1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际课需要或在课程检讨之后产生变动。如对课程有任何疑问,
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(上)A Calculus I A
2.
授课院系
Originating Department
数学系 Department of Mathematics
3.
课程编号
Course Code
MA101B
4.
课程学分 Credit Value
4
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
王融 (Rong Wang, et al.)
数学系 Department of Mathematics
wangr3@sustech.edu.cn
9.
验员/、所、联
方式
Tutor/TA(s), Contact
待公布 To be announced
10.
选课人数限额(可不)
Maximum Enrolment
Optional
2
11.
授课方式
Delivery Method
讲授
Lectures
实验/
Lab/Practical
其它(具体注明)
OtherPleasespecify
总学时
Total
学时数
Credit Hours
64
96
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
13.
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
其后续课程为高等数学 A(下),是工科各专业的先修课程。
It is a prerequisite for Calculus II A, and it’s also a prerequisite for every major in
Engineering.
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物理、计算机、电子工程等对数学要求较高的专业的学生。本课程强调单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:
极限与连续性理论、单变量微分及其应用、单变量积分及其应用、常微分方程的简单介绍。
In this course, we emphasize intuitive and conceptual understanding of theory of single-variable Calculus, computation
skills, and nurture the mentality and the ability to use Calculus to solve problems in other scientific disciplines. The
course will cover limits and continuity, derivatives, single variable integrals, and ordinary differential equations.
16.
预达学习成果 Learning Outcomes
通过高等数学 A 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 I A, 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.)
3
第二章 极限和连续性(7 小时)
第三章 导数(8 小时)
第四章 导数的应用(8 小时)
第五章 积分(8 小时)
第六章 定积分的应用(6 小时)
第七章 超越函数(8 小时)
第八章 积分的技巧(11 小时)
第九章 一阶常微分方程(4 小时)
Chapter 2 Limits and Continuity: (7 hours)
Chapter 3 Differentiation: (8 hours)
Chapter 4 Applications of Derivatives: (8 hours)
Chapter 5 Integration: (8 hours)
Chapter 6 Applications of Definite Integrals: (6 hours)
Chapter 7 Transcendental Functions: (8 hours)
Chapter 8 Techniques of Integration: (11 hours)
Chapter 9 First-order Differential Equations: (4 hours)
18.
教材及其它参考资料 Textbook and Supplementary Readings
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 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
30
期末考试
Final Exam
40
期末报告
Final
Presentation
其它(可根据需要
改写以上评估方
式)
Others (The
above may be
4
modified as
necessary)
20.
记分方 GRADING SYSTEM
A. 十三级等级制 Letter Grading
B. 二级记分制(通过/不通过) Pass/Fail Grading
课程审 REVIEW AND APPROVAL
21.
本课程设置已经过以下责任人/委员会审议通过
This Course has been approved by the following person or committee of authority