Single Variable Calculus
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课程评价
spContent=本课程采用全英文授课,充分吸收中外教材精华,讲授单变量微积分知识,所有视频均提供中英双语字幕供大家参考!课程适用于大学一年级学生、准备出国的高中生,以及想要提高国际化交流基础和能力的广大学习者。Do you want to know the details of calculus, established by Newton and Leibniz, which is one of the three greatest achievements in the 17th century? This course will help you to explore essentials of differentiation and integration.
—— 课程团队
课程概述

Calculus course focuses on the cultivation of students' ability of abstract thinking, logical reasoning, spatial imagination, experiment and observation, as well as the ability of comprehensive use of the knowledge learned to analyze and solve problems. It is also an important course to carry out mathematical quality education and cultivate the innovative spirit and ability of learners. Its content, thought and method have irreplaceable effect on training all kinds of talents' comprehensive quality.

Single Variable Calculus is the core and cornerstone of calculus theory with main contents: Preliminaries (real number, linescurve, function), limit and continuity (function, limit and continuity), differentiation and application of single variable function (derivative, differential, median theorem, function form), integration and application of single variable function (definite integral, basic formula of calculus, indefinite integral, abnormal integral).

Calculus gives the students of science and engineering all the basics knowledge they need for calculation. 



授课目标

When you finished this course, you will master concepts, theories and methods of single variable calculus, and you will be able to study in further multivariable calculus, science and engineering courses.

课程大纲
预备知识

Algebra & Trigonometry

证书要求

为积极响应国家低碳环保政策, 2021年秋季学期开始,中国大学MOOC平台将取消纸质版的认证证书,仅提供电子版的认证证书服务,证书申请方式和流程不变。

 

电子版认证证书支持查询验证,可通过扫描证书上的二维码进行有效性查询,或者访问 https://www.icourse163.org/verify,通过证书编号进行查询。学生可在“个人中心-证书-查看证书”页面自行下载、打印电子版认证证书。

 

完成课程教学内容学习和考核,成绩达到课程考核标准的学生(每门课程的考核标准不同,详见课程内的评分标准),具备申请认证证书资格,可在证书申请开放期间(以申请页面显示的时间为准),完成在线付费申请。

 

认证证书申请注意事项:

1. 根据国家相关法律法规要求,认证证书申请时要求进行实名认证,请保证所提交的实名认证信息真实完整有效。

2. 完成实名认证并支付后,系统将自动生成并发送电子版认证证书。电子版认证证书生成后不支持退费。


参考资料
  • G.B. Thomas, M.D. Weir, J. Hass, F.R. Giordano (2004). Thomas’s Calculus (11th edition). Addison Wesley.

  • J. Stewart (2015). Calculus (8th edition). Brooks Cole Cengage Learning.

  • R. Larson, B. Edwards (2017). Calculus (11th edition). Brooks Cole Cengage Learning.