|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/z-transform/
课程评论：没有评论
Coursera Z变换课程总结 本课程由Chaitali Badarayani主讲，她拥有数学硕士学位，并拥有超过8年的工程学教学经验。她热衷于数学，擅长将复杂的数学概念以简单易懂的方式传授给学生，致力于激发学习兴趣。 该课程全面深入地介绍了Z变换，涵盖了以下关键内容： * **Z变换基础**：Z变换的定义、序列、序列的表示方法以及序列的基本运算。 * **Z变换性质与定理**：详细讲解了Z变换的各项性质，包括尺度变换（Change of scale）和移位（Shifting）等重要定理。 * **逆Z变换**：教授了逆Z变换的多种求解方法，包括长除法（Division）、二项式展开（Binomial Expansion）、部分分式法（Partial Fraction）以及留数法（Residue method）。 * **应用**：重点讲解了Z变换在解决差分方程（Difference Equations）和微分方程（Differential Equations）中的应用。 * **其他重要定理**：包括乘法（Multiplication by K）、除法（Division by K）、初始值定理（Initial Value theorem）、最终值定理（Final Value theorem）以及部分和（Partial sum）和卷积定理（Convolution theorem）。 课程中配有大量已解决的例题，旨在帮助学生扎实掌握Z变换的各项知识，为考试和实际应用做好充分准备。本课程涵盖了Z变换领域中重要且核心的部分，是系统学习Z变换的优质资源。
Hello everyone, My name is Chaitali Badarayani. I have completed my Masters in mathematics and worked as a assistant Professor and tutor for Engineering students for more than 8 years.I am passionate about Mathematics & its concept and wanted to share this passion with others.I loves to teach students the complex concepts in easy and simplified manner so as to make learning process interesting to anyone.This course covers all the details of Z Transform which includes Z Transform Definition, Sequence, Representation of sequence, Basic operations on sequences, Properties of Z Transform, Theorems including i) Change of scale property ii) Shifting property,Inverse Z Transform, Solution of difference equations, Multiplication by K, Division by K, Initial Value theorem, Final value theorem, Partial sum, Convolution theorem, Inverse of Z Transform by division, By Binomial Expansion and partial fraction, inversion by residue method, solution of differential equations.This course covers major and important part of Z Transform with solved examples. It will help students in preparation of the topic.This course covers all the details of Z Transform which includes Z Transform Definition, Sequence, Representation of sequence, Basic operations on sequences, Properties of Z Transform, Theorems including i) Change of scale property ii) Shifting property,Inverse Z Transform, Solution of difference equations, Multiplication by K, Division by K, Initial Value theorem, Final value theorem, Partial sum, Convolution theorem, Inverse of Z Transform by division, By Binomial Expansion and partial fraction, inversion by residue method, solution of differential equations.This course covers major and important part of Z Transform with solved examples. It will help students in preparation of the topic.
