department
数学系 Department of Mathematics
3.
课程编号
Course Code
MA102C
4.
课程学分 Credit Value
3
5.
课程类别
Course Type
通识必修课程 General Education (GE)Required Courses
6.
授课学期
Semester
春季 Spring /秋季 Fall
7.
授课语言
Teaching Language
英文 English / 中英双语 English & Chinese
8.
他授课教师)
Instructor(s), Affiliation&
Contact
For team teaching, please list
all instructors
数学系 Department of Mathematics
9.
/
方式
Tutor/TA(s), Contact
待公布 To be announced
10.
选课人数限额(不填)
Maximum Enrolment
Optional
授课方式
Delivery Method
习题/辅导/讨论
Tutorials
实验/实习
Lab/Practical
其它(请具体注明)
OtherPlease specify
总学时
Total
11.
学时数
Credit Hours
36
复习、考试(2 周)8 小时
Revision & Exam (2
weeks) 8-hours
92
2
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
高等数学 B(上)(MA101C
Calculus B IMA101C
13.
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
本课程是化学、生物以及经济学专业的先修课程。
It is a prerequisite for majors in Chemistry, Biology and Finance.
14.
其它要求修读本课程的学系
Cross-listing Dept.
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
本课程的对象是将来选择化学、生物、经济学等对数学要求不高的专业的学生。本课程教学目的是使学生们获得从事
化学、生物、经济学等专业研究所必需的微积分方面的基础知识。本课程强调多变量微积分的基本概念、性质以及计算微
分和积分的基本技巧,培养学生们使用微积分的思想去解决其它科学领域的能力。本课程主要包括:常微分方程的简单介
绍、数列和函数的级数、向量函数的微分、偏微分,以及多重积分。
In this course, we emphasize intuitive and conceptual understanding of theory of multi-variable Calculus, computation
skills, and nurture the mentality, and develop the abilities for basic abstract thinking and logical reasoning. The course
will cover an introduction for ordinary differential equations, series, calculus of vector functions, partial derivatives, and
multiple integrals.
16.
预达学习成果 Learning Outcomes
通过课程的学习,使学生掌握高等数学的基本概念、基本理论和基本运算技能,为学生进一步学习以后的各门专业基础
课、各科专业课奠定必要的数学基础。
By learning Calculus B II, make students know the basic concepts and theorems, and obtain the basic calculation skill. It
will lay the necessary mathematical foundation for further study of every fundamental course and major course in future.
17.
课程内容及教学日历 (如授课语言以英文为主,则课程内容介绍可以用英文;如团队教学或模块教学,教学日历须注明
主讲人)
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
第九章 一阶常微分方程(4 小时)
第十章 无穷序列和无穷级数(10 小时)
第十一章 参数方程和极坐标(5 小时)
第十二章 向量和空间几何(5 小时)
第十三章 向量函数和空间曲线(3 小时)
第十四章 偏导数(10 小时)
第十五章 多元积分(7 小时)
Chapter 9 First-order Differential Equations: (4 hours)
Chapter 10 Infinite Sequences and Series: (10 hours)
Chapter 11 Parametric Equations and Polar Coordinates: (5 hours)
Chapter 12 Vectors and the Geometry of Space: (5 hours)
Chapter 13 Vector-Valued Functions and Motion in Space: (3 hours)
Chapter 14 Partial Derivatives: (10 hours)
Chapter 15 Multiple Integrals: (7 hours)
18.
教材及其它参考资料 Textbook and Supplementary Readings
3
教材:Thomas’Calculus, 13e, George B. Thomas, Maurice D. Weir and Joel Hass, Pearson Education, 2016.
TextbookThomas’Calculus, 13e, George B. Thomas, Maurice D. Weir and Joel Hass, Pearson Education, 2016.
课程评估 ASSESSMENT
19.
评估形式
Type of
Assessment
评估时间
Time
占考试总成绩百分比
% of final
score
违纪处罚
Penalty
备注
Notes
出勤 Attendance
5
课堂表现
Class
Performance
小测验
Quiz
15
课程项目 Projects
平时作业
Assignments
10
期中考试
Mid-Term Test
2 小时(2 hours
30
期末考试
Final Exam
2 小时(2 hours
40
期末报告
Final
Presentation
其它(可根据需
改写以上评估方
式)
Others (The
above may be
modified as
necessary)
20.
记分方式 GRADING SYSTEM
A. 十三级等级制 Letter Grading
B. 二级记分制(通/不通过) Pass/Fail Grading
课程审批 REVIEW AND APPROVAL
21.
本课程设置已经过以下责任人/员会审议通过
This Course has been approved by the following person or committee of authority