智慧慕课 认证学习
Single Variable Calculus
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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.
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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

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.