Advanced Engineering Mathematics - Fourier Series

所在平台: Udemy

课程主页: https://www.udemy.com/course/advanced-engineering-mathematics-fourier-series/

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**课程名称:** 高级工程数学 - 傅里叶级数 **课程概述:** 本课程旨在帮助您掌握工程数学中的傅里叶级数。课程包含 7 小时以上的点播视频,并提供测验、练习册、公式表和详细解答。课程结构设计周全,无论您的数学背景如何,都能轻松学会傅里叶级数。讲师认为任何复杂的课题都可以分解为易于理解的小部分,并以此方法构建课程。 **您将学到的内容:** * 三角函数在不同幅度、周期、相位偏移和垂直偏移下的图形绘制 * 用两种不同的方式解析描述非正弦函数 * 周期性非正弦函数的图形绘制 * 使用積分表和积分简单函数 * 更高级的积分技巧,包括三角函数积分和部分积分的应用 * 狄利克雷条件及其应用 * 傅里叶级数系数的求解 * 解析和图形化识别偶函数和奇函数 * 傅里叶级数中与偶函数相关的第一个定理 * 傅里叶级数中与奇函数相关的第二个定理 * 半程正弦级数和余弦级数 **适合人群:** 如果您已熟练掌握傅里叶级数系数求解前的相关主题,或即将面临考试,可直接跳至相关章节学习。 **课程特色:** * 提供问答环节,有友善的支持。 * 30天无忧退款保证。 * Udemy结业证书。 * 终身访问权限。

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MASTER FOURIER SERIES FOR YOUR ENGINEERING MATHEMATICS CLASS!This Fourier Series course includes 7h+ of on-demand video supported with quizzes, workbooks, formula sheets and fully detailed solutions. The structure of the course is tailored in a way that everyone with any background knowledge of mathematics can come and master the Fourier Series. I always believed that any topic, no matter how complex can be broken down into smaller elements that are easy to understand and I took this approach in this course. You will be able to master the following sections:Graphing of trigonometric functions with varying amplitude, period, phase shift and vertical shiftDescribing the non-sinusoidal functions analytically in two different waysGraphing of the periodic non-sinusoidal functionsUsing integration table and integrating simple functionsMore advanced integration covering integrals of the trigonometric functions and application of the partial integrationUnderstanding Dirichlet conditions and how to apply themFinding Fourier Series coefficientsIdentifying even and odd functions analytically and graphicallyThe first theorem in Fourier Series connected to the even functionsThe second theorem in Fourier Series connected to the odd functionsHalf Range Sine and Cosine SeriesNow if you are someone that is very comfortable in the topics leading up to finding the Fourier Series coefficients or you have an exam in 24hours, feel free to jump ahead to the section of the course!THIS COURSE ALSO PROVIDES YOU WITH:Q & A section with a friendly support30-day money-back guaranteeUdemy Certificate of CompletionLifetime access!

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