0


微积分学

Calculus
课程网址: http://oer.avu.org/handle/123456789/53  
主讲教师: Masenge; Ralph W. P.
开课单位: 非洲虚拟大学
开课时间: 2010-12-16
课程语种: 英语
中文简介:
这是一个四单元模块。前两个单元涵盖了单个变量函数的微分和积分计算的基本概念。第三个单元专门用于实数的序列和实数和一些特殊函数的无限系列。第四个单元是几个变量函数的微分和积分计算。 从单个变量的功能限制和连续性的基本概念的定义开始,该模块继续介绍区分和集成的概念,涵盖方法和应用。 给出了序列收敛和无穷级数的定义。给出了无穷级数收敛的测试,包括幂级数的区间和收敛半径的概念。 引入了几个变量函数的部分导数,并用于制定泰勒定理和寻找相对极值。  
课程简介: This is a four unit module. The first two units cover the basic concepts of the differential and integral calcualus of functions of a single variable. The third unit is devoted to sequences of real numbers and infinite series of both real numbers and of some special functions. The fourth unit is on the differential and integral calculus of functions of several variables. Starting with the definitions of the basic concepts of limit and continuity of functions of a single variable the module proceeds to introduce the notions of differentiation and integration, covering both methods and applications. Definitions of convergence for sequences and infinite series are given. Tests for convergence of infinite series are presented, including the concepts of interval and radius of convergence of a power series. Partial derivatives of functions of several variables are introduced and used in formulating Taylor’s theorem and finding relative extreme values.  
关 键 词: 单变量函数; 无穷级数; 幂级数; 泰勒定理
课程来源: 非洲虚拟大学公开课
最后编审: 2020-10-01:yumf
阅读次数: 85