图 书 馆
数学分析 1Analysis 1 |
|
| 课程网址: | http://oer.avu.org/handle/123456789/14 |
| 主讲教师: | Jairus M.; Khalagai |
| 开课单位: | 非洲虚拟大学 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | 'Part 1 consists of three units:Unit 1 - Analysis on the real lineIn this unit we start by decomposing the set of real numbers into its subsets. We then define the so called standard metric on to be able to study its structure which consists of concepts like open and closed intervals, neighbourhoods, interior and limit points leading to examples of open and closed subsets of . Countability of such subsets and numerical sequences are also essential in the structure of as a metric space. We also study functions defined on sets of real numbers with respect to concepts of continuity differentiability and integrability.Unit 2 – Vector AnalysisThis unit deals with mainly vector calculus and its applications. Thus we specifically consider concepts like gradient, divergence and curl. This leads to well known theorems like Green’s stokes divergence theorems and other related results. The curvilinear coordinates system is also given a treat in this unit.Unit 3 – Complex AnalysisThe main objective in the study of this unit is to define a function of a complex variable and then look at its degree of smoothness such as existence of limit, continuity and differentiability along the lines of calculus of functions of a real variable. Also a look at integration and power series involving a function of a complex variable will complete this unit.In addition to downloading the files below, you can also view them directly:Module part 1 (Scribd)Intro to module (YouTube)Overview of module (YouTube)' |
| 关 键 词: | 实际分析; 矢量分析; 复杂分析 |
| 课程来源: | 信息不详。欢迎您在右侧留言补充。 |
| 最后编审: | 2020-05-23：杨雨(课程编辑志愿者) |
| 阅读次数: | 86 |